Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

analyze1.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample803.0ms (11.6%)

Results

785.0ms	8255×	body	256	valid
0.0ms	1×	body	2048	valid

Bogosity

preprocess71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
20×	`fma-def`
12×	`sub-neg`
12×	`div-sub`
10×	`associate-+l-`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	28	73
2	42	73
3	55	73
4	67	73
5	84	73
6	106	73
7	115	73
8	116	73

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 x))))

Compiler

Compiled 34 to 26 computations (23.5% 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
▶	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize50.0ms (0.7%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
	100.0%	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	100.0%	(sqrt.f64 (+.f64 x 1))
✓	100.0%	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 25 to 19 computations (24% saved)

series7.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
2.0ms	x	@	inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	inf	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms	x	@	0	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	-inf	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite213.0ms (3.1%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1638×	`frac-2neg`
1430×	`cancel-sign-sub-inv`
1062×	`div-sub`
446×	`swap-sqr`
308×	`cancel-sign-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	48	51
2	306	49
3	3434	49

Stop Event

1×	node limit

Counts

3 → 274

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))

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

Calls

9 calls:

1.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))

simplify193.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1072×	`times-frac`
1038×	`cancel-sign-sub`
666×	`associate-/r*`
640×	`associate-/l*`
626×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	667	12052
1	1683	10908
2	7541	10908

Stop Event

1×	node limit

Counts

286 → 362

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 0 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 0 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 x (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 x -1)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(+.f64 0 (.f64 (neg.f64 (/.f64 x (neg.f64 (+.f64 x 0)))) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(+.f64 -1 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 x (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 x -1)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (neg.f64 (/.f64 x (neg.f64 (+.f64 x 0)))) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(+.f64 (.f64 1 (/.f64 x (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))))
(+.f64 (.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (.f64 (/.f64 x (neg.f64 x)) 1) (.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1))
(+.f64 (.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(-.f64 0 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 2 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 -1 x) (/.f64 1 x)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)) (/.f64 1 x)))
(-.f64 (/.f64 (/.f64 (+.f64 2 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 x)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 x)))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 -1 x) (.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 -1 x) (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 x (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1/2) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1/2))
(*.f64 (/.f64 x 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 1 (/.f64 x (neg.f64 x))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x x) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 x (+.f64 x 0)) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) -1))
(exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))))
(-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) -1))
(-.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (/.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 x 1) (neg.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(-.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(-.f64 (/.f64 0 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 1) (/.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 1))
(-.f64 (/.f64 0 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))
(-.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 2 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 x 1) (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 0 (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (-.f64 1 x) (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 2 x)) (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 0 (neg.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (-.f64 1 x) (neg.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))
(-.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (neg.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 2 x)) (neg.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (neg.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (neg.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(-.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1) -1)
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))))
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 0 (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 0 (.f64 1 (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (.f64 1 (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))))
(-.f64 (/.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(-.f64 (/.f64 (+.f64 x 1) (.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 1 (.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) 1) (.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 1 (.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 x))) (/.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 x))))
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(/.f64 1 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)) (hypot.f64 1 (pow.f64 x 3/2))))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1)))))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)) (hypot.f64 1 (pow.f64 x 3/2)))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 x 3/2)) 1) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 1 (hypot.f64 1 (pow.f64 x 3/2))) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (+.f64 x -1))))
(/.f64 (neg.f64 (hypot.f64 1 (pow.f64 x 3/2))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) (neg.f64 (sqrt.f64 (+.f64 x -1))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 1 (pow.f64 x 3/2)) 1)) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (neg.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (+.f64 x -1))))
(/.f64 (neg.f64 (*.f64 1 (hypot.f64 1 (pow.f64 x 3/2)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x -1)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 1 (pow.f64 x 3/2)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (neg.f64 (pow.f64 x 3))))) (neg.f64 (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (fma.f64 -1/8 (.f64 x x) (.f64 1/2 x)))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 -1/8 (.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (fma.f64 -1/8 (.f64 x x) (.f64 1/2 x)) 1)
(+.f64 (.f64 x (.f64 x -1/8)) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x))) 1)
(+.f64 0 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 0 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 x (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 0 (*.f64 (neg.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 0 (*.f64 (neg.f64 (/.f64 x -1)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 0 (*.f64 (neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 0 (.f64 (neg.f64 (/.f64 x (neg.f64 (+.f64 x 0)))) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(+.f64 -1 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 x (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 x -1)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (neg.f64 (/.f64 x (neg.f64 (+.f64 x 0)))) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 1 (/.f64 x (neg.f64 x))) (.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 (.f64 (/.f64 x (neg.f64 x)) 1) (.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 (.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(-.f64 0 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 2 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2))) (/.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2))))
(-.f64 (/.f64 1 (.f64 (+.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (.f64 (+.f64 x 1) (+.f64 2 x)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (.f64 (+.f64 x 1) (+.f64 x 2))))) (/.f64 (pow.f64 (+.f64 x 1) 3) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (.f64 (+.f64 x 1) (+.f64 x 2))))))
(-.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))) (/.f64 (pow.f64 (+.f64 x 1) 3) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))))
(-.f64 (/.f64 (/.f64 -1 x) (/.f64 1 x)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)) (/.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (/.f64 (/.f64 (+.f64 2 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 x)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 x)))
(-.f64 (/.f64 (+.f64 x 2) (.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) x))
(*.f64 x (-.f64 (/.f64 (+.f64 x 2) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) (fma.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) x) x))))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 x 1))
(.f64 (pow.f64 (+.f64 x 1) 1/4) (.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (/.f64 1 (+.f64 x -1))))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 1 (sqrt.f64 (+.f64 x -1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (/.f64 1 (+.f64 x -1))))
(*.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x))))
(*.f64 (hypot.f64 1 (pow.f64 x 3/2)) (/.f64 1 (sqrt.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (hypot.f64 1 (pow.f64 x 3/2)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x)) 1/2))
(*.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4)) (*.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 1/4) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/4)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (/.f64 1 (+.f64 x -1))))
(.f64 (.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/4) (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/4)) (*.f64 (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x)) 1/4) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x)) 1/4)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x))) (pow.f64 (+.f64 (pow.f64 x 3) 1) 1/2))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) 1)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/4) (pow.f64 (+.f64 x 1) 1/8)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/4) (pow.f64 (+.f64 x 1) 1/8)))
(.f64 (pow.f64 (+.f64 x 1) 1/4) (.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/4) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/4)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/4)) (*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/4)))
(.f64 (pow.f64 (+.f64 x 1) 1/4) (.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/4) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/4)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 x 1))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)) (hypot.f64 1 (pow.f64 x 3/2))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 x 1))))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)) (hypot.f64 1 (pow.f64 x 3/2)))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 x 3/2)) 1) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 1 (hypot.f64 1 (pow.f64 x 3/2))) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (+.f64 x -1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (neg.f64 (hypot.f64 1 (pow.f64 x 3/2))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3))) (sqrt.f64 (+.f64 (neg.f64 (fma.f64 x x 1)) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) (neg.f64 (sqrt.f64 (+.f64 x -1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (neg.f64 (*.f64 (hypot.f64 1 (pow.f64 x 3/2)) 1)) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (neg.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (+.f64 x -1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (neg.f64 (*.f64 1 (hypot.f64 1 (pow.f64 x 3/2)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x -1)))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 1 (pow.f64 x 3/2)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (neg.f64 (pow.f64 x 3))))) (neg.f64 (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3)))) (neg.f64 (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x)))))
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3))) (sqrt.f64 (+.f64 (neg.f64 (fma.f64 x x 1)) x))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (sqrt.f32 (+.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (sqrt.f32 (+.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 1 (sqrt.f32 (+.f32 1 (binary64->binary32 x))))))

eval212.0ms (3.1%)

Compiler: Compiled 7687 to 6050 computations (21.3% saved)

prune60.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	356	6	362
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	356	7	363

Accuracy

100.0%

Counts

363 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.5%	(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
▶	99.7%	(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
▶	69.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	68.6%	(/.f64 x 2)
▶	38.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
	97.5%	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
▶	67.5%	(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
▶	99.7%	(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
▶	69.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	68.6%	(/.f64 x 2)
▶	38.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
	97.5%	(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

Compiler

Compiled 214 to 166 computations (22.4% saved)

localize788.0ms (11.4%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	38.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
	100.0%	(sqrt.f64 (+.f64 x 1))
	100.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
	99.7%	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
	99.7%	(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
	100.0%	(pow.f64 (+.f64 x 1) 1/4)
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	38.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	100.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	100.0%	(pow.f64 (+.f64 x 1) 1/4)
✓	99.7%	(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
✓	99.7%	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)

Compiler

Compiled 95 to 68 computations (28.4% saved)

series12.0ms (0.2%)

Counts

5 → 52

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
2.0ms	x	@	inf	(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
2.0ms	x	@	-inf	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
1.0ms	x	@	inf	(pow.f64 (+.f64 x 1) 1/4)
1.0ms	x	@	inf	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)

rewrite247.0ms (3.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1964×	`div-sub`
520×	`cancel-sign-sub`
360×	`frac-times`
256×	`associate-l`
228×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	139
1	91	91
2	522	75
3	5418	75

Stop Event

1×	node limit

Counts

5 → 409

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
(pow.f64 (+.f64 x 1) 1/4)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

Outputs
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1))
(+.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 -1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(+.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x 0))))
(+.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (neg.f64 x))))
(+.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (.f64 (/.f64 -1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1))
(-.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) -1))
(-.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1))
(-.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (*.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) -1)
(-.f64 (/.f64 0 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) 1) (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (/.f64 -1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) 1))
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(-.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) 1) (/.f64 (/.f64 (*.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) 1))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) 1) -1)
(-.f64 (/.f64 1 (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 -1 (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 0 (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 -1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 (.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 -1 (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 0 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1) -1)
(-.f64 (/.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (-.f64 (/.f64 1 (+.f64 x -1)) -1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(-.f64 (/.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (/.f64 1 (+.f64 x 2)) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(-.f64 (/.f64 0 (neg.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (+.f64 x 0) (neg.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (+.f64 x 2))) (/.f64 1 (.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (+.f64 x 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))) (/.f64 1 (.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x 0) (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (+.f64 x 0) (+.f64 x 0)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x 0) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (+.f64 x 0) 1) (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (+.f64 x 0) (neg.f64 (+.f64 x 0))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x 0) (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (+.f64 x 0) (neg.f64 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (+.f64 x 0)))
(/.f64 1 (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1)
(/.f64 (+.f64 x 0) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 (neg.f64 (+.f64 x 0)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) (.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 x 0) (+.f64 x 0)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 x 0) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 (+.f64 x 1) (.f64 (+.f64 x 0) (/.f64 1 x))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(/.f64 (-.f64 (+.f64 x 1) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 0 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 -1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 0 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 0) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 (+.f64 x 1) (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 -1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 (.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 x 2)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
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(-.f64 (/.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 (/.f64 (.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))) (/.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 1/2 (log1p.f64 x))))))
(-.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 x 2)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 0 (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (/.f64 1 (.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(-.f64 (/.f64 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(-.f64 (/.f64 (.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (+.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (/.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (+.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/2 (.f64 (*.f64 x 2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 x 0) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x 0))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 (+.f64 x 0)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(.f64 (.f64 (+.f64 x 0) 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(.f64 (pow.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) -1/2) (pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1/2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2) (*.f64 x 2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x 1/2)) 2)
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (*.f64 x 1/2))
(.f64 (/.f64 (+.f64 x 0) (+.f64 x 0)) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(.f64 (/.f64 x (+.f64 x 0)) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x 0) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (-.f64 (+.f64 x 0) (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x 2)))
(/.f64 (*.f64 x 1/2) (-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 2) -1/2))
(/.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x 1/2)))
(/.f64 -1 (/.f64 -1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x 0) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 x 0)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (*.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (-.f64 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(/.f64 (-.f64 (.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 x 0) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) 1) (.f64 (+.f64 x 2) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) -1) (.f64 (+.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) 1) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) 1) (.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) -1) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) 1) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x 0))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 x 0) -1) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (/.f64 (neg.f64 x) -1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (neg.f64 (+.f64 x 0)) -1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) (+.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (-.f64 (neg.f64 (+.f64 x 1)) -1) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 (+.f64 x 0) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) -1))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8) -1)

