Details

analyze116.0ms (4%)

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%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.8s (61.5%)

Results

986.0ms	8256×	body	256	valid
673.0ms	7100×	body	256	infinite
106.0ms	1020×	body	256	invalid

Bogosity

preprocess136.0ms (4.7%)

Algorithm

2×	egg-herbie

Rules

1316×	`fma-neg`
1074×	`+-commutative`
1010×	`*-commutative`
776×	`distribute-neg-in`
746×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	84	23
5	177	23
6	348	23
7	794	23
8	3311	23
9	4904	23
10	6285	23
11	7231	23
12	7581	23
13	7779	23
14	7887	23
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify139.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1316×	`fma-neg`
1074×	`+-commutative`
1010×	`*-commutative`
776×	`distribute-neg-in`
746×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	84	23
5	177	23
6	348	23
7	794	23
8	3311	23
9	4904	23
10	6285	23
11	7231	23
12	7581	23
13	7779	23
14	7887	23

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

29.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	27.7b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`associate-*r/`
820×	`*-commutative`
704×	`unswap-sqr`
664×	`associate-*l/`
604×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	197	32
2	2691	32

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) x)) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x 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Outputs

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(-.f64 x x))) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)))))

simplify91.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-/r*`
952×	`associate-*r/`
782×	`associate-*l/`
672×	`+-commutative`
642×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	7096
1	986	6194
2	3764	6006

Stop Event

1×	node limit

Counts

148 → 245

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (-.f64 1 x))
(-.f64 (/.f64 x (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) x)) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x 1)) 1)
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 1 (.f64 x (-.f64 x x))) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (.f64 x (-.f64 x x))))
(.f64 (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 x x))) (+.f64 1 (*.f64 x (-.f64 x x)))) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 x x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (+.f64 (.f64 x x) (+.f64 -1 (.f64 x (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (pow.f64 x 4) (.f64 (fma.f64 x x -1) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))))) (+.f64 (+.f64 1 (.f64 x (-.f64 x x))) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 -1 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 -1 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (+.f64 -1 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (/.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (/.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (+.f64 -1 (*.f64 x (-.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x x -1) (+.f64 (*.f64 x x) (fma.f64 x x -1))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (-.f64 x x))) -1) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (+.f64 -1 (.f64 x (-.f64 x x))) 1) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 x (-.f64 x x))) -1) 1) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1) (neg.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (.f64 x x) (fma.f64 x x -1)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x x -1) (+.f64 (*.f64 x x) (fma.f64 x x -1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 x x))) (.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1)) (/.f64 (.f64 1/8 (pow.f64 x 4)) (sqrt.f64 -1)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1)) (/.f64 (.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1)) (+.f64 (/.f64 (.f64 1/8 (pow.f64 x 4)) (sqrt.f64 -1)) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (-.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 x (sqrt.f64 -1)) x) x) (+.f64 (sqrt.f64 -1) (/.f64 (.f64 1/8 (pow.f64 x 4)) (sqrt.f64 -1))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(fma.f64 x 2 (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 1 (*.f64 x 0)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x -1) 3/4)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 x (-.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (/.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 1 (*.f64 x 0)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (/.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (/.f64 (cbrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (cbrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (.f64 x x) (fma.f64 x x -1)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x (fma.f64 x x -1))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x x -1) (+.f64 (*.f64 x x) (fma.f64 x x -1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x -1) (fma.f64 x x (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (fma.f64 x x -1) (fma.f64 x x (fma.f64 x x -1)) (pow.f64 x 4))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (.f64 (+.f64 1 (.f64 x 0)) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (+.f64 1 (.f64 x 0)) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 x x))) (.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (.f64 (+.f64 1 (.f64 x 0)) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (+.f64 1 (.f64 x 0)) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(neg.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (.f64 (+.f64 1 (.f64 x 0)) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)

eval101.0ms (3.5%)

Compiler: Compiled 5562 to 3892 computations (30% saved)

prune33.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	242	3	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	242	4	246

Error

Counts

246 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
▶	0.0b	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))
✓	29.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	0.5b	(log.f64 (+.f64 x x))

Compiler

Compiled 37 to 27 computations (27% saved)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize21.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))
✓	0.5b	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))

Compiler

Compiled 50 to 37 computations (26% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`associate-*r/`
1338×	`associate-*l/`
1096×	`*-commutative`
696×	`associate-/r*`
384×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	255	32
2	3306	32

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs
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(sqrt.f64 (fma.f64 x x -1)))))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))))

simplify88.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1390×	`associate-/r*`
1112×	`distribute-lft-in`
864×	`*-commutative`
800×	`associate-*r/`
584×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	5912
1	839	5252
2	3285	5084

Stop Event

1×	node limit

Counts

118 → 214

Calls

Call 1

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

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

localize11.0ms (0.4%)

Compiler: Compiled 25 to 18 computations (28% saved)

eval127.0ms (4.4%)

Compiler: Compiled 5000 to 3448 computations (31% saved)

prune28.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	214	4	218

Error

Counts

218 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	0.0b	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))
✓	29.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.5b	(log.f64 (+.f64 x x))

Compiler

Compiled 37 to 27 computations (27% saved)

regimes13.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.0b	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 55 to 38 computations (30.9% saved)

regimes12.0ms (0.4%)

Accuracy

Total -30.0b remaining (-10516.4%)

Threshold costs -30.0b (-10516.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.3b	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`*-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	30	71
2	36	71
3	38	71
4	39	71

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

soundness0.0ms (0%)

end25.0ms (0.9%)

Compiler: Compiled 25 to 18 computations (28% saved)

Details

analyze116.0ms (4%)

sample1.8s (61.5%)

preprocess136.0ms (4.7%)

simplify139.0ms (4.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.4%)

series2.0ms (0.1%)

rewrite78.0ms (2.7%)

simplify91.0ms (3.1%)

eval101.0ms (3.5%)

prune33.0ms (1.1%)

localize4.0ms (0.1%)

localize21.0ms (0.7%)

series1.0ms (0%)

rewrite75.0ms (2.6%)

simplify88.0ms (3%)

localize11.0ms (0.4%)

eval127.0ms (4.4%)

prune28.0ms (1%)

regimes13.0ms (0.4%)

regimes12.0ms (0.4%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end25.0ms (0.9%)

Profiling