Metrics for sqrt E (should all be same)

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample831.0ms (34.4%)

Results

821.0ms	8252×	body	256	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess158.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1068×	`fma-neg`
982×	`distribute-lft-out`
896×	`fma-def`
886×	`hypot-def`
744×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	26	14
2	68	14
3	235	14
4	1047	14
5	2829	14
6	5830	14
7	7894	14

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (pow.f64 (neg.f64 x) 2) (pow.f64 (neg.f64 x) 2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(hypot.f64 x x)

Symmetry

(abs x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify151.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

2556×	`fma-def`
1482×	`distribute-lft-out`
1118×	`hypot-def`
988×	`count-2`
868×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	14	7
2	33	7
3	56	7
4	121	7
5	380	7
6	1381	7
7	2589	7
8	3932	7
9	4860	7
10	5626	7
11	6637	7
12	7494	7

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(hypot.f64 x x)

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	54.5%	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	100.0%	(hypot.f64 x x)
▶	54.5%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize28.0ms (1.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	54.5%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`pow1`
1280×	`add-exp-log`
1280×	`log1p-expm1-u`
1280×	`expm1-log1p-u`
1250×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	181	14
2	2098	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

simplify74.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1006×	`log-prod`
694×	`fma-neg`
664×	`exp-prod`
580×	`fma-def`
564×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	1384
1	117	1198
2	375	1012
3	1851	1012
4	4052	1012
5	5845	1012

Stop Event

1×	node limit

Counts

74 → 36

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

eval6.0ms (0.2%)

Compiler: Compiled 263 to 150 computations (43% saved)

prune7.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	34	4	38

Accurracy

100.0%

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
✓	100.0%	(hypot.f64 x x)
▶	99.4%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	99.4%	(*.f64 (sqrt.f64 2) x)
▶	97.7%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
✓	100.0%	(hypot.f64 x x)
▶	99.4%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	99.4%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize92.0ms (3.8%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.0%	(cbrt.f64 (hypot.f64 x x))
✓	98.8%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
✓	99.4%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 43 to 24 computations (44.2% saved)

series4.0ms (0.2%)

Counts

5 → 24

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) x)

rewrite121.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`log-prod`
1008×	`prod-exp`
800×	`pow-prod-down`
572×	`pow-prod-up`
554×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	306	39
2	3271	39

Stop Event

1×	node limit

Counts

5 → 332

Calls

Call 1

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

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

simplify102.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1084×	`fma-def`
804×	`log-prod`
726×	`exp-sum`
706×	`distribute-lft-in`
676×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	3862
1	610	3738
2	1500	3706
3	5165	3706