Calls

16 calls:

1.0ms	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
0.0ms	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
0.0ms	(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
0.0ms	(pow.f64 (+.f64 x 1) 1/4)
0.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

simplify252.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1656×	`times-frac`
1247×	`associate-r`
1026×	`associate-l`
902×	`fma-def`
871×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	984	22533
1	2638	19957

Stop Event

1×	node limit

Counts

461 → 534

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 1 (sqrt.f64 x))
(+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (+.f64 (sqrt.f64 x) (+.f64 (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))))
(+.f64 1 (+.f64 (sqrt.f64 x) (+.f64 (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))))))
(+.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)))
(+.f64 1 (+.f64 (.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)))))
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1
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(pow.f64 x 1/4)
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(*.f64 1/2 x)
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2
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2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
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(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/2 x)
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(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 0 (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (/.f64 1 (.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(-.f64 (/.f64 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(-.f64 (/.f64 (.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (+.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (/.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (+.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/2 (.f64 (*.f64 x 2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 x 0) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x 0))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 (+.f64 x 0)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(.f64 (expm1.f64 (.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(.f64 (.f64 (+.f64 x 0) 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(.f64 (pow.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x)))) -1/2) (pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1/2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2) (*.f64 x 2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x 1/2)) 2)
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (*.f64 x 1/2))
(.f64 (/.f64 (+.f64 x 0) (+.f64 x 0)) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(.f64 (/.f64 x (+.f64 x 0)) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x 0) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (-.f64 (+.f64 x 0) (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x 2)))
(/.f64 (*.f64 x 1/2) (-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 2) -1/2))
(/.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x 1/2)))
(/.f64 -1 (/.f64 -1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x 0) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 x 0)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (*.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (-.f64 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(/.f64 (-.f64 (.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 x 0) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) 1) (.f64 (+.f64 x 2) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) -1) (.f64 (+.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) 1) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) 1) (.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) -1) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) 1) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x 0))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 x 0) -1) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (/.f64 (neg.f64 x) -1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (neg.f64 (+.f64 x 0)) -1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) (+.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (-.f64 (neg.f64 (+.f64 x 1)) -1) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 (+.f64 x 0) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) -1))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(.f64 (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(binary32->binary64 (binary64->binary32 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(binary32->binary64 (+.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)) -1))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x 1) 1/4)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x 1) 1/4)))
(binary32->binary64 (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (fma.f32 (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4) (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4) 1)))
(binary32->binary64 (binary64->binary32 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)))
(binary32->binary64 (binary64->binary32 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)))
(binary32->binary64 (fma.f32 (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4) (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4) 1))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 (*.f32 1/2 (binary64->binary32 x)) 2)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(binary32->binary64 (+.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)) -1))

Outputs
2
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (fma.f64 -1/8 (.f64 x x) (.f64 1/2 x)))
(+.f64 (.f64 x (.f64 x -1/8)) (fma.f64 1/2 x 2))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 -1/8 (.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x))))
(+.f64 1 (sqrt.f64 x))
(+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(+.f64 1 (+.f64 (sqrt.f64 x) (+.f64 (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))))
(+.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))))
(+.f64 1 (+.f64 (fma.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (+.f64 (sqrt.f64 x) (+.f64 (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))))))
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1
(+.f64 1 (*.f64 1/4 x))
(+.f64 1 (*.f64 x 1/4))
(fma.f64 x 1/4 1)
(+.f64 1 (+.f64 (.f64 -3/32 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 1 (fma.f64 -3/32 (.f64 x x) (.f64 x 1/4)))
(+.f64 (fma.f64 x 1/4 1) (.f64 (.f64 -3/32 x) x))
(+.f64 1 (+.f64 (.f64 -3/32 (pow.f64 x 2)) (+.f64 (.f64 7/128 (pow.f64 x 3)) (*.f64 1/4 x))))
(+.f64 1 (fma.f64 -3/32 (.f64 x x) (fma.f64 7/128 (pow.f64 x 3) (.f64 x 1/4))))
(+.f64 1 (fma.f64 (.f64 x x) -3/32 (fma.f64 (pow.f64 x 3) 7/128 (.f64 x 1/4))))
(pow.f64 x 1/4)
(+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)) (pow.f64 x 1/4))
(fma.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (pow.f64 x 1/4))
(+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4)) (+.f64 (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)) (pow.f64 x 1/4)))
(fma.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4) (fma.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (pow.f64 x 1/4)))
(+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4)) (+.f64 (.f64 7/128 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/4)) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)) (pow.f64 x 1/4))))
(fma.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4) (fma.f64 7/128 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/4) (fma.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (pow.f64 x 1/4))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/4 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x)))
(fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -3/32 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (.f64 1/4 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))
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(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 (pow.f64 x 3) 1/32 (.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/128 (pow.f64 x 4)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 (pow.f64 x 3) 1/32 (.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
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(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) 1) (.f64 (+.f64 x 2) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 x)))
(/.f64 (/.f64 (*.f64 (+.f64 2 x) x) (+.f64 2 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) -1) (.f64 (+.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 2)) (+.f64 2 x)) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (.f64 (+.f64 2 x) x)) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) 1) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (+.f64 2 x) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (+.f64 x (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) 1) (.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) -1) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 2 x) (pow.f64 (+.f64 x 1) 2))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (+.f64 x (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) 1) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x 0))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 x 0) -1) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x 2))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 x)))
(/.f64 (/.f64 (*.f64 (+.f64 2 x) x) (+.f64 2 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 (+.f64 2 x) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (+.f64 x (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (/.f64 (neg.f64 x) -1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (neg.f64 (+.f64 x 0)) -1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) (+.f64 (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) (fma.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) (fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (-.f64 (neg.f64 (+.f64 x 1)) -1) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(neg.f64 (*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(neg.f64 (/.f64 (+.f64 x 0) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 1 (expm1.f64 (.f64 1/2 (log1p.f64 x))))) -1))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (+.f64 (pow.f64 (+.f64 x 1) 1/4) -1))
(+.f64 -1 (pow.f64 (+.f64 x 1) 1/2))
(fma.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(cbrt.f64 (.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))) (pow.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))) 2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(binary32->binary64 (binary64->binary32 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (binary64->binary32 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (+.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)) -1))
(binary32->binary64 (+.f32 -1 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x 1) 1/4)))
(binary32->binary64 (binary64->binary32 (pow.f64 (+.f64 x 1) 1/4)))
(binary32->binary64 (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4))
(binary32->binary64 (pow.f32 (+.f32 1 (binary64->binary32 x)) 1/4))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 1/2)))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 1/2)))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (fma.f32 (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4) (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4) 1)))
(binary32->binary64 (/.f32 (binary64->binary32 x) (fma.f32 (pow.f32 (+.f32 1 (binary64->binary32 x)) 1/4) (pow.f32 (+.f32 1 (binary64->binary32 x)) 1/4) 1)))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 1 (pow.f32 (+.f32 1 (binary64->binary32 x)) 1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 1 (pow.f64 (+.f64 x 1) 1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 1 (pow.f64 (+.f64 x 1) 1/2))))
(binary32->binary64 (fma.f32 (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4) (pow.f32 (+.f32 (binary64->binary32 x) 1) 1/4) 1))
(binary32->binary64 (fma.f32 (pow.f32 (+.f32 1 (binary64->binary32 x)) 1/4) (pow.f32 (+.f32 1 (binary64->binary32 x)) 1/4) 1))
(binary32->binary64 (+.f32 1 (pow.f32 (+.f32 1 (binary64->binary32 x)) 1/2)))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 1/2 x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 1/2 x 2))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 (*.f32 1/2 (binary64->binary32 x)) 2)))
(binary32->binary64 (/.f32 (binary64->binary32 x) (fma.f32 1/2 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (sqrt.f32 (+.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (binary64->binary32 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (+.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)) -1))
(binary32->binary64 (+.f32 -1 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))

eval344.0ms (5%)

Compiler: Compiled 16056 to 12980 computations (19.2% saved)

prune96.0ms (1.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	664	4	668
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	665	10	675

Accuracy

100.0%

Counts

675 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.5%	(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
▶	99.5%	(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
✓	99.7%	(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
✓	69.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	68.6%	(/.f64 x 2)
▶	3.2%	(-.f64 2 (/.f64 8 x))
✓	38.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	3.8%	(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
▶	68.9%	(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
✓	67.5%	(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
▶	99.5%	(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
✓	99.7%	(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
✓	69.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	68.6%	(/.f64 x 2)
▶	3.2%	(-.f64 2 (/.f64 8 x))
✓	38.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	3.8%	(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
▶	68.9%	(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))

Compiler

Compiled 198 to 154 computations (22.2% saved)

localize138.0ms (2%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	99.6%	(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
	99.8%	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
	100.0%	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
	100.0%	(sqrt.f64 (+.f64 x 1))
	99.1%	(/.f64 32 (*.f64 x x))
	100.0%	(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
	82.1%	(/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))
	99.9%	(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
	100.0%	(sqrt.f64 (+.f64 x 1))
	100.0%	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	99.8%	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	99.6%	(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
✓	100.0%	(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
✓	99.1%	(/.f64 32 (*.f64 x x))
✓	99.9%	(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
✓	82.1%	(/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))

Compiler

Compiled 138 to 91 computations (34.1% saved)

series6.0ms (0.1%)

Counts

6 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	-inf	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	inf	(/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))
0.0ms	x	@	0	(/.f64 32 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))

rewrite127.0ms (1.8%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1612×	`frac-sub`
766×	`frac-2neg`
496×	`fma-def`
488×	`*-commutative`
488×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	164
1	166	134
2	1448	118

