Metrics for sqrt D (should all be same)

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions

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

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

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

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

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

sample1.9s (32.2%)

Results

1.9s	8251×	256	valid
1.0ms	5×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 718.0ms

Operation ival-pow, time spent: 449.0ms, 63.0% of total-time

Operation ival-sqrt, time spent: 128.0ms, 18.0% of total-time

Operation ival-mult, time spent: 121.0ms, 17.0% of total-time

Operation const, time spent: 20.0ms, 3.0% of total-time

Bogosity

preprocess337.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1796×	`fma-def`
1318×	`fma-neg`
1108×	`distribute-lft-neg-in`
798×	`distribute-rgt-neg-in`
640×	`neg-mul-1`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
121	-	2	(1.655934749641944e-156)	`(sqrt.f64 (*.f64 2 (pow.f64 x 2)))`
0	-	0	-	`(*.f64 2 (pow.f64 x 2))`
0	-	0	-	`x`
0	-	0	-	`(pow.f64 x 2)`
0	-	0	-	`2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	31	84
2	63	84
3	204	84
4	841	84
5	1895	84
6	3887	84
7	5230	84
8	6457	84
9	7572	84

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(sqrt.f64 (*.f64 2 (pow.f64 (neg.f64 x) 2)))
(neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 (neg.f64 x) 2))))

Outputs
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(sqrt.f64 (*.f64 2 (pow.f64 (neg.f64 x) 2)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 (neg.f64 x) 2))))
(neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 2))))

Symmetry

(abs x)

Compiler

Compiled 43 to 34 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

Operation ival-pow, time spent: 15.0ms, 46.0% of total-time

Operation ival-mult, time spent: 8.0ms, 24.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 21.0% of total-time

Operation const, time spent: 3.0ms, 9.0% of total-time

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
▶	56.4%	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize86.0ms (1.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 2 (pow.f64 x 2))
✓	56.4%	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-pow, time spent: 9.0ms, 49.0% of total-time

Operation ival-mult, time spent: 4.0ms, 22.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 22.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
1.0ms	x	@	inf	(*.f64 2 (pow.f64 x 2))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
0.0ms	x	@	0	(*.f64 2 (pow.f64 x 2))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite278.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`unpow-prod-down`
384×	`log-prod`
364×	`cbrt-prod`
306×	`prod-exp`
301×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	90	30
2	950	30

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))

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

simplify270.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-neg`
732×	`distribute-lft-in`
664×	`log-prod`
624×	`unswap-sqr`
614×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	2940
1	556	2855
2	1748	2739
3	5861	2739

Stop Event

1×	node limit

Counts

109 → 137

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(+.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) -1)
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)
(*.f64 x (sqrt.f64 2))
(*.f64 x (fabs.f64 (sqrt.f64 2)))
(.f64 (.f64 x (sqrt.f64 2)) 1)
(.f64 1 (.f64 x (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 2 (*.f64 x (sqrt.f64 2))) 1/3))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 2 (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2)))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (cbrt.f64 2) (pow.f64 (.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 2))) 1/3))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (pow.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4)) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 2 1/4) (pow.f64 (.f64 x (*.f64 x (sqrt.f64 2))) 1/2))
(.f64 (pow.f64 2 1/4) (sqrt.f64 (.f64 x (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2) 1/2))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2)))
(.f64 (pow.f64 1 1/3) (.f64 x (sqrt.f64 2)))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3/2) 1/2) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4)) 1/2) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6) 1/2) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (pow.f64 (.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1/2) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2)) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/2) 1/3) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (cbrt.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/2)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3/2)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4))) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (sqrt.f64 x))
(*.f64 (fabs.f64 (sqrt.f64 2)) x)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (sqrt.f64 2))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (sqrt.f64 2))) (+.f64 1 (.f64 x (sqrt.f64 2)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (sqrt.f64 2))) 1))))
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/4)
(pow.f64 (*.f64 (pow.f64 x 6) 8) 1/6)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 2))))
(pow.f64 (exp.f64 1/2) (fma.f64 2 (log.f64 x) (log.f64 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 2))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 2)))))
(fabs.f64 (*.f64 x (sqrt.f64 2)))
(fabs.f64 (neg.f64 (*.f64 x (sqrt.f64 2))))
(fabs.f64 (-.f64 1 (+.f64 1 (*.f64 x (sqrt.f64 2)))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
(+.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) -1)
(+.f64 0 (*.f64 2 (pow.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) (+.f64 1 (.f64 2 (pow.f64 x 2)))) (+.f64 1 (.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) 1))))
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 6)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 2/3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) 8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 4)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 x) (log.f64 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(fabs.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x 2)))
(cbrt.f64 (*.f64 (pow.f64 x 6) 8))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x 2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 4)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 8)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x 2))))

