Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
66.7%	50%	25%	0%	0%	25%	0%	4
83.3%	62.5%	12.5%	0%	0%	25%	0%	5
91.7%	68.7%	6.2%	0%	0%	25%	0%	6
95.8%	71.8%	3.1%	0%	0%	25%	0%	7
97.9%	73.4%	1.6%	0%	0%	25%	0%	8
99%	74.2%	0.8%	0%	0%	25%	0%	9
99.5%	74.6%	0.4%	0%	0%	25%	0%	10
99.7%	74.8%	0.2%	0%	0%	25%	0%	11
99.9%	74.9%	0.1%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample896.0ms (12.9%)

Results

881.0ms	8252×	body	256	valid
1.0ms	4×	body	2048	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	13	23
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	13	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% 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

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 24 to 18 computations (25% saved)

series4.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	-inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	0	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	-inf	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x 1))

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`associate-*r/`
946×	`associate-*l/`
936×	`associate-/r*`
858×	`*-commutative`
696×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	194	51
2	2690	51

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

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

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

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

simplify119.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

814×	`associate-+l+`
782×	`associate-+r+`
640×	`associate-/l*`
616×	`+-commutative`
608×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	7516
1	1234	6766
2	5160	6716

Stop Event

1×	node limit

Counts

208 → 300

Calls

Call 1

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

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

eval154.0ms (2.2%)

Compiler: Compiled 5411 to 4151 computations (23.3% saved)

prune51.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	295	5	300
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	295	6	301

Error

Counts

301 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
▶	17.5b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	17.9b	(/.f64 x 2)
▶	42.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	5.0b	(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 107 to 85 computations (20.6% saved)

localize67.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
✓	0.2b	(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite119.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`associate-*r/`
1160×	`associate-*l/`
1134×	`associate-/r*`
970×	`*-commutative`
788×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	239	46
2	3154	46

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1038×	`distribute-lft-in`
1022×	`distribute-rgt-in`
962×	`unswap-sqr`
602×	`associate-/l*`
510×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	472	8246
1	1137	7976
2	4141	7946

Stop Event

1×	node limit

Counts

204 → 319

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`add-sqr-sqrt`
1876×	`*-un-lft-identity`
1766×	`add-cube-cbrt`
1750×	`add-cbrt-cube`
174×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	180	15
2	2321	15

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))))))

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1684×	`distribute-lft-in`
1334×	`associate-+r+`
1012×	`associate-+l+`
642×	`associate-*r/`
484×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1034
1	330	1006
2	1175	1002
3	4684	1002

Stop Event

1×	node limit

Counts

46 → 73

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(.f64 (/.f64 x (+.f64 (.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))
(.f64 (/.f64 x (+.f64 8 (.f64 (pow.f64 x 3) 1/8))) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 -1/8 (*.f64 x 1/32))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (.f64 1/2 x))))
(fma.f64 x (.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 x (.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -8 x) (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 128 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -8 x) (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (fma.f64 1/2 x 2)))
(/.f64 x (*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2))))
(.f64 (/.f64 x (+.f64 (.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))
(/.f64 (.f64 x (fma.f64 x 1/2 -2)) (fma.f64 (.f64 x x) 1/4 -4))
(/.f64 (.f64 x (fma.f64 1/2 x -2)) (fma.f64 x (.f64 x 1/4) -4))
(/.f64 (fma.f64 1/2 x -2) (/.f64 (fma.f64 x (*.f64 x 1/4) -4) x))
(.f64 (/.f64 x (+.f64 8 (.f64 (pow.f64 x 3) 1/8))) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 4 x)))
(.f64 (/.f64 x (+.f64 8 (.f64 (pow.f64 x 3) 1/8))) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x)))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 3) 1/8 8)) (fma.f64 x (.f64 x 1/4) (-.f64 4 x)))
(/.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x) (/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (fma.f64 1/2 x 2)))
(/.f64 x (*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	4.1b	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`add-sqr-sqrt`
1798×	`*-un-lft-identity`
1674×	`add-cube-cbrt`
1662×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	17
2	2320	17

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

942×	`associate-r`
856×	`*-commutative`
780×	`associate-l`
686×	`associate-+r+`
628×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1169
1	242	1079
2	842	1075
3	3789	865