Stop Event

1×	node limit

Counts

6 → 330

Calls

Call 1

Inputs
(/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))
(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
(/.f64 32 (*.f64 x x))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Outputs
(-.f64 (/.f64 0 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))) (/.f64 x (neg.f64 (fma.f64 x (.f64 x -1/4) 4))))
(.f64 x (/.f64 1 (fma.f64 x (.f64 x -1/4) 4)))
(.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) 1)
(.f64 1 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))))
(.f64 (+.f64 4 (.f64 (.f64 x x) 1/4)) (/.f64 x (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x -1/4) 4)) x)
(.f64 (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))) (/.f64 x (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)))
(.f64 -2 (/.f64 (.f64 x -1/2) (fma.f64 x (*.f64 x -1/4) 4)))
(.f64 (/.f64 1 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))) (neg.f64 x))
(.f64 (/.f64 x (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 4 (.f64 (.f64 x x) 1/4)))
(.f64 (/.f64 x (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))) (/.f64 1 (/.f64 1 (+.f64 4 (.f64 (.f64 x x) 1/4)))))
(.f64 (/.f64 x (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)) (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))))
(.f64 (/.f64 x (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)) (/.f64 1 (/.f64 1 (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))))))
(.f64 (/.f64 1 (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))) (/.f64 x (/.f64 1 (+.f64 4 (.f64 (.f64 x x) 1/4)))))
(.f64 (/.f64 1 (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)) (/.f64 x (/.f64 1 (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))))))
(.f64 (/.f64 (.f64 x -1/2) -1) (/.f64 2 (fma.f64 x (*.f64 x -1/4) 4)))
(.f64 (/.f64 (.f64 x 2) -1) (/.f64 -1/2 (fma.f64 x (*.f64 x -1/4) 4)))
(.f64 (/.f64 -1 (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 4 (.f64 (.f64 x x) 1/4)))))
(.f64 (/.f64 -1 (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) x) -1/2) (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x) -1/2))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (*.f64 x -1/4) 4))))
(+.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4)) -1/2)))
(+.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)) (.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 4))))
(-.f64 (/.f64 (/.f64 4 (+.f64 2 (.f64 x 1/2))) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)) (/.f64 (/.f64 (.f64 (.f64 x x) 1/4) (+.f64 2 (.f64 x 1/2))) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)))
(-.f64 (/.f64 (.f64 4 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))) (/.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))))
(/.f64 x (+.f64 2 (*.f64 x 1/2)))
(/.f64 (fma.f64 x -1/2 2) (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x -1/4) 4) (.f64 x (fma.f64 x -1/2 2))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 2 (*.f64 x 1/2))))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) (.f64 x (fma.f64 x -1/2 2)))))
(/.f64 (.f64 x (fma.f64 x -1/2 2)) (fma.f64 x (.f64 x -1/4) 4))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 8)) (.f64 (fma.f64 x (.f64 x -1/4) 4) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x))))
(/.f64 (.f64 1 (fma.f64 (pow.f64 x 3) -1/8 8)) (.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) x) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x 3) -1/8 8)) (.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4)) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 x -1/2 2))) (neg.f64 (fma.f64 x (.f64 x -1/4) 4)))
(/.f64 (.f64 (/.f64 x (+.f64 2 (.f64 x 1/2))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)))
(/.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (fma.f64 (pow.f64 x 3) -1/8 8)) (+.f64 4 (fma.f64 (*.f64 x x) 1/4 x)))
(/.f64 (.f64 (fma.f64 x -1/2 2) 1) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))
(/.f64 (.f64 (fma.f64 x -1/2 2) (neg.f64 x)) (neg.f64 (fma.f64 x (.f64 x -1/4) 4)))
(/.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (/.f64 x (fma.f64 x (.f64 x -1/4) 4))) (+.f64 2 (.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) 3) (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)) 3)) (+.f64 (.f64 4 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4)) -1/2))))))
(/.f64 (neg.f64 (fma.f64 x -1/2 2)) (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x)))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x -1/4) 4))) (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (+.f64 2 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 8))) (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x)))))
(/.f64 (neg.f64 (.f64 1 (fma.f64 (pow.f64 x 3) -1/8 8))) (neg.f64 (.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) x) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) 1)) (neg.f64 (.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (neg.f64 x))) (neg.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4)) (+.f64 2 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x 3) -1/8 8))) (neg.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4)) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 x -1/2 2)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))))
(/.f64 (neg.f64 (.f64 (/.f64 x (+.f64 2 (.f64 x 1/2))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)))) (neg.f64 (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))))
(/.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (fma.f64 (pow.f64 x 3) -1/8 8))) (neg.f64 (+.f64 4 (fma.f64 (*.f64 x x) 1/4 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x -1/2 2) 1)) (neg.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 x -1/2 2) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (neg.f64 (+.f64 2 (.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) 3) (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)) 3))) (neg.f64 (+.f64 (.f64 4 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4)) -1/2)))))))
(/.f64 (.f64 x (fma.f64 x (.f64 x -1/4) 4)) (.f64 (fma.f64 x (.f64 x -1/4) 4) (+.f64 2 (*.f64 x 1/2))))
(/.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) 1) (.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x)))
(/.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (neg.f64 x)) (.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4)) (+.f64 2 (*.f64 x 1/2))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (.f64 4 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4))))) (-.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)) (.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 4)))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) (.f64 x (fma.f64 x -1/2 2))) -1)
(fma.f64 x (.f64 2 (/.f64 1 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4)) -1/2)))
(fma.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2) (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))))
(fma.f64 x (.f64 (.f64 x -1/2) (/.f64 1 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 4))))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) 2 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (.f64 x -1/2) (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))))
(fma.f64 2 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)))
(fma.f64 -1/2 (.f64 x (/.f64 x (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))))
(fma.f64 (.f64 x -1/2) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))))
(fma.f64 (.f64 x 2) (/.f64 1 (fma.f64 x (.f64 x -1/4) 4)) (.f64 x (.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4)) -1/2)))
(fma.f64 (.f64 x (.f64 x -1/2)) (/.f64 1 (fma.f64 x (.f64 x -1/4) 4)) (.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 4))))
(fma.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2) x (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))))
(fma.f64 (.f64 x (/.f64 x (fma.f64 x (.f64 x -1/4) 4))) -1/2 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))))
(*.f64 32 (pow.f64 x -2))
(.f64 (.f64 32 (pow.f64 x -2)) 1)
(.f64 1 (.f64 32 (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 32 x))
(.f64 -32 (/.f64 1 (.f64 x (neg.f64 x))))
(*.f64 -32 (/.f64 (/.f64 1 x) (neg.f64 x)))
(*.f64 (pow.f64 x -2) 32)
(*.f64 (/.f64 32 x) (/.f64 1 x))
(.f64 (/.f64 1 (.f64 x (neg.f64 x))) -32)
(.f64 (pow.f64 (.f64 (.f64 x x) 1/32) -1/2) (pow.f64 (.f64 (*.f64 x x) 1/32) -1/2))
(pow.f64 (.f64 (.f64 x x) 1/32) -1)
(+.f64 (*.f64 32 (pow.f64 x -2)) (/.f64 -8 x))
(+.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) (fma.f64 (/.f64 -1 x) 8 (/.f64 8 x)))
(+.f64 (/.f64 -8 x) (*.f64 32 (pow.f64 x -2)))
(+.f64 (fma.f64 (/.f64 -1 x) 8 (/.f64 8 x)) (/.f64 (-.f64 (/.f64 32 x) 8) x))
(.f64 (-.f64 (.f64 x 32) (.f64 x (.f64 x 8))) (/.f64 1 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 1024 (pow.f64 x -4)) (*.f64 -64 (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 (/.f64 32 x) -8) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 32 x) 3) 512) (pow.f64 x 3)) (/.f64 1 (fma.f64 1024 (pow.f64 x -4) (fma.f64 64 (pow.f64 x -2) (/.f64 256 (pow.f64 x 3))))))
(.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (.f64 x 32) (.f64 x (.f64 x 8))))
(.f64 (/.f64 1 (/.f64 (-.f64 (/.f64 32 x) -8) x)) (+.f64 (.f64 1024 (pow.f64 x -4)) (*.f64 -64 (pow.f64 x -2))))
(*.f64 (/.f64 1 (fma.f64 1024 (pow.f64 x -4) (fma.f64 64 (pow.f64 x -2) (/.f64 256 (pow.f64 x 3))))) (/.f64 (-.f64 (pow.f64 (/.f64 32 x) 3) 512) (pow.f64 x 3)))
(/.f64 1 (/.f64 (pow.f64 x 3) (-.f64 (.f64 x 32) (.f64 x (*.f64 x 8)))))
(/.f64 1 (/.f64 (/.f64 (-.f64 (/.f64 32 x) -8) x) (+.f64 (.f64 1024 (pow.f64 x -4)) (.f64 -64 (pow.f64 x -2)))))
(/.f64 1 (/.f64 (fma.f64 1024 (pow.f64 x -4) (fma.f64 64 (pow.f64 x -2) (/.f64 256 (pow.f64 x 3)))) (/.f64 (-.f64 (pow.f64 (/.f64 32 x) 3) 512) (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 x 32) (.f64 x (*.f64 x 8))) (pow.f64 x 3))
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(-.f64 (/.f64 1 (-.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (+.f64 x 1))))
(-.f64 (/.f64 (+.f64 1 (+.f64 x 1)) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (-.f64 1 (+.f64 x 1))))
(*.f64 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2))
(*.f64 (/.f64 1 (-.f64 1 (+.f64 x 1))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) -1)
(exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))

Calls

20 calls:

1.0ms	(/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))
0.0ms	(/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))
0.0ms	(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
0.0ms	(/.f64 32 (*.f64 x x))
0.0ms	(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))

simplify194.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1327×	`associate-/l*`
1156×	`*-commutative`
805×	`fma-def`
728×	`associate-*r/`
479×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	913	16978
1	2926	14614