Outputs
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(.f64 -1 (.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(neg.f64 (hypot.f64 x x))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(neg.f64 (hypot.f64 x x))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(neg.f64 (hypot.f64 x x))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(neg.f64 (hypot.f64 x x))
(+.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) -1)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 x (fabs.f64 (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(.f64 (.f64 x (sqrt.f64 2)) 1)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(.f64 1 (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 2 (*.f64 x (sqrt.f64 2))) 1/3))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 2 (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 x (*.f64 2 (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 2 (hypot.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 2 (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 x (*.f64 2 (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 2 (hypot.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (cbrt.f64 2) (pow.f64 (.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 2))) 1/3))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (*.f64 x (sqrt.f64 2)) (pow.f64 x 2))))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 x 3))))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 2)))))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (*.f64 x (sqrt.f64 2)) (pow.f64 x 2))))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 x 3))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (pow.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4)) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4)))
(.f64 (pow.f64 2 1/4) (pow.f64 (.f64 x (*.f64 x (sqrt.f64 2))) 1/2))
(.f64 (pow.f64 2 1/4) (sqrt.f64 (.f64 (pow.f64 x 2) (sqrt.f64 2))))
(.f64 (pow.f64 2 1/4) (sqrt.f64 (.f64 (sqrt.f64 2) (pow.f64 x 2))))
(.f64 (pow.f64 2 1/4) (sqrt.f64 (.f64 x (*.f64 x (sqrt.f64 2)))))
(.f64 (pow.f64 2 1/4) (sqrt.f64 (.f64 (pow.f64 x 2) (sqrt.f64 2))))
(.f64 (pow.f64 2 1/4) (sqrt.f64 (.f64 (sqrt.f64 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2) 1/2))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(.f64 (pow.f64 1 1/3) (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3/2) 1/2) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (pow.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4)) 1/2) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4))))
(.f64 (pow.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6) 1/2) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/12) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (pow.f64 (.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1/2) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4)))
(.f64 (pow.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2)) 1/3) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 2 (*.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 2)))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 2 (sqrt.f64 2)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/2) 1/3) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/6) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 5/2)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)))
(.f64 (cbrt.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 2 (*.f64 (pow.f64 x 2) (sqrt.f64 2)))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 2)))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 2 (sqrt.f64 2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/2)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/6) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 5/2)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)))
(.f64 (sqrt.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/12) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3/2)) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4))))
(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(*.f64 (fabs.f64 (sqrt.f64 2)) x)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (sqrt.f64 2))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (sqrt.f64 2))) (+.f64 1 (.f64 x (sqrt.f64 2)))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (sqrt.f64 2))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x (sqrt.f64 2)) 1) 3) -1) (fma.f64 (+.f64 (.f64 x (sqrt.f64 2)) 1) (+.f64 (.f64 x (sqrt.f64 2)) 1) (+.f64 1 (+.f64 (.f64 x (sqrt.f64 2)) 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (sqrt.f64 2) 1) 3)) (fma.f64 (fma.f64 x (sqrt.f64 2) 1) (fma.f64 x (sqrt.f64 2) 1) (+.f64 2 (*.f64 x (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (sqrt.f64 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (sqrt.f64 2) 1) (+.f64 2 (hypot.f64 x x)))))
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/4)
(pow.f64 (*.f64 4 (pow.f64 x 4)) 1/4)
(pow.f64 (*.f64 (pow.f64 x 6) 8) 1/6)
(pow.f64 (*.f64 8 (pow.f64 x 6)) 1/6)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(pow.f64 (exp.f64 1/2) (fma.f64 2 (log.f64 x) (log.f64 2)))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 2))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(fabs.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(fabs.f64 (neg.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(fabs.f64 (-.f64 1 (+.f64 1 (*.f64 x (sqrt.f64 2)))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 2)))) 1/3))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 2))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(hypot.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) -1)
(*.f64 2 (pow.f64 x 2))
(+.f64 0 (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x 2)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 1)
(*.f64 2 (pow.f64 x 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) (+.f64 1 (.f64 2 (pow.f64 x 2)))) (+.f64 1 (.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) 3) -1) (fma.f64 (+.f64 1 (.f64 2 (pow.f64 x 2))) (+.f64 1 (.f64 2 (pow.f64 x 2))) (+.f64 1 (+.f64 1 (.f64 2 (pow.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x 2) 1) 3)) (fma.f64 (fma.f64 2 (pow.f64 x 2) 1) (fma.f64 2 (pow.f64 x 2) 1) (+.f64 2 (*.f64 2 (pow.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x 2) 1) 3)) (+.f64 1 (.f64 (fma.f64 2 (pow.f64 x 2) 1) (+.f64 2 (.f64 2 (pow.f64 x 2))))))
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(*.f64 2 (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 6)
(*.f64 2 (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3)
(*.f64 2 (pow.f64 x 2))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 2/3)
(*.f64 2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(*.f64 2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 6) 8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 8))
(cbrt.f64 (*.f64 8 (pow.f64 x 6)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 4)
(*.f64 2 (pow.f64 x 2))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 x) (log.f64 2)))
(*.f64 2 (pow.f64 x 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(*.f64 2 (pow.f64 x 2))
(fabs.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 x 6) 8))
(cbrt.f64 (*.f64 8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 2)))
(*.f64 2 (pow.f64 x 2))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 2))
(*.f64 2 (pow.f64 x 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) 3))
(*.f64 2 (pow.f64 x 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 4)) 1/2))
(*.f64 2 (pow.f64 x 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 8)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 6) 8))
(cbrt.f64 (*.f64 8 (pow.f64 x 6)))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x 2))))
(*.f64 2 (pow.f64 x 2))

