Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.3s (32%)

Results

1.4s	4102×	body	1024	valid
437.0ms	2046×	body	512	valid
239.0ms	1627×	body	256	valid
198.0ms	481×	body	2048	valid

Bogosity

preprocess13.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

92×	`fma-def`
52×	`associate--r+`
48×	`associate-+l-`
46×	`+-commutative`
28×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-def`
52×	`associate--r+`
48×	`associate-+l-`
46×	`+-commutative`
28×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

58.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.5b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 x))
✓	0.0b	(sqrt.f64 (+.f64 1 x))
✓	6.7b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series8.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`associate-*r/`
1222×	`associate-*l/`
936×	`*-commutative`
788×	`associate-/r*`
484×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	213	49
2	2916	49

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify129.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1208×	`+-commutative`
1000×	`associate-+l-`
966×	`associate-+r-`
918×	`associate--r+`
528×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	478	9955
1	1202	9433
2	5715	9425

Stop Event

1×	node limit

Counts

201 → 316

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 1 1/2))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) 1)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 x) 1/4))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(pow.f64 (-.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))

Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 (pow.f64 x 3) 1/16)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/16 1)))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 x -1)))) (sqrt.f64 (+.f64 (pow.f64 x 3) 1)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 x))) (hypot.f64 1 (pow.f64 x 3/2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x))) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 3))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x))) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 x) 1/4))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))))
(pow.f64 (-.f64 1 x) 1/2)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(sqrt.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))

eval126.0ms (1.7%)

Compiler: Compiled 7466 to 5669 computations (24.1% saved)

prune39.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	311	5	316
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	311	6	317

Error

Counts

317 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓	58.5b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶	0.1b	(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
▶	0.1b	(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
▶	0.0b	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
	0.6b	x

Compiler

Compiled 64 to 48 computations (25% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 39 computations (29.1% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`associate-*l/`
1040×	`*-commutative`
978×	`associate-/r*`
600×	`associate-/r/`
392×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	238	60
2	3262	60

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

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

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simplify125.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-+l+`
1030×	`associate-+r+`
922×	`+-commutative`
542×	`associate-/l*`
504×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	11691
1	1320	11119
2	5874	11111

Stop Event

1×	node limit

Counts

179 → 316

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 7/256 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 33/2048 (pow.f64 x 6)) (*.f64 7/256 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 1)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 -1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
(.f64 (/.f64 1 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1/2)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1/2)))
(/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (+.f64 x x)))
(.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 -1 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1)
(*.f64 (/.f64 1 (+.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (+.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))))
(.f64 (/.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3))) (+.f64 (pow.f64 (+.f64 1 x) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(.f64 (/.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))) (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 1 (-.f64 (-.f64 1 x) (+.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1/2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1/2) (sqrt.f64 (+.f64 x x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2))) (-.f64 (+.f64 2 x) x))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 1 x) (-.f64 1 (.f64 x x))) (.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))))) (.f64 (+.f64 1 x) (-.f64 1 x)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (-.f64 1 (.f64 x x)) (+.f64 1 (fma.f64 x x x))) (.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))))) (*.f64 (-.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 1 (.f64 x x)) (+.f64 1 (fma.f64 x x (neg.f64 x)))))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (-.f64 1 (pow.f64 x 3))))) (.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (+.f64 1 (fma.f64 x x x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))

Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (.f64 -1/4 (.f64 x x))))
(fma.f64 -5/64 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (.f64 x x) (.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (fma.f64 -21/512 (pow.f64 x 6) (.f64 x (.f64 x -1/4))) (fma.f64 -5/64 (pow.f64 x 4) 2))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (.f64 (.f64 x x) 1/16))
(fma.f64 (*.f64 x x) 1/16 1/2)
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 7/256 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/16 (.f64 x x) (.f64 (pow.f64 x 4) 7/256)))
(+.f64 1/2 (fma.f64 (.f64 x x) 1/16 (.f64 (pow.f64 x 4) 7/256)))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 33/2048 (pow.f64 x 6)) (*.f64 7/256 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 1/16 (.f64 x x) (fma.f64 33/2048 (pow.f64 x 6) (.f64 (pow.f64 x 4) 7/256))))
(+.f64 1/2 (fma.f64 (.f64 x x) 1/16 (fma.f64 (pow.f64 x 4) 7/256 (.f64 (pow.f64 x 6) 33/2048))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (-.f64 1 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (-.f64 1 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
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(/.f64 2 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (-.f64 1 x) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 (+.f64 (.f64 (-.f64 1 x) (+.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (+.f64 x 1)))) (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 x) (+.f64 1 (+.f64 x (-.f64 1 x))))) (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 1 x) (-.f64 1 (.f64 x x))) (.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))))) (.f64 (+.f64 1 x) (-.f64 1 x)))
(.f64 (.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 (-.f64 1 (.f64 x x)) (-.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 (+.f64 x 1) (-.f64 1 x))) (*.f64 (-.f64 1 x) (+.f64 x 1))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (-.f64 1 (.f64 x x)) (+.f64 1 (fma.f64 x x x))) (.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))))) (*.f64 (-.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 (-.f64 1 x) (+.f64 1 (fma.f64 x x x)))) (-.f64 (.f64 (-.f64 1 (.f64 x x)) (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (fma.f64 (-.f64 1 (.f64 x x)) (+.f64 1 (fma.f64 x x x)) (.f64 (-.f64 1 (pow.f64 x 3)) (neg.f64 (-.f64 1 x)))) (*.f64 (-.f64 1 x) (+.f64 1 (fma.f64 x x x)))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 1 (.f64 x x)) (+.f64 1 (fma.f64 x x (neg.f64 x)))))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x 1)) (+.f64 1 (fma.f64 x x (neg.f64 x)))) (-.f64 (.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (fma.f64 x x (neg.f64 x))))))
(.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (.f64 (+.f64 x 1) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (fma.f64 x x (neg.f64 x))))))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (-.f64 1 (pow.f64 x 3))))) (.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (+.f64 1 (fma.f64 x x x))))
(.f64 (.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x (neg.f64 x)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x (neg.f64 x)))))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (-.f64 (.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x (neg.f64 x))))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x (neg.f64 x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(/.f64 1 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1/2) 2)
(/.f64 1 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3)
(/.f64 1 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) 3)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 1 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
✓	0.0b	(*.f64 1/8 (pow.f64 x 3))
✓	0.1b	(*.f64 7/128 (pow.f64 x 5))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series2.0ms (0%)

Counts

3 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 7/128 (pow.f64 x 5))
0.0ms	x	@	0	(*.f64 1/8 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 7/128 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 1/8 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 7/128 (pow.f64 x 5))

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
1000×	`distribute-rgt-in`
966×	`distribute-lft-in`
842×	`associate-*l/`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	300	55
2	3757	55

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(*.f64 7/128 (pow.f64 x 5))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 7/128 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 49/16384))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 7/128))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 7/128 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 7/128 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 7/128 (pow.f64 x 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 7/128 (pow.f64 x 5))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (-.f64 1 (fma.f64 1/8 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x))) (-.f64 1 (*.f64 7/128 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) (-.f64 1 (+.f64 x (*.f64 7/128 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 49/16384) (-.f64 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2) (-.f64 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/64 (pow.f64 x 6)) (-.f64 (*.f64 1/8 (pow.f64 x 3)) x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 1/8 (pow.f64 x 3)) x)) (*.f64 7/128 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 7/128 (pow.f64 x 5)) (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 7/128 (pow.f64 x 5)) (/.f64 (*.f64 1/64 (pow.f64 x 6)) (-.f64 (*.f64 1/8 (pow.f64 x 3)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 1/8 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 7/128 (pow.f64 x 5))) (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))) 1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 2) (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 10) 49/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2)) (/.f64 1 (-.f64 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))) (-.f64 (*.f64 (pow.f64 x 10) 49/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 10) 49/16384) (*.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)))))) (#(struct:change #<rule egg-rr> (2) 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5) (fma.f64 1/8 (pow.f64 x 3) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 7/128 (fma.f64 1/8 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (*.f64 7/128 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) (fma.f64 1/8 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (*.f64 7/128 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 49/16384)) (cbrt.f64 (*.f64 7/128 (pow.f64 x 5))) (fma.f64 1/8 (pow.f64 x 3) x))))))

simplify103.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1812×	`associate-/r*`
844×	`associate-+r+`
786×	`associate-+l+`
682×	`+-commutative`
522×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	332	9097
1	951	8821
2	4345	8821

Stop Event

1×	node limit

Counts

127 → 190

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(*.f64 7/128 (pow.f64 x 5))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(*.f64 7/128 (pow.f64 x 5))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) 2)
(pow.f64 (cbrt.f64 (*.f64 7/128 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 10) 49/16384))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 7/128))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 7/128 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152))
(expm1.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 7/128 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 7/128 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 7/128 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/8)) 3)
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 1/64 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (-.f64 1 (fma.f64 1/8 (pow.f64 x 3) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x))) (-.f64 1 (*.f64 7/128 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/8 (pow.f64 x 3)))) (-.f64 1 (+.f64 x (.f64 7/128 (pow.f64 x 5)))))
(-.f64 (/.f64 (.f64 (pow.f64 x 10) 49/16384) (-.f64 (.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2) (-.f64 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))))
(-.f64 (/.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 (.f64 1/8 (pow.f64 x 3)) x)) (-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 1/8 (pow.f64 x 3)) x)) (*.f64 7/128 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 7/128 (pow.f64 x 5)) (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x)))) 1)
(-.f64 (+.f64 (.f64 7/128 (pow.f64 x 5)) (/.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 (.f64 1/8 (pow.f64 x 3)) x))) (/.f64 (.f64 x x) (-.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(-.f64 (+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) 1)
(-.f64 (+.f64 (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x (.f64 7/128 (pow.f64 x 5))) (exp.f64 (log1p.f64 (.f64 1/8 (pow.f64 x 3))))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 7/128 (pow.f64 x 5) (.f64 1/8 (pow.f64 x 3))) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 1)
(*.f64 1 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(*.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 2) (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(.f64 (-.f64 (.f64 (pow.f64 x 10) 49/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2)) (/.f64 1 (-.f64 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) 3) (pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 7/128 (pow.f64 x 5))))))) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) (.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152)) (-.f64 (.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) (.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 49/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2)) 1) (-.f64 (.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 49/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2)) (sqrt.f64 (-.f64 (.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x)))) (sqrt.f64 (-.f64 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 49/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))) (cbrt.f64 (-.f64 (.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))))) (cbrt.f64 (-.f64 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 49/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2)) (+.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)))) (-.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) x))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) 1) (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 7/128 (pow.f64 x 5))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 7/128 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 7/128 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 7/128 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))))))
(pow.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 3)
(pow.f64 (pow.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 2))
(log.f64 (exp.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))))
(cbrt.f64 (pow.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(exp.f64 (log.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 (pow.f64 x 5) 7/128 (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 (.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) (.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 49/16384)) (cbrt.f64 (.f64 7/128 (pow.f64 x 5))) (fma.f64 1/8 (pow.f64 x 3) x))

Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(*.f64 7/128 (pow.f64 x 5))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))
(*.f64 7/128 (pow.f64 x 5))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1)
(*.f64 7/128 (pow.f64 x 5))
(pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)
(*.f64 7/128 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) 2)
(pow.f64 (cbrt.f64 (*.f64 7/128 (pow.f64 x 5))) 3)
(*.f64 7/128 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152))
(sqrt.f64 (*.f64 (pow.f64 x 10) 49/16384))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 7/128))
(*.f64 7/128 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 7/128 (pow.f64 x 5)))))
(*.f64 7/128 (pow.f64 x 5))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152))
(expm1.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))
(*.f64 7/128 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 7/128 (pow.f64 x 5))))
(*.f64 7/128 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 7/128 (pow.f64 x 5))) 1))
(*.f64 7/128 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 7/128 (pow.f64 x 5))))
(*.f64 7/128 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/8)) 3)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3)
(*.f64 1/8 (pow.f64 x 3))
(sqrt.f64 (*.f64 1/64 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x 3)))
(*.f64 1/8 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 1/8 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3))
(*.f64 1/8 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 x 3))) 1))
(*.f64 1/8 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))) 1)
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (-.f64 1 (fma.f64 1/8 (pow.f64 x 3) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x))) (-.f64 1 (*.f64 7/128 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x))) (+.f64 1 (*.f64 -7/128 (pow.f64 x 5))))
(fma.f64 7/128 (pow.f64 x 5) (expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/8 (pow.f64 x 3)))) (-.f64 1 (+.f64 x (.f64 7/128 (pow.f64 x 5)))))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(-.f64 (/.f64 (.f64 (pow.f64 x 10) 49/16384) (-.f64 (.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2) (-.f64 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 49/16384) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2)) (-.f64 (.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 2) (.f64 (pow.f64 x 10) -49/16384)) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 7/128 (pow.f64 x 5))))
(-.f64 (/.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 (.f64 1/8 (pow.f64 x 3)) x)) (-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 1/8 (pow.f64 x 3)) x)) (*.f64 7/128 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 (.f64 1/8 (pow.f64 x 3)) x)) (/.f64 x (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 3)) x) x))) (.f64 7/128 (pow.f64 x 5)))
(-.f64 (fma.f64 7/128 (pow.f64 x 5) (/.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 (.f64 1/8 (pow.f64 x 3)) x))) (.f64 (/.f64 x (-.f64 (.f64 1/8 (pow.f64 x 3)) x)) x))
(-.f64 (fma.f64 7/128 (pow.f64 x 5) (.f64 (/.f64 1/64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 x))) (pow.f64 x 6))) (.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) (neg.f64 x))) x))
(-.f64 (+.f64 (*.f64 7/128 (pow.f64 x 5)) (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x))) (+.f64 1 (*.f64 -7/128 (pow.f64 x 5))))
(fma.f64 7/128 (pow.f64 x 5) (expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 3) x))))
(-.f64 (+.f64 (.f64 7/128 (pow.f64 x 5)) (/.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 (.f64 1/8 (pow.f64 x 3)) x))) (/.f64 (.f64 x x) (-.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 (-.f64 (/.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 (.f64 1/8 (pow.f64 x 3)) x)) (/.f64 x (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 3)) x) x))) (.f64 7/128 (pow.f64 x 5)))
(-.f64 (fma.f64 7/128 (pow.f64 x 5) (/.f64 (.f64 1/64 (pow.f64 x 6)) (-.f64 (.f64 1/8 (pow.f64 x 3)) x))) (.f64 (/.f64 x (-.f64 (.f64 1/8 (pow.f64 x 3)) x)) x))
(-.f64 (fma.f64 7/128 (pow.f64 x 5) (.f64 (/.f64 1/64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 x))) (pow.f64 x 6))) (.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) (neg.f64 x))) x))
(-.f64 (+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) 1)
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(-.f64 (+.f64 (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (+.f64 x (.f64 7/128 (pow.f64 x 5))) (exp.f64 (log1p.f64 (.f64 1/8 (pow.f64 x 3))))) 1)
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(-.f64 (+.f64 (.f64 (fma.f64 7/128 (pow.f64 x 5) (.f64 1/8 (pow.f64 x 3))) 1) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 7/128 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(*.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 1)
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(*.f64 (sqrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 2))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 2) (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
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(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 7/128 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 7/128 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 49/16384) (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) (fma.f64 (pow.f64 x 10) 49/16384 (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 -7/128 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) (fma.f64 (pow.f64 x 10) 49/16384 (.f64 (fma.f64 1/8 (pow.f64 x 3) x) (-.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 7/128 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 343/2097152 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) x) 3)) (fma.f64 (fma.f64 1/8 (pow.f64 x 3) x) (+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (.f64 (pow.f64 x 5) -7/128)) (.f64 (pow.f64 x 10) 49/16384)))
(pow.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 1)
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(pow.f64 (sqrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 2)
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(pow.f64 (cbrt.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 3)
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(pow.f64 (pow.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 3) 1/3)
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(sqrt.f64 (pow.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 2))
(fabs.f64 (fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x)))
(log.f64 (exp.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(cbrt.f64 (pow.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)) 3))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(expm1.f64 (log1p.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(exp.f64 (log.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))) 1))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(log1p.f64 (expm1.f64 (fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 5) 7/128 (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(fma.f64 1 (*.f64 7/128 (pow.f64 x 5)) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(fma.f64 1 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(fma.f64 (.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) (.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) 2) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) x)) (*.f64 7/128 (pow.f64 x 5)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 7/128 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 49/16384)) (cbrt.f64 (.f64 7/128 (pow.f64 x 5))) (fma.f64 1/8 (pow.f64 x 3) x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/8 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite110.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`associate-/r*`
1308×	`associate-/l*`
984×	`associate-/r/`
328×	`associate-+l+`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	77
1	268	65
2	4109	65

Stop Event

1×	node limit

Counts

3 → 358

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 0) (*.f64 (*.f64 x x) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (+.f64 x x)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))))))

simplify151.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-/r*`
1232×	`associate-r`
1182×	`associate-l`
996×	`distribute-lft-in`
904×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	834	21968
1	2414	21098

Stop Event

1×	node limit

Counts

370 → 669

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (-.f64 0 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 0 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 1 0) (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0))
(.f64 (/.f64 1 0) (.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 1) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 1) (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 1))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x))
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (.f64 2 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x 0)))
(*.f64 (/.f64 (+.f64 x x) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (/.f64 (+.f64 x x) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 1 (.f64 2 (pow.f64 x 3))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 x x 0)))
(*.f64 (/.f64 (+.f64 x x) -1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (+.f64 x x) 0) (.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0))
(.f64 (/.f64 (+.f64 x x) 0) (.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 x x 0)))
(.f64 (/.f64 1 (.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 0)
(.f64 (/.f64 1 (.f64 (*.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (fma.f64 x x 0))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))
(.f64 (/.f64 1 (.f64 (.f64 2 (pow.f64 x 3)) 1)) (.f64 (fma.f64 x x 0) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 0)) (sqrt.f64 0))
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (.f64 2 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x 0)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3)))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (fma.f64 x x 0))
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 0 (+.f64 x x))) 0)
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x))) (fma.f64 x x 0))
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (.f64 2 (pow.f64 x 3)))) (fma.f64 x x 0))
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (.f64 2 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x 0)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (-.f64 1 x) 2))) (+.f64 x (-.f64 2 x)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 (+.f64 x 1) (-.f64 1 x)))))
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(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
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(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 2 (.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 (+.f64 x x) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))
(.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2)) (.f64 (+.f64 x x) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 -1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 2 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(*.f64 (/.f64 -1 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 -1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))
(.f64 (/.f64 -1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 (+.f64 x x) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x)
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (.f64 2 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x 0)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 0)) (sqrt.f64 0))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (.f64 2 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x 0)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3)))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (fma.f64 x x 0))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 0 (+.f64 x x))) 0)
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x))) (fma.f64 x x 0))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (.f64 2 (pow.f64 x 3)))) (fma.f64 x x 0))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (.f64 2 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x 0)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (-.f64 1 x) 2))) (+.f64 x (-.f64 2 x)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (.f64 (+.f64 x 1) (-.f64 1 x)))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (fma.f64 x x -1) (+.f64 x 1)) (.f64 (+.f64 x -1) (-.f64 1 (.f64 x x))))) (*.f64 (+.f64 x -1) (+.f64 x 1)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (fma.f64 x x -1) (+.f64 1 (fma.f64 x x x))) (.f64 (+.f64 x -1) (-.f64 1 (pow.f64 x 3))))) (.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x 1)) (.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (.f64 x x))))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (pow.f64 x 3))))) (.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 0 (.f64 2 (pow.f64 x 3)))) (.f64 0 (fma.f64 x x 0)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (.f64 (.f64 2 (pow.f64 x 3)) 0)) (.f64 (fma.f64 x x 0) 0))
(.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))
(.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(.f64 (/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 0)) (-.f64 (*.f64 x x) 0))
(.f64 (/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 0 (pow.f64 (.f64 x x) 3))) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) 0) (.f64 (*.f64 x x) 0)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (+.f64 x x)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 -1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 -1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 1/16 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x 1)) (.f64 1/16 (pow.f64 x 3)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/4 (.f64 x x)))
(+.f64 2 (.f64 x (.f64 x -1/4)))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (.f64 -1/4 (.f64 x x))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (.f64 x (.f64 x -1/4))))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (.f64 x x) (.f64 -21/512 (pow.f64 x 6)))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
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(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
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(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))

eval783.0ms (10.9%)

Compiler: Compiled 40625 to 29445 computations (27.5% saved)

prune360.0ms (5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1398	3	1401
Fresh	0	1	1
Picked	1	0	1
Done	2	2	4
Total	1401	6	1407

Error

Counts

1407 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
✓	58.5b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓	0.1b	(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
▶	0.0b	(*.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x)
▶	0.1b	(.f64 (/.f64 1 (+.f64 2 (.f64 -1/4 (*.f64 x x)))) (+.f64 x x))
	0.6b	x

Compiler

Compiled 66 to 49 computations (25.8% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/4 (.f64 x x))
✓	0.0b	(.f64 (/.f64 1 (+.f64 2 (.f64 -1/4 (*.f64 x x)))) (+.f64 x x))
✓	0.0b	(/.f64 1 (+.f64 2 (.f64 -1/4 (.f64 x x))))

Compiler

Compiled 45 to 25 computations (44.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 1 (+.f64 2 (.f64 -1/4 (.f64 x x))))
0.0ms	x	@	inf	(.f64 (/.f64 1 (+.f64 2 (.f64 -1/4 (*.f64 x x)))) (+.f64 x x))
0.0ms	x	@	inf	(.f64 -1/4 (.f64 x x))
0.0ms	x	@	0	(.f64 -1/4 (.f64 x x))
0.0ms	x	@	0	(/.f64 1 (+.f64 2 (.f64 -1/4 (.f64 x x))))

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`associate-*l/`
1106×	`*-commutative`
652×	`associate-/l*`
606×	`associate-/r*`
566×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	264	61
2	3601	61

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

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

Outputs

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simplify127.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-l`
896×	`associate-/l*`
886×	`associate-r`
796×	`*-commutative`
736×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	635	11316
1	1954	10128

