Metrics for Hyperbolic arc-(co)secant

analyze9.0ms (0.2%)

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)

sample1.7s (29.6%)

Results

1.6s	8256×	body	256	valid
3.0ms	20×	body	256	invalid

Bogosity

preprocess240.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval1.0ms (0%)

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

prune2.0ms (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)

localize109.0ms (1.9%)

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)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite151.0ms (2.7%)

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))))

simplify191.0ms (3.4%)

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)))

eval244.0ms (4.3%)

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

prune80.0ms (1.4%)

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
▶	54.6%	(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 x x)))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.2%	(log.f64 (/.f64 2 x))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	54.6%	(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 x x)))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.2%	(log.f64 (/.f64 2 x))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 86 to 60 computations (30.2% saved)

localize373.0ms (6.6%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓	55.9%	(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 x x))
✓	100.0%	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 142 to 80 computations (43.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite100.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`prod-diff`
1194×	`log-prod`
624×	`fma-def`
600×	`pow-exp`
452×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	85
1	259	85
2	3529	85

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

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

simplify131.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1236×	`associate-*r/`
916×	`associate-*l/`
480×	`associate-+r+`
480×	`associate-+l+`
446×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	5741
1	926	5503
2	3115	5283

Stop Event

1×	node limit

Counts

155 → 241

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 x (sqrt.f64 -1)))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(+.f64 1 (.f64 -1 (.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 1 (.f64 -1 (.f64 x (sqrt.f64 -1)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 5)) (.f64 2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) (*.f64 2 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 5)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 2 x))))
(*.f64 (pow.f64 x 2) (sqrt.f64 -1))
(+.f64 x (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))
(+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))))
(.f64 -1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))
(+.f64 x (.f64 -1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(-.f64 (+.f64 x (.f64 -1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (+.f64 x (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.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 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 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 1 (fma.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 x x)))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (.f64 x (neg.f64 x)) (neg.f64 (-.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 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (+.f64 1 (-.f64 1 (fma.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 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (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)
(pow.f64 (/.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x x)) -1)
(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))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(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 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (.f64 x x))) 1)
(fma.f64 (cbrt.f64 (-.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)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 1/2) 1)
(+.f64 0 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) 1)
(.f64 1 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2)))
(.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))
(.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2)) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 2) (.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 2) (cbrt.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))))
(.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (pow.f64 x -2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
(.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 (*.f64 x (neg.f64 x))))
(.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x) (/.f64 1 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 x x)))
(.f64 (/.f64 1 x) (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (cbrt.f64 (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 2) x) (/.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (cbrt.f64 (.f64 x x))))
(pow.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) 2)
(pow.f64 (/.f64 x (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) -1)
(pow.f64 (/.f64 (/.f64 x (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) 1) -1)
(neg.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 x (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))))
(exp.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2)))) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)) 2))
(exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) x))) -1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))))
(+.f64 x (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))))
(+.f64 0 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) x)
(+.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) x)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (cbrt.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(.f64 1 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1)
(.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 2) (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 x 3)) (fma.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(/.f64 (fma.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x (neg.f64 x))) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x)))
(pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 2))
(log.f64 (exp.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(log.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (.f64 (exp.f64 (.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

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

eval232.0ms (4.1%)

Compiler: Compiled 11358 to 7609 computations (33% saved)

prune67.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	572	1	573
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	573	4	577

Accuracy

100.0%

Counts

577 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.2%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.2%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 84 to 66 computations (21.4% saved)

localize122.0ms (2.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2))
✓	100.0%	(cbrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)

Compiler

Compiled 62 to 39 computations (37.1% saved)

series7.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
1.0ms	x	@	inf	(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
1.0ms	x	@	-inf	(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2))

rewrite91.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`prod-diff`
908×	`log-prod`
586×	`fma-def`
536×	`pow-prod-down`
530×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	235	57
2	2974	57

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
(cbrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2))

Outputs
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(expm1.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x 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 (.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(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))) 1/3) 3/2))
(exp.f64 (.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (neg.f64 x)))) 1) 3/2))
(exp.f64 (.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1/3))
(exp.f64 (.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 x (neg.f64 x)))) 3) 1/3))
(exp.f64 (.f64 (.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (neg.f64 x)))) 3/4) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1 -1)
(fma.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) -1)
(fma.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))))) -1)
(fma.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)) -1)
(fma.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(fma.f64 (-.f64 1 (-.f64 1 (.f64 x x))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) -1)
(+.f64 0 (cbrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(.f64 1 (cbrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/9)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (.f64 1/3 (log1p.f64 (.f64 x (neg.f64 x)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 1))
(exp.f64 (.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 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 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (-.f64 1 (-.f64 1 (.f64 x x))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (-.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 1 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 (+.f64 1 (-.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 x (neg.f64 x)) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1))
(/.f64 (-.f64 1 (-.f64 1 (.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 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (-.f64 1 (.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)))) 2) 1/2)
(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)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 1 (-.f64 1 (.f64 x x)))) -1)
(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))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(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))) (pow.f64 (-.f64 1 (.f64 x x)) 1/6) 1)
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1 1)
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (cbrt.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)

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1636×	`fma-neg`
1042×	`fma-def`
642×	`exp-prod`
544×	`distribute-lft-in`
536×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	3353
1	604	3185
2	1621	3145
3	5825	3145