eval951.0ms (16.1%)

Compiler: Compiled 1581 to 1290 computations (18.4% saved)

prune17.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	4	138

Accuracy

100.0%

Counts

138 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
▶	100.0%	(hypot.f64 x x)
▶	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 25 to 19 computations (24% saved)

localize1.1s (19.4%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	99.3%	(*.f64 x (sqrt.f64 2))
✓	99.1%	(cbrt.f64 (*.f64 x (sqrt.f64 2)))
✓	98.9%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
✓	100.0%	(hypot.f64 x x)
✓	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 53 to 37 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

Operation ival-sqrt, time spent: 38.0ms, 57.0% of total-time

Operation ival-mult, time spent: 16.0ms, 24.0% of total-time

Operation ival-cbrt, time spent: 4.0ms, 6.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

Operation ival-pow, time spent: 3.0ms, 5.0% of total-time

Operation ival-hypot, time spent: 3.0ms, 5.0% of total-time

series10.0ms (0.2%)

Counts

6 → 36

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(hypot.f64 x x)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
1.0ms	x	@	inf	(hypot.f64 x x)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))

rewrite126.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`prod-exp`
762×	`log-prod`
686×	`pow-prod-down`
585×	`log1p-expm1-u`
585×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	88
1	229	82
2	2284	82

Stop Event

1×	node limit

Counts

6 → 394

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(cbrt.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))

Outputs
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (sqrt.f64 (*.f64 2 x))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 2 x) 1/6) (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(.f64 (pow.f64 (.f64 2 x) 1/4) (.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 x)))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 x))))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 2 x))) (pow.f64 (.f64 2 x) 1/6))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 2 x) 1/4)) (pow.f64 (.f64 2 x) 1/4))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (sqrt.f64 (*.f64 2 x))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 2 x) 1/6) (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(.f64 (pow.f64 (.f64 2 x) 1/4) (.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 x)))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 x))))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 2 x))) (pow.f64 (.f64 2 x) 1/6))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 2 x) 1/4)) (pow.f64 (.f64 2 x) 1/4))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 0 (cbrt.f64 (hypot.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x)))) 1)
(*.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 1)))
(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 x) (pow.f64 2 1/6))
(*.f64 (pow.f64 2 1/6) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 2 x) 1/6) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (pow.f64 (.f64 2 x) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (hypot.f64 x x) 1/3)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/6)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2)))) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/9)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))

simplify153.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-def`
720×	`distribute-lft-out`
622×	`sqr-pow`
606×	`log-prod`
578×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	294	7533
1	617	7349
2	1515	7349
3	4626	7349

Stop Event

1×	node limit

Counts

430 → 151

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (sqrt.f64 (*.f64 2 x))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 2 x) 1/6) (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(.f64 (pow.f64 (.f64 2 x) 1/4) (.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 x)))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 x))))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 2 x))) (pow.f64 (.f64 2 x) 1/6))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 2 x) 1/4)) (pow.f64 (.f64 2 x) 1/4))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (sqrt.f64 (*.f64 2 x))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 2 x) 1/6) (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(.f64 (pow.f64 (.f64 2 x) 1/4) (.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 x)))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 x))))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 2 x))) (pow.f64 (.f64 2 x) 1/6))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 2 x) 1/4)) (pow.f64 (.f64 2 x) 1/4))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 0 (cbrt.f64 (hypot.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x)))) 1)
(*.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 1)))
(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 x) (pow.f64 2 1/6))
(*.f64 (pow.f64 2 1/6) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 2 x) 1/6) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (pow.f64 (.f64 2 x) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (hypot.f64 x x) 1/3)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/6)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2)))) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/9)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (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))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))