Stop Event

1×	node limit

Counts

386 → 518

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 1/64 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/1024 (pow.f64 x 5)) (+.f64 (.f64 1/64 (pow.f64 x 3)) (*.f64 1/4 x)))
(+.f64 (.f64 1/16384 (pow.f64 x 7)) (+.f64 (.f64 1/1024 (pow.f64 x 5)) (+.f64 (.f64 1/64 (pow.f64 x 3)) (.f64 1/4 x))))
(/.f64 -4 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 x)) (.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1024 (/.f64 1 (pow.f64 x 5))) (*.f64 4 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1024 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 16384 (/.f64 1 (pow.f64 x 7))) (.f64 4 (/.f64 1 x))))))
(/.f64 -4 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 x)) (.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1024 (/.f64 1 (pow.f64 x 5))) (*.f64 4 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1024 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 16384 (/.f64 1 (pow.f64 x 7))) (.f64 4 (/.f64 1 x))))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/128 (pow.f64 x 4)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x)))
(-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x)))
(-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x)))
(/.f64 -8 x)
(-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x)))
(-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x)))
(-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x)))
(/.f64 -8 x)
(-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x)))
(-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x)))
(-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x)))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 2)))))
(-.f64 (/.f64 0 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))) (/.f64 x (neg.f64 (fma.f64 x (.f64 x -1/4) 4))))
(.f64 x (/.f64 1 (fma.f64 x (.f64 x -1/4) 4)))
(.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) 1)
(.f64 1 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))))
(.f64 (+.f64 4 (.f64 (.f64 x x) 1/4)) (/.f64 x (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x -1/4) 4)) x)
(.f64 (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))) (/.f64 x (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)))
(.f64 -2 (/.f64 (.f64 x -1/2) (fma.f64 x (*.f64 x -1/4) 4)))
(.f64 (/.f64 1 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))) (neg.f64 x))
(.f64 (/.f64 x (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 4 (.f64 (.f64 x x) 1/4)))
(.f64 (/.f64 x (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))) (/.f64 1 (/.f64 1 (+.f64 4 (.f64 (.f64 x x) 1/4)))))
(.f64 (/.f64 x (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)) (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))))
(.f64 (/.f64 x (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)) (/.f64 1 (/.f64 1 (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))))))
(.f64 (/.f64 1 (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))) (/.f64 x (/.f64 1 (+.f64 4 (.f64 (.f64 x x) 1/4)))))
(.f64 (/.f64 1 (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)) (/.f64 x (/.f64 1 (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))))))
(.f64 (/.f64 (.f64 x -1/2) -1) (/.f64 2 (fma.f64 x (*.f64 x -1/4) 4)))
(.f64 (/.f64 (.f64 x 2) -1) (/.f64 -1/2 (fma.f64 x (*.f64 x -1/4) 4)))
(.f64 (/.f64 -1 (+.f64 16 (.f64 -1/16 (pow.f64 x 4)))) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 4 (.f64 (.f64 x x) 1/4)))))
(.f64 (/.f64 -1 (fma.f64 -1/64 (pow.f64 (.f64 x x) 3) 64)) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 16 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/16))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) x) -1/2) (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x) -1/2))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (*.f64 x -1/4) 4))))
(exp.f64 (log.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(log.f64 (exp.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))) (sqrt.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (*.f64 x x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(.f64 1 (/.f64 x (+.f64 4 (.f64 -1/4 (*.f64 x x)))))
(.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))) (cbrt.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))))) (cbrt.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(cbrt.f64 (.f64 (.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))) (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(pow.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) 1)
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 4 (.f32 -1/4 (.f32 (binary64->binary32 x) (binary64->binary32 x))))))
(+.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4)) -1/2)))
(+.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)) (.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 4))))
(-.f64 (/.f64 (/.f64 4 (+.f64 2 (.f64 x 1/2))) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)) (/.f64 (/.f64 (.f64 (.f64 x x) 1/4) (+.f64 2 (.f64 x 1/2))) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)))
(-.f64 (/.f64 (.f64 4 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))) (/.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))))
(/.f64 x (+.f64 2 (*.f64 x 1/2)))
(/.f64 (fma.f64 x -1/2 2) (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x -1/4) 4) (.f64 x (fma.f64 x -1/2 2))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 2 (*.f64 x 1/2))))
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) (.f64 x (fma.f64 x -1/2 2)))))
(/.f64 (.f64 x (fma.f64 x -1/2 2)) (fma.f64 x (.f64 x -1/4) 4))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 8)) (.f64 (fma.f64 x (.f64 x -1/4) 4) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x))))
(/.f64 (.f64 1 (fma.f64 (pow.f64 x 3) -1/8 8)) (.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) x) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x 3) -1/8 8)) (.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4)) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 x -1/2 2))) (neg.f64 (fma.f64 x (.f64 x -1/4) 4)))
(/.f64 (.f64 (/.f64 x (+.f64 2 (.f64 x 1/2))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)))
(/.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (fma.f64 (pow.f64 x 3) -1/8 8)) (+.f64 4 (fma.f64 (*.f64 x x) 1/4 x)))
(/.f64 (.f64 (fma.f64 x -1/2 2) 1) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))
(/.f64 (.f64 (fma.f64 x -1/2 2) (neg.f64 x)) (neg.f64 (fma.f64 x (.f64 x -1/4) 4)))
(/.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (/.f64 x (fma.f64 x (.f64 x -1/4) 4))) (+.f64 2 (.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) 3) (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)) 3)) (+.f64 (.f64 4 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4)) -1/2))))))
(/.f64 (neg.f64 (fma.f64 x -1/2 2)) (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x)))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x -1/4) 4))) (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (+.f64 2 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 8))) (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x)))))
(/.f64 (neg.f64 (.f64 1 (fma.f64 (pow.f64 x 3) -1/8 8))) (neg.f64 (.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) x) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) 1)) (neg.f64 (.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (neg.f64 x))) (neg.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4)) (+.f64 2 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x 3) -1/8 8))) (neg.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4)) (+.f64 4 (fma.f64 (.f64 x x) 1/4 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 x -1/2 2)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))))
(/.f64 (neg.f64 (.f64 (/.f64 x (+.f64 2 (.f64 x 1/2))) (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)))) (neg.f64 (/.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (.f64 x -1/4) 4) x))))
(/.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (fma.f64 (pow.f64 x 3) -1/8 8))) (neg.f64 (+.f64 4 (fma.f64 (*.f64 x x) 1/4 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x -1/2 2) 1)) (neg.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 x -1/2 2) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (neg.f64 (+.f64 2 (.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) 3) (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)) 3))) (neg.f64 (+.f64 (.f64 4 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (.f64 (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4)) -1/2)))))))
(/.f64 (.f64 x (fma.f64 x (.f64 x -1/4) 4)) (.f64 (fma.f64 x (.f64 x -1/4) 4) (+.f64 2 (*.f64 x 1/2))))
(/.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) 1) (.f64 (+.f64 2 (.f64 x 1/2)) (/.f64 (fma.f64 x (*.f64 x -1/4) 4) x)))
(/.f64 (.f64 (fma.f64 x (.f64 x -1/4) 4) (neg.f64 x)) (.f64 (neg.f64 (fma.f64 x (.f64 x -1/4) 4)) (+.f64 2 (*.f64 x 1/2))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4)))) (.f64 4 (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (/.f64 x (fma.f64 x (.f64 x -1/4) 4))))) (-.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)) (.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 4)))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x -1/4) 4) (.f64 x (fma.f64 x -1/2 2))) -1)
(fma.f64 x (.f64 2 (/.f64 1 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4)) -1/2)))
(fma.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2) (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))))
(fma.f64 x (.f64 (.f64 x -1/2) (/.f64 1 (fma.f64 x (.f64 x -1/4) 4))) (.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 4))))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) 2 (.f64 x (.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) -1/2)))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x -1/4) 4)) (.f64 x -1/2) (.f64 x (/.f64 2 (fma.f64 x (.f64 x -1/4) 4))))
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(fma.f64 -8 (/.f64 1 x) (*.f64 32 (pow.f64 x -2)))
(fma.f64 (+.f64 (.f64 1024 (pow.f64 x -4)) (.f64 -64 (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 (/.f64 32 x) -8) x)) (fma.f64 (/.f64 -1 x) 8 (/.f64 8 x)))
(fma.f64 (pow.f64 x -2) 32 (/.f64 -8 x))
(fma.f64 (/.f64 32 x) (/.f64 1 x) (/.f64 -8 x))
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 32 x) 3) 512) (pow.f64 x 3)) (/.f64 1 (fma.f64 1024 (pow.f64 x -4) (fma.f64 64 (pow.f64 x -2) (/.f64 256 (pow.f64 x 3))))) (fma.f64 (/.f64 -1 x) 8 (/.f64 8 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(.f64 (sqrt.f64 (-.f64 (/.f64 32 (.f64 x x)) (/.f64 8 x))) (sqrt.f64 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(.f64 1 (-.f64 (/.f64 32 (.f64 x x)) (/.f64 8 x)))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 32 (.f64 x x)) (/.f64 8 x))) (cbrt.f64 (-.f64 (/.f64 32 (.f64 x x)) (/.f64 8 x)))) (cbrt.f64 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(cbrt.f64 (.f64 (.f64 (-.f64 (/.f64 32 (.f64 x x)) (/.f64 8 x)) (-.f64 (/.f64 32 (.f64 x x)) (/.f64 8 x))) (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(pow.f64 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)) 1)
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(binary32->binary64 (-.f32 (/.f32 32 (*.f32 (binary64->binary32 x) (binary64->binary32 x))) (/.f32 8 (binary64->binary32 x))))
(-.f64 (/.f64 0 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 0 (/.f64 -1 x)) (*.f64 -1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1))
(.f64 -1 (.f64 -1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 -1 (/.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (neg.f64 x) 1))
(.f64 -2 (/.f64 (.f64 x -1/2) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1) (neg.f64 x))
(*.f64 (/.f64 1 (-.f64 1 (+.f64 x 1))) (/.f64 x (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 x (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 x (-.f64 1 (+.f64 x 1))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 -1 (-.f64 1 (+.f64 x 1))) (/.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 -1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 x -1/2)) (/.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1))
(*.f64 (/.f64 -1 (pow.f64 x -1/2)) (/.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) 1) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 1 x)) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) 1))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) -1) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (pow.f64 x -1/2)) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (pow.f64 x -1/2)))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (+.f64 x 1))) 1) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (+.f64 x 1))) (/.f64 1 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 1))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (+.f64 x 1))) -1) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x)))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (+.f64 x 1))) (pow.f64 x -1/2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (/.f64 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 x)) (/.f64 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1) (/.f64 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 x -1/2)) (/.f64 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (pow.f64 x -1/2)))
(.f64 (/.f64 (.f64 x -1/2) -1) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (.f64 x 2) -1) (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1/2) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(neg.f64 (*.f64 -1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (.f64 -1 (log.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(log.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))) (sqrt.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(*.f64 1 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))) (cbrt.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))) (cbrt.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(cbrt.f64 (.f64 (.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(pow.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)) 1)
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(binary32->binary64 (/.f32 (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))) (/.f32 1 (binary64->binary32 x))))
(-.f64 0 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1))
(-.f64 (/.f64 1 (-.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 (+.f64 x 1))))
(-.f64 (/.f64 (+.f64 1 (+.f64 x 1)) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (-.f64 1 (+.f64 x 1))))
(*.f64 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2))
(*.f64 (/.f64 1 (-.f64 1 (+.f64 x 1))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) -1)
(exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))))
(binary32->binary64 (binary64->binary32 (.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))))
(binary32->binary64 (.f32 (/.f32 (binary64->binary32 x) (+.f32 4 (.f32 -1/4 (.f32 (binary64->binary32 x) (binary64->binary32 x))))) (+.f32 2 (.f32 (binary64->binary32 x) -1/2))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 4 (.f32 -1/4 (.f32 (binary64->binary32 x) (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(binary32->binary64 (-.f32 (/.f32 32 (*.f32 (binary64->binary32 x) (binary64->binary32 x))) (/.f32 8 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 32 (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (/.f64 32 (*.f64 x x))))
(binary32->binary64 (/.f32 32 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(binary32->binary64 (/.f32 (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))) (/.f32 1 (binary64->binary32 x))))