Stop Event

1×	node limit

Counts

268 → 415

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 1/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 1/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 1/1024 (pow.f64 x 6)))))
(/.f64 -4 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 4))) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
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(expm1.f64 (log1p.f64 (.f64 2 (/.f64 x (fma.f64 -1/4 (.f64 x x) 2)))))
(exp.f64 (log.f64 (.f64 2 (/.f64 x (fma.f64 -1/4 (.f64 x x) 2)))))
(log1p.f64 (expm1.f64 (.f64 2 (/.f64 x (fma.f64 -1/4 (.f64 x x) 2)))))
(fma.f64 x (/.f64 1 (fma.f64 -1/4 (.f64 x x) 2)) (/.f64 x (fma.f64 -1/4 (.f64 x x) 2)))
(fma.f64 (/.f64 1 (fma.f64 -1/4 (.f64 x x) 2)) x (/.f64 x (fma.f64 -1/4 (.f64 x x) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/4 (.f64 x x)))) 1)
(pow.f64 (.f64 -1/4 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/4 (.f64 x x))) 3)
(pow.f64 (.f64 -1/64 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/4 (.f64 x x)))))
(cbrt.f64 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 -1/4 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/4 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 -1/4 (.f64 x x))))

Outputs
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (.f64 1/16 (.f64 x x)))
(fma.f64 1/16 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (.f64 1/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 1/128 (pow.f64 x 4) (.f64 1/16 (.f64 x x))))
(+.f64 1/2 (fma.f64 1/128 (pow.f64 x 4) (.f64 x (.f64 x 1/16))))
(+.f64 1/2 (+.f64 (.f64 1/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 1/1024 (pow.f64 x 6)))))
(+.f64 1/2 (fma.f64 1/128 (pow.f64 x 4) (fma.f64 1/16 (.f64 x x) (.f64 1/1024 (pow.f64 x 6)))))
(/.f64 -4 (pow.f64 x 2))
(/.f64 -4 (*.f64 x x))
(/.f64 (/.f64 -4 x) x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 4))) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 4 (*.f64 x x))))
(+.f64 (/.f64 -32 (pow.f64 x 4)) (/.f64 (/.f64 -4 x) x))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 256 (pow.f64 x 6)))))
(-.f64 (/.f64 -32 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 256 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 2048 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 256 (pow.f64 x 6)))) (/.f64 2048 (pow.f64 x 8))))
(+.f64 (-.f64 (/.f64 -32 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 256 (pow.f64 x 6)))) (/.f64 -2048 (pow.f64 x 8)))
(/.f64 -4 (pow.f64 x 2))
(/.f64 -4 (*.f64 x x))
(/.f64 (/.f64 -4 x) x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 4))) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 4 (*.f64 x x))))
(+.f64 (/.f64 -32 (pow.f64 x 4)) (/.f64 (/.f64 -4 x) x))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 256 (pow.f64 x 6)))))
(-.f64 (/.f64 -32 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 256 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 2048 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 256 (pow.f64 x 6)))) (/.f64 2048 (pow.f64 x 8))))
(+.f64 (-.f64 (/.f64 -32 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 256 (pow.f64 x 6)))) (/.f64 -2048 (pow.f64 x 8)))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (.f64 1/512 (pow.f64 x 7)) (+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 512 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 512 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) 2) (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) (neg.f64 (.f64 -1/4 (.f64 x x)))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) 2) (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) (.f64 (.f64 -1/4 (*.f64 x x)) -1)))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) 2) (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) (.f64 (.f64 x x) 1/4)))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) 2) (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) (.f64 -1/4 (neg.f64 (.f64 x x)))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) 2) (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) (.f64 (.f64 x (sqrt.f64 -1/4)) (neg.f64 (*.f64 x (sqrt.f64 -1/4))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (neg.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2))))
(.f64 (/.f64 -1 (fma.f64 1/16 (pow.f64 x 4) -4)) (-.f64 2 (pow.f64 (.f64 x (sqrt.f64 -1/4)) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) 2) (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) (.f64 (cbrt.f64 (.f64 -1/4 (.f64 x x))) (neg.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4)))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 (cbrt.f64 (.f64 -1/4 (.f64 x x))) (neg.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4)))))))
(.f64 (/.f64 -1 (fma.f64 1/16 (pow.f64 x 4) -4)) (-.f64 2 (.f64 (cbrt.f64 (.f64 x (.f64 x -1/4))) (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))))))
(+.f64 (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) 2) (.f64 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4)))) (.f64 x (neg.f64 (.f64 -1/4 x)))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) 4) (.f64 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 (*.f64 x x) -1/2))))
(.f64 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 x 6)))) (+.f64 4 (fma.f64 1/16 (pow.f64 x 4) (neg.f64 (.f64 x (.f64 x -1/2))))))
(/.f64 (+.f64 (fma.f64 1/16 (pow.f64 x 4) 4) (.f64 1/2 (.f64 x x))) (fma.f64 -1/64 (pow.f64 x 6) 8))
(+.f64 (.f64 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 (.f64 x x) -1/2))) (.f64 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) 4))
(.f64 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 x 6)))) (+.f64 4 (fma.f64 1/16 (pow.f64 x 4) (neg.f64 (.f64 x (.f64 x -1/2))))))
(/.f64 (+.f64 (fma.f64 1/16 (pow.f64 x 4) 4) (.f64 1/2 (.f64 x x))) (fma.f64 -1/64 (pow.f64 x 6) 8))
(+.f64 (.f64 2 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))) (.f64 (neg.f64 (.f64 -1/4 (.f64 x x))) (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 2 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))) (.f64 (.f64 (.f64 -1/4 (.f64 x x)) -1) (/.f64 1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 2 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))) (.f64 (.f64 (.f64 x x) 1/4) (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 2 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))) (.f64 (.f64 -1/4 (neg.f64 (.f64 x x))) (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 2 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))) (.f64 (.f64 (.f64 x (sqrt.f64 -1/4)) (neg.f64 (.f64 x (sqrt.f64 -1/4)))) (/.f64 1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (neg.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2))))
(.f64 (/.f64 -1 (fma.f64 1/16 (pow.f64 x 4) -4)) (-.f64 2 (pow.f64 (.f64 x (sqrt.f64 -1/4)) 2)))
(+.f64 (.f64 2 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))) (.f64 (.f64 (cbrt.f64 (.f64 -1/4 (.f64 x x))) (neg.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))))) (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 (cbrt.f64 (.f64 -1/4 (.f64 x x))) (neg.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4)))))))
(.f64 (/.f64 -1 (fma.f64 1/16 (pow.f64 x 4) -4)) (-.f64 2 (.f64 (cbrt.f64 (.f64 x (.f64 x -1/4))) (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))))))
(+.f64 (.f64 2 (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))) (.f64 (.f64 x (neg.f64 (.f64 -1/4 x))) (/.f64 1 (-.f64 4 (.f64 1/16 (pow.f64 x 4))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 -1/16 (pow.f64 x 4)))) (+.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (fma.f64 -1/4 (*.f64 x x) -2) (fma.f64 1/16 (pow.f64 x 4) -4))
(+.f64 (.f64 4 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))))) (.f64 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 (.f64 x x) -1/2)) (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 (*.f64 x x) 3))))))
(.f64 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 x 6)))) (+.f64 4 (fma.f64 1/16 (pow.f64 x 4) (neg.f64 (.f64 x (.f64 x -1/2))))))
(/.f64 (+.f64 (fma.f64 1/16 (pow.f64 x 4) 4) (.f64 1/2 (.f64 x x))) (fma.f64 -1/64 (pow.f64 x 6) 8))
(+.f64 (.f64 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 (.f64 x x) -1/2)) (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))))) (.f64 4 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 (*.f64 x x) 3))))))
(.f64 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 x 6)))) (+.f64 4 (fma.f64 1/16 (pow.f64 x 4) (neg.f64 (.f64 x (.f64 x -1/2))))))
(/.f64 (+.f64 (fma.f64 1/16 (pow.f64 x 4) 4) (.f64 1/2 (.f64 x x))) (fma.f64 -1/64 (pow.f64 x 6) 8))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)))) 1)
(/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 1 (fma.f64 (*.f64 x -1/4) x 2))
(.f64 1 (/.f64 1 (fma.f64 -1/4 (.f64 x x) 2)))
(/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 1 (fma.f64 (*.f64 x -1/4) x 2))
(.f64 (/.f64 1 (fma.f64 -1/4 (.f64 x x) 2)) 1)
(/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 1 (fma.f64 (*.f64 x -1/4) x 2))
(.f64 (pow.f64 (fma.f64 -1/4 (.f64 x x) 2) -1/2) (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) -1/2))
(/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 1 (fma.f64 (*.f64 x -1/4) x 2))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/4 (.f64 x x) 2))) (cbrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) -2)))
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(/.f64 2 (/.f64 (fma.f64 (*.f64 x -1/4) x 2) x))
(fma.f64 x (/.f64 1 (fma.f64 -1/4 (.f64 x x) 2)) (/.f64 x (fma.f64 -1/4 (.f64 x x) 2)))
(fma.f64 x (/.f64 1 (fma.f64 (.f64 x -1/4) x 2)) (/.f64 x (fma.f64 (.f64 x -1/4) x 2)))
(fma.f64 (/.f64 1 (fma.f64 -1/4 (.f64 x x) 2)) x (/.f64 x (fma.f64 -1/4 (.f64 x x) 2)))
(fma.f64 x (/.f64 1 (fma.f64 -1/4 (.f64 x x) 2)) (/.f64 x (fma.f64 -1/4 (.f64 x x) 2)))
(fma.f64 x (/.f64 1 (fma.f64 (.f64 x -1/4) x 2)) (/.f64 x (fma.f64 (.f64 x -1/4) x 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/4 (.f64 x x)))) 1)
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(pow.f64 (.f64 -1/4 (.f64 x x)) 1)
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/4 (.f64 x x))) 3)
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(pow.f64 (.f64 -1/64 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (*.f64 -1/64 (pow.f64 x 6)))
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x)))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/4 (.f64 x x)))))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(cbrt.f64 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 -1/64 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 -1/4 (.f64 x x))))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(exp.f64 (log.f64 (.f64 -1/4 (.f64 x x))))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(log1p.f64 (expm1.f64 (.f64 -1/4 (.f64 x x))))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
	0.0b	(sqrt.f64 (-.f64 1 x))
	0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
	0.0b	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 51 to 39 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`associate-*l/`
946×	`associate-/r*`
586×	`associate-/r/`
412×	`associate-/l*`
306×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	263	33
2	3560	33

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-/r*`
646×	`associate-/l/`
606×	`+-commutative`
556×	`associate-+l-`
534×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	2084
1	348	1976
2	1250	1946
3	4419	1946

Stop Event

1×	node limit

Counts

42 → 79

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (.f64 7/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 33/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 7/128 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 1)
(*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(*.f64 -2 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (/.f64 2 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 2 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(*.f64 (/.f64 2 (+.f64 x x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 2 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -2)
(*.f64 (/.f64 2 (neg.f64 (+.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 2 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(*.f64 (/.f64 2 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 x x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 -2 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(.f64 (/.f64 (/.f64 2 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(*.f64 (/.f64 (/.f64 2 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (sqrt.f64 (+.f64 x x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(pow.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))

