Metrics for sqrt C (should all be same)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (39.1%)

Results

1.1s	8255×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess74.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

136×	`fma-def`
32×	`associate-r`
26×	`distribute-lft-neg-in`
26×	`associate-l`
24×	`distribute-lft-in`

Problems

129×	`(sqrt.f64 (.f64 2 (.f64 x x)))`
127×	No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	30	96
2	69	96
3	144	96
4	218	96
5	293	96
6	295	96

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 25 to 14 computations (44% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	53.7%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize34.0ms (1.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 2 (.f64 x x))
✓	53.8%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite180.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`unpow-prod-down`
418×	`log-prod`
398×	`cbrt-prod`
368×	`prod-exp`
317×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	89	30
2	979	30

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

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

simplify151.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

2374×	`fma-def`
840×	`log-prod`
744×	`associate-+r+`
622×	`exp-prod`
548×	`sqr-pow`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	242	3084
1	508	3035
2	1347	2933
3	3457	2899
4	7185	2898

Stop Event

1×	node limit

Counts

118 → 142

Calls

Call 1

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

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

eval39.0ms (1.4%)

Compiler: Compiled 1501 to 1195 computations (20.4% saved)

prune23.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	4	143

Accuracy

100.0%

Counts

143 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
▶	100.0%	(hypot.f64 x x)
▶	99.6%	(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
▶	99.3%	(*.f64 (sqrt.f64 2) x)
▶	97.9%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
▶	100.0%	(hypot.f64 x x)
▶	99.6%	(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
▶	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 58 to 40 computations (31% saved)

localize117.0ms (4.2%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.3%	(*.f64 x (sqrt.f64 2))
✓	99.1%	(cbrt.f64 (*.f64 x (sqrt.f64 2)))
✓	98.9%	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
✓	100.0%	(hypot.f64 x x)
✓	100.0%	(hypot.f64 x x)
✓	99.9%	(pow.f64 (hypot.f64 x x) 1/4)
✓	99.6%	(pow.f64 (hypot.f64 x x) 3/4)
✓	99.5%	(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
✓	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 62 to 37 computations (40.3% saved)

series84.0ms (3%)

Counts

9 → 72

Calls

27 calls:

Time	Variable		Point	Expression
43.0ms	x	@	inf	(pow.f64 (hypot.f64 x x) 3/4)
25.0ms	x	@	0	(pow.f64 (hypot.f64 x x) 3/4)
6.0ms	x	@	-inf	(pow.f64 (hypot.f64 x x) 3/4)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)

rewrite136.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`log-prod`
660×	`prod-exp`
534×	`log1p-expm1-u`
534×	`expm1-log1p-u`
480×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	207	133
2	2003	133

Stop Event

1×	node limit

Counts

9 → 541

Calls

Call 1

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

Outputs
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 4/3)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x x)))
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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 (pow.f64 (hypot.f64 x x) 1/4) 4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 4/3)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x x)))
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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 (pow.f64 (hypot.f64 x x) 3/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4))) 1)
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 3/4) 1)
(*.f64 (pow.f64 (hypot.f64 x x) 3/4) (log.f64 (exp.f64 1)))
(*.f64 1 (pow.f64 (hypot.f64 x x) 3/4))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (pow.f64 (hypot.f64 x x) 1/12))
(*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 3/8))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (pow.f64 (hypot.f64 x x) 9/16) (pow.f64 (hypot.f64 x x) 3/16))
(*.f64 (pow.f64 (hypot.f64 x x) 3/16) (pow.f64 (hypot.f64 x x) 9/16))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) 1) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (pow.f64 (hypot.f64 x x) 5/8) (pow.f64 (hypot.f64 x x) 1/8))
(sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 3/4)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 9/4))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 3/4)))
(exp.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))))
(exp.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 3/4))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 3/8))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 9/4)) 1/3))
(exp.f64 (.f64 (.f64 3/8 (log.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 3/8) 2))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/8 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 3/8)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 3/8) (.f64 3/8 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 3/8) (.f64 (log.f64 (hypot.f64 x x)) 3/8)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 3/4)))
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(cbrt.f64 (pow.f64 (hypot.f64 x x) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 1/4)))
(exp.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/4))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3/4))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3/4))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/8))
(exp.f64 (.f64 (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/4))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/8))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/12)) 3))
(exp.f64 (.f64 (.f64 1/8 (log.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/8) 2))
(exp.f64 (+.f64 (.f64 1/8 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/8)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/8) (.f64 1/8 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/8) (.f64 (log.f64 (hypot.f64 x x)) 1/8)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/4)))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
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(*.f64 x (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
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(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 5/8))
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(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (pow.f64 (hypot.f64 x x) 1/6) (.f64 (pow.f64 (hypot.f64 x x) 1/12) (pow.f64 (hypot.f64 x x) 3/4)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
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(*.f64 (pow.f64 (hypot.f64 x x) 7/8) (pow.f64 (hypot.f64 x x) 1/8))
(*.f64 (pow.f64 (hypot.f64 x x) 5/8) (pow.f64 (hypot.f64 x x) 3/8))
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(pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 4/3)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x x)))
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
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(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
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(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
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(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
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(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
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(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(*.f64 (pow.f64 (hypot.f64 x x) 3/4) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 5/8))
(*.f64 (pow.f64 (hypot.f64 x x) 1/8) (pow.f64 (hypot.f64 x x) 7/8))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (pow.f64 (hypot.f64 x x) 1/6) (.f64 (pow.f64 (hypot.f64 x x) 1/12) (pow.f64 (hypot.f64 x x) 3/4)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 (pow.f64 (hypot.f64 x x) 11/12) (pow.f64 (hypot.f64 x x) 1/12))
(*.f64 (pow.f64 (hypot.f64 x x) 7/8) (pow.f64 (hypot.f64 x x) 1/8))
(*.f64 (pow.f64 (hypot.f64 x x) 5/8) (pow.f64 (hypot.f64 x x) 3/8))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/12))
(*.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 1)))
(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 x) (pow.f64 2 1/6))
(*.f64 (pow.f64 2 1/6) (cbrt.f64 x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/12) (pow.f64 (hypot.f64 x x) 1/4))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4/3)
(pow.f64 (hypot.f64 x x) 1/3)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/6)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/12) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2)))) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/9)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 1/3) (log.f64 (hypot.f64 x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x)))))
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) 3/2))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/12)) (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 4/3)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x x)))
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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)))

