Metrics for Hyperbolic arc-(co)secant

analyze3.0ms (0.1%)

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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (31.8%)

Results

992.0ms	8256×	body	256	valid
1.0ms	13×	body	256	invalid

Bogosity

preprocess174.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1654×	`fma-def`
1242×	`sub-neg`
1138×	`distribute-lft-out`
842×	`associate-+r+`
722×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	125
1	39	121
2	61	121
3	119	121
4	174	121
5	256	121
6	382	121
7	656	121
8	1268	121
9	2148	121
10	4774	121
11	6496	121
12	7274	121
13	7572	121
14	7628	121
15	7660	121
16	7937	121

Stop Event

1×	node limit

Calls

Call 1

Inputs

(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize61.0ms (1.9%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite95.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`log-prod`
848×	`fma-def`
812×	`pow-prod-down`
616×	`pow-exp`
572×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	246	75
2	3586	75

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

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

simplify111.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

992×	`unswap-sqr`
562×	`div-sub`
530×	`fma-def`
494×	`cancel-sign-sub-inv`
422×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	474	8205
1	1203	7663
2	3967	7541

Stop Event

1×	node limit

Counts

209 → 340

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(-.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(.f64 1 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))
(.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 1)
(.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x))
(*.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (pow.f64 x -2))
(.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x)))))
(.f64 (-.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (.f64 x x))) (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (*.f64 x x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (*.f64 x (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (fma.f64 -1 x (.f64 x (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (.f64 x (neg.f64 x)))
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(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1 x)) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (+.f64 (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))) (sqrt.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))) (sqrt.f64 -1)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x (*.f64 x (sqrt.f64 -1))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(*.f64 (neg.f64 x) (sqrt.f64 -1))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (.f64 (neg.f64 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (/.f64 -1/2 (.f64 x (sqrt.f64 -1))) (.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))))
(-.f64 (fma.f64 -1 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(fma.f64 (neg.f64 x) (sqrt.f64 -1) (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (/.f64 1/16 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(-.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (+.f64 (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 -1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 -1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (-.f64 (-.f64 (/.f64 1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))) (sqrt.f64 -1)) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 4)))) (sqrt.f64 -1)) (-.f64 (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))) 1)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(.f64 x (/.f64 (.f64 (+.f64 (+.f64 (*.f64 x x) -1) 1) (pow.f64 x -2)) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(.f64 x (/.f64 (.f64 (+.f64 (+.f64 -1 (.f64 x x)) 1) (pow.f64 x -2)) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 1 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 1)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)))
(.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 2)))
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(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 1) 1))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 3))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -3)) 1/3))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) 3) 1/3))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) 2))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

eval439.0ms (13.9%)

Compiler: Compiled 6955 to 4859 computations (30.1% saved)

prune48.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	337	3	340
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	337	4	341

Accuracy

100.0%

Counts

341 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	98.8%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.5%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	98.8%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.5%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 84 to 64 computations (23.8% saved)

localize121.0ms (3.8%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
✓	100.0%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	100.0%	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))

Compiler

Compiled 90 to 59 computations (34.4% saved)

series4.0ms (0.1%)

Counts

4 → 39

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
1.0ms	x	@	inf	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	0	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
0.0ms	x	@	-inf	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	inf	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))

rewrite99.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`log-prod`
1192×	`fma-def`
624×	`expm1-udef`
620×	`log1p-udef`
464×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	86
1	372	86
2	4997	86

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)

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

simplify104.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1796×	`times-frac`
566×	`associate-+r+`
362×	`fma-neg`
360×	`sub-neg`
350×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	6693
1	1143	6351
2	3792	6185