Outputs
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(fma.f64 1/8 (*.f64 x x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (.f64 7/128 (pow.f64 x 4))))
(+.f64 (fma.f64 1/8 (.f64 x x) 1) (.f64 7/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 7/128 (pow.f64 x 4) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 33/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 7/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 33/1024 (pow.f64 x 6) (+.f64 1 (.f64 7/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 33/1024 (pow.f64 x 6) (fma.f64 7/128 (pow.f64 x 4) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 7/128 (pow.f64 x 4) (fma.f64 33/1024 (pow.f64 x 6) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 1)
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 2))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 -2 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (/.f64 2 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (/.f64 2 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(/.f64 (/.f64 2 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 2 (*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(/.f64 2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 1 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 2 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 2 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 2 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2))
(.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 2 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 2 (+.f64 x x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 1 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)
(.f64 (/.f64 2 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 2 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 2 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2))
(.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 2 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -2)
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (neg.f64 (+.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 1 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)
(.f64 (/.f64 2 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 2 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 2 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2))
(.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 2 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 2 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 1 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 -2 (neg.f64 (+.f64 x x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 1 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x)
(.f64 (/.f64 -2 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (.f64 2 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 2 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2))
(.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 2 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(.f64 (/.f64 (/.f64 2 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(.f64 (/.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 (/.f64 (/.f64 2 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (-.f64 1 x) 3/4))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 (/.f64 2 (.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (-.f64 1 x) 3/4)))) (sqrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))))
(.f64 (/.f64 (/.f64 2 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (-.f64 1 x) 3/4))) (sqrt.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (/.f64 (/.f64 2 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (sqrt.f64 (+.f64 x x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 2 (.f64 (sqrt.f64 (+.f64 x x)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 x x))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 2 (.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (.f64 (+.f64 x 1) (-.f64 1 x)))))))
(.f64 (/.f64 2 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 (/.f64 (/.f64 2 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(.f64 (/.f64 (/.f64 2 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 2 (.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 2 (cbrt.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(pow.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 2)
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 3)
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3) 1/3)
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1/2) -1)
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)))
(sqrt.f64 (pow.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))

localize11.0ms (0.2%)

Compiler: Compiled 33 to 20 computations (39.4% saved)

eval423.0ms (5.9%)

Compiler: Compiled 24352 to 17523 computations (28% saved)

prune189.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	988	3	991
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	990	7	997

Error

Counts

997 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))
▶	31.1b	(/.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (fma.f64 -1/4 (.f64 x x) 2)) (+.f64 x x)))
✓	58.5b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓	0.1b	(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
✓	0.0b	(*.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x)
▶	0.1b	(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)
	0.6b	x

Compiler

Compiled 91 to 64 computations (29.7% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)
✓	0.0b	(/.f64 2 (+.f64 2 (.f64 x (.f64 x -1/4))))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 2 (+.f64 2 (.f64 x (.f64 x -1/4))))
0.0ms	x	@	0	(/.f64 2 (+.f64 2 (.f64 x (.f64 x -1/4))))
0.0ms	x	@	-inf	(/.f64 2 (+.f64 2 (.f64 x (.f64 x -1/4))))
0.0ms	x	@	-inf	(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)
0.0ms	x	@	inf	(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)

rewrite113.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`associate-*r/`
1056×	`*-commutative`
822×	`associate-*l/`
602×	`associate-/r*`
470×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	56
1	222	48
2	2849	48

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

Outputs

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-1/4) 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))))))))

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1700×	`distribute-lft-in`
1684×	`distribute-rgt-in`
752×	`associate-/l*`
514×	`associate-l`
482×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	7543
1	1223	7071
2	5052	7071

Stop Event

1×	node limit

Counts

167 → 252

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (.f64 1/64 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/64 (pow.f64 x 4)) (*.f64 1/512 (pow.f64 x 6)))))
(/.f64 -8 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 4))) (.f64 8 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 64 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -8 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 4))) (.f64 8 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 64 (/.f64 1 (pow.f64 x 4)))))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 1/512 (pow.f64 x 7)) (+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (.f64 (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2))) 2) (.f64 (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2))) (.f64 x (.f64 x 1/4))))
(+.f64 (.f64 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) 4) (.f64 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (*.f64 x -1/4)) -2))))
(+.f64 (.f64 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (.f64 x -1/4)) -2))) (.f64 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) 4))
(+.f64 (.f64 2 (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2)))) (.f64 (.f64 x (.f64 x 1/4)) (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2)))))
(+.f64 (.f64 4 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))))) (.f64 (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (.f64 x -1/4)) -2)) (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (*.f64 x x) 3))))))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (.f64 x -1/4)) -2)) (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))))) (.f64 4 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (*.f64 x x) 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) 1)
(.f64 2 (/.f64 1 (fma.f64 x (.f64 x -1/4) 2)))
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(/.f64 (/.f64 (.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (.f64 x -2) (sqrt.f64 (+.f64 -2 (.f64 x (.f64 x 1/4))))) (sqrt.f64 (+.f64 -2 (.f64 x (*.f64 x 1/4)))))
(/.f64 (/.f64 (.f64 x -2) (.f64 (cbrt.f64 (+.f64 -2 (.f64 x (.f64 x 1/4)))) (cbrt.f64 (+.f64 -2 (.f64 x (.f64 x 1/4)))))) (cbrt.f64 (+.f64 -2 (.f64 x (.f64 x 1/4)))))
(/.f64 (/.f64 (.f64 x -2) -1) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 (.f64 x -2) (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (.f64 x -2) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(pow.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 2 (fma.f64 x (.f64 x -1/4) 2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))))
(exp.f64 (log.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))))
(log1p.f64 (expm1.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))))

Outputs
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(fma.f64 1/8 (*.f64 x x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (.f64 1/64 (pow.f64 x 4))))
(+.f64 (fma.f64 1/8 (.f64 x x) 1) (.f64 1/64 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/64 (pow.f64 x 4) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 1/64 (pow.f64 x 4)) (*.f64 1/512 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/8 (.f64 x x) 1) (fma.f64 1/64 (pow.f64 x 4) (.f64 1/512 (pow.f64 x 6))))
(/.f64 -8 (pow.f64 x 2))
(/.f64 -8 (*.f64 x x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 4))) (.f64 8 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))) (/.f64 512 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (/.f64 -512 (pow.f64 x 6)))
(-.f64 (-.f64 (/.f64 -512 (pow.f64 x 6)) (/.f64 64 (pow.f64 x 4))) (/.f64 8 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 64 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4096 (pow.f64 x 8)) (/.f64 512 (pow.f64 x 6))) (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -4096 (pow.f64 x 8)) (/.f64 -512 (pow.f64 x 6))) (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (+.f64 (/.f64 -4096 (pow.f64 x 8)) (/.f64 -512 (pow.f64 x 6))))
(/.f64 -8 (pow.f64 x 2))
(/.f64 -8 (*.f64 x x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 4))) (.f64 8 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))) (/.f64 512 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (/.f64 -512 (pow.f64 x 6)))
(-.f64 (-.f64 (/.f64 -512 (pow.f64 x 6)) (/.f64 64 (pow.f64 x 4))) (/.f64 8 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 64 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4096 (pow.f64 x 8)) (/.f64 512 (pow.f64 x 6))) (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -4096 (pow.f64 x 8)) (/.f64 -512 (pow.f64 x 6))) (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (+.f64 (/.f64 -4096 (pow.f64 x 8)) (/.f64 -512 (pow.f64 x 6))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (.f64 1/512 (pow.f64 x 7)) (+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 512 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 512 (pow.f64 x 5)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 512 (pow.f64 x 5))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (-.f64 (/.f64 -8 x) (/.f64 512 (pow.f64 x 5))) (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 512 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 512 (pow.f64 x 5)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (-.f64 (/.f64 -8 x) (/.f64 512 (pow.f64 x 5))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (-.f64 (/.f64 -8 x) (/.f64 512 (pow.f64 x 5))) (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))))
(+.f64 (.f64 (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2))) 2) (.f64 (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2))) (.f64 x (.f64 x 1/4))))
(/.f64 (.f64 (+.f64 2 (.f64 x (.f64 x 1/4))) 2) (-.f64 4 (pow.f64 (.f64 x (*.f64 x -1/4)) 2)))
(/.f64 (+.f64 4 (.f64 (.f64 x x) 1/2)) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16)))
(+.f64 (.f64 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) 4) (.f64 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (*.f64 x -1/4)) -2))))
(/.f64 (.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (fma.f64 x (.f64 x -1/4) -2))) 2) (+.f64 8 (.f64 (pow.f64 x 6) -1/64)))
(/.f64 (fma.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (*.f64 x x) 1/2)) 8) (fma.f64 (pow.f64 x 6) -1/64 8))
(+.f64 (.f64 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (.f64 x -1/4)) -2))) (.f64 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) 4))
(/.f64 (.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (fma.f64 x (.f64 x -1/4) -2))) 2) (+.f64 8 (.f64 (pow.f64 x 6) -1/64)))
(/.f64 (fma.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (*.f64 x x) 1/2)) 8) (fma.f64 (pow.f64 x 6) -1/64 8))
(+.f64 (.f64 2 (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2)))) (.f64 (.f64 x (.f64 x 1/4)) (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2)))))
(/.f64 (.f64 (+.f64 2 (.f64 x (.f64 x 1/4))) 2) (-.f64 4 (pow.f64 (.f64 x (*.f64 x -1/4)) 2)))
(/.f64 (+.f64 4 (.f64 (.f64 x x) 1/2)) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16)))
(+.f64 (.f64 4 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))))) (.f64 (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (.f64 x -1/4)) -2)) (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (fma.f64 x (.f64 x -1/4) -2))) 2) (+.f64 8 (.f64 (pow.f64 x 6) -1/64)))
(/.f64 (fma.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (*.f64 x x) 1/2)) 8) (fma.f64 (pow.f64 x 6) -1/64 8))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (.f64 x -1/4)) -2)) (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))))) (.f64 4 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (fma.f64 x (.f64 x -1/4) -2))) 2) (+.f64 8 (.f64 (pow.f64 x 6) -1/64)))
(/.f64 (fma.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (*.f64 x x) 1/2)) 8) (fma.f64 (pow.f64 x 6) -1/64 8))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) 1)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 2 (/.f64 1 (fma.f64 x (.f64 x -1/4) 2)))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 (/.f64 2 (fma.f64 x (.f64 x -1/4) 2)) 1)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 1 (/.f64 2 (fma.f64 x (.f64 x -1/4) 2)))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (.f64 x -1/4) 2))) (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (.f64 x -1/4) 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (.f64 x -1/4) 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 (+.f64 2 (.f64 x (.f64 x 1/4))) (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (*.f64 x -1/4)) 2))))
(/.f64 (.f64 (+.f64 2 (.f64 x (.f64 x 1/4))) 2) (-.f64 4 (pow.f64 (.f64 x (*.f64 x -1/4)) 2)))
(/.f64 (+.f64 4 (.f64 (.f64 x x) 1/2)) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16)))
(.f64 (/.f64 1 (fma.f64 x (.f64 x -1/4) 2)) 2)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (.f64 x -1/4)) -2))) (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))))
(/.f64 (.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (fma.f64 x (.f64 x -1/4) -2))) 2) (+.f64 8 (.f64 (pow.f64 x 6) -1/64)))
(/.f64 (fma.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (*.f64 x x) 1/2)) 8) (fma.f64 (pow.f64 x 6) -1/64 8))
(.f64 -2 (/.f64 -1 (fma.f64 x (.f64 x -1/4) 2)))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2)) (/.f64 2 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 2 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2))
(.f64 (/.f64 1 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2))) (+.f64 4 (.f64 2 (.f64 x (.f64 x 1/4)))))
(/.f64 (.f64 (+.f64 2 (.f64 x (.f64 x 1/4))) 2) (-.f64 4 (pow.f64 (.f64 x (*.f64 x -1/4)) 2)))
(/.f64 (+.f64 4 (.f64 (.f64 x x) 1/2)) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16)))
(.f64 (/.f64 1 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (+.f64 8 (.f64 2 (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (*.f64 x -1/4)) -2)))))
(/.f64 (.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (fma.f64 x (.f64 x -1/4) -2))) 2) (+.f64 8 (.f64 (pow.f64 x 6) -1/64)))
(/.f64 (fma.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (*.f64 x x) 1/2)) 8) (fma.f64 (pow.f64 x 6) -1/64 8))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2))) (+.f64 2 (.f64 x (*.f64 x 1/4))))
(/.f64 (.f64 (+.f64 2 (.f64 x (.f64 x 1/4))) 2) (-.f64 4 (pow.f64 (.f64 x (*.f64 x -1/4)) 2)))
(/.f64 (+.f64 4 (.f64 (.f64 x x) 1/2)) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16)))
(.f64 (/.f64 2 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (.f64 x -1/4)) -2))))
(/.f64 (.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (fma.f64 x (.f64 x -1/4) -2))) 2) (+.f64 8 (.f64 (pow.f64 x 6) -1/64)))
(/.f64 (fma.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (*.f64 x x) 1/2)) 8) (fma.f64 (pow.f64 x 6) -1/64 8))
(.f64 (/.f64 -1 (fma.f64 x (.f64 x -1/4) 2)) -2)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(.f64 (/.f64 2 (neg.f64 (-.f64 4 (pow.f64 (.f64 x (.f64 x -1/4)) 2)))) (neg.f64 (+.f64 2 (.f64 x (*.f64 x 1/4)))))
(/.f64 (.f64 (+.f64 2 (.f64 x (.f64 x 1/4))) 2) (-.f64 4 (pow.f64 (.f64 x (*.f64 x -1/4)) 2)))
(/.f64 (+.f64 4 (.f64 (.f64 x x) 1/2)) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16)))
(.f64 (/.f64 2 (neg.f64 (+.f64 8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (+.f64 (.f64 x (.f64 x -1/4)) -2)))))
(/.f64 (.f64 (+.f64 4 (.f64 (.f64 x (.f64 x -1/4)) (fma.f64 x (.f64 x -1/4) -2))) 2) (+.f64 8 (.f64 (pow.f64 x 6) -1/64)))
(/.f64 (fma.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (*.f64 x x) 1/2)) 8) (fma.f64 (pow.f64 x 6) -1/64 8))
(.f64 (/.f64 2 (-.f64 (pow.f64 (.f64 x (.f64 x -1/4)) 2) 4)) (-.f64 (.f64 x (*.f64 x -1/4)) 2))
(/.f64 (.f64 (+.f64 2 (.f64 x (.f64 x 1/4))) 2) (-.f64 4 (pow.f64 (.f64 x (*.f64 x -1/4)) 2)))
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(.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2) x)) 1) (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2) x)) (sqrt.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2) x)) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (.f64 x (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))))
(.f64 (/.f64 x (cbrt.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)))) (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2) x)) (cbrt.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (.f64 x (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2)))) (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2)))))
(/.f64 (/.f64 (.f64 x -2) 1) (+.f64 -2 (.f64 x (*.f64 x 1/4))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 (.f64 x -2) (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) x)))
(.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 (.f64 x -2) (sqrt.f64 (+.f64 -2 (.f64 x (.f64 x 1/4))))) (sqrt.f64 (+.f64 -2 (.f64 x (*.f64 x 1/4)))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 (.f64 x -2) (.f64 (cbrt.f64 (+.f64 -2 (.f64 x (.f64 x 1/4)))) (cbrt.f64 (+.f64 -2 (.f64 x (.f64 x 1/4)))))) (cbrt.f64 (+.f64 -2 (.f64 x (.f64 x 1/4)))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 (.f64 x -2) -1) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(/.f64 (/.f64 (.f64 x -2) (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 2 (.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) x)))
(.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (.f64 x -2) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) 2)) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(pow.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)) 1)
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(pow.f64 (sqrt.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))) 2)
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(pow.f64 (cbrt.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))) 3)
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(pow.f64 (pow.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)) 3) 1/3)
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(sqrt.f64 (pow.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2)) 2))
(fabs.f64 (/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(cbrt.f64 (pow.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2)) 3))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(cbrt.f64 (.f64 (pow.f64 (/.f64 2 (fma.f64 x (.f64 x -1/4) 2)) 3) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (/.f64 8 (pow.f64 (fma.f64 x (.f64 x -1/4) 2) 3))))
(cbrt.f64 (/.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 (fma.f64 x (.f64 x -1/4) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(exp.f64 (log.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))
(log1p.f64 (expm1.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x -1/4) 2) 1/2))))
(/.f64 (/.f64 x 1/2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (.f64 x 2) (fma.f64 x (.f64 x -1/4) 2))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(*.f64 (*.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))

