Metrics for sqrt D (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 8 to 7 computations (12.5% saved)

Precisions

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

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

const: 0.0ms (0% of total)

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

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

sample1.0s (31%)

Results

725.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 549.0ms

ival-pow: 269.0ms (49% of total)

ival-sqrt: 192.0ms (35% of total)

ival-mult: 70.0ms (12.8% of total)

const: 14.0ms (2.6% of total)

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

Bogosity

preprocess47.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

49×	`fma-define`
29×	`associate-r`
24×	`fma-neg`
18×	`unsub-neg`
18×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	25	84
2	47	84
3	134	84
4	243	84
5	305	84
6	333	84

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #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))))
(sqrt.f64 (*.f64 #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)))))

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

Symmetry

(abs x)

explain128.0ms (3.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
113	-	3	(3.812888431577557e-159)	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`

Results

104.0ms

512×

256

valid

Compiler

Compiled 43 to 34 computations (20.9% saved)

Precisions

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

ival-pow: 16.0ms (52.4% of total)

ival-mult: 8.0ms (26.2% of total)

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

const: 2.0ms (6.6% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize40.0ms (1.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	59.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

27.0ms

256×

256

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow: 8.0ms (54.4% of total)

ival-mult: 3.0ms (20.4% of total)

ival-sqrt: 2.0ms (13.6% of total)

const: 1.0ms (6.8% of total)

series4.0ms (0.1%)

Counts

2 → 12

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)))>

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))))>

Calls

6 calls:

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

rewrite252.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

385×	`unpow-prod-down`
301×	`log1p-expm1-u`
301×	`expm1-log1p-u`
288×	`add-exp-log`
271×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	90	30
2	944	30

Stop Event

1×	node limit

Counts

2 → 95

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)))

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

simplify86.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-define`
404×	`associate-+l-`
376×	`associate-+r-`
346×	`distribute-lft-out`
307×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	2988
1	423	2934
2	1145	2838
3	4297	2832

Stop Event

1×	node limit

Counts

107 → 133

Calls

Call 1

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

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

eval43.0ms (1.3%)

Compiler: Compiled 1534 to 1235 computations (19.5% saved)

prune18.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Accuracy

100.0%

Counts

134 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.5%	(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
▶	100.0%	(hypot.f64 x x)
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	59.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
▶	41.5%	(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize148.0ms (4.6%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
✓	34.6%	(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
✓	100.0%	(hypot.f64 x x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	99.6%	(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
✓	99.3%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	41.5%	(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))

Results

123.0ms

256×

256

valid

Compiler

Compiled 54 to 41 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 46.0ms (43.8% of total)

ival-pow: 34.0ms (32.4% of total)

ival-sqrt: 13.0ms (12.4% of total)

<compiled-spec>: 7.0ms (6.7% of total)

const: 3.0ms (2.9% of total)

ival-cbrt: 2.0ms (1.9% of total)

ival-add: 1.0ms (1% of total)

series173.0ms (5.4%)

Counts

7 → 72

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
62.0ms	x	@	-inf	(pow (* (pow x 4) 4) 1/4)
60.0ms	x	@	-inf	(cbrt (pow (* x (sqrt 2)) 3))
42.0ms	x	@	0	(pow (* (pow x 4) 4) 1/4)
1.0ms	x	@	inf	(pow (* x (sqrt 2)) 3)
1.0ms	x	@	0	(pow (* x (sqrt 2)) 3)

rewrite145.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log1p-expm1-u`
547×	`expm1-log1p-u`
465×	`pow1`
356×	`prod-exp`
354×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	106
1	227	100
2	2280	100

Stop Event

1×	node limit

Counts

7 → 428

Calls

Call 1

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

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

simplify447.0ms (13.8%)

Algorithm

1×	egg-herbie

Rules

506×	`exp-sum`
459×	`exp-prod`
454×	`fma-define`
342×	`distribute-lft-in`
339×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	21474845506
1	741	21474845426
2	1489	21474845276
3	2952	21474845276
4	5446	21474845276

Stop Event

1×	node limit

Counts

500 → 193

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 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 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (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 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(.f64 (cbrt.f64 #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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (hypot.f64 x 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 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (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 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 x x)))
(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 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.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 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #s(literal 1 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 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
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(+.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 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (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 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
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(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
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(exp.f64 (*.f64 (log.f64 (sqrt.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 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #s(literal 1 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 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
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(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
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(.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (hypot.f64 x x) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64))
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(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (hypot.f64 x x))
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(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (cbrt.f64 (hypot.f64 x x)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)))
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(.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) x)
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (hypot.f64 x x))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 x x)))
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(log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))))
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(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
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(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (log.f64 x))))
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(exp.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)) (.f64 #s(literal 3/2 binary64) (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 3/2 binary64)) (.f64 (log.f64 (hypot.f64 x x)) #s(literal 3/2 binary64))))
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(+.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 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (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 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
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(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
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(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
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(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #s(literal 1 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 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
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(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
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(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 x x) #s(literal 9 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 9 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) (log.f64 (hypot.f64 x x))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x x))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x x)) (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x x)) (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #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 #s(literal -1 binary64) (.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(.f64 x (.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(.f64 x (.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(.f64 x (.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 x))
(.f64 x (.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 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 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(neg.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(*.f64 x (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(neg.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(*.f64 x (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(neg.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(*.f64 x (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x))
(neg.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(*.f64 x (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 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))
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(hypot.f64 x x)
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(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 #s(literal 2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 x (.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(hypot.f64 x x)
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 x (sqrt.f64 #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 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(.f64 (.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 x (.f64 (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 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 x (sqrt.f64 #s(literal 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))))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x x)
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(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 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)) #s(literal 1/12 binary64))
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(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (log.f64 x)))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)) (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64))))
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (hypot.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 x x) #s(literal 9 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 9 binary64))))
(cbrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (hypot.f64 x x) #s(literal 10 binary64))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 9 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 9 binary64))))
(cbrt.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (hypot.f64 x x) #s(literal 10 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 12 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) (log.f64 (hypot.f64 x x))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x x))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x x)) (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x x)) (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) (.f64 (log.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))