Stop Event

1×	node limit

Counts

356 → 152

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 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 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 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 (log.f64 (pow.f64 (hypot.f64 x x) 3)) 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 (log1p.f64 1) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log1p.f64 1) 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 (log1p.f64 1) 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 (log1p.f64 1) 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)))
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(-.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 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 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 (log.f64 (pow.f64 (hypot.f64 x x) 3)) 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 (log1p.f64 1) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log1p.f64 1) 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 (log1p.f64 1) 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 (log1p.f64 1) 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 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.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 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (cbrt.f64 (+.f64 x x)) (.f64 (pow.f64 (+.f64 x x) 1/6) (sqrt.f64 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)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (pow.f64 (+.f64 x x) 1/4) (.f64 (pow.f64 (+.f64 x x) 1/4) (sqrt.f64 x)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.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 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1) (cbrt.f64 (hypot.f64 x x)))
(.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))
(.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))
(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 (log.f64 (pow.f64 (hypot.f64 x x) 3)) 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 (log1p.f64 1) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log1p.f64 1) 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 (log1p.f64 1) 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 (log1p.f64 1) 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))))))
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(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (+.f64 x x) 1/6) (pow.f64 x 1/6))
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(*.f64 (pow.f64 2 1/6) (cbrt.f64 x))
(*.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 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 (sqrt.f64 (hypot.f64 x x)) 2/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(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 2 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))) 3/2))
(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 2 (log.f64 (hypot.f64 x x))) 1/6))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) 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)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.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 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (cbrt.f64 (+.f64 x x)) (.f64 (pow.f64 (+.f64 x x) 1/6) (sqrt.f64 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)))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (pow.f64 (+.f64 x x) 1/4) (.f64 (pow.f64 (+.f64 x x) 1/4) (sqrt.f64 x)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.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 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1) (cbrt.f64 (hypot.f64 x x)))
(.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))
(.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))
(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 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 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)))
(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 (log.f64 (pow.f64 (hypot.f64 x x) 3)) 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 (log1p.f64 1) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log1p.f64 1) 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 (log1p.f64 1) 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 (log1p.f64 1) 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 -2) (neg.f64 (.f64 x (sqrt.f64 -1))))
(.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 -2) (neg.f64 (.f64 x (sqrt.f64 -1))))
(.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 -2) (neg.f64 (.f64 x (sqrt.f64 -1))))
(.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 -2) (neg.f64 (.f64 x (sqrt.f64 -1))))
(.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 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 0 (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (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 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(hypot.f64 x x)
(sqrt.f64 (.f64 2 (.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 (log.f64 (pow.f64 (hypot.f64 x x) 3)) 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 (log1p.f64 1) 1/2) (log.f64 x)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(exp.f64 (+.f64 (.f64 (log1p.f64 1) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (log1p.f64 1) 1/2)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (log1p.f64 1) 1/2)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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)
(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 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(hypot.f64 x x)
(sqrt.f64 (.f64 2 (.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 (log.f64 (pow.f64 (hypot.f64 x x) 3)) 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 (log1p.f64 1) 1/2) (log.f64 x)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(exp.f64 (+.f64 (.f64 (log1p.f64 1) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (log1p.f64 1) 1/2)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (log1p.f64 1) 1/2)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (hypot.f64 x x) 1)
(hypot.f64 x 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 (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 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) 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 (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 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 2) (.f64 x (pow.f64 2 1/6)))
(.f64 x (.f64 (cbrt.f64 2) (pow.f64 2 1/6)))
(.f64 (pow.f64 2 1/6) (.f64 x (cbrt.f64 2)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(.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 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.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 (.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 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1) (cbrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(.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))
(.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 (cbrt.f64 2) (pow.f64 2 1/6)))
(.f64 (pow.f64 2 1/6) (.f64 x (cbrt.f64 2)))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 2) 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 (log.f64 (pow.f64 (hypot.f64 x x) 3)) 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 (log1p.f64 1) 1/2) (log.f64 x)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(exp.f64 (+.f64 (.f64 (log1p.f64 1) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (log1p.f64 1) 1/2)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (log1p.f64 1) 1/2)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (pow.f64 2 1/6) (cbrt.f64 x))
(*.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 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)
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/18) (pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/18))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(cbrt.f64 (hypot.f64 x x))
(sqrt.f64 (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 2 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))) 3/2))
(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 2 (log.f64 (hypot.f64 x x))) 1/6))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) 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)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (hypot.f64 x x) 1)
(hypot.f64 x 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 (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 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) 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 (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 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 2) (.f64 x (pow.f64 2 1/6)))
(.f64 x (.f64 (cbrt.f64 2) (pow.f64 2 1/6)))
(.f64 (pow.f64 2 1/6) (.f64 x (cbrt.f64 2)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(.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 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.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 (.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 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1) (cbrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(.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))
(.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 (cbrt.f64 2) (pow.f64 2 1/6)))
(.f64 (pow.f64 2 1/6) (.f64 x (cbrt.f64 2)))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 2) 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 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(hypot.f64 x x)
(sqrt.f64 (.f64 2 (.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 (log.f64 (pow.f64 (hypot.f64 x x) 3)) 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 (log1p.f64 1) 1/2) (log.f64 x)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(exp.f64 (+.f64 (.f64 (log1p.f64 1) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (log1p.f64 1) 1/2)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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 (log1p.f64 1) 1/2)))
(exp.f64 (fma.f64 (log1p.f64 1) 1/2 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1/2) (log1p.f64 1)))
(*.f64 x (sqrt.f64 (exp.f64 (log1p.f64 1))))
(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)

eval33.0ms (1.3%)