✓

29.0b

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

✓

29.0b

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

Compiler

Compiled 58 to 23 computations (60.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)) (+.f64 x x))
0.0ms	x	@	0	(/.f64 (.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)) (+.f64 x x))
0.0ms	x	@	0	(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
0.0ms	x	@	-inf	(/.f64 (.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)) (+.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))

rewrite121.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`swap-sqr`
780×	`distribute-rgt-in`
748×	`distribute-lft-in`
544×	`distribute-lft-neg-in`
470×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	117
1	268	105
2	4330	81

Stop Event

1×	node limit

Counts

3 → 434

Calls

Call 1

Inputs

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

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

(*.f64 (*.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) (*.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) (*.f64 0 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) x) (*.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (neg.f64 x)) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x))))) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x x)) (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) 0) (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/4)) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 x x)) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) -1/4))) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) -1/4) x)) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) -1/4) 1)) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/4))) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 x x))) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) -1/4)) x) (*.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) x) x) (*.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) 1) (*.f64 x x)) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/4)) 1) (*.f64 (*.f64 x (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 x x)) 1) (*.f64 (*.f64 x (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))))))

simplify225.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1640×	`associate-*l/`
1390×	`associate-/l*`
1088×	`associate-/r*`
592×	`*-commutative`
480×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	887	20778
1	2778	19292

Stop Event

1×	node limit

Counts

470 → 660

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 1/512 (pow.f64 x 7)) (+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (.f64 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) 0))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (.f64 0 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x))))
(+.f64 (.f64 x (fma.f64 -1/4 (.f64 x x) 2)) (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))
(+.f64 0 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) x) (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) x))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x))))) 1)
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 (+.f64 x x) x)) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 (+.f64 x x) x)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 x (+.f64 x x))) (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 x (+.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 (+.f64 x x) x)) (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 (+.f64 x x) x)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (neg.f64 x)) (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (neg.f64 x)))
(+.f64 (.f64 (+.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) -1/4))) (.f64 (+.f64 x x) (*.f64 x (+.f64 x x))))
(+.f64 (.f64 (+.f64 x x) (.f64 (.f64 (.f64 x x) -1/4) (.f64 x x))) (.f64 (+.f64 x x) (*.f64 x (+.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) x) (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) x))
(+.f64 (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (.f64 x (+.f64 x x))) (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (.f64 x (+.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (.f64 (+.f64 x x) x)) (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (.f64 (+.f64 x x) x)))
(+.f64 (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (neg.f64 x)) (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x x)) 2) (.f64 (/.f64 (.f64 x x) (+.f64 x x)) (.f64 (.f64 x x) -1/4)))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x x)) (.f64 (.f64 x x) -1/4)) (.f64 (/.f64 (.f64 x x) (+.f64 x x)) 2))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x x)) (.f64 (.f64 (.f64 x x) -1/4) 1)) (.f64 (/.f64 (*.f64 x x) (+.f64 x x)) 2))
(+.f64 (.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) 0) (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)))
(+.f64 (.f64 (.f64 x (+.f64 x x)) (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))) (.f64 (.f64 x (+.f64 x x)) (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))))
(+.f64 (.f64 (.f64 x (+.f64 x x)) (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))) (.f64 (.f64 x (+.f64 x x)) (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))))
(+.f64 (.f64 (.f64 x (+.f64 x x)) (fma.f64 -1/4 (.f64 x x) 2)) (.f64 (.f64 x (+.f64 x x)) (fma.f64 -1/4 (.f64 x x) 2)))
(+.f64 (.f64 (.f64 (+.f64 x x) x) (fma.f64 -1/4 (.f64 x x) 2)) (.f64 (.f64 (+.f64 x x) x) (fma.f64 -1/4 (.f64 x x) 2)))
(+.f64 (.f64 x (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))) (.f64 x (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))))
(+.f64 (.f64 (.f64 (+.f64 x x) x) (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))) (.f64 (.f64 (+.f64 x x) x) (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))))
(+.f64 (.f64 (neg.f64 x) (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))) (.f64 (neg.f64 x) (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) -1/4)) (+.f64 x x)) (.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) -1/4) (.f64 x x)) (+.f64 x x)) (.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)))
(+.f64 (.f64 x (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))) (.f64 x (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))))
(+.f64 (.f64 (.f64 (+.f64 x x) x) (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))) (.f64 (.f64 (+.f64 x x) x) (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))))
(+.f64 (.f64 (neg.f64 x) (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))) (.f64 (neg.f64 x) (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))))
(+.f64 (.f64 2 (/.f64 (.f64 x x) (+.f64 x x))) (.f64 (.f64 (.f64 x x) -1/4) (/.f64 (.f64 x x) (+.f64 x x))))
(+.f64 (.f64 (.f64 (.f64 x x) -1/4) (/.f64 (.f64 x x) (+.f64 x x))) (.f64 2 (/.f64 (.f64 x x) (+.f64 x x))))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) -1/4) 1) (/.f64 (.f64 x x) (+.f64 x x))) (.f64 2 (/.f64 (*.f64 x x) (+.f64 x x))))
(+.f64 (.f64 0 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x))) (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)))
(-.f64 0 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)))) 1)
(.f64 x (.f64 (.f64 x (fma.f64 -1/4 (.f64 x x) 2)) (+.f64 x x)))
(.f64 (.f64 x x) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)))
(.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x))
(.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (+.f64 x x))
(.f64 (+.f64 x x) (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))))
(.f64 (+.f64 x x) (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)))
(.f64 (+.f64 x x) (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))))
(.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (.f64 x x))
(.f64 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) 1)
(.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (.f64 x (neg.f64 x)))
(.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (/.f64 1 (.f64 x x)))
(.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (/.f64 (.f64 x x) (+.f64 x x)))
(.f64 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) -1)
(.f64 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) (/.f64 1 x))
(.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (neg.f64 (/.f64 1 (.f64 x x))))
(.f64 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) (neg.f64 (/.f64 1 x)))
(.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 x x))))
(.f64 1 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x))) (sqrt.f64 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x))))
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(.f64 (neg.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (.f64 x x) 2)) 2))) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(.f64 (neg.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (.f64 x x) 2)))) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (.f64 x x) 2)) 2))) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(pow.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(neg.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)) 3))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) 3)))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))))
(exp.f64 (-.f64 (log.f64 (+.f64 x x)) (log.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (.f64 x x) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))))
(+.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 (fma.f64 -1/4 (*.f64 x x) 2) 0))
(+.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (.f64 x (+.f64 x x)) (.f64 (.f64 x x) (.f64 (*.f64 x x) -1/4)))
(+.f64 (.f64 x (+.f64 x x)) (.f64 (.f64 (.f64 x x) -1/4) (*.f64 x x)))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) 0) (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) -1/4)) (*.f64 x (+.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) -1/4) (.f64 x x)) (*.f64 x (+.f64 x x)))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) -1/4))) (*.f64 x (+.f64 x x)))
(+.f64 (.f64 x (.f64 (.f64 (.f64 x x) -1/4) x)) (*.f64 x (+.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) -1/4) 1)) (.f64 x (+.f64 x x)))
(+.f64 (.f64 1 (.f64 (.f64 x x) (.f64 (.f64 x x) -1/4))) (.f64 x (+.f64 x x)))
(+.f64 (.f64 1 (.f64 (.f64 (.f64 x x) -1/4) (.f64 x x))) (.f64 x (+.f64 x x)))
(+.f64 (.f64 0 (fma.f64 -1/4 (.f64 x x) 2)) (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(+.f64 (.f64 (.f64 x (.f64 (.f64 x x) -1/4)) x) (*.f64 (+.f64 x x) x))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) -1/4) x) x) (*.f64 (+.f64 x x) x))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) -1/4) 1) (.f64 x x)) (.f64 x (+.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) -1/4)) 1) (.f64 (*.f64 x (+.f64 x x)) 1))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) -1/4) (.f64 x x)) 1) (.f64 (*.f64 x (+.f64 x x)) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))) 1)
(pow.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 1)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 -1/4 (.f64 x x) 2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3) 1/3)
(neg.f64 (.f64 x (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (neg.f64 x))))
(sqrt.f64 (.f64 (pow.f64 (fma.f64 -1/4 (.f64 x x) 2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (.f64 x x)) (fma.f64 -1/4 (.f64 x x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/4 (.f64 x x) 2) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))