Stop Event

1×	node limit

Counts

37 → 54

Calls

Call 1

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

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

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
✓	0.0b	(pow.f64 (+.f64 x 1) 3/2)
✓	0.1b	(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
✓	4.8b	(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))

Compiler

Compiled 62 to 48 computations (22.6% saved)

series12.0ms (0.2%)

Counts

4 → 42

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
3.0ms	x	@	-inf	(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
2.0ms	x	@	inf	(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
2.0ms	x	@	inf	(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
0.0ms	x	@	0	(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))

rewrite190.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`associate-/r*`
1222×	`associate-/l*`
534×	`associate-+l+`
374×	`+-commutative`
358×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	110
1	345	110
2	4916	110

Stop Event

1×	node limit

Counts

4 → 281

Calls

Call 1

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

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

simplify249.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-/l*`
1122×	`associate-/r*`
1038×	`associate-/l/`
890×	`associate-r`
756×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	837	22737
1	2221	22375

Stop Event

1×	node limit

Counts

323 → 507

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -3/8 (pow.f64 x 2)))
(+.f64 (.f64 3/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2))))
(+.f64 (.f64 3/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/8 (pow.f64 x 2)) (.f64 -7/128 (pow.f64 x 4)))))
(/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(+.f64 (.f64 -3/2 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))
(-.f64 (+.f64 (.f64 -3/2 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))) (.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))))
(-.f64 (+.f64 (.f64 -3/2 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (+.f64 (.f64 9/16 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))))) (+.f64 (.f64 3/8 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))) (+.f64 (.f64 -1/16 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (/.f64 1 x)))) (.f64 3/2 (.f64 (/.f64 (-.f64 (.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)) (sqrt.f64 (/.f64 1 x)))))))
(/.f64 x (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (.f64 -3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
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1
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2
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(/.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))
(pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 3))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (+.f64 x 1) 3/2))))
(exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(fma.f64 1 (pow.f64 (+.f64 x 1) 3/2) 1)
(fma.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -3/8 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 -3/8 (.f64 x x)))
(fma.f64 1/2 x (.f64 x (.f64 x -3/8)))
(+.f64 (.f64 3/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -3/8 (.f64 x x))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (.f64 x (.f64 x -3/8))))
(+.f64 (.f64 3/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/8 (pow.f64 x 2)) (.f64 -7/128 (pow.f64 x 4)))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -3/8 (.f64 x x) (.f64 -7/128 (pow.f64 x 4)))))
(/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(+.f64 (.f64 -3/2 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))
(fma.f64 -3/2 (/.f64 (*.f64 1 (sqrt.f64 (pow.f64 x 3))) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(+.f64 (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))) (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))))
(-.f64 (+.f64 (.f64 -3/2 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))) (.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))))
(-.f64 (fma.f64 -3/2 (/.f64 (.f64 1 (sqrt.f64 (pow.f64 x 3))) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (fma.f64 9/4 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))) (*.f64 3/8 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))))
(+.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))) (-.f64 (fma.f64 9/4 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))) (*.f64 (sqrt.f64 x) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))))
(-.f64 (+.f64 (.f64 -3/2 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (+.f64 (.f64 9/16 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))))) (+.f64 (.f64 3/8 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))) (+.f64 (.f64 -1/16 (.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (/.f64 1 x)))) (.f64 3/2 (.f64 (/.f64 (-.f64 (.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)) (sqrt.f64 (/.f64 1 x)))))))
(-.f64 (fma.f64 -3/2 (/.f64 (.f64 1 (sqrt.f64 (pow.f64 x 3))) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (fma.f64 9/4 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (fma.f64 9/16 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))))) (fma.f64 3/8 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (fma.f64 -1/16 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (sqrt.f64 (/.f64 1 x))) (.f64 3/2 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (/.f64 (.f64 9/4 (pow.f64 x 3)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (.f64 -3/8 (/.f64 (.f64 1 (sqrt.f64 (pow.f64 x 3))) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))))))
(+.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))) (-.f64 (fma.f64 9/4 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (fma.f64 9/16 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))) (fma.f64 3/8 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 -1/16 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))) (.f64 3/2 (/.f64 (-.f64 (/.f64 9/4 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3) (pow.f64 x 3))) (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 3/8 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (/.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) (sqrt.f64 (/.f64 1 x)))))))))
(/.f64 x (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (.f64 -3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 2)) (/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(+.f64 (.f64 -3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2) x))) (+.f64 (.f64 9/4 (/.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (.f64 (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3) x))) (+.f64 (.f64 -3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))))
(fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 x (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 2))) (fma.f64 9/4 (/.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (.f64 x (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 3))) (fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 2)) (/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))
(fma.f64 -3/8 (/.f64 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 2)) (fma.f64 9/4 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 3)) (fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 2)) (/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))
(+.f64 (.f64 9/4 (/.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (.f64 (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3) x))) (+.f64 (.f64 -3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2) x))) (+.f64 (.f64 -3/2 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (+.f64 (/.f64 x (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 -1 (/.f64 (+.f64 (.f64 -9/16 (/.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3))) (+.f64 (.f64 -1/16 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (.f64 3/2 (/.f64 (.f64 (+.f64 (.f64 -3/8 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (.f64 9/4 (/.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3)))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 2)))))))
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1
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2
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(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 9/2)) (-.f64 -1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3)
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 3) 1/3)
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 3))
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (+.f64 x 1) 3/2))))
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)) 1))
(exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(fma.f64 1 (pow.f64 (+.f64 x 1) 3/2) 1)
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(fma.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4) 1)
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))