Outputs
(*.f64 1/4 x)
(+.f64 (.f64 1/64 (pow.f64 x 3)) (.f64 1/4 x))
(fma.f64 1/64 (pow.f64 x 3) (*.f64 1/4 x))
(+.f64 (.f64 1/1024 (pow.f64 x 5)) (+.f64 (.f64 1/64 (pow.f64 x 3)) (*.f64 1/4 x)))
(fma.f64 1/1024 (pow.f64 x 5) (fma.f64 1/64 (pow.f64 x 3) (*.f64 1/4 x)))
(+.f64 (.f64 1/16384 (pow.f64 x 7)) (+.f64 (.f64 1/1024 (pow.f64 x 5)) (+.f64 (.f64 1/64 (pow.f64 x 3)) (.f64 1/4 x))))
(fma.f64 1/16384 (pow.f64 x 7) (fma.f64 1/1024 (pow.f64 x 5) (fma.f64 1/64 (pow.f64 x 3) (*.f64 1/4 x))))
(/.f64 -4 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 x)) (.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 4 x) (/.f64 64 (pow.f64 x 3))))
(-.f64 (neg.f64 (/.f64 64 (pow.f64 x 3))) (/.f64 4 x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1024 (/.f64 1 (pow.f64 x 5))) (*.f64 4 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 4 x) (/.f64 1024 (pow.f64 x 5)))))
(-.f64 (neg.f64 (/.f64 64 (pow.f64 x 3))) (+.f64 (/.f64 4 x) (/.f64 1024 (pow.f64 x 5))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1024 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 16384 (/.f64 1 (pow.f64 x 7))) (.f64 4 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 1024 (pow.f64 x 5)) (+.f64 (/.f64 4 x) (/.f64 16384 (pow.f64 x 7))))))
(-.f64 (neg.f64 (/.f64 64 (pow.f64 x 3))) (+.f64 (/.f64 1024 (pow.f64 x 5)) (+.f64 (/.f64 4 x) (/.f64 16384 (pow.f64 x 7)))))
(/.f64 -4 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 x)) (.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 4 x) (/.f64 64 (pow.f64 x 3))))
(-.f64 (neg.f64 (/.f64 64 (pow.f64 x 3))) (/.f64 4 x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1024 (/.f64 1 (pow.f64 x 5))) (*.f64 4 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 4 x) (/.f64 1024 (pow.f64 x 5)))))
(-.f64 (neg.f64 (/.f64 64 (pow.f64 x 3))) (+.f64 (/.f64 4 x) (/.f64 1024 (pow.f64 x 5))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1024 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 16384 (/.f64 1 (pow.f64 x 7))) (.f64 4 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 1024 (pow.f64 x 5)) (+.f64 (/.f64 4 x) (/.f64 16384 (pow.f64 x 7))))))
(-.f64 (neg.f64 (/.f64 64 (pow.f64 x 3))) (+.f64 (/.f64 1024 (pow.f64 x 5)) (+.f64 (/.f64 4 x) (/.f64 16384 (pow.f64 x 7)))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))
(fma.f64 x 1/2 (.f64 x (.f64 x -1/8)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 x 1/2)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 (pow.f64 x 3) 1/32 (.f64 x 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/128 (pow.f64 x 4)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (.f64 x 1/2))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) 1/32 (.f64 x 1/2))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 2 (/.f64 (+.f64 -8 (/.f64 32 x)) x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x)) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (-.f64 (/.f64 (+.f64 -8 (/.f64 32 x)) x) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
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(binary32->binary64 (binary64->binary32 (/.f64 (.f64 x (fma.f64 x -1/2 2)) (fma.f64 x (.f64 x -1/4) 4))))
(binary32->binary64 (.f32 (/.f32 (binary64->binary32 x) (+.f32 4 (.f32 -1/4 (.f32 (binary64->binary32 x) (binary64->binary32 x))))) (+.f32 2 (.f32 (binary64->binary32 x) -1/2))))
(binary32->binary64 (.f32 (/.f32 (binary64->binary32 x) (+.f32 4 (.f32 -1/4 (.f32 (binary64->binary32 x) (binary64->binary32 x))))) (+.f32 2 (.f32 -1/2 (binary64->binary32 x)))))
(binary32->binary64 (.f32 (/.f32 (binary64->binary32 x) (fma.f32 -1/4 (.f32 (binary64->binary32 x) (binary64->binary32 x)) 4)) (fma.f32 -1/2 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 x (*.f64 x -1/4) 4))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 4 (.f32 -1/4 (.f32 (binary64->binary32 x) (binary64->binary32 x))))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (fma.f32 -1/4 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) 4)))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 -8 (/.f64 32 x)) x)))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 -8 (/.f64 32 x)) x)))
(binary32->binary64 (-.f32 (/.f32 32 (*.f32 (binary64->binary32 x) (binary64->binary32 x))) (/.f32 8 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 32 (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (/.f64 32 (*.f64 x x))))
(binary32->binary64 (/.f32 32 (*.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (sqrt.f32 (+.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (binary64->binary32 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))
(binary32->binary64 (+.f32 1 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))))
(binary32->binary64 (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) x)))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) x)))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (/.f32 (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (/.f32 1 (*.f32 (/.f32 1 (binary64->binary32 x)) (+.f32 1 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (/.f32 1 (+.f32 1 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))))

eval552.0ms (8%)

Compiler: Compiled 18767 to 14543 computations (22.5% saved)

prune130.0ms (1.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	779	5	784
Fresh	0	0	0
Picked	2	2	4
Done	2	4	6
Total	783	11	794

Accuracy

100.0%

Counts

794 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.3%	(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
✓	99.5%	(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
▶	67.3%	(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
▶	97.4%	(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
✓	69.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	68.6%	(/.f64 x 2)
▶	68.4%	(/.f64 1/2 (/.f64 1 x))
✓	38.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	68.9%	(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
	4.9%	2
▶	69.3%	(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
✓	99.5%	(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
▶	67.3%	(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
▶	97.4%	(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
✓	69.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	68.6%	(/.f64 x 2)
▶	68.4%	(/.f64 1/2 (/.f64 1 x))
✓	38.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	68.9%	(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
	4.9%	2

Compiler

Compiled 200 to 162 computations (19% saved)

localize160.0ms (2.3%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	99.7%	(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
	100.0%	(/.f64 1 (+.f64 (*.f64 1/2 x) 2))
	99.7%	(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
	97.6%	(exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
	99.6%	(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
	100.0%	(log1p.f64 (sqrt.f64 (+.f64 x 1)))
	100.0%	(sqrt.f64 (+.f64 x 1))
	99.7%	(/.f64 1/2 (/.f64 1 x))
✓	100.0%	(/.f64 1 (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
✓	99.7%	(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	100.0%	(log1p.f64 (sqrt.f64 (+.f64 x 1)))
✓	99.6%	(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
✓	97.6%	(exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
✓	99.7%	(/.f64 1/2 (/.f64 1 x))

Compiler

Compiled 115 to 90 computations (21.7% saved)

series14.0ms (0.2%)

Counts

7 → 60

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
2.0ms	x	@	inf	(exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
1.0ms	x	@	0	(exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
1.0ms	x	@	inf	(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
1.0ms	x	@	-inf	(exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))

rewrite173.0ms (2.5%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

650×	`cancel-sign-sub`
452×	`associate-l`
438×	`associate-r`
428×	`frac-2neg`
418×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	147
1	129	119
2	797	113
3	7505	113

Stop Event

1×	node limit

Counts

7 → 336

Calls

Call 1

Inputs
(/.f64 1/2 (/.f64 1 x))
(exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
(/.f64 1 (+.f64 (*.f64 1/2 x) 2))