Outputs
x
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(fma.f64 -1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(fma.f64 -1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(fma.f64 -1/8 (pow.f64 x 3) x)
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(fma.f64 -1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(fma.f64 -1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(fma.f64 -1/8 (pow.f64 x 3) x)
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(fma.f64 -1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(fma.f64 -1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) x)
(fma.f64 -1/8 (pow.f64 x 3) x)
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (.f64 1/512 (pow.f64 x 7)) (+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 512 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (neg.f64 (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 512 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (neg.f64 (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7))))))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 -1/4 (pow.f64 x 4))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (.f64 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x)) 0))
(.f64 2 (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)) (.f64 0 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (+.f64 x x))))
(.f64 2 (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (.f64 x (fma.f64 -1/4 (.f64 x x) 2)) (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))
(.f64 2 (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 0 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x)))
(.f64 2 (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) x) (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) x))
(.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(.f64 x (.f64 x (.f64 2 (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x)))
(.f64 2 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (neg.f64 x)))
(.f64 (fma.f64 -1/4 (.f64 x x) 2) (*.f64 x -2))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (+.f64 x x))))) 1)
(.f64 2 (.f64 (fma.f64 -1/4 (*.f64 x x) 2) (neg.f64 x)))
(.f64 (fma.f64 -1/4 (.f64 x x) 2) (*.f64 x -2))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(.f64 2 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (.f64 x 4)))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 (+.f64 x x) x)) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 (+.f64 x x) x)))
(.f64 2 (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (.f64 x 4)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 x (+.f64 x x))) (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 x (+.f64 x x))))
(.f64 (.f64 x (+.f64 x x)) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (*.f64 x (+.f64 x x))))
(.f64 (.f64 x (fma.f64 -1/4 (.f64 x x) 2)) (.f64 x (.f64 x (.f64 x 4))))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 (+.f64 x x) x)) (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (.f64 (+.f64 x x) x)))
(.f64 (.f64 x (+.f64 x x)) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (*.f64 x (+.f64 x x))))
(.f64 (.f64 x (fma.f64 -1/4 (.f64 x x) 2)) (.f64 x (.f64 x (.f64 x 4))))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (neg.f64 x)) (.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2))) (neg.f64 x)))
(.f64 (neg.f64 x) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(.f64 (.f64 x x) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (*.f64 x -2)))
(+.f64 (.f64 (+.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) -1/4))) (.f64 (+.f64 x x) (*.f64 x (+.f64 x x))))
(.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(.f64 x (.f64 x (.f64 2 (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(+.f64 (.f64 (+.f64 x x) (.f64 (.f64 (.f64 x x) -1/4) (.f64 x x))) (.f64 (+.f64 x x) (*.f64 x (+.f64 x x))))
(.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(.f64 x (.f64 x (.f64 2 (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(+.f64 (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) x) (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) x))
(.f64 (neg.f64 x) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(.f64 (.f64 x x) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (*.f64 x -2)))
(+.f64 (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (.f64 x (+.f64 x x))) (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (.f64 x (+.f64 x x))))
(.f64 2 (.f64 x (.f64 (neg.f64 x) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))))
(.f64 (.f64 x (neg.f64 (fma.f64 -1/4 (.f64 x x) 2))) (.f64 x (.f64 x (.f64 x 4))))
(+.f64 (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (.f64 (+.f64 x x) x)) (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (.f64 (+.f64 x x) x)))
(.f64 2 (.f64 x (.f64 (neg.f64 x) (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))))
(.f64 (.f64 x (neg.f64 (fma.f64 -1/4 (.f64 x x) 2))) (.f64 x (.f64 x (.f64 x 4))))
(+.f64 (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (neg.f64 x)) (.f64 (.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (neg.f64 x))) (neg.f64 x)))
(.f64 x (.f64 (fma.f64 -1/4 (.f64 x x) 2) (.f64 x (+.f64 x x))))
(.f64 x (.f64 x (.f64 2 (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x x)) 2) (.f64 (/.f64 (.f64 x x) (+.f64 x x)) (.f64 (.f64 x x) -1/4)))
(.f64 (fma.f64 -1/4 (.f64 x x) 2) (/.f64 (*.f64 x x) (+.f64 x x)))
(.f64 (fma.f64 -1/4 (.f64 x x) 2) (*.f64 (/.f64 x (+.f64 x x)) x))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x x)) (.f64 (.f64 x x) -1/4)) (.f64 (/.f64 (.f64 x x) (+.f64 x x)) 2))
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(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/4 (.f64 x x) 2) 3) (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (fma.f64 -1/4 (.f64 x x) 2)))) 1))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(fma.f64 2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) 1/4)
✓	0.0b	(.f64 (+.f64 x x) (+.f64 2 (.f64 (*.f64 x x) 1/4)))
✓	0.0b	(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))

Compiler

Compiled 69 to 42 computations (39.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))
0.0ms	x	@	inf	(.f64 (+.f64 x x) (+.f64 2 (.f64 (*.f64 x x) 1/4)))
0.0ms	x	@	0	(.f64 (+.f64 x x) (+.f64 2 (.f64 (*.f64 x x) 1/4)))
0.0ms	x	@	0	(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))
0.0ms	x	@	inf	(.f64 (.f64 x x) 1/4)

rewrite100.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`associate-/r/`
1402×	`associate-/l/`
362×	`add-sqr-sqrt`
352×	`*-un-lft-identity`
350×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	372	69
2	5357	69

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))
(.f64 (+.f64 x x) (+.f64 2 (.f64 (*.f64 x x) 1/4)))
(.f64 (.f64 x x) 1/4)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/4))))))))

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

904×	`associate-r`
682×	`distribute-lft-in`
682×	`associate-l`
628×	`distribute-rgt-in`
624×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	465	647
1	1468	647

Stop Event

1×	node limit

Counts

203 → 184

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 1/512 (pow.f64 x 7)) (+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
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(/.f64 (.f64 (+.f64 x x) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (-.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (.f64 (+.f64 x x) (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 x (.f64 x 1/4) 2) 0) 0)
(/.f64 (.f64 (fma.f64 x (.f64 x 1/4) 2) (.f64 2 (pow.f64 x 3))) (.f64 x x))
(/.f64 (.f64 0 (fma.f64 x (.f64 x 1/4) 2)) 0)
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (fma.f64 x (.f64 x 1/4) 2)) (.f64 x x))
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (+.f64 x x)) (-.f64 2 (.f64 x (.f64 x 1/4))))
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) (+.f64 x x)) (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))
(/.f64 (+.f64 x (-.f64 x (.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x))))) (-.f64 (+.f64 x x) (.f64 1/2 (*.f64 x x))))
(/.f64 (+.f64 x (-.f64 x (.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x))))) (.f64 1 (-.f64 (+.f64 x x) (.f64 1/2 (.f64 x x)))))
(/.f64 (+.f64 (+.f64 x x) (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (+.f64 x (+.f64 x (-.f64 (.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x))) (.f64 1/2 (*.f64 x x))))))
(/.f64 (+.f64 (+.f64 x x) (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (.f64 1 (+.f64 x (+.f64 x (-.f64 (.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x))) (.f64 1/2 (.f64 x x)))))))
(/.f64 (.f64 0 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (.f64 0 (-.f64 2 (.f64 x (*.f64 x 1/4)))))
(/.f64 (.f64 0 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (.f64 1 (.f64 0 (-.f64 2 (.f64 x (.f64 x 1/4))))))
(/.f64 (.f64 0 (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (.f64 0 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x))))))
(/.f64 (.f64 0 (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (.f64 1 (.f64 0 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (.f64 (.f64 x x) (-.f64 2 (.f64 x (*.f64 x 1/4)))))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (.f64 1 (.f64 (.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4))))))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (.f64 (.f64 x x) (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x))))))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (.f64 1 (.f64 (.f64 x x) (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))))
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) 0) (.f64 (-.f64 2 (.f64 x (*.f64 x 1/4))) 0))
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) 0) (.f64 1 (.f64 (-.f64 2 (.f64 x (.f64 x 1/4))) 0)))
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (.f64 2 (pow.f64 x 3))) (.f64 (-.f64 2 (.f64 x (.f64 x 1/4))) (*.f64 x x)))
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (.f64 2 (pow.f64 x 3))) (.f64 1 (.f64 (-.f64 2 (.f64 x (.f64 x 1/4))) (.f64 x x))))
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) 0) (.f64 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x)))) 0))
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) 0) (.f64 1 (.f64 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))) 0)))
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) (.f64 2 (pow.f64 x 3))) (.f64 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x)))) (.f64 x x)))
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) (.f64 2 (pow.f64 x 3))) (.f64 1 (.f64 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x)))) (*.f64 x x))))
(pow.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 3))
(cbrt.f64 (.f64 (+.f64 x x) (pow.f64 (fma.f64 x (.f64 x 1/4) 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x 1/4) 2) 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
(exp.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (.f64 1/2 (*.f64 x x))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
(fma.f64 (+.f64 x x) 2 (.f64 1/2 (.f64 x x)))
(fma.f64 2 (+.f64 x x) (.f64 1/2 (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/4)))) 1)
(pow.f64 (.f64 x (.f64 x 1/4)) 1)
(pow.f64 (*.f64 1/16 (pow.f64 x 4)) 1/2)
(pow.f64 (*.f64 x 1/2) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/64) 1/3)
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
(fabs.f64 (.f64 x (.f64 x 1/4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/4)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/64))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/4))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/4))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/4))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/4))))

Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
x
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
x
(+.f64 (.f64 1/512 (pow.f64 x 7)) (+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
x
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(/.f64 -8 x)
x
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(*.f64 4 x)
x
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 4 x))
x
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 4 x))
x
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 4 x))
x
(*.f64 1/2 (pow.f64 x 3))
x
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 4 x))
x
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 4 x))
x
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 4 x))
x
(*.f64 1/2 (pow.f64 x 3))
x
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 4 x))
x
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 4 x))
x
(+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 4 x))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(*.f64 1/4 (pow.f64 x 2))
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4)))))) 1)
x
(.f64 (+.f64 x x) (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (*.f64 x 1/4)))))
x
(.f64 (+.f64 x x) (.f64 (fma.f64 x (.f64 x 1/4) 2) (/.f64 1 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (+.f64 x x) (/.f64 1 (-.f64 2 (.f64 x (*.f64 x 1/4)))))
x
(.f64 (fma.f64 x (.f64 x 1/4) 2) (.f64 (+.f64 x x) (/.f64 1 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (fma.f64 x (.f64 x 1/4) 2) (/.f64 (+.f64 x x) (+.f64 4 (*.f64 (pow.f64 x 4) -1/16))))
x
(.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (/.f64 1 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))))
x
(.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (/.f64 (+.f64 4 (.f64 1/16 (pow.f64 x 4))) (-.f64 16 (*.f64 1/256 (pow.f64 x 8)))))
x
(.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (/.f64 (+.f64 (.f64 1/256 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) 16)) (-.f64 64 (.f64 1/4096 (pow.f64 (pow.f64 x 4) 3)))))
x
(.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (*.f64 x 1/4)))) (+.f64 x x))
x
(.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (*.f64 x 1/4)))) 1)
x
(.f64 1 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (*.f64 x 1/4)))))
x
(.f64 (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 2 (.f64 x (.f64 x 1/4))))) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 2 (.f64 x (*.f64 x 1/4))))))
x
(.f64 (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (.f64 (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (/.f64 1 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 2 (.f64 x (.f64 x 1/4))))) (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 2 (.f64 x (*.f64 x 1/4))))) 2))
x
(.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 2 (.f64 x (.f64 x 1/4))))) 2) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 2 (.f64 x (*.f64 x 1/4))))))
x
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 2) (.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (/.f64 1 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 1 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))))
x
(.f64 (neg.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (/.f64 1 (+.f64 -4 (.f64 1/16 (pow.f64 x 4)))))
x
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))) (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) 2)) (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (cbrt.f64 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 1 (-.f64 2 (.f64 x (*.f64 x 1/4)))) (+.f64 x x))
x
(.f64 (/.f64 (fma.f64 x (.f64 x 1/4) 2) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))) (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 (+.f64 x x) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (fma.f64 x (*.f64 x 1/4) 2))
x
(.f64 (/.f64 (+.f64 x x) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))))
x
(.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (-.f64 16 (.f64 1/256 (pow.f64 x 8)))) (+.f64 4 (*.f64 1/16 (pow.f64 x 4))))
x
(.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (-.f64 64 (.f64 1/4096 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (.f64 1/256 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) 16)))
x
(.f64 (/.f64 1 (-.f64 16 (.f64 1/256 (pow.f64 x 8)))) (.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (+.f64 4 (.f64 1/16 (pow.f64 x 4)))))
x
(.f64 (/.f64 1 (-.f64 64 (.f64 1/4096 (pow.f64 (pow.f64 x 4) 3)))) (.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 1/256 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) 16))))
x
(.f64 (/.f64 1 (+.f64 -4 (.f64 1/16 (pow.f64 x 4)))) (neg.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))) (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))) (/.f64 (fma.f64 x (.f64 x 1/4) 2) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) 2)) (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (cbrt.f64 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) 2)) (/.f64 (fma.f64 x (.f64 x 1/4) 2) (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 (fma.f64 x (.f64 x 1/4) 2) (pow.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 1) (/.f64 (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))))
x
(.f64 (/.f64 (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(.f64 (/.f64 (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) 2)) (/.f64 (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (cbrt.f64 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))))
x
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 2) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))) (/.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (sqrt.f64 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 2 (.f64 x (.f64 x 1/4))))))
x
(.f64 (/.f64 (+.f64 x x) (-.f64 16 (.f64 1/256 (pow.f64 x 8)))) (.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (+.f64 4 (.f64 1/16 (pow.f64 x 4)))))
x
(.f64 (/.f64 (+.f64 x x) (-.f64 16 (.f64 1/256 (pow.f64 x 8)))) (.f64 (fma.f64 x (.f64 x 1/4) 2) (+.f64 4 (*.f64 1/16 (pow.f64 x 4)))))
x
(.f64 (/.f64 (+.f64 x x) (-.f64 64 (.f64 1/4096 (pow.f64 (pow.f64 x 4) 3)))) (.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 1/256 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) 16))))
x
(.f64 (/.f64 (+.f64 x x) (-.f64 64 (.f64 1/4096 (pow.f64 (pow.f64 x 4) 3)))) (.f64 (fma.f64 x (.f64 x 1/4) 2) (+.f64 (.f64 1/256 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) 16))))
x
(.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (neg.f64 (-.f64 16 (.f64 1/256 (pow.f64 x 8))))) (neg.f64 (+.f64 4 (*.f64 1/16 (pow.f64 x 4)))))
x
(.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (neg.f64 (-.f64 64 (.f64 1/4096 (pow.f64 (pow.f64 x 4) 3))))) (neg.f64 (+.f64 (.f64 1/256 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) 16))))
x
(.f64 (/.f64 (+.f64 x x) (+.f64 -4 (.f64 1/16 (pow.f64 x 4)))) (neg.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(.f64 (/.f64 (+.f64 x x) (+.f64 -4 (.f64 1/16 (pow.f64 x 4)))) (neg.f64 (fma.f64 x (*.f64 x 1/4) 2)))
x
(.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (sqrt.f64 (fma.f64 x (.f64 x 1/4) 2)))) (sqrt.f64 (fma.f64 x (.f64 x 1/4) 2)))
x
(.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/4) 2)) 2))) (cbrt.f64 (fma.f64 x (.f64 x 1/4) 2)))
x
(.f64 (/.f64 (+.f64 x x) (-.f64 8 (.f64 (pow.f64 x 6) 1/64))) (+.f64 4 (+.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))
x
(.f64 (/.f64 (+.f64 x x) (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (+.f64 x x))) (fma.f64 x (.f64 x 1/4) 2))
x
(.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))) (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 2))) (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(.f64 (/.f64 2 (-.f64 2 (.f64 x (*.f64 x 1/4)))) x)
x
(.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (-.f64 16 (.f64 (.f64 (pow.f64 x 4) -1/16) (.f64 (pow.f64 x 4) -1/16)))) (+.f64 4 (*.f64 1/16 (pow.f64 x 4))))
x
(.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (+.f64 64 (pow.f64 (.f64 (pow.f64 x 4) -1/16) 3))) (+.f64 16 (-.f64 (.f64 (.f64 (pow.f64 x 4) -1/16) (.f64 (pow.f64 x 4) -1/16)) (.f64 4 (*.f64 (pow.f64 x 4) -1/16)))))
x
(.f64 (/.f64 1 (/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))) (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(.f64 (/.f64 1 (/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 2))) (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 2) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(.f64 (/.f64 (neg.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (neg.f64 (-.f64 16 (.f64 1/256 (pow.f64 x 8))))) (+.f64 4 (*.f64 1/16 (pow.f64 x 4))))
x
(.f64 (/.f64 (neg.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) (neg.f64 (-.f64 64 (.f64 1/4096 (pow.f64 (pow.f64 x 4) 3))))) (+.f64 (.f64 1/256 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) 16)))
x
(.f64 (/.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))) (sqrt.f64 (-.f64 64 (.f64 1/4096 (pow.f64 (pow.f64 x 4) 3))))) (sqrt.f64 (+.f64 (.f64 1/256 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) 16))))
x
(.f64 (/.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (sqrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)))) (sqrt.f64 (-.f64 16 (.f64 1/256 (pow.f64 x 8))))) (sqrt.f64 (+.f64 4 (.f64 1/16 (pow.f64 x 4)))))
x
(.f64 (/.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) 2)) (cbrt.f64 (-.f64 64 (.f64 1/4096 (pow.f64 (pow.f64 x 4) 3))))) (cbrt.f64 (+.f64 (.f64 1/256 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) 16))))
(.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 1/2 (.f64 x x) x)) (pow.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) 2)) (cbrt.f64 (+.f64 64 (.f64 -1/4096 (pow.f64 (pow.f64 x 4) 3))))) (cbrt.f64 (fma.f64 1/256 (pow.f64 x 8) (fma.f64 1/4 (pow.f64 x 4) 16))))
(.f64 (/.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) 2)) (cbrt.f64 (-.f64 16 (.f64 1/256 (pow.f64 x 8))))) (cbrt.f64 (+.f64 4 (.f64 1/16 (pow.f64 x 4)))))
x
(pow.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4)))) 1)
x
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 2 (.f64 x (.f64 x 1/4))))) 2)
x
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 2 (.f64 x (.f64 x 1/4))))) 3)
x
(pow.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4)))) 3) 1/3)
x
(pow.f64 (.f64 (+.f64 x x) (-.f64 2 (.f64 x (*.f64 x 1/4)))) -1)
x
(neg.f64 (/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (+.f64 -4 (*.f64 1/16 (pow.f64 x 4)))))
x
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4)))) 2))
x
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4))))))
x
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4)))))))
x
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4)))) 3))
x
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 3) (pow.f64 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)) 3)))
x
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4))))))
x
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4))))))
x
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (*.f64 x 1/4))))) 1))
x
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4))))))
x
(+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))
x
(+.f64 x (+.f64 x (.f64 (.f64 1/2 (*.f64 x x)) 1)))
x
(+.f64 (+.f64 x x) (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))))
x
(+.f64 (+.f64 x x) (.f64 1/2 (.f64 x x)))
x
(+.f64 (+.f64 x x) (.f64 (.f64 1/2 (*.f64 x x)) 1))
x
(+.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) (+.f64 x x))
x
(+.f64 (.f64 1/2 (.f64 x x)) (+.f64 x x))
x
(+.f64 (.f64 (.f64 x (.f64 x 1/4)) x) (+.f64 (.f64 (.f64 x (.f64 x 1/4)) x) (+.f64 x x)))
x
(+.f64 (.f64 x (fma.f64 x (.f64 x 1/4) 2)) (.f64 x (fma.f64 x (.f64 x 1/4) 2)))
x
(+.f64 (.f64 x (.f64 x (.f64 x 1/4))) (+.f64 (.f64 x (.f64 x (.f64 x 1/4))) (+.f64 x x)))
x
(+.f64 (.f64 x (+.f64 x x)) (+.f64 (.f64 x (+.f64 x x)) (.f64 1/2 (.f64 x x))))
x
(+.f64 (.f64 x (+.f64 x x)) (+.f64 (.f64 x (+.f64 x x)) (.f64 (.f64 1/2 (*.f64 x x)) 1)))
x
(+.f64 (.f64 (fma.f64 x (.f64 x 1/4) 2) x) (.f64 (fma.f64 x (.f64 x 1/4) 2) x))
x
(+.f64 (.f64 (.f64 1/2 (*.f64 x x)) 1) (+.f64 x x))
x
(+.f64 (+.f64 (+.f64 x x) (.f64 (.f64 x (.f64 x 1/4)) x)) (.f64 (.f64 x (.f64 x 1/4)) x))
x
(+.f64 (+.f64 (+.f64 x x) (.f64 x (.f64 x (.f64 x 1/4)))) (.f64 x (.f64 x (.f64 x 1/4))))
x
(+.f64 (+.f64 (.f64 1/2 (.f64 x x)) x) x)
x
(+.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 x (+.f64 x x))) (.f64 x (+.f64 x x)))
x
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))))) 1)
x
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) (-.f64 1 (.f64 1/2 (.f64 x x))))
x
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) (-.f64 1 (.f64 (.f64 1/2 (*.f64 x x)) 1)))
x
(-.f64 (/.f64 (.f64 x x) 0) (-.f64 (/.f64 (.f64 x x) 0) (.f64 1/2 (.f64 x x))))
x
(-.f64 (/.f64 (.f64 x x) 0) (-.f64 (/.f64 (.f64 x x) 0) (.f64 (.f64 1/2 (*.f64 x x)) 1)))
x
(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (exp.f64 (log1p.f64 (+.f64 x x)))) 1)
x
(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (/.f64 (.f64 x x) 0)) (/.f64 (.f64 x x) 0))
x
(/.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 1)
x
(/.f64 (.f64 (+.f64 x x) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (-.f64 2 (.f64 x (.f64 x 1/4))))
x
(/.f64 (.f64 (+.f64 x x) (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))
x
(/.f64 (.f64 (fma.f64 x (.f64 x 1/4) 2) 0) 0)
x
(/.f64 (.f64 (fma.f64 x (.f64 x 1/4) 2) (.f64 2 (pow.f64 x 3))) (.f64 x x))
x
(/.f64 (.f64 0 (fma.f64 x (.f64 x 1/4) 2)) 0)
x
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (fma.f64 x (.f64 x 1/4) 2)) (.f64 x x))
x
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (+.f64 x x)) (-.f64 2 (.f64 x (.f64 x 1/4))))
x
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) (+.f64 x x)) (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))
x
(/.f64 (+.f64 x (-.f64 x (.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x))))) (-.f64 (+.f64 x x) (.f64 1/2 (*.f64 x x))))
x
(/.f64 (+.f64 x (-.f64 x (.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x))))) (.f64 1 (-.f64 (+.f64 x x) (.f64 1/2 (.f64 x x)))))
x
(/.f64 (+.f64 (+.f64 x x) (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (+.f64 x (+.f64 x (-.f64 (.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x))) (.f64 1/2 (*.f64 x x))))))
x
(/.f64 (+.f64 (+.f64 x x) (pow.f64 (.f64 1/2 (.f64 x x)) 3)) (.f64 1 (+.f64 x (+.f64 x (-.f64 (.f64 (.f64 1/2 (.f64 x x)) (.f64 1/2 (.f64 x x))) (.f64 1/2 (.f64 x x)))))))
x
(/.f64 (.f64 0 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (.f64 0 (-.f64 2 (.f64 x (*.f64 x 1/4)))))
x
(/.f64 (.f64 0 (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (.f64 1 (.f64 0 (-.f64 2 (.f64 x (.f64 x 1/4))))))
x
(/.f64 (.f64 0 (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (.f64 0 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x))))))
x
(/.f64 (.f64 0 (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (.f64 1 (.f64 0 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))))
x
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (.f64 (.f64 x x) (-.f64 2 (.f64 x (*.f64 x 1/4)))))
x
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 4 (.f64 (pow.f64 x 4) -1/16))) (.f64 1 (.f64 (.f64 x x) (-.f64 2 (.f64 x (.f64 x 1/4))))))
x
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (.f64 (.f64 x x) (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x))))))
x
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 8 (.f64 (pow.f64 x 6) 1/64))) (.f64 1 (.f64 (.f64 x x) (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))))))
x
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) 0) (.f64 (-.f64 2 (.f64 x (*.f64 x 1/4))) 0))
x
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) 0) (.f64 1 (.f64 (-.f64 2 (.f64 x (.f64 x 1/4))) 0)))
x
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (.f64 2 (pow.f64 x 3))) (.f64 (-.f64 2 (.f64 x (.f64 x 1/4))) (*.f64 x x)))
x
(/.f64 (.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/16)) (.f64 2 (pow.f64 x 3))) (.f64 1 (.f64 (-.f64 2 (.f64 x (.f64 x 1/4))) (.f64 x x))))
x
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) 0) (.f64 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x)))) 0))
x
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) 0) (.f64 1 (.f64 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (*.f64 x x)))) 0)))
x
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) (.f64 2 (pow.f64 x 3))) (.f64 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x)))) (.f64 x x)))
x
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/64)) (.f64 2 (pow.f64 x 3))) (.f64 1 (.f64 (+.f64 4 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 1/2 (.f64 x x)))) (*.f64 x x))))
x
(pow.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 1)
x
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 2)
x
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))) 3)
x
(pow.f64 (pow.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 3) 1/3)
x
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 2))
x
(log.f64 (exp.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))))))
x
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x)))) 3))
x
(cbrt.f64 (.f64 (+.f64 x x) (pow.f64 (fma.f64 x (.f64 x 1/4) 2) 3)))
x
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x 1/4) 2) 3) (+.f64 x x)))
x
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(exp.f64 (log.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(exp.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (.f64 1/2 (*.f64 x x))))) 1))
x
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (.f64 1/2 (.f64 x x))))))
x
(fma.f64 (+.f64 x x) 2 (.f64 1/2 (.f64 x x)))
x
(fma.f64 2 (+.f64 x x) (.f64 1/2 (.f64 x x)))
x
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/4)))) 1)
x
(pow.f64 (.f64 x (.f64 x 1/4)) 1)
x
(pow.f64 (*.f64 1/16 (pow.f64 x 4)) 1/2)
x
(pow.f64 (*.f64 x 1/2) 2)
x
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) 3)
x
(pow.f64 (*.f64 (pow.f64 x 6) 1/64) 1/3)
x
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
x
(fabs.f64 (.f64 x (.f64 x 1/4)))
x
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4))
x
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/4)))))
x
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/64))
x
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/4))))
x
(exp.f64 (log.f64 (.f64 x (.f64 x 1/4))))
x
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/4))) 1))
x
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/4))))
x