simplify212.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

1518×	`exp-prod`
1024×	`log-prod`
664×	`exp-sum`
600×	`log-pow`
562×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	464	12060
1	986	11550
2	2678	11502
3	5805	11454

Stop Event

1×	node limit

Counts

613 → 248

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
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(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/8))
(exp.f64 (.f64 (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/4))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/8))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/12)) 3))
(exp.f64 (.f64 (.f64 1/8 (log.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/8) 2))
(exp.f64 (+.f64 (.f64 1/8 (log.f64 (hypot.f64 x x))) (.f64 (log.f64 (hypot.f64 x x)) 1/8)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/8) (.f64 1/8 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/8) (.f64 (log.f64 (hypot.f64 x x)) 1/8)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/4)))
(+.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)
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(*.f64 x (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(*.f64 (pow.f64 (hypot.f64 x x) 3/4) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 5/8))
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(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (pow.f64 (hypot.f64 x x) 1/6) (.f64 (pow.f64 (hypot.f64 x x) 1/12) (pow.f64 (hypot.f64 x x) 3/4)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
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(*.f64 (pow.f64 (hypot.f64 x x) 7/8) (pow.f64 (hypot.f64 x x) 1/8))
(*.f64 (pow.f64 (hypot.f64 x x) 5/8) (pow.f64 (hypot.f64 x x) 3/8))
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(pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 4/3)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x x)))
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(*.f64 (pow.f64 (hypot.f64 x x) 3/4) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 5/8))
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(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
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(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
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(*.f64 (pow.f64 (hypot.f64 x x) 5/8) (pow.f64 (hypot.f64 x x) 3/8))
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(pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 4/3)
(pow.f64 (hypot.f64 x x) 1)
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(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
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(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x x)))
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (hypot.f64 x x))))
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(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
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(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
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(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
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(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
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(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
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(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)))
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(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)))
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(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 (hypot.f64 x x) 3/8) (pow.f64 (hypot.f64 x x) 5/8))
(*.f64 (pow.f64 (hypot.f64 x x) 1/8) (pow.f64 (hypot.f64 x x) 7/8))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(.f64 (pow.f64 (hypot.f64 x x) 1/6) (.f64 (pow.f64 (hypot.f64 x x) 1/12) (pow.f64 (hypot.f64 x x) 3/4)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 (pow.f64 (hypot.f64 x x) 11/12) (pow.f64 (hypot.f64 x x) 1/12))
(*.f64 (pow.f64 (hypot.f64 x x) 7/8) (pow.f64 (hypot.f64 x x) 1/8))
(*.f64 (pow.f64 (hypot.f64 x x) 5/8) (pow.f64 (hypot.f64 x x) 3/8))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/12))
(*.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 1)))
(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 x) (pow.f64 2 1/6))
(*.f64 (pow.f64 2 1/6) (cbrt.f64 x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/12) (pow.f64 (hypot.f64 x x) 1/4))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4/3)
(pow.f64 (hypot.f64 x x) 1/3)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/6)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/12) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2)))) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/9)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 1/3) (log.f64 (hypot.f64 x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x)))))
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) 3/2))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/12)) (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 4/3)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x x)))
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (sqrt.f64 2)) 3/4)
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 3/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4)
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 3/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4)
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 3/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4)
(exp.f64 (.f64 3/4 (+.f64 (log.f64 (sqrt.f64 2)) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 3/4) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 2) 3/4) (pow.f64 (/.f64 -1 x) -3/4))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 -1 x)) 3/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 x (sqrt.f64 2)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 2)))))
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(hypot.f64 x x)
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (sqrt.f64 2))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 2) (pow.f64 2 1/6)) x)
(.f64 x (.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 2 1/6)) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (*.f64 (cbrt.f64 x) (pow.f64 2 1/6)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 5/6))
(*.f64 (pow.f64 (hypot.f64 x x) 11/12) (pow.f64 (hypot.f64 x x) 1/12))
(*.f64 (pow.f64 (hypot.f64 x x) 1/12) (pow.f64 (hypot.f64 x x) 11/12))
(*.f64 (pow.f64 (hypot.f64 x x) 7/8) (pow.f64 (hypot.f64 x x) 1/8))
(hypot.f64 x x)
(*.f64 (pow.f64 (hypot.f64 x x) 5/8) (pow.f64 (hypot.f64 x x) 3/8))
(hypot.f64 x x)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x)))))) (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 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/12))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(cbrt.f64 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 1)))
(cbrt.f64 (hypot.f64 x x))
(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (cbrt.f64 x) (pow.f64 2 1/6))
(*.f64 (pow.f64 2 1/6) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 2 1/6))
(*.f64 (pow.f64 (hypot.f64 x x) 1/12) (pow.f64 (hypot.f64 x x) 1/4))
(cbrt.f64 (hypot.f64 x x))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4/3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (hypot.f64 x x) 1/3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/6)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/12) 4)
(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 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2)))) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/9)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (exp.f64 1/3) (log.f64 (hypot.f64 x x)))
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x x)))))
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/3))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/3))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 1))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 1))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) 3))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (hypot.f64 x x))) 2))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))))) 3/2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2)))) 3/2)
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/12)) (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) (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 (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 (pow.f64 (hypot.f64 x x) 1/4) 4)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/4) 4/3)
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 9)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(hypot.f64 x x)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (hypot.f64 x x))))
(hypot.f64 x x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (hypot.f64 x x))) 3/2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3/2) 2))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(*.f64 x (sqrt.f64 2))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 3/4 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) (.f64 (*.f64 1/4 (log.f64 (hypot.f64 x x))) 1)))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (*.f64 1/4 (log.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(exp.f64 (+.f64 (.f64 (.f64 3/4 (log.f64 (hypot.f64 x x))) 1) (.f64 (.f64 1/4 (log.f64 (hypot.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)

