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)

sample1.1s (18.1%)

Results

1.1s	8256×	body	256	valid
2.0ms	20×	body	256	invalid

Bogosity

preprocess287.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

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

Problems

256×

No Errors

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 68 to 40 computations (41.2% 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)

localize59.0ms (1%)

Localize:

Found 3 expressions with local error:

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

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

rewrite98.0ms (1.6%)

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

simplify112.0ms (1.9%)

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	3965	7541

Stop Event

1×	node limit

Counts

209 → 338

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)))))
(/.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))))))
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 (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 (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))))

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

eval135.0ms (2.3%)

Compiler: Compiled 6925 to 4825 computations (30.3% saved)

prune46.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	334	4	338
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	335	4	339

Accuracy

100.0%

Counts

339 → 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))
▶	98.5%	(log.f64 (/.f64 2 x))
▶	99.1%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
▶	99.1%	(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))
▶	98.5%	(log.f64 (/.f64 2 x))
▶	99.1%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
▶	99.1%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 82 to 64 computations (22% saved)

localize137.0ms (2.3%)

Localize:

Found 6 expressions with local error:

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

Compiler

Compiled 129 to 87 computations (32.6% saved)

series3.0ms (0%)

Counts

5 → 42

Calls

15 calls:

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

rewrite193.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`fma-neg`
716×	`expm1-udef`
712×	`log1p-udef`
426×	`add-sqr-sqrt`
410×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	97
1	416	97
2	6092	97

Stop Event

1×	node limit

Counts

5 → 263

Calls

Call 1

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

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

simplify338.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-neg`
676×	`cancel-sign-sub-inv`
662×	`div-sub`
434×	`fma-def`
418×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	11537
1	1314	10645
2	4735	9883

Stop Event

1×	node limit

Counts

305 → 314

Calls

Call 1

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

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

eval875.0ms (14.7%)

Compiler: Compiled 7540 to 5564 computations (26.2% saved)

prune234.0ms (3.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	396	1	397
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	397	4	401

Accuracy

100.0%

Counts

401 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	98.5%	(log.f64 (/.f64 2 x))
✓	99.1%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	99.1%	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	98.5%	(log.f64 (/.f64 2 x))
✓	99.1%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 78 to 60 computations (23.1% saved)

localize150.0ms (2.5%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
1.0ms	x	@	0	(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
1.0ms	x	@	inf	(.f64 -1/2 (.f64 x x))
1.0ms	x	@	-inf	(/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x)
1.0ms	x	@	0	(.f64 -1/2 (.f64 x x))

rewrite222.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`log-prod`
718×	`exp-prod`
612×	`prod-exp`
524×	`pow-prod-down`
418×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	199	34
2	2589	34

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

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

simplify226.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1116×	`log-prod`
806×	`log-div`
586×	`fma-def`
580×	`exp-prod`
568×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	219	2181
1	483	2085
2	1298	2085
3	5959	2085

Stop Event

1×	node limit

Counts

103 → 107

Calls

Call 1

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

eval114.0ms (1.9%)

Compiler: Compiled 1610 to 1099 computations (31.7% saved)

prune52.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	107	4	111

Accuracy

100.0%

Counts

111 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	98.5%	(log.f64 (/.f64 2 x))
✓	99.1%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 100 to 73 computations (27% saved)

regimes57.0ms (0.9%)

Counts

6 → 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 2 (.f64 -1/2 (.f64 x x))) x))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.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 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))

Calls

3 calls:

17.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
17.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
16.0ms	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 90 to 63 computations (30% saved)

regimes15.0ms (0.3%)

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes9.0ms (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 2 (.f64 -1/2 (.f64 x x))) x))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 27 to 20 computations (25.9% 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
99.1%	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0%)

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
98.5%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
10×	`*-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	137
1	42	137
2	49	137
3	53	137
4	55	137

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.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 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (*.f64 x -1/2))))
(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) 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 52 to 40 computations (23.1% saved)

soundness673.0ms (11.3%)

Rules

1138×	`log-prod`
992×	`unswap-sqr`
848×	`fma-def`
812×	`pow-prod-down`
728×	`fma-neg`

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	3965	7541
0	505	11537
1	1314	10645
2	4735	9883

Stop Event

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

Compiler

Compiled 340 to 247 computations (27.4% saved)

end0.0ms (0%)

preprocess828.0ms (13.9%)

Compiler: Compiled 124 to 90 computations (27.4% saved)

analyze3.0ms (0.1%)

sample1.1s (18.1%)

preprocess287.0ms (4.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize59.0ms (1%)

series3.0ms (0%)

rewrite98.0ms (1.6%)

simplify112.0ms (1.9%)

eval135.0ms (2.3%)

prune46.0ms (0.8%)

localize137.0ms (2.3%)

series3.0ms (0%)

rewrite193.0ms (3.2%)

simplify338.0ms (5.7%)

eval875.0ms (14.7%)

prune234.0ms (3.9%)

localize150.0ms (2.5%)

series6.0ms (0.1%)

rewrite222.0ms (3.7%)

simplify226.0ms (3.8%)

eval114.0ms (1.9%)

prune52.0ms (0.9%)

regimes57.0ms (0.9%)

regimes15.0ms (0.3%)

regimes9.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

simplify8.0ms (0.1%)

soundness673.0ms (11.3%)

end0.0ms (0%)

preprocess828.0ms (13.9%)

Profiling