Compiler: Compiled 1504 to 778 computations (48.3% saved)

prune18.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	152	4	156

Accurracy

100.0%

Counts

156 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 54 to 42 computations (22.2% saved)

localize117.0ms (4.8%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 22 to 19 computations (13.6% saved)

series211.0ms (8.7%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
210.0ms	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) 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) (.f64 (pow.f64 2 1/4) x))

rewrite59.0ms (2.4%)

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

Outputs
(-.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)))
(-.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))))

simplify66.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1798×	`log-prod`
1208×	`associate-r`
1062×	`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	3669	408
4	7859	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 (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)))
(-.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))))

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 (pow.f64 2 1/4) x)) 1)
(+.f64 (+.f64 1 (*.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 (+.f64 1 (*.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 (+.f64 1 (*.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 (+.f64 1 (*.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 (+.f64 1 (*.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 (+.f64 1 (*.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 (+.f64 1 (*.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 (+.f64 1 (*.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 (+.f64 1 (*.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 (+.f64 1 (*.f64 x (pow.f64 2 1/4))) -1)
(+.f64 (*.f64 x (pow.f64 2 1/4)) 0)
(*.f64 x (pow.f64 2 1/4))
(-.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)

eval7.0ms (0.3%)

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

prune6.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	29	4	33

Accurracy

100.0%

Counts

33 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 71 to 52 computations (26.8% saved)

regimes17.0ms (0.7%)

Accuracy

Total -29.8b remaining (-190800.9%)

Threshold costs -29.8b (-190800.9%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(hypot.f64 x x)

Calls

4 calls:

5.0ms	x
3.0ms	(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
3.0ms	(+.f64 (pow.f64 x 2) (pow.f64 x 2))
3.0ms	(pow.f64 x 2)

Results

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

Compiler

Compiled 67 to 48 computations (28.4% saved)

simplify3.0ms (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)

soundness220.0ms (9.1%)

Rules

2556×	`fma-def`
1482×	`distribute-lft-out`
1118×	`hypot-def`
988×	`count-2`
868×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	14	7
2	33	7
3	56	7
4	121	7
5	380	7
6	1381	7
7	2589	7
8	3932	7
9	4860	7
10	5626	7
11	6637	7
12	7494	7

Stop Event

1×	node limit

Compiler

Compiled 28 to 15 computations (46.4% saved)

end0.0ms (0%)

preprocess20.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 34 to 22 computations (35.3% saved)

analyze1.0ms (0%)

sample831.0ms (34.4%)

preprocess158.0ms (6.5%)

simplify151.0ms (6.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize28.0ms (1.2%)

series3.0ms (0.1%)

rewrite62.0ms (2.5%)

simplify74.0ms (3.1%)

eval6.0ms (0.2%)

prune7.0ms (0.3%)

localize92.0ms (3.8%)

series4.0ms (0.2%)

rewrite121.0ms (5%)

simplify102.0ms (4.2%)

eval33.0ms (1.3%)

prune18.0ms (0.8%)

localize117.0ms (4.8%)

series211.0ms (8.7%)

rewrite59.0ms (2.4%)

simplify66.0ms (2.7%)

eval7.0ms (0.3%)

prune6.0ms (0.3%)

regimes17.0ms (0.7%)

simplify3.0ms (0.1%)

soundness220.0ms (9.1%)

end0.0ms (0%)

preprocess20.0ms (0.8%)

Profiling