Stop Event

1×	node limit

Counts

127 → 185

Calls

Call 1

Inputs
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)))))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 2)) (.f64 -1/9 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 (.f64 -1/9 (pow.f64 x 4)) (*.f64 -5/81 (pow.f64 x 6)))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(expm1.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x 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 (.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(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))) 1/3) 3/2))
(exp.f64 (.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (neg.f64 x)))) 1) 3/2))
(exp.f64 (.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 3/4))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1/3))
(exp.f64 (.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 x (neg.f64 x)))) 3) 1/3))
(exp.f64 (.f64 (.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (neg.f64 x)))) 3/4) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1 -1)
(fma.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) -1)
(fma.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))))) -1)
(fma.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)) -1)
(fma.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(fma.f64 (-.f64 1 (-.f64 1 (.f64 x x))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) -1)
(+.f64 0 (cbrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(.f64 1 (cbrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/9)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (.f64 1/3 (log1p.f64 (.f64 x (neg.f64 x)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/3) 1))
(exp.f64 (.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 1/6 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1 (*.f64 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 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (-.f64 1 (-.f64 1 (.f64 x x))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (-.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 1 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 (+.f64 1 (-.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 x (neg.f64 x)) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1))
(/.f64 (-.f64 1 (-.f64 1 (.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 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (-.f64 1 (.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)))) 2) 1/2)
(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)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 1 (-.f64 1 (.f64 x x)))) -1)
(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))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(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))) (pow.f64 (-.f64 1 (.f64 x x)) 1/6) 1)
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1 1)
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (cbrt.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
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (.f64 x (.f64 x -1/2))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1))
(+.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 (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/2 (.f64 x x))) (fma.f64 -1/8 (pow.f64 x 4) 1))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/3))
(fma.f64 (*.f64 x x) -1/3 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 2)) (.f64 -1/9 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/3 (.f64 x x) (.f64 (pow.f64 x 4) -1/9)))
(+.f64 (fma.f64 (.f64 x x) -1/3 1) (.f64 (pow.f64 x 4) -1/9))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 4) -1/9 1))
(fma.f64 (pow.f64 x 4) -1/9 (fma.f64 x (*.f64 x -1/3) 1))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 (.f64 -1/9 (pow.f64 x 4)) (*.f64 -5/81 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/3 (.f64 x x) (fma.f64 -1/9 (pow.f64 x 4) (.f64 (pow.f64 x 6) -5/81))))
(+.f64 (fma.f64 (.f64 x x) -1/3 1) (fma.f64 (pow.f64 x 4) -1/9 (.f64 (pow.f64 x 6) -5/81)))
(+.f64 1 (fma.f64 x (.f64 x -1/3) (fma.f64 (pow.f64 x 4) -1/9 (.f64 (pow.f64 x 6) -5/81))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/9 (fma.f64 (pow.f64 x 6) -5/81 (.f64 x (.f64 x -1/3)))))
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 (fma.f64 -1/8 (pow.f64 x 4) (.f64 x (.f64 x -1/2))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 2))
(+.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 2 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/2 (.f64 x x)))))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 3)
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(expm1.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
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(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (neg.f64 (-.f64 (+.f64 1 (-.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 1 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (+.f64 (.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 (-.f64 -1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (+.f64 -2 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (neg.f64 (-.f64 1 (-.f64 1 (.f64 x x)))) (neg.f64 (-.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 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (/.f64 x (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2) 1/2)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(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))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(pow.f64 (/.f64 (-.f64 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) -1)
(.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (+.f64 (.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 (-.f64 -1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (+.f64 -2 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 1 (-.f64 1 (.f64 x x)))) -1)
(/.f64 (+.f64 0 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (/.f64 x (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1/3))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (-.f64 1 (.f64 x x)) 1/6) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (.f64 x x))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 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))))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))

eval706.0ms (12.5%)

Compiler: Compiled 3301 to 2321 computations (29.7% saved)

prune97.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	185	4	189

Accuracy

100.0%

Counts

189 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.2%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 108 to 76 computations (29.6% saved)

regimes34.0ms (0.6%)

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 1 (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 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)) x))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 x x)))

Outputs
(log.f64 (/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)) x))

Calls

3 calls:

14.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
8.0ms	x
5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 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 95 to 63 computations (33.7% saved)

regimes12.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 68 to 48 computations (29.4% saved)

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
99.6%	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
99.2%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	112
1	38	112
2	45	112
3	49	112
4	51	112

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)) x))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))

Outputs
(log.f64 (/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)) x))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))

Compiler

Compiled 42 to 33 computations (21.4% saved)

soundness756.0ms (13.4%)

Rules

1138×	`log-prod`
1138×	`log-prod`
992×	`unswap-sqr`
992×	`unswap-sqr`
848×	`fma-def`

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	11	75
1	246	75
2	3586	75
0	474	8205
1	1203	7663
2	3965	7541

Stop Event

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

Compiler

Compiled 545 to 393 computations (27.9% saved)

end0.0ms (0%)

preprocess88.0ms (1.6%)

Compiler: Compiled 106 to 78 computations (26.4% saved)

analyze9.0ms (0.2%)

sample1.7s (29.6%)

preprocess240.0ms (4.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize109.0ms (1.9%)

series5.0ms (0.1%)

rewrite151.0ms (2.7%)

simplify191.0ms (3.4%)

eval244.0ms (4.3%)

prune80.0ms (1.4%)

localize373.0ms (6.6%)

series2.0ms (0%)

rewrite100.0ms (1.8%)

simplify131.0ms (2.3%)

eval232.0ms (4.1%)

prune67.0ms (1.2%)

localize122.0ms (2.2%)

series7.0ms (0.1%)

rewrite91.0ms (1.6%)

simplify103.0ms (1.8%)

eval706.0ms (12.5%)

prune97.0ms (1.7%)

regimes34.0ms (0.6%)

regimes12.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness756.0ms (13.4%)

end0.0ms (0%)

preprocess88.0ms (1.6%)

Profiling