Metrics for sqrt D (should all be same)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.1s (40.2%)

Results

1.1s	8254×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess111.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1792×	`fma-def`
1318×	`fma-neg`
1110×	`distribute-lft-neg-in`
808×	`distribute-rgt-neg-in`
638×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	26	34
2	53	34
3	193	34
4	830	34
5	1875	34
6	3861	34
7	5203	34
8	6430	34
9	7545	34

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify196.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

2734×	`sqr-pow`
1306×	`cube-prod`
1044×	`pow-sqr`
884×	`associate-r`
868×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	14	17
2	25	17
3	46	17
4	106	17
5	329	17
6	1230	17
7	2094	17
8	2234	17
9	2402	17
10	2599	17
11	2878	17
12	3246	17
13	3692	17
14	4220	17
15	4862	17
16	5641	17
17	5967	17
18	6241	17
19	6447	17
20	6507	17
21	6537	17
22	7472	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

55.8%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	55.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize66.0ms (2.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 2 (.f64 x x))
✓	55.9%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`pow1`
1244×	`add-exp-log`
1244×	`log1p-expm1-u`
1244×	`expm1-log1p-u`
1214×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	160	24
2	1810	24

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

simplify129.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1200×	`log-prod`
1148×	`fma-def`
1056×	`distribute-rgt-in`
1030×	`distribute-lft-in`
700×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	816
1	193	816
2	739	816
3	2412	688
4	7441	688

Stop Event

1×	node limit

Counts

60 → 48

Calls

Call 1

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

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

eval9.0ms (0.3%)

Compiler: Compiled 375 to 272 computations (27.5% saved)

prune78.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Accurracy

100.0%

Counts

49 → 5

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)
▶	99.4%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 2) x)
✓	55.8%	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	97.9%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
▶	100.0%	(hypot.f64 x x)
▶	99.4%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 2) x)
✓	55.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 64 to 48 computations (25% saved)

localize79.0ms (2.9%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	99.3%	(*.f64 x (sqrt.f64 2))
✓	99.2%	(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)
✓	99.4%	(.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)

series7.0ms (0.3%)

Counts

6 → 36

Calls

18 calls:

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

rewrite116.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`log-prod`
1024×	`prod-exp`
814×	`pow-prod-down`
572×	`pow-prod-up`
556×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	327	46
2	3323	46

Stop Event

1×	node limit

Counts

6 → 397

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

simplify136.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1098×	`fma-def`
788×	`distribute-lft-in`
726×	`log-prod`
706×	`exp-sum`
698×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	293	4463
1	616	4315
2	1572	4315
3	5464	4315

Stop Event

1×	node limit

Counts

433 → 150

Calls

Call 1

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

eval28.0ms (1%)

Compiler: Compiled 1494 to 750 computations (49.8% saved)

prune27.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	150	5	155

Accurracy

100.0%

Counts

155 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	99.4%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	55.8%	(sqrt.f64 (.f64 2 (.f64 x x)))
✓	100.0%	(hypot.f64 x x)
▶	99.4%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	55.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 68 to 52 computations (23.5% saved)

localize39.0ms (1.4%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 22 to 19 computations (13.6% saved)

series38.0ms (1.4%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	(*.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)
0.0ms	x	@	-inf	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))

rewrite54.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`pow1`
1306×	`add-exp-log`
1306×	`log1p-expm1-u`
1306×	`expm1-log1p-u`
1278×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	168	24
2	1858	24

Stop Event

1×	node limit

Counts

2 → 22

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

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1798×	`log-prod`
1198×	`associate-r`
1056×	`associate-l`
1016×	`fma-def`
560×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	530
1	146	470
2	555	410
3	3639	408
4	7829	408

Stop Event

1×	node limit

Counts

34 → 29

Calls

Call 1

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

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

eval7.0ms (0.3%)

Compiler: Compiled 266 to 232 computations (12.8% saved)

prune12.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	29	5	34

Accurracy

100.0%

Counts

34 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.4%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	99.4%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	55.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 77 to 59 computations (23.4% saved)

regimes18.0ms (0.7%)

Accuracy

Total -28.9b remaining (-148224%)

Threshold costs -28.9b (-148224%)

Counts

7 → 1

Calls

Call 1

Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (.f64 2 (.f64 x 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:

5.0ms	x
4.0ms	(*.f64 2 (pow.f64 x 2))
4.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
4.0ms	(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 62 to 48 computations (22.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7

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)

soundness329.0ms (12.1%)

Rules

2734×	`sqr-pow`
1306×	`cube-prod`
1200×	`log-prod`
1148×	`fma-def`
1056×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	14	17
2	25	17
3	46	17
4	106	17
5	329	17
6	1230	17
7	2094	17
8	2234	17
9	2402	17
10	2599	17
11	2878	17
12	3246	17
13	3692	17
14	4220	17
15	4862	17
16	5641	17
17	5967	17
18	6241	17
19	6447	17
20	6507	17
21	6537	17
22	7472	17
0	83	816
1	193	816
2	739	816
3	2412	688
4	7441	688

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 93 to 65 computations (30.1% saved)

end0.0ms (0%)

preprocess19.0ms (0.7%)

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

analyze0.0ms (0%)

sample1.1s (40.2%)

preprocess111.0ms (4.1%)

simplify196.0ms (7.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize66.0ms (2.4%)

series2.0ms (0.1%)

rewrite64.0ms (2.4%)

simplify129.0ms (4.7%)

eval9.0ms (0.3%)

prune78.0ms (2.9%)

localize79.0ms (2.9%)

series7.0ms (0.3%)

rewrite116.0ms (4.3%)

simplify136.0ms (5%)

eval28.0ms (1%)

prune27.0ms (1%)

localize39.0ms (1.4%)

series38.0ms (1.4%)

rewrite54.0ms (2%)

simplify59.0ms (2.2%)

eval7.0ms (0.3%)

prune12.0ms (0.5%)

regimes18.0ms (0.7%)

simplify4.0ms (0.1%)

soundness329.0ms (12.1%)

end0.0ms (0%)

preprocess19.0ms (0.7%)

Profiling