eval98.0ms (3.5%)

Compiler: Compiled 4597 to 2656 computations (42.2% saved)

prune41.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	323	1	324
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	325	3	328

Accuracy

100.0%

Counts

328 → 3

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))
✓	99.3%	(*.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))
✓	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize47.0ms (1.7%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 19 computations (13.6% saved)

series25.0ms (0.9%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	0	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
0.0ms	x	@	-inf	(*.f64 (pow.f64 2 1/4) x)
0.0ms	x	@	inf	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
0.0ms	x	@	inf	(*.f64 (pow.f64 2 1/4) x)

rewrite70.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify56.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

54 → 52

Calls

Call 1

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

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

eval25.0ms (0.9%)

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

prune9.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Accuracy

100.0%

Counts

55 → 3

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))
✓	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes17.0ms (0.6%)

Accuracy

Total -30.3b remaining (-155076.9%)

Threshold costs -30.3b (-155076.9%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(hypot.f64 x x)

Calls

4 calls:

4.0ms	x
4.0ms	(.f64 2 (.f64 x x))
3.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
3.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 60 to 40 computations (33.3% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

Compiler

Compiled 4 to 2 computations (50% saved)

soundness159.0ms (5.7%)

Rules

2374×	`fma-def`
840×	`log-prod`
744×	`associate-+r+`
622×	`exp-prod`
548×	`sqr-pow`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	242	3084
1	508	3035
2	1347	2933
3	3457	2899
4	7185	2898

Stop Event

1×	node limit

Compiler

Compiled 102 to 75 computations (26.5% saved)

end0.0ms (0%)

preprocess75.0ms (2.7%)

Remove: (abs x)
Compiler: Compiled 38 to 22 computations (42.1% saved)

analyze0.0ms (0%)

sample1.1s (39.1%)

preprocess74.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (1.2%)

series2.0ms (0.1%)

rewrite180.0ms (6.5%)

simplify151.0ms (5.5%)

eval39.0ms (1.4%)

prune23.0ms (0.8%)

localize117.0ms (4.2%)

series84.0ms (3%)

rewrite136.0ms (4.9%)

simplify212.0ms (7.7%)

eval98.0ms (3.5%)

prune41.0ms (1.5%)

localize47.0ms (1.7%)

series25.0ms (0.9%)

rewrite70.0ms (2.5%)

simplify56.0ms (2%)

eval25.0ms (0.9%)

prune9.0ms (0.3%)

regimes17.0ms (0.6%)

simplify5.0ms (0.2%)

soundness159.0ms (5.7%)

end0.0ms (0%)

preprocess75.0ms (2.7%)

Profiling