Outputs
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(neg.f64 (.f64 x (.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (neg.f64 x))
(.f64 x (.f64 (sqrt.f64 -2) (neg.f64 (sqrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(neg.f64 (.f64 x (.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (neg.f64 x))
(.f64 x (.f64 (sqrt.f64 -2) (neg.f64 (sqrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(neg.f64 (.f64 x (.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (neg.f64 x))
(.f64 x (.f64 (sqrt.f64 -2) (neg.f64 (sqrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(neg.f64 (.f64 x (.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (neg.f64 x))
(.f64 x (.f64 (sqrt.f64 -2) (neg.f64 (sqrt.f64 -1))))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 0 (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(*.f64 x (sqrt.f64 2))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(hypot.f64 x x)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 x (sqrt.f64 2))
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(*.f64 x (sqrt.f64 2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(+.f64 0 (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(*.f64 x (sqrt.f64 2))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(hypot.f64 x x)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 x (sqrt.f64 2))
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(*.f64 x (sqrt.f64 2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(+.f64 0 (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(hypot.f64 x x)
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(*.f64 1 (hypot.f64 x x))
(hypot.f64 x x)
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 2 1/6)) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (*.f64 (cbrt.f64 x) (pow.f64 2 1/6)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (sqrt.f64 (*.f64 2 x))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 x 1/6)) (sqrt.f64 (*.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x 2)) (*.f64 (cbrt.f64 x) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 2) (.f64 x (pow.f64 2 1/6)))
(.f64 x (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(.f64 (pow.f64 2 1/6) (.f64 x (cbrt.f64 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 2 x) 1/6) (sqrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x 2)) (.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (sqrt.f64 x) (.f64 (cbrt.f64 (.f64 x 2)) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 x (sqrt.f64 2))
(.f64 (pow.f64 (.f64 2 x) 1/4) (.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 x)))
(*.f64 x (sqrt.f64 2))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 x))))
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (cbrt.f64 2) (.f64 x (pow.f64 2 1/6)))
(.f64 x (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(.f64 (pow.f64 2 1/6) (.f64 x (cbrt.f64 2)))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 2 1/6)) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (*.f64 (cbrt.f64 x) (pow.f64 2 1/6)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 x 1/6)) (sqrt.f64 (*.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x 2)) (*.f64 (cbrt.f64 x) (pow.f64 x 1/6)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 2 x))) (pow.f64 (.f64 2 x) 1/6))
(.f64 (cbrt.f64 (.f64 x 2)) (.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (sqrt.f64 x) (.f64 (cbrt.f64 (.f64 x 2)) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 2 x) 1/4)) (pow.f64 (.f64 2 x) 1/4))
(*.f64 x (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(*.f64 x (sqrt.f64 2))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(hypot.f64 x x)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 x (sqrt.f64 2))
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(*.f64 x (sqrt.f64 2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(+.f64 0 (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(*.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(hypot.f64 x x)
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(*.f64 1 (hypot.f64 x x))
(hypot.f64 x x)
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 2 1/6)) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (*.f64 (cbrt.f64 x) (pow.f64 2 1/6)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (sqrt.f64 (*.f64 2 x))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 x 1/6)) (sqrt.f64 (*.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x 2)) (*.f64 (cbrt.f64 x) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 2) (.f64 x (pow.f64 2 1/6)))
(.f64 x (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(.f64 (pow.f64 2 1/6) (.f64 x (cbrt.f64 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 2 x) 1/6) (sqrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x 2)) (.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (sqrt.f64 x) (.f64 (cbrt.f64 (.f64 x 2)) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 x (sqrt.f64 2))
(.f64 (pow.f64 (.f64 2 x) 1/4) (.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 x)))
(*.f64 x (sqrt.f64 2))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 x))))
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (cbrt.f64 2) (.f64 x (pow.f64 2 1/6)))
(.f64 x (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(.f64 (pow.f64 2 1/6) (.f64 x (cbrt.f64 2)))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 2 1/6)) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (*.f64 (cbrt.f64 x) (pow.f64 2 1/6)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 x 1/6)) (sqrt.f64 (*.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x 2)) (*.f64 (cbrt.f64 x) (pow.f64 x 1/6)))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 2 x))) (pow.f64 (.f64 2 x) 1/6))
(.f64 (cbrt.f64 (.f64 x 2)) (.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (sqrt.f64 x) (.f64 (cbrt.f64 (.f64 x 2)) (pow.f64 (.f64 x 2) 1/6)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 2 x) 1/4)) (pow.f64 (.f64 2 x) 1/4))
(*.f64 x (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 x (sqrt.f64 2))
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(*.f64 x (sqrt.f64 2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(+.f64 0 (cbrt.f64 (hypot.f64 x x)))
(cbrt.f64 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))
(cbrt.f64 (hypot.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x)))) 1)
(cbrt.f64 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(cbrt.f64 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 1)))
(cbrt.f64 (hypot.f64 x x))
(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (cbrt.f64 x) (pow.f64 2 1/6))
(*.f64 (pow.f64 2 1/6) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 2 1/6))
(.f64 (pow.f64 (.f64 2 x) 1/6) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (pow.f64 (.f64 x 2) 1/6))
(.f64 (pow.f64 x 1/6) (pow.f64 (.f64 2 x) 1/6))
(.f64 (pow.f64 x 1/6) (pow.f64 (.f64 x 2) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (hypot.f64 x x) 1/3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/6)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2)))) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/9)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(cbrt.f64 (hypot.f64 x x))
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/3))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/3))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 1))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 1))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) 3))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (hypot.f64 x x))) 2))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) 3/2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2)))) 3/2)
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(+.f64 0 (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(*.f64 x (sqrt.f64 2))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(hypot.f64 x x)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 x (sqrt.f64 2))
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(*.f64 x (sqrt.f64 2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) (.f64 2/3 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/3)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)