eval417.0ms (5.8%)

Compiler: Compiled 25859 to 14722 computations (43.1% saved)

prune229.0ms (3.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1095	1	1096
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	1096	7	1103

Error

Counts

1103 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(/.f64 (.f64 x x) (/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) -1/4) x) x) (.f64 (+.f64 x x) x)) (+.f64 x x)))
✓	31.1b	(/.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (fma.f64 -1/4 (.f64 x x) 2)) (+.f64 x x)))
✓	58.5b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓	0.1b	(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
✓	0.0b	(*.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x)
✓	0.1b	(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)
	0.6b	x

Compiler

Compiled 95 to 60 computations (36.8% saved)

regimes13.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

Inputs
x
(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)
(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
(.f64 (/.f64 1 (+.f64 2 (.f64 -1/4 (*.f64 x x)))) (+.f64 x x))
(/.f64 (.f64 x x) (/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) -1/4) x) x) (.f64 (+.f64 x x) x)) (+.f64 x x)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (fma.f64 -1/4 (.f64 x x) 2)) (+.f64 x x)))
(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))

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

Calls

2 calls:

7.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Results

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

Compiler

Compiled 179 to 109 computations (39.1% saved)

regimes9.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
x
(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)
(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
(.f64 (/.f64 1 (+.f64 2 (.f64 -1/4 (*.f64 x x)))) (+.f64 x x))
(/.f64 (.f64 x x) (/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) -1/4) x) x) (.f64 (+.f64 x x) x)) (+.f64 x x)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (fma.f64 -1/4 (.f64 x x) 2)) (+.f64 x x)))
(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Outputs
(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))

Calls

2 calls:

5.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))`

Compiler

Compiled 125 to 71 computations (43.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -31.5b remaining (-28296.1%)

Threshold costs -31.5b (-28296.1%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)
(/.f64 (+.f64 x x) (+.f64 2 (.f64 x (.f64 x -1/4))))
(.f64 (/.f64 1 (+.f64 2 (.f64 -1/4 (*.f64 x x)))) (+.f64 x x))
(/.f64 (.f64 x x) (/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) -1/4) x) x) (.f64 (+.f64 x x) x)) (+.f64 x x)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) (fma.f64 -1/4 (.f64 x x) 2)) (+.f64 x x)))

Outputs
(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 87 to 44 computations (49.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	126
1	52	126
2	64	126
3	70	126
4	74	126
5	75	126

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x)
(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))
(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)
x

Outputs
(*.f64 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x)
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (-.f64 4 (.f64 1/16 (pow.f64 x 4))))
(/.f64 (.f64 (+.f64 x x) (+.f64 2 (.f64 (.f64 x x) 1/4))) (+.f64 4 (.f64 -1/16 (pow.f64 x 4))))
(.f64 (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))) x)
(.f64 x (/.f64 2 (+.f64 2 (.f64 x (*.f64 x -1/4)))))
x

Compiler

Compiled 48 to 36 computations (25% saved)

soundness81.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1208×	`+-commutative`
1000×	`associate-+l-`
966×	`associate-+r-`
918×	`associate--r+`
528×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	478	9955
1	1202	9433
2	5715	9425

Stop Event

1×	node limit

Compiler

Compiled 72 to 48 computations (33.3% saved)

end31.0ms (0.4%)

Compiler: Compiled 45 to 33 computations (26.7% saved)

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27
0	1	1

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27
0	1	1

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27

Details

analyze0.0ms (0%)

sample2.3s (32%)

preprocess13.0ms (0.2%)

simplify22.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series8.0ms (0.1%)

rewrite88.0ms (1.2%)

simplify129.0ms (1.8%)

eval126.0ms (1.7%)

prune39.0ms (0.5%)

localize21.0ms (0.3%)

series3.0ms (0%)

rewrite85.0ms (1.2%)

simplify125.0ms (1.7%)

localize17.0ms (0.2%)

series2.0ms (0%)

rewrite86.0ms (1.2%)

simplify103.0ms (1.4%)

localize8.0ms (0.1%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite110.0ms (1.5%)

simplify151.0ms (2.1%)

eval783.0ms (10.9%)

prune360.0ms (5%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite88.0ms (1.2%)

simplify127.0ms (1.8%)

localize23.0ms (0.3%)

series1.0ms (0%)

rewrite71.0ms (1%)

simplify73.0ms (1%)

localize11.0ms (0.2%)

eval423.0ms (5.9%)

prune189.0ms (2.6%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite113.0ms (1.6%)

simplify100.0ms (1.4%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite121.0ms (1.7%)

simplify225.0ms (3.1%)

localize21.0ms (0.3%)

series2.0ms (0%)

rewrite100.0ms (1.4%)

simplify59.0ms (0.8%)

eval417.0ms (5.8%)

prune229.0ms (3.2%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

simplify6.0ms (0.1%)

soundness81.0ms (1.1%)

end31.0ms (0.4%)

Profiling

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27
0	1	1

Iter	Nodes	Cost
0	10	27
1	17	27
2	24	27
3	38	27
4	53	27
5	80	27
6	145	27
7	194	27
8	241	27
9	286	27
10	310	27
11	312	27