Stop Event

1×	node limit

Counts

199 → 327

Calls

Call 1

Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 x (sqrt.f64 -1)))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(+.f64 1 (.f64 -1 (.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 1 (.f64 -1 (.f64 x (sqrt.f64 -1)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))) (/.f64 (*.f64 4 (pow.f64 x -2)) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (.f64 x x) 1/4))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 4 (pow.f64 x -2))) (/.f64 1 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4)) (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 -1/2 (.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2))) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (neg.f64 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(/.f64 (-.f64 (.f64 4 (pow.f64 x -2)) (.f64 (.f64 x x) 1/4)) (-.f64 (/.f64 2 x) (.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (.f64 4 (pow.f64 x -2))) (.f64 -1/2 x))
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 x -2))) (cbrt.f64 (/.f64 2 x)) (.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) 2) (.f64 -1/2 x))
(fma.f64 (cbrt.f64 (.f64 -1/2 x)) (cbrt.f64 (.f64 (*.f64 x x) 1/4)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) 2) (.f64 -1/2 x))
(fma.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (.f64 -1/2 x))
(fma.f64 (.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (.f64 -1/2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(+.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4)))))
(+.f64 (log.f64 (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (log.f64 (/.f64 1 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (log.f64 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (/.f64 (fma.f64 x (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (*.f64 x x)))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (+.f64 (fma.f64 x (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))) (neg.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))))
(pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(fma.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1/2) 1)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 x)))
(.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (/.f64 1 x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (cbrt.f64 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))

Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (.f64 -1/4 (.f64 x x))))
(+.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 x (.f64 x -1/4)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (.f64 -1/192 (pow.f64 x 6)))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 6) (.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (log.f64 -1/2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))) (/.f64 -64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))) (/.f64 -64/3 (pow.f64 x 6))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/8)))
(+.f64 (fma.f64 -1/2 (.f64 x x) 2) (.f64 (pow.f64 x 4) -1/8))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/16))))
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(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (.f64 x x))) 1)
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (.f64 x x))) 1)
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) 1)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))) 1)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)))
(.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (/.f64 1 x)))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2) (/.f64 1 x))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2) x)
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) x)
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (/.f64 1 (neg.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (sqrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) x))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2) (/.f64 1 x))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2) x)
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) x)
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 3)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 3) 1/3)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 2))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 3))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) (/.f64 (pow.f64 x -2) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) (pow.f64 x 3)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)

eval475.0ms (15%)

Compiler: Compiled 7023 to 5197 computations (26% saved)

prune54.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	410	0	410
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	410	4	414

Accuracy

100.0%

Counts

414 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	98.8%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 81 to 60 computations (25.9% saved)

regimes16.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Calls

3 calls:

7.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
100.0%	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 68 to 48 computations (29.4% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))

Outputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Outputs
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))

Outputs
(log.f64 (/.f64 2 x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	112
1	35	112
2	42	112
3	46	112
4	48	112

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(log.f64 (/.f64 2 x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

soundness252.0ms (8%)

Rules

1138×	`log-prod`
992×	`unswap-sqr`
848×	`fma-def`
812×	`pow-prod-down`
616×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	246	75
2	3586	75
0	474	8205
1	1203	7663
2	3967	7541

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 319 to 231 computations (27.6% saved)

end0.0ms (0%)

preprocess76.0ms (2.4%)

Compiler: Compiled 106 to 76 computations (28.3% saved)

analyze3.0ms (0.1%)

sample1.0s (31.8%)

preprocess174.0ms (5.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize61.0ms (1.9%)

series3.0ms (0.1%)

rewrite95.0ms (3%)

simplify111.0ms (3.5%)

eval439.0ms (13.9%)

prune48.0ms (1.5%)

localize121.0ms (3.8%)

series4.0ms (0.1%)

rewrite99.0ms (3.1%)

simplify104.0ms (3.3%)

eval475.0ms (15%)

prune54.0ms (1.7%)

regimes16.0ms (0.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify8.0ms (0.3%)

soundness252.0ms (8%)

end0.0ms (0%)

preprocess76.0ms (2.4%)

Profiling