eval1.2s (17.5%)

Compiler: Compiled 30261 to 24272 computations (19.8% saved)

prune375.0ms (5.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1213	3	1216
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	1215	7	1222

Error

Counts

1222 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.5b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	17.9b	(/.f64 x 2)
▶	0.3b	(/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x)))
✓	42.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	18.4b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
	61.0b	2

Compiler

Compiled 55 to 44 computations (20% saved)

localize31.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (+.f64 -1/8 (.f64 x 1/16)))
✓	0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))

Compiler

Compiled 40 to 30 computations (25% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
0.0ms	x	@	inf	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
0.0ms	x	@	inf	(.f64 x (+.f64 -1/8 (.f64 x 1/16)))
0.0ms	x	@	0	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
0.0ms	x	@	-inf	(.f64 x (+.f64 -1/8 (.f64 x 1/16)))

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`associate-*r/`
1188×	`associate-*l/`
1038×	`distribute-lft-in`
256×	`add-sqr-sqrt`
246×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	255	38
2	3370	38

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

Inputs
(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
(.f64 x (+.f64 -1/8 (.f64 x 1/16)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/8)) (+.f64 (*.f64 x (*.f64 x (*.f64 x 1/16))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (+.f64 1/2 (*.f64 x (*.f64 x 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1) (*.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -1/8) x) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x -1/8) x)) (*.f64 (*.f64 x (*.f64 x 1/16)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x 1/2) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (/.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (/.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))))))) (#(struct:change #<rule 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cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/8 (*.f64 x (*.f64 x 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/8 x (*.f64 x (*.f64 x 1/16)))))))

simplify150.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate-*r/`
1082×	`associate-/l/`
974×	`associate-/r/`
816×	`associate-/l*`
670×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	7858
1	1065	6922
2	4635	6714

Stop Event

1×	node limit

Counts

162 → 204

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x))
✓	0.2b	(/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

series2.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite150.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`associate-/r*`
776×	`distribute-rgt-in`
732×	`distribute-lft-in`
706×	`associate-/l*`
696×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	81
1	264	73
2	3485	57

Stop Event

1×	node limit

Counts

3 → 345

Calls

Call 1

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

Outputs

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

simplify189.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1162×	`associate-l`
872×	`associate-/l/`
842×	`associate-/r/`
764×	`*-commutative`
680×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	820	14037
1	2426	12915

Stop Event

1×	node limit

Counts

357 → 523

Calls

Call 1

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

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

eval371.0ms (5.4%)

Compiler: Compiled 16931 to 13425 computations (20.7% saved)

prune165.0ms (2.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	787	3	790
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	787	10	797