Outputs
(*.f64 1/2 x)
(.f64 1 (.f64 1/2 x))
(*.f64 x 1/2)
(.f64 -1 (.f64 x -1/2))
(.f64 (.f64 1/2 x) 1)
(.f64 2 (.f64 x 1/4))
(*.f64 -1/2 (neg.f64 x))
(*.f64 (neg.f64 x) -1/2)
(.f64 1/4 (.f64 x 2))
(.f64 (.f64 x 1/4) 2)
(*.f64 (pow.f64 (/.f64 2 x) -1/2) (pow.f64 (/.f64 2 x) -1/2))
(pow.f64 (/.f64 2 x) -1)
(neg.f64 (*.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 2 x)) -1))
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 0 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (pow.f64 (exp.f64 -1) (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)))
(.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) 1))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 (/.f64 1 (-.f64 1 (+.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 -1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 -1 (/.f64 -1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (/.f64 1 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2))))
(pow.f64 (exp.f64 -1) (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (exp.f64 -1) (.f64 2 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)))
(pow.f64 (exp.f64 -1) (+.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(pow.f64 (pow.f64 (exp.f64 -1) (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) 2)
(pow.f64 (.f64 (exp.f64 -1) (exp.f64 -1)) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2))
(neg.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 0 (/.f64 -1 x)) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 0 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 0 (/.f64 -1 x)) (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 1/2 (.f64 (*.f64 x 2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 -1 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(.f64 (.f64 1/2 x) (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 2 (.f64 (*.f64 1/2 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) x))
(.f64 (/.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) 1) (/.f64 (pow.f64 (exp.f64 -1) (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (/.f64 1 x)))
(.f64 (/.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) -1) (/.f64 (pow.f64 (exp.f64 -1) (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (/.f64 -1 x)))
(.f64 (/.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 -1) (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2)) (/.f64 1 (pow.f64 x -1/2)))
(.f64 (/.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (pow.f64 x -1/2)) (/.f64 (pow.f64 (exp.f64 -1) (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (pow.f64 x -1/2)))
(*.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1/2) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1/2))
(.f64 (.f64 1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(.f64 (.f64 x (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2))) (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2) (*.f64 x 2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 x)) 2)
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 1/2 x))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1)
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(neg.f64 (*.f64 1 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (-.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) (*.f64 -1 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(-.f64 (log.f64 (-.f64 1 (+.f64 1 x))) (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (log.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (.f64 1/2 x) (.f64 x (*.f64 x -1/8)))
(+.f64 0 (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 1/2 x))
(+.f64 (/.f64 0 (/.f64 -1 x)) (*.f64 x (fma.f64 x -1/8 1/2)))
(-.f64 0 (*.f64 (fma.f64 x -1/8 1/2) (neg.f64 x)))
(-.f64 (/.f64 0 (/.f64 -1 x)) (*.f64 (fma.f64 x -1/8 1/2) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 1/4 (+.f64 1/2 (.f64 x 1/8))) (/.f64 1 x)) (/.f64 (/.f64 (.f64 x (.f64 x 1/64)) (+.f64 1/2 (.f64 x 1/8))) (/.f64 1 x)))
(-.f64 (/.f64 1/4 (/.f64 (+.f64 1/2 (.f64 x 1/8)) x)) (/.f64 (.f64 x (.f64 x 1/64)) (/.f64 (+.f64 1/2 (.f64 x 1/8)) x)))
(.f64 1/2 (.f64 (*.f64 x 2) (fma.f64 x -1/8 1/2)))
(.f64 1 (.f64 x (fma.f64 x -1/8 1/2)))
(*.f64 x (fma.f64 x -1/8 1/2))
(.f64 -1 (.f64 (fma.f64 x -1/8 1/2) (neg.f64 x)))
(*.f64 (fma.f64 x -1/8 1/2) x)
(.f64 (.f64 x (fma.f64 x -1/8 1/2)) 1)
(.f64 (.f64 1/2 x) (*.f64 2 (fma.f64 x -1/8 1/2)))
(.f64 2 (.f64 (*.f64 1/2 x) (fma.f64 x -1/8 1/2)))
(.f64 (neg.f64 x) (+.f64 -1/2 (.f64 x 1/8)))
(.f64 (+.f64 -1/2 (.f64 x 1/8)) (neg.f64 x))
(.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) (/.f64 1 (/.f64 (+.f64 1/2 (.f64 x 1/8)) x)))
(.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) (.f64 (/.f64 1 (+.f64 1/2 (*.f64 x 1/8))) x))
(.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) (/.f64 1 (/.f64 (fma.f64 (.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4) x)))
(.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) (.f64 (/.f64 1 (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)) x))
(.f64 (.f64 x (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (/.f64 1 (+.f64 1/2 (*.f64 x 1/8))))
(.f64 (.f64 x (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (/.f64 (/.f64 1 (+.f64 1/2 (*.f64 x 1/8))) 1))
(.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/512 1/8)) (/.f64 1 (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)))
(.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/512 1/8)) (/.f64 (/.f64 1 (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)) 1))
(.f64 (/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 1) (/.f64 (/.f64 1 (+.f64 1/2 (.f64 x 1/8))) (/.f64 1 x)))
(.f64 (/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) -1) (/.f64 (/.f64 1 (+.f64 1/2 (.f64 x 1/8))) (/.f64 -1 x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) 1) (/.f64 (/.f64 1 (fma.f64 (.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)) (/.f64 1 x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) -1) (/.f64 (/.f64 1 (fma.f64 (.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)) (/.f64 -1 x)))
(*.f64 (/.f64 (fma.f64 x -1/8 1/2) (pow.f64 x -1/2)) (/.f64 1 (pow.f64 x -1/2)))
(.f64 (/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) (pow.f64 x -1/2)) (/.f64 (/.f64 1 (+.f64 1/2 (.f64 x 1/8))) (pow.f64 x -1/2)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) (pow.f64 x -1/2)) (/.f64 (/.f64 1 (fma.f64 (.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)) (pow.f64 x -1/2)))
(.f64 (pow.f64 (/.f64 1 (.f64 x (fma.f64 x -1/8 1/2))) -1/2) (pow.f64 (/.f64 1 (*.f64 x (fma.f64 x -1/8 1/2))) -1/2))
(.f64 (.f64 1 (+.f64 -1/2 (*.f64 x 1/8))) (neg.f64 x))
(.f64 (.f64 (fma.f64 x -1/8 1/2) 1/2) (*.f64 x 2))
(.f64 (.f64 (fma.f64 x -1/8 1/2) (*.f64 1/2 x)) 2)
(.f64 (.f64 (fma.f64 x -1/8 1/2) 2) (*.f64 1/2 x))
(.f64 (/.f64 (.f64 x (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (fma.f64 x -1/8 1/2))
(.f64 (/.f64 (.f64 x (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (+.f64 1/8 (.f64 1/512 (pow.f64 x 3)))) (+.f64 1/4 (.f64 x (+.f64 (*.f64 x 1/64) -1/16))))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/512 1/8)) (-.f64 1/16 (pow.f64 (.f64 x (-.f64 (.f64 x 1/64) -1/16)) 2))) (-.f64 1/4 (.f64 x (-.f64 (.f64 x 1/64) -1/16))))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/512 1/8)) (+.f64 1/64 (pow.f64 (.f64 x (-.f64 (.f64 x 1/64) -1/16)) 3))) (+.f64 1/16 (.f64 (.f64 x (-.f64 (.f64 x 1/64) -1/16)) (-.f64 (.f64 x (-.f64 (*.f64 x 1/64) -1/16)) 1/4))))
(.f64 (pow.f64 (/.f64 1 (.f64 x (+.f64 1/4 (.f64 (.f64 x x) -1/64)))) -1) (/.f64 1 (+.f64 1/2 (*.f64 x 1/8))))
(.f64 (pow.f64 (/.f64 (/.f64 1 x) (fma.f64 (pow.f64 x 3) -1/512 1/8)) -1) (/.f64 1 (fma.f64 (.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)))
(pow.f64 (/.f64 1 (*.f64 x (fma.f64 x -1/8 1/2))) -1)
(neg.f64 (*.f64 (fma.f64 x -1/8 1/2) (neg.f64 x)))
(neg.f64 (.f64 1 (.f64 (fma.f64 x -1/8 1/2) (neg.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 1 (.f64 x (fma.f64 x -1/8 1/2)))) -1))
(+.f64 0 (/.f64 x (fma.f64 1/2 x 2)))
(+.f64 (/.f64 0 (/.f64 -1 x)) (/.f64 x (fma.f64 1/2 x 2)))
(+.f64 (/.f64 0 (+.f64 (*.f64 x -1/2) -2)) (/.f64 x (fma.f64 1/2 x 2)))
(-.f64 0 (/.f64 x (+.f64 (*.f64 x -1/2) -2)))
(-.f64 (/.f64 0 (/.f64 -1 x)) (/.f64 x (+.f64 (*.f64 x -1/2) -2)))
(-.f64 (/.f64 0 (+.f64 (.f64 x -1/2) -2)) (/.f64 x (+.f64 (.f64 x -1/2) -2)))
(.f64 1/2 (.f64 (*.f64 x 2) (/.f64 1 (fma.f64 1/2 x 2))))
(*.f64 1 (/.f64 x (fma.f64 1/2 x 2)))
(*.f64 x (/.f64 1 (fma.f64 1/2 x 2)))
(.f64 -1 (/.f64 x (+.f64 (.f64 x -1/2) -2)))
(.f64 (.f64 1/2 x) (*.f64 2 (/.f64 1 (fma.f64 1/2 x 2))))
(.f64 2 (.f64 (*.f64 1/2 x) (/.f64 1 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) x)
(*.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 1/2 x 2)))
(*.f64 (/.f64 -1 (fma.f64 1/2 x 2)) (neg.f64 x))
(.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) x))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) (*.f64 x (fma.f64 1/2 x -2)))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) (/.f64 x (/.f64 1 (fma.f64 1/2 x -2))))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (.f64 x (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (/.f64 x (/.f64 1 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x))))
(.f64 (/.f64 x (+.f64 (.f64 x -1/2) -2)) -1)
(.f64 (/.f64 (.f64 1/2 x) (fma.f64 x (*.f64 x 1/4) -4)) (/.f64 2 (/.f64 1 (fma.f64 1/2 x -2))))
(.f64 (/.f64 2 (fma.f64 x (.f64 x 1/4) -4)) (/.f64 (*.f64 1/2 x) (/.f64 1 (fma.f64 1/2 x -2))))
(.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x (.f64 x 1/4) 4) x))
(.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (/.f64 1 (/.f64 1 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (fma.f64 1/2 x 2)) (pow.f64 x -1/2)))
(.f64 (/.f64 1/2 (fma.f64 1/2 x 2)) (.f64 x 2))
(.f64 (/.f64 1/2 (fma.f64 x (.f64 x 1/4) -4)) (/.f64 (*.f64 x 2) (/.f64 1 (fma.f64 1/2 x -2))))
(.f64 (/.f64 1/2 (fma.f64 1/8 (pow.f64 x 3) 8)) (/.f64 (.f64 x 2) (/.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x))))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/4) -4)) (fma.f64 1/2 x -2))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/4) -4)) (/.f64 1 (/.f64 1 (fma.f64 1/2 x -2))))
(.f64 (/.f64 -1 (fma.f64 x (.f64 x 1/4) -4)) (/.f64 (neg.f64 x) (/.f64 1 (fma.f64 1/2 x -2))))
(.f64 (/.f64 -1 (fma.f64 1/8 (pow.f64 x 3) 8)) (/.f64 (neg.f64 x) (/.f64 1 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x))))
(.f64 (/.f64 (.f64 1/2 x) (fma.f64 1/2 x 2)) 2)
(.f64 (/.f64 (.f64 1/2 x) (fma.f64 1/8 (pow.f64 x 3) 8)) (/.f64 2 (/.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x))))
(.f64 (/.f64 2 (fma.f64 1/2 x 2)) (.f64 1/2 x))
(.f64 (/.f64 2 (fma.f64 1/8 (pow.f64 x 3) 8)) (/.f64 (.f64 1/2 x) (/.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 1/2 x 2)) (pow.f64 x -1/2)) (/.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 -1 (pow.f64 x -1/2)) (/.f64 (/.f64 -1 (fma.f64 1/2 x 2)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) 1) (/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (/.f64 1 x)) (/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) 1))
(*.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) -1) (/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (/.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (pow.f64 x -1/2)) (/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (pow.f64 x -1/2)))
(.f64 (/.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) 1) (*.f64 x (fma.f64 1/2 x -2)))
(.f64 (/.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) (/.f64 1 x)) (fma.f64 1/2 x -2))
(.f64 (/.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) -1) (/.f64 (fma.f64 1/2 x -2) (/.f64 -1 x)))
(.f64 (/.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) (pow.f64 x -1/2)) (/.f64 (fma.f64 1/2 x -2) (pow.f64 x -1/2)))
(.f64 (/.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) 1) (.f64 x (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)))
(.f64 (/.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (/.f64 1 x)) (/.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) 1))
(.f64 (/.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) -1) (/.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (/.f64 -1 x)))
(.f64 (/.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (pow.f64 x -1/2)) (/.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (pow.f64 x -1/2)))
(*.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1/2) (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1/2))
(.f64 (.f64 x (pow.f64 (fma.f64 1/2 x 2) -1/2)) (pow.f64 (fma.f64 1/2 x 2) -1/2))
(.f64 (.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/4) -4))) (fma.f64 1/2 x -2))
(.f64 (.f64 x (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8))) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 x 2)) 1/2) (*.f64 x 2))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 x 2)) (*.f64 1/2 x)) 2)
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 x 2)) 2) (*.f64 1/2 x))
(.f64 (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 1/4) -4))) (*.f64 (neg.f64 x) (fma.f64 1/2 x -2)))
(.f64 (/.f64 1 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) 8))) (.f64 (neg.f64 x) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)))
(.f64 (/.f64 1 (/.f64 (fma.f64 x (.f64 x 1/4) -4) x)) (fma.f64 1/2 x -2))
(.f64 (/.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) x)) (-.f64 (fma.f64 x (.f64 x 1/4) 4) x))
(.f64 (/.f64 x (neg.f64 (fma.f64 x (.f64 x 1/4) -4))) (+.f64 (*.f64 x -1/2) 2))
(.f64 (/.f64 x (neg.f64 (fma.f64 1/8 (pow.f64 x 3) 8))) (neg.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x)))
(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 x (.f64 x 1/4) -4))) (fma.f64 1/2 x -2))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 1/8 (pow.f64 x 3) 8))) (-.f64 (fma.f64 x (.f64 x 1/4) 4) x))
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1)
(neg.f64 (/.f64 x (+.f64 (*.f64 x -1/2) -2)))
(exp.f64 (-.f64 (.f64 -1 (log.f64 (fma.f64 1/2 x 2))) (.f64 -1 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1))
(+.f64 0 (/.f64 1 (fma.f64 1/2 x 2)))
(+.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) (.f64 1/2 x)) (.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/4) -4)) -2))
(+.f64 (.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (.f64 x (.f64 x 1/4))) (.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 4 x)))
(+.f64 (.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 4 x)) (.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (.f64 x (.f64 x 1/4))))
(+.f64 (.f64 (.f64 1/2 x) (/.f64 1 (fma.f64 x (.f64 x 1/4) -4))) (.f64 -2 (/.f64 1 (fma.f64 x (*.f64 x 1/4) -4))))
(+.f64 (.f64 (.f64 x (.f64 x 1/4)) (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8))) (.f64 (-.f64 4 x) (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8))))
(+.f64 (.f64 (-.f64 4 x) (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8))) (.f64 (.f64 x (.f64 x 1/4)) (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8))))
(-.f64 0 (/.f64 -1 (fma.f64 1/2 x 2)))
(-.f64 (/.f64 (.f64 1/2 x) (fma.f64 x (.f64 x 1/4) -4)) (/.f64 2 (fma.f64 x (*.f64 x 1/4) -4)))
(-.f64 (/.f64 (fma.f64 x (*.f64 x 1/4) 4) (fma.f64 1/8 (pow.f64 x 3) 8)) (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)))
(*.f64 1 (/.f64 1 (fma.f64 1/2 x 2)))
(*.f64 -1 (/.f64 -1 (fma.f64 1/2 x 2)))
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) 1)
(*.f64 (/.f64 -1 (fma.f64 1/2 x 2)) -1)
(.f64 (fma.f64 1/2 x -2) (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)))
(.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)))
(*.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (pow.f64 (fma.f64 1/2 x 2) -1/2))
(.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) 1))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) (fma.f64 1/2 x -2))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) (pow.f64 (/.f64 1 (fma.f64 1/2 x -2)) -1))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x (.f64 x 1/4) 4) x))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x)) -1))
(.f64 (.f64 1 (pow.f64 (fma.f64 1/2 x 2) -1/2)) (pow.f64 (fma.f64 1/2 x 2) -1/2))
(.f64 (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 1/4) -4))) (+.f64 (*.f64 x -1/2) 2))
(.f64 (/.f64 1 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) 8))) (neg.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x)))
(.f64 (/.f64 (fma.f64 1/2 x -2) (+.f64 (.f64 (pow.f64 x 4) 1/16) -16)) (fma.f64 x (*.f64 x 1/4) 4))
(.f64 (/.f64 (fma.f64 1/2 x -2) (+.f64 (.f64 1/64 (pow.f64 x 6)) -64)) (+.f64 (.f64 (pow.f64 x 4) 1/16) (+.f64 (.f64 x x) 16)))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
(.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (+.f64 (*.f64 1/64 (pow.f64 x 6)) -64)) (fma.f64 1/8 (pow.f64 x 3) -8))
(.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (+.f64 (.f64 (pow.f64 x 9) 1/512) 512)) (+.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 64 (pow.f64 x 3))))
(pow.f64 (fma.f64 1/2 x 2) -1)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) 2)
(pow.f64 (*.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 2)) -1/2)
(pow.f64 (exp.f64 (log.f64 (fma.f64 1/2 x 2))) -1)
(neg.f64 (/.f64 -1 (fma.f64 1/2 x 2)))
(exp.f64 (*.f64 -1 (log.f64 (fma.f64 1/2 x 2))))