eval34.0ms (0.6%)

Compiler: Compiled 1527 to 960 computations (37.1% saved)

prune20.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Accuracy

100.0%

Counts

155 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize64.0ms (1.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (pow.f64 2 1/4) x)
✓	99.5%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))

Compiler

Compiled 22 to 19 computations (13.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-pow, time spent: 17.0ms, 65.0% of total-time

Operation ival-mult, time spent: 7.0ms, 27.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

series144.0ms (2.4%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
143.0ms	x	@	0	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	0	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
0.0ms	x	@	-inf	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	inf	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
0.0ms	x	@	inf	(*.f64 (pow.f64 2 1/4) x)

rewrite71.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`unpow-prod-down`
476×	`log-prod`
460×	`cbrt-prod`
424×	`prod-exp`
378×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	94	32
2	1062	30

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 2 1/4) x)

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

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1340×	`log-prod`
894×	`associate-r`
800×	`associate-l`
794×	`associate-+l+`
772×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1118
1	294	1054
2	803	1054
3	4077	1050

Stop Event

1×	node limit

Counts

54 → 52

Calls

Call 1

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

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

eval17.0ms (0.3%)

Compiler: Compiled 608 to 541 computations (11% saved)

prune25.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	52	4	56

Accuracy

100.0%

Counts

56 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 64 to 50 computations (21.9% saved)

regimes19.0ms (0.3%)

Accuracy

Total -28.6b remaining (-243648.3%)

Threshold costs -28.6b (-243648.3%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(hypot.f64 x x)

Calls

4 calls:

6.0ms	(*.f64 2 (pow.f64 x 2))
5.0ms	x
4.0ms	(pow.f64 x 2)
4.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Results

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

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×	done
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

Compiler

Compiled 4 to 2 computations (50% saved)

soundness154.0ms (2.6%)

Rules

906×	`fma-neg`
732×	`distribute-lft-in`
664×	`log-prod`
624×	`unswap-sqr`
614×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	2940
1	556	2855
2	1748	2739
3	5861	2739

Stop Event

1×	node limit

Compiler

Compiled 102 to 75 computations (26.5% saved)

end0.0ms (0%)

preprocess21.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 38 to 24 computations (36.8% saved)

analyze1.0ms (0%)

sample1.9s (32.2%)

preprocess337.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize86.0ms (1.5%)

series3.0ms (0%)

rewrite278.0ms (4.7%)

simplify270.0ms (4.6%)

eval951.0ms (16.1%)

prune17.0ms (0.3%)

localize1.1s (19.4%)

series10.0ms (0.2%)

rewrite126.0ms (2.1%)

simplify153.0ms (2.6%)

eval34.0ms (0.6%)

prune20.0ms (0.3%)

localize64.0ms (1.1%)

series144.0ms (2.4%)

rewrite71.0ms (1.2%)

simplify59.0ms (1%)

eval17.0ms (0.3%)

prune25.0ms (0.4%)

regimes19.0ms (0.3%)

simplify2.0ms (0%)

soundness154.0ms (2.6%)

end0.0ms (0%)

preprocess21.0ms (0.4%)

Profiling