Error

Counts

797 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.5b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	17.9b	(/.f64 x 2)
▶	18.0b	(/.f64 1 (/.f64 2 x))
▶	18.5b	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
▶	17.7b	(/.f64 1 (.f64 (-.f64 (.f64 -1/2 x) 2) (/.f64 -1 x)))
✓	0.3b	(/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x)))
✓	42.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	18.4b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
	61.0b	2

Compiler

Compiled 87 to 71 computations (18.4% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (.f64 -1/2 x) 2) (/.f64 -1 x))
✓	0.1b	(/.f64 1 (.f64 (-.f64 (.f64 -1/2 x) 2) (/.f64 -1 x)))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite100.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`associate-/r*`
1064×	`*-commutative`
742×	`unswap-sqr`
638×	`swap-sqr`
574×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	262	40
2	3174	38

Stop Event

1×	node limit

Counts

2 → 213

Calls

Call 1

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

Outputs

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

simplify207.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1024×	`distribute-lft-neg-out`
682×	`associate-/r*`
642×	`*-commutative`
640×	`associate-r`
588×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	9493
1	1599	8209
2	6496	8203

Stop Event

1×	node limit

Counts

237 → 366

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))) 1)
(*.f64 1 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))
(*.f64 x (/.f64 -1 (fma.f64 -1/2 x -2)))
(*.f64 -1 (/.f64 x (fma.f64 -1/2 x -2)))
(*.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))) 1)
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))
(*.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2) (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))
(*.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (neg.f64 x))
(*.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (pow.f64 (/.f64 -1 x) -1))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1/2 x -2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2)) (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))
(*.f64 (/.f64 -1 (fma.f64 -1/2 x -2)) x)
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) -4)) (.f64 (fma.f64 -1/2 x 2) (neg.f64 x)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) -8)) (.f64 (neg.f64 x) (+.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) 4))))
(*.f64 (/.f64 x (fma.f64 -1/2 x -2)) -1)
(*.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 1 (fma.f64 -1/2 x -2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2) -1))
(.f64 (/.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) -4)) (fma.f64 -1/2 x 2))
(.f64 (/.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x 3) -1/8) -8)) (+.f64 (neg.f64 x) (+.f64 (.f64 (.f64 x x) 1/4) 4)))
(.f64 (/.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x 3) -1/8) -8)) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 (/.f64 -1 (fma.f64 -1/2 x -2)) 1) x)
(.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (sqrt.f64 (neg.f64 x))) 1) (sqrt.f64 (neg.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x))
(.f64 (/.f64 (/.f64 1 (.f64 (fma.f64 -1/2 x -2) (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2))) 1) (cbrt.f64 (neg.f64 x)))
(.f64 (/.f64 (/.f64 1 (.f64 (fma.f64 -1/2 x -2) (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2))) -1) (cbrt.f64 x))
(.f64 (/.f64 x (+.f64 (neg.f64 (.f64 (*.f64 x x) 1/4)) 4)) (fma.f64 -1/2 x 2))
(.f64 (/.f64 x (+.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/8)) 8)) (+.f64 (neg.f64 x) (+.f64 (.f64 (.f64 x x) 1/4) 4)))
(.f64 (/.f64 1 (.f64 (/.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/4) -4))) (fma.f64 -1/2 x 2))
(.f64 (/.f64 1 (.f64 (/.f64 -1 x) (+.f64 (.f64 (pow.f64 x 3) -1/8) -8))) (+.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) 4)))
(.f64 (/.f64 1 (+.f64 (neg.f64 (.f64 (.f64 x x) 1/4)) 4)) (.f64 x (fma.f64 -1/2 x 2)))
(.f64 (/.f64 1 (+.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/8)) 8)) (.f64 x (+.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) 4))))
(*.f64 (/.f64 1 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) (sqrt.f64 (neg.f64 (fma.f64 -1/2 x -2)))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (/.f64 -1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (neg.f64 x) (+.f64 (neg.f64 (.f64 (*.f64 x x) 1/4)) 4)) (neg.f64 (fma.f64 -1/2 x 2)))
(.f64 (/.f64 (neg.f64 x) (+.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/8)) 8)) (+.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) 4)) x))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2)) (cbrt.f64 (neg.f64 (fma.f64 -1/2 x -2)))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 -1 (fma.f64 -1/2 x -2)) -1) (neg.f64 x))