eval52.0ms (1.6%)

Compiler: Compiled 1976 to 1401 computations (29.1% saved)

prune27.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	191	2	193
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	193	5	198

Accuracy

100.0%

Counts

198 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.9%	(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
✓	100.0%	(hypot.f64 x x)
▶	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	59.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize104.0ms (3.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))
✓	19.9%	(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
✓	99.6%	(*.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))

Results

81.0ms

256×

256

valid

Compiler

Compiled 41 to 34 computations (17.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-pow: 42.0ms (78.2% of total)

ival-mult: 9.0ms (16.8% of total)

const: 3.0ms (5.6% of total)

series61.0ms (1.9%)

Counts

4 → 36

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

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>
#<alt (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))>

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	(pow (* (pow x 8) 16) 1/8)
19.0ms	x	@	0	(* (pow 2 1/4) x)
1.0ms	x	@	0	(* (pow x 8) 16)
0.0ms	x	@	inf	(* (pow x 8) 16)
0.0ms	x	@	0	(* (pow 2 1/4) (* (pow 2 1/4) x))

rewrite96.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log1p-expm1-u`
646×	`expm1-log1p-u`
423×	`log-prod`
417×	`pow1`
290×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	169	64
2	1935	60

Stop Event

1×	node limit

Counts

4 → 114

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 3/8 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3 binary64)) #s(literal 1/24 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(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 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 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 (.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 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 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.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 1/4 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 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1 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)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 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)))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(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 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 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 (.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify125.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1268×	`prod-exp`
657×	`fma-define`
646×	`fma-neg`
477×	`distribute-lft-out`
345×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	240	2888
1	442	2880
2	1044	2880
3	2152	2880
4	4188	2872
5	7227	2872

Stop Event

1×	node limit

Counts

150 → 123

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 3/8 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3 binary64)) #s(literal 1/24 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(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 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 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 (.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 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 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.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 1/4 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 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1 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)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 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)))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/12 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(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 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 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 (.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1/16 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) #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 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(neg.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(neg.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(neg.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(neg.f64 (*.f64 x (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 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 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/8 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 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 3/8 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3/8 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 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 1/16 binary64))
(pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3 binary64)) #s(literal 1/24 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) #s(literal 4096 binary64)) #s(literal 1/24 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 3 binary64)) #s(literal 1/24 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 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 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)))
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(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 16 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 8 binary64)))

eval47.0ms (1.5%)

Compiler: Compiled 1317 to 1143 computations (13.2% saved)

prune18.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	123	5	128

Accuracy

100.0%

Counts

128 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.9%	(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
✓	100.0%	(hypot.f64 x x)
✓	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	59.5%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 78 to 64 computations (17.9% saved)

regimes20.0ms (0.6%)

Accuracy

Total -51.4b remaining (-263088.6%)

Threshold costs -51.4b (-263088.6%)

Counts

7 → 1

Calls

Call 1

Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(.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))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))

Outputs
(hypot.f64 x x)

Calls

4 calls:

10.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
3.0ms	x
3.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
3.0ms	(pow.f64 x #s(literal 2 binary64))

Results

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

soundness126.0ms (3.9%)

Rules

768×	`fma-define`
404×	`associate-+l-`
376×	`associate-+r-`
346×	`distribute-lft-out`
307×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	2988
1	423	2934
2	1145	2838
3	4297	2832

Stop Event

1×	done
1×	node limit

Compiler

Compiled 106 to 77 computations (27.4% saved)

preprocess21.0ms (0.6%)

Remove: (abs x)
Compiler: Compiled 30 to 20 computations (33.3% saved)

sqrt D (should all be same)

analyze0.0ms (0%)

sample1.0s (31%)

preprocess47.0ms (1.4%)

explain128.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize40.0ms (1.2%)

series4.0ms (0.1%)

rewrite252.0ms (7.8%)

simplify86.0ms (2.7%)

eval43.0ms (1.3%)

prune18.0ms (0.5%)

localize148.0ms (4.6%)

series173.0ms (5.4%)

rewrite145.0ms (4.5%)

simplify447.0ms (13.8%)

eval52.0ms (1.6%)

prune27.0ms (0.8%)

localize104.0ms (3.2%)

series61.0ms (1.9%)

rewrite96.0ms (3%)

simplify125.0ms (3.9%)

eval47.0ms (1.5%)

prune18.0ms (0.5%)

regimes20.0ms (0.6%)

simplify2.0ms (0%)

soundness126.0ms (3.9%)

preprocess21.0ms (0.6%)

end0.0ms (0%)

Profiling