Calls

22 calls:

1.0ms	(/.f64 1/2 (/.f64 1 x))
0.0ms	(/.f64 1/2 (/.f64 1 x))
0.0ms	(exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
0.0ms	(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
0.0ms	(/.f64 1 (+.f64 (*.f64 1/2 x) 2))

simplify200.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1180×	`div-sub`
901×	`*-commutative`
878×	`associate-/l*`
722×	`fma-def`
684×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	800	10654
1	2095	9528
2	6951	9528

Stop Event

1×	node limit

Counts

396 → 479

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -3/32 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -3/32 (pow.f64 x 2)) (+.f64 (.f64 5/96 (pow.f64 x 3)) (*.f64 1/4 x))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/128 (pow.f64 x 4)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
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2
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1/2
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(binary32->binary64 (exp.f32 (*.f32 -1 (log1p.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))))
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(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
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(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2) (*.f64 x 2))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 x)) 2)
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 1/2 x))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1)
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(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (binary64->binary32 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (log1p.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))))
(binary32->binary64 (/.f32 (exp.f32 (*.f32 -1 (log1p.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(binary32->binary64 (exp.f32 (*.f32 -1 (log1p.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))))
(binary32->binary64 (/.f32 (+.f32 1/2 (*.f32 (binary64->binary32 x) -1/8)) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (/.f32 1 (+.f32 (*.f32 1/2 (binary64->binary32 x)) 2)))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))))
(binary32->binary64 (/.f32 (/.f32 1 (+.f32 (*.f32 1/2 (binary64->binary32 x)) 2)) (/.f32 1 (binary64->binary32 x))))

Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(fma.f64 x -1/8 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 -1/8 x (.f64 1/16 (.f64 x x))))
(+.f64 (.f64 1/16 (.f64 x x)) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 -1/8 x (fma.f64 -5/128 (pow.f64 x 3) (.f64 1/16 (.f64 x x)))))
(+.f64 (fma.f64 1/16 (.f64 x x) (.f64 -5/128 (pow.f64 x 3))) (fma.f64 x -1/8 1/2))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x)))
(+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x))))
(+.f64 (fma.f64 -5/128 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 3))) (.f64 x (fma.f64 x -1/8 1/2)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 x))
(+.f64 (log.f64 2) (*.f64 x 1/4))
(fma.f64 x 1/4 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -3/32 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 (log.f64 2) (fma.f64 -3/32 (.f64 x x) (.f64 x 1/4)))
(+.f64 (log.f64 2) (fma.f64 (.f64 x x) -3/32 (.f64 x 1/4)))
(+.f64 (log.f64 2) (+.f64 (.f64 -3/32 (pow.f64 x 2)) (+.f64 (.f64 5/96 (pow.f64 x 3)) (*.f64 1/4 x))))
(+.f64 (log.f64 2) (fma.f64 -3/32 (.f64 x x) (fma.f64 5/96 (pow.f64 x 3) (.f64 x 1/4))))
(+.f64 (log.f64 2) (fma.f64 (.f64 x x) -3/32 (fma.f64 (pow.f64 x 3) 5/96 (.f64 x 1/4))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(.f64 -1/8 (.f64 x x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(.f64 -1/8 (.f64 x x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(+.f64 (.f64 (pow.f64 x 3) 1/32) (.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/128 (pow.f64 x 4)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/128 (.f64 (pow.f64 x 3) 1/32)) (.f64 x (fma.f64 x -1/8 1/2)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 32 (*.f64 x x)) (-.f64 2 (/.f64 8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (-.f64 2 (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 32 (*.f64 x x)) (-.f64 2 (/.f64 8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (-.f64 2 (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(fma.f64 x -1/8 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (.f64 1/32 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 -1/8 x (.f64 (.f64 x x) 1/32)))
(+.f64 (.f64 (.f64 x x) 1/32) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (+.f64 (.f64 -1/128 (pow.f64 x 3)) (*.f64 1/32 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 -1/8 x (fma.f64 -1/128 (pow.f64 x 3) (.f64 (.f64 x x) 1/32))))
(+.f64 (fma.f64 (.f64 x x) 1/32 (.f64 (pow.f64 x 3) -1/128)) (fma.f64 x -1/8 1/2))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -8 (*.f64 x x)))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (/.f64 8 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -8 (*.f64 x x))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 2 x) (/.f64 128 (pow.f64 x 4))) (/.f64 -8 (*.f64 x x))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -8 (*.f64 x x)))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (/.f64 8 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -8 (*.f64 x x))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 2 x) (/.f64 128 (pow.f64 x 4))) (/.f64 -8 (*.f64 x x))))
(*.f64 1/2 x)
(.f64 1 (.f64 1/2 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(.f64 -1 (.f64 x -1/2))
(*.f64 1/2 x)
(.f64 (.f64 1/2 x) 1)
(*.f64 1/2 x)
(.f64 2 (.f64 x 1/4))
(*.f64 1/2 x)
(*.f64 -1/2 (neg.f64 x))
(*.f64 1/2 x)
(*.f64 (neg.f64 x) -1/2)
(*.f64 1/2 x)
(.f64 1/4 (.f64 x 2))
(*.f64 1/2 x)
(.f64 (.f64 x 1/4) 2)
(*.f64 1/2 x)
(*.f64 (pow.f64 (/.f64 2 x) -1/2) (pow.f64 (/.f64 2 x) -1/2))
(*.f64 1/2 x)
(pow.f64 (/.f64 2 x) -1)
(*.f64 1/2 x)
(neg.f64 (*.f64 x -1/2))
(*.f64 1/2 x)
(exp.f64 (*.f64 (log.f64 (/.f64 2 x)) -1))
(*.f64 1/2 x)
(exp.f64 (log.f64 (/.f64 1/2 (/.f64 1 x))))
(*.f64 1/2 x)
(log.f64 (exp.f64 (/.f64 1/2 (/.f64 1 x))))
(*.f64 1/2 x)
(*.f64 (sqrt.f64 (/.f64 1/2 (/.f64 1 x))) (sqrt.f64 (/.f64 1/2 (/.f64 1 x))))
(*.f64 1/2 x)
(log1p.f64 (expm1.f64 (/.f64 1/2 (/.f64 1 x))))
(*.f64 1/2 x)
(expm1.f64 (log1p.f64 (/.f64 1/2 (/.f64 1 x))))
(*.f64 1/2 x)
(*.f64 1 (/.f64 1/2 (/.f64 1 x)))
(*.f64 1/2 x)
(.f64 (.f64 (cbrt.f64 (/.f64 1/2 (/.f64 1 x))) (cbrt.f64 (/.f64 1/2 (/.f64 1 x)))) (cbrt.f64 (/.f64 1/2 (/.f64 1 x))))
(*.f64 1/2 x)
(cbrt.f64 (.f64 (.f64 (/.f64 1/2 (/.f64 1 x)) (/.f64 1/2 (/.f64 1 x))) (/.f64 1/2 (/.f64 1 x))))
(cbrt.f64 (.f64 (.f64 1/2 x) (.f64 (.f64 1/2 x) (*.f64 1/2 x))))
(cbrt.f64 (pow.f64 (*.f64 1/2 x) 3))
(pow.f64 (/.f64 1/2 (/.f64 1 x)) 1)
(*.f64 1/2 x)
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 x)))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 x)))
(binary32->binary64 (/.f32 1/2 (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (*.f32 1/2 (binary64->binary32 x)))
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (pow.f64 (exp.f64 -1) (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) 1))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (-.f64 1 (+.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (/.f64 -1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) (/.f64 1 (pow.f64 (exp.f64 -1) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (exp.f64 -1) (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (exp.f64 -1) (.f64 2 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (exp.f64 -1) (+.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (exp.f64 -1) (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2)) 2)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (.f64 (exp.f64 -1) (exp.f64 -1)) (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1/2))
(pow.f64 (exp.f64 -2) (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (log.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (sqrt.f64 (exp.f64 (.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 (fma.f64 1/2 x -2) (fma.f64 x (*.f64 x 1/4) -4))
(-.f64 (/.f64 (fma.f64 x (*.f64 x 1/4) 4) (fma.f64 1/8 (pow.f64 x 3) 8)) (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (+.f64 (.f64 x (*.f64 x 1/4)) (-.f64 4 x)))
(/.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x) (fma.f64 1/8 (pow.f64 x 3) 8))
(*.f64 1 (/.f64 1 (fma.f64 1/2 x 2)))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 -1 (/.f64 -1 (fma.f64 1/2 x 2)))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) 1)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 -1 (fma.f64 1/2 x 2)) -1)
(/.f64 1 (fma.f64 1/2 x 2))
(.f64 (fma.f64 1/2 x -2) (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)))
(/.f64 (fma.f64 1/2 x -2) (fma.f64 x (*.f64 x 1/4) -4))
(.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (+.f64 (.f64 x (*.f64 x 1/4)) (-.f64 4 x)))
(/.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x) (fma.f64 1/8 (pow.f64 x 3) 8))
(*.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (pow.f64 (fma.f64 1/2 x 2) -1/2))
(/.f64 1 (fma.f64 1/2 x 2))
(.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) 1))
(/.f64 1 (fma.f64 1/2 x 2))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) (fma.f64 1/2 x -2))
(/.f64 (fma.f64 1/2 x -2) (fma.f64 x (*.f64 x 1/4) -4))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 1/4) -4)) (pow.f64 (/.f64 1 (fma.f64 1/2 x -2)) -1))
(/.f64 (fma.f64 1/2 x -2) (fma.f64 x (*.f64 x 1/4) -4))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 x (.f64 x 1/4) 4) x))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (+.f64 (.f64 x (*.f64 x 1/4)) (-.f64 4 x)))
(/.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x) (fma.f64 1/8 (pow.f64 x 3) 8))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x)) -1))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 x 3) 8)) (+.f64 (.f64 x (*.f64 x 1/4)) (-.f64 4 x)))
(/.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x) (fma.f64 1/8 (pow.f64 x 3) 8))
(.f64 (.f64 1 (pow.f64 (fma.f64 1/2 x 2) -1/2)) (pow.f64 (fma.f64 1/2 x 2) -1/2))
(/.f64 1 (fma.f64 1/2 x 2))
(.f64 (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 1/4) -4))) (+.f64 (*.f64 x -1/2) 2))
(.f64 (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 1/4) -4))) (fma.f64 x -1/2 2))
(/.f64 (fma.f64 x -1/2 2) (neg.f64 (fma.f64 x (*.f64 x 1/4) -4)))
(.f64 (/.f64 1 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) 8))) (neg.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x)))
(/.f64 (+.f64 (neg.f64 (fma.f64 x (*.f64 x 1/4) 4)) x) (neg.f64 (fma.f64 1/8 (pow.f64 x 3) 8)))
(.f64 (/.f64 (fma.f64 1/2 x -2) (+.f64 (.f64 (pow.f64 x 4) 1/16) -16)) (fma.f64 x (*.f64 x 1/4) 4))
(.f64 (fma.f64 x (.f64 x 1/4) 4) (/.f64 (fma.f64 1/2 x -2) (fma.f64 (pow.f64 x 4) 1/16 -16)))
(/.f64 (.f64 (fma.f64 1/2 x -2) (fma.f64 x (.f64 x 1/4) 4)) (fma.f64 1/16 (pow.f64 x 4) -16))
(.f64 (/.f64 (fma.f64 1/2 x -2) (+.f64 (.f64 1/64 (pow.f64 x 6)) -64)) (+.f64 (.f64 (pow.f64 x 4) 1/16) (+.f64 (.f64 x x) 16)))
(*.f64 (/.f64 (fma.f64 1/2 x -2) (fma.f64 1/64 (pow.f64 x 6) -64)) (fma.f64 (pow.f64 x 4) 1/16 (fma.f64 x x 16)))
(/.f64 (*.f64 (fma.f64 1/2 x -2) (fma.f64 1/16 (pow.f64 x 4) (fma.f64 x x 16))) (fma.f64 1/64 (pow.f64 x 6) -64))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
(.f64 (fma.f64 x -1/2 2) (/.f64 1 (+.f64 4 (.f64 (*.f64 -1/4 x) x))))
(/.f64 (fma.f64 x -1/2 2) (fma.f64 (*.f64 x -1/4) x 4))
(.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (+.f64 (*.f64 1/64 (pow.f64 x 6)) -64)) (fma.f64 1/8 (pow.f64 x 3) -8))
(/.f64 (.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (fma.f64 1/8 (pow.f64 x 3) -8)) (fma.f64 1/64 (pow.f64 x 6) -64))
(/.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x) (/.f64 (fma.f64 1/64 (pow.f64 x 6) -64) (fma.f64 1/8 (pow.f64 x 3) -8)))
(.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (+.f64 (.f64 (pow.f64 x 9) 1/512) 512)) (+.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 64 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (fma.f64 (pow.f64 x 9) 1/512 512)) (fma.f64 1/64 (pow.f64 x 6) (-.f64 64 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x 1/4) 4) x) (fma.f64 1/512 (pow.f64 x 9) 512)) (-.f64 (fma.f64 1/64 (pow.f64 x 6) 64) (pow.f64 x 3)))
(pow.f64 (fma.f64 1/2 x 2) -1)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) 2)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (*.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 2)) -1/2)
(pow.f64 (exp.f64 (log.f64 (fma.f64 1/2 x 2))) -1)
(/.f64 1 (fma.f64 1/2 x 2))
(neg.f64 (/.f64 -1 (fma.f64 1/2 x 2)))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (*.f64 -1 (log.f64 (fma.f64 1/2 x 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(.f64 1 (/.f64 1 (+.f64 (.f64 1/2 x) 2)))
(/.f64 1 (fma.f64 1/2 x 2))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2))) (cbrt.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)))) (cbrt.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(cbrt.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) (/.f64 1 (+.f64 (.f64 1/2 x) 2))) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(cbrt.f64 (*.f64 (/.f64 1 (fma.f64 1/2 x 2)) (/.f64 (/.f64 1 (fma.f64 1/2 x 2)) (fma.f64 1/2 x 2))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x 2)) 3))
(pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1)
(/.f64 1 (fma.f64 1/2 x 2))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (fma.f64 1/2 x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (fma.f64 1/2 x 2))))
(binary32->binary64 (/.f32 1 (+.f32 (*.f32 1/2 (binary64->binary32 x)) 2)))
(binary32->binary64 (/.f32 1 (fma.f32 1/2 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 x)))
(binary32->binary64 (binary64->binary32 (/.f64 1/2 (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 1/2 x)))
(binary32->binary64 (/.f32 1/2 (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (*.f32 1/2 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (binary64->binary32 (sqrt.f64 (+.f64 x 1))))
(binary32->binary64 (sqrt.f32 (+.f32 (binary64->binary32 x) 1)))
(binary32->binary64 (sqrt.f32 (+.f32 1 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(binary32->binary64 (log1p.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))
(binary32->binary64 (log1p.f32 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 x (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (binary64->binary32 (/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 x (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (/.f32 (exp.f32 (*.f32 -1 (log1p.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (/.f32 (exp.f32 (neg.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (exp.f32 (neg.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (binary64->binary32 x))))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(binary32->binary64 (exp.f32 (*.f32 -1 (log1p.f32 (sqrt.f32 (+.f32 (binary64->binary32 x) 1))))))
(binary32->binary64 (exp.f32 (neg.f32 (log1p.f32 (sqrt.f32 (+.f32 1 (binary64->binary32 x)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (fma.f64 x -1/8 1/2) 1) x)))
(binary32->binary64 (binary64->binary32 (*.f64 x (fma.f64 x -1/8 1/2))))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (fma.f64 x -1/8 1/2) 1) x)))
(binary32->binary64 (binary64->binary32 (*.f64 x (fma.f64 x -1/8 1/2))))
(binary32->binary64 (/.f32 (+.f32 1/2 (*.f32 (binary64->binary32 x) -1/8)) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (/.f32 (+.f32 1/2 (*.f32 -1/8 (binary64->binary32 x))) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (fma.f32 -1/8 (binary64->binary32 x) 1/2)))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (fma.f64 1/2 x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (fma.f64 1/2 x 2))))
(binary32->binary64 (/.f32 1 (+.f32 (*.f32 1/2 (binary64->binary32 x)) 2)))
(binary32->binary64 (/.f32 1 (fma.f32 1/2 (binary64->binary32 x) 2)))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 1/2 x 2))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 1/2 x 2))))
(binary32->binary64 (/.f32 (/.f32 1 (+.f32 (*.f32 1/2 (binary64->binary32 x)) 2)) (/.f32 1 (binary64->binary32 x))))
(binary32->binary64 (/.f32 1 (*.f32 (/.f32 1 (binary64->binary32 x)) (fma.f32 1/2 (binary64->binary32 x) 2))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (/.f32 1 (fma.f32 1/2 (binary64->binary32 x) 2))))