(*.f64 (/.f64 (/.f64 -1 (fma.f64 -1/2 x -2)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 -1 (fma.f64 -1/2 x -2)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))) (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))) (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) (sqrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))) (*.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) (sqrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 x -2))) (sqrt.f64 (neg.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 x -2))) (sqrt.f64 (neg.f64 x))))
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(/.f64 (/.f64 (/.f64 -1 x) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) -8))) (+.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) 4)))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 1) (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))) (cbrt.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) (sqrt.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))) (sqrt.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2) 1) (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2) (sqrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))) (sqrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))) (cbrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))))) (cbrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2) (cbrt.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))) (cbrt.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) -4) (neg.f64 x)) (fma.f64 -1/2 x 2))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) -8) (neg.f64 x)) (+.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) 4)))
(/.f64 (/.f64 (.f64 (/.f64 -1 x) (+.f64 (.f64 (*.f64 x x) 1/4) -4)) 1) (fma.f64 -1/2 x 2))
(/.f64 (/.f64 (.f64 (/.f64 -1 x) (+.f64 (.f64 (*.f64 x x) 1/4) -4)) (sqrt.f64 (fma.f64 -1/2 x 2))) (sqrt.f64 (fma.f64 -1/2 x 2)))
(/.f64 (/.f64 (.f64 (/.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/4) -4)) (.f64 (cbrt.f64 (fma.f64 -1/2 x 2)) (cbrt.f64 (fma.f64 -1/2 x 2)))) (cbrt.f64 (fma.f64 -1/2 x 2)))
(/.f64 (/.f64 (.f64 (/.f64 -1 x) (+.f64 (.f64 (pow.f64 x 3) -1/8) -8)) 1) (+.f64 (neg.f64 x) (+.f64 (.f64 (.f64 x x) 1/4) 4)))
(/.f64 (/.f64 (.f64 (/.f64 -1 x) (+.f64 (.f64 (pow.f64 x 3) -1/8) -8)) (sqrt.f64 (+.f64 (neg.f64 x) (+.f64 (.f64 (.f64 x x) 1/4) 4)))) (sqrt.f64 (+.f64 (neg.f64 x) (+.f64 (.f64 (.f64 x x) 1/4) 4))))
(/.f64 (/.f64 (.f64 (/.f64 -1 x) (+.f64 (.f64 (pow.f64 x 3) -1/8) -8)) (.f64 (cbrt.f64 (+.f64 (neg.f64 x) (+.f64 (.f64 (.f64 x x) 1/4) 4))) (cbrt.f64 (+.f64 (neg.f64 x) (+.f64 (.f64 (.f64 x x) 1/4) 4))))) (cbrt.f64 (+.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) 4))))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) 1/4)) 4) x) (fma.f64 -1/2 x 2))
(/.f64 (/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/8)) 8) x) (+.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) 4)))
(pow.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (fma.f64 -1/2 x -2) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 x -2) 3) (pow.f64 (/.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 (/.f64 32 x) x) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 (/.f64 32 x) x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (/.f64 32 x) x) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(-.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 (/.f64 32 x) x)) (/.f64 128 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 (/.f64 32 x) x) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 (/.f64 32 x) x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (/.f64 32 x) x) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(-.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 (/.f64 32 x) x)) (/.f64 128 (pow.f64 x 3)))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))) 1)
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 1 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 x (/.f64 -1 (fma.f64 -1/2 x -2)))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 -1 (/.f64 x (fma.f64 -1/2 x -2)))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2))) 1)
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) (sqrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) 2) (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (neg.f64 x))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (pow.f64 (/.f64 -1 x) -1))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1/2 x -2)))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2)) (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))))
(*.f64 (cbrt.f64 (/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))) 2))
(/.f64 (cbrt.f64 (/.f64 x (-.f64 2 (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))) 2))
(*.f64 (/.f64 -1 (fma.f64 -1/2 x -2)) x)