eval223.0ms (3.2%)

Compiler: Compiled 9375 to 7443 computations (20.6% saved)

prune84.0ms (1.2%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	556	2	558
Fresh	0	1	1
Picked	0	4	4
Done	0	6	6
Total	556	13	569

Accuracy

100.0%

Counts

569 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.9%	(/.f64 (/.f64 2 x) (/.f64 1 x))
✓	69.3%	(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
✓	99.5%	(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
✓	67.3%	(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
✓	97.4%	(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
✓	69.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	68.6%	(/.f64 x 2)
✓	68.4%	(/.f64 1/2 (/.f64 1 x))
✓	38.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	68.9%	(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
	67.5%	(.f64 (+.f64 -1/2 (.f64 x 1/8)) (neg.f64 x))
	4.9%	2

Compiler

Compiled 265 to 206 computations (22.3% saved)

regimes33.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 1/2 (/.f64 1 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 (/.f64 2 x) (/.f64 1 x))
(.f64 (+.f64 -1/2 (.f64 x 1/8)) (neg.f64 x))
(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))

Outputs
(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))

Calls

2 calls:

9.0ms	x
9.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 159 to 120 computations (24.5% saved)

regimes23.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 1/2 (/.f64 1 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 (/.f64 2 x) (/.f64 1 x))
(.f64 (+.f64 -1/2 (.f64 x 1/8)) (neg.f64 x))
(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (exp.f64 (*.f64 -1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Calls

2 calls:

9.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
8.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 145 to 109 computations (24.8% saved)

regimes17.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

Inputs
2
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 1/2 (/.f64 1 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 (/.f64 2 x) (/.f64 1 x))
(.f64 (+.f64 -1/2 (.f64 x 1/8)) (neg.f64 x))
(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

Outputs
(.f64 (+.f64 -1/2 (.f64 x 1/8)) (neg.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 91 to 68 computations (25.3% saved)

regimes10.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 1/2 (/.f64 1 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 (/.f64 2 x) (/.f64 1 x))
(.f64 (+.f64 -1/2 (.f64 x 1/8)) (neg.f64 x))
(/.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 1 x))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(/.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) (/.f64 1 x))
(.f64 (/.f64 x (+.f64 4 (.f64 -1/4 (.f64 x x)))) (+.f64 2 (.f64 x -1/2)))

Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
69.5%	1	`x`

Compiler

Compiled 85 to 63 computations (25.9% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 1/2 (/.f64 1 x))

Outputs
(/.f64 x 2)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
68.6%	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
2

Outputs
2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.9%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.0311569883231327e-9	0.0008753783682301439

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 175 to 145 computations (17.1% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
22×	`*-commutative`
12×	`neg-mul-1`
12×	`neg-sub0`
8×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	138
1	51	138
2	58	138
3	68	138
4	82	138
5	89	138
6	93	138
7	94	138

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6611313076017503/1180591620717411303424) (.f64 (+.f64 -1/2 (.f64 x 1/8)) (neg.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2

Outputs
(/.f64 x (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6611313076017503/1180591620717411303424) (.f64 (+.f64 -1/2 (.f64 x 1/8)) (neg.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 6611313076017503/1180591620717411303424) (.f64 x (neg.f64 (+.f64 -1/2 (.f64 x 1/8)))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 6611313076017503/1180591620717411303424) (.f64 x (-.f64 (neg.f64 -1/2) (.f64 x 1/8))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2

Compiler

Compiled 57 to 45 computations (21.1% saved)

soundness1.4s (19.9%)

Rules

1964×	`div-sub`
1964×	`div-sub`
1638×	`frac-2neg`
1638×	`frac-2neg`
1430×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	48	51
2	306	49
3	3434	49
0	667	12052
1	1683	10908
2	7541	10908
0	19	139
1	91	91
2	522	75
3	5418	75
0	913	16978
1	2926	14614
0	24	147
1	129	119
2	797	113
3	7505	113
0	667	12052
1	1683	10908
2	7541	10908
0	19	139
1	91	91
2	522	75
3	5418	75
0	9	51
1	48	51
2	306	49
3	3434	49

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1264 to 1043 computations (17.5% saved)

end0.0ms (0%)

preprocess54.0ms (0.8%)

Compiler: Compiled 122 to 94 computations (23% saved)

analyze1.0ms (0%)

sample803.0ms (11.6%)

preprocess71.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize50.0ms (0.7%)

series7.0ms (0.1%)

rewrite213.0ms (3.1%)

simplify193.0ms (2.8%)

eval212.0ms (3.1%)

prune60.0ms (0.9%)

localize788.0ms (11.4%)

series12.0ms (0.2%)

rewrite247.0ms (3.6%)

simplify252.0ms (3.7%)

eval344.0ms (5%)

prune96.0ms (1.4%)

localize138.0ms (2%)

series6.0ms (0.1%)

rewrite127.0ms (1.8%)

simplify194.0ms (2.8%)

eval552.0ms (8%)

prune130.0ms (1.9%)

localize160.0ms (2.3%)

series14.0ms (0.2%)

rewrite173.0ms (2.5%)

simplify200.0ms (2.9%)

eval223.0ms (3.2%)

prune84.0ms (1.2%)

regimes33.0ms (0.5%)

regimes23.0ms (0.3%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch24.0ms (0.3%)

simplify14.0ms (0.2%)

soundness1.4s (19.9%)

end0.0ms (0%)

preprocess54.0ms (0.8%)

Profiling