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) -4)) (.f64 (fma.f64 -1/2 x 2) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 x) (fma.f64 -1/2 x 2)) (fma.f64 (.f64 x x) 1/4 -4))
(.f64 (/.f64 (fma.f64 x -1/2 2) (fma.f64 (.f64 x x) -1/4 4)) x)
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) -8)) (.f64 (neg.f64 x) (+.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) 4))))
(/.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 -8) (+.f64 (neg.f64 x) (fma.f64 (*.f64 x x) 1/4 4))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/4) (-.f64 4 x)) (fma.f64 (pow.f64 x 3) 1/8 8)) x)
(*.f64 (/.f64 x (fma.f64 -1/2 x -2)) -1)
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 1 (fma.f64 -1/2 x -2)))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) -1))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) -1))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2) -1))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(.f64 (/.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) -4)) (fma.f64 -1/2 x 2))
(/.f64 (.f64 (neg.f64 x) (fma.f64 -1/2 x 2)) (fma.f64 (.f64 x x) 1/4 -4))
(.f64 (/.f64 (fma.f64 x -1/2 2) (fma.f64 (.f64 x x) -1/4 4)) x)
(.f64 (/.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x 3) -1/8) -8)) (+.f64 (neg.f64 x) (+.f64 (.f64 (.f64 x x) 1/4) 4)))
(/.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 -8) (+.f64 (neg.f64 x) (fma.f64 (*.f64 x x) 1/4 4))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/4) (-.f64 4 x)) (fma.f64 (pow.f64 x 3) 1/8 8)) x)
(.f64 (/.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x 3) -1/8) -8)) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 4 x)))
(/.f64 (neg.f64 x) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 -8) (+.f64 (neg.f64 x) (fma.f64 (*.f64 x x) 1/4 4))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/4) (-.f64 4 x)) (fma.f64 (pow.f64 x 3) 1/8 8)) x)
(*.f64 (/.f64 (/.f64 -1 (fma.f64 -1/2 x -2)) 1) x)
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (sqrt.f64 (neg.f64 x))) 1) (sqrt.f64 (neg.f64 x)))
(/.f64 x (neg.f64 (fma.f64 -1/2 x -2)))
(/.f64 (neg.f64 x) (fma.f64 x -1/2 -2))
(/.f64 x (-.f64 2 (*.f64 x -1/2)))
(.f64 (/.f64 (.f64 (/.f64 1 (fma.f64 -1/2 x -2)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x))
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(/.f64 (-.f64 2 (.f64 x -1/2)) (.f64 (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(neg.f64 (/.f64 (/.f64 (fma.f64 x -1/2 -2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (+.f64 (.f64 1/2 x) 2) (.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 2 (.f64 x -1/2)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 -1/2 x -2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) 1/4)) 4) x) (fma.f64 -1/2 x 2))
(.f64 (/.f64 1 (.f64 (neg.f64 x) (fma.f64 -1/2 x 2))) (fma.f64 (*.f64 x x) 1/4 -4))
(/.f64 (fma.f64 (.f64 x x) -1/4 4) (.f64 x (fma.f64 x -1/2 2)))
(/.f64 (/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/8)) 8) x) (+.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 x x) 1/4) 4)))
(.f64 (/.f64 1 (.f64 (neg.f64 x) (+.f64 (neg.f64 x) (fma.f64 (*.f64 x x) 1/4 4)))) (fma.f64 (pow.f64 x 3) -1/8 -8))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) (.f64 x (fma.f64 x (.f64 x 1/4) (-.f64 4 x))))
(pow.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)) 1)
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 2)
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))) 3)
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)) 3) 1/3)
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(neg.f64 (/.f64 (fma.f64 -1/2 x -2) x))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 x -1/2 -2) (neg.f64 x)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)))))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x)) 3))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 x -2) 3) (pow.f64 (/.f64 -1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 2 (*.f64 x -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 x -2) (neg.f64 x))))
(fma.f64 (*.f64 x -1/2) (/.f64 -1 x) (/.f64 2 x))
(/.f64 (fma.f64 x -1/2 -2) (neg.f64 x))

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
✓	0.1b	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))

Compiler

Compiled 48 to 39 computations (18.8% saved)

series1.0ms (0%)

Counts

2 → 18

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
0.0ms	x	@	inf	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
0.0ms	x	@	0	(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
0.0ms	x	@	-inf	(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))

rewrite105.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`associate-*l/`
1050×	`distribute-lft-in`
748×	`associate-/r*`
366×	`associate-/r/`
316×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	292	48
2	3710	48

Stop Event

1×	node limit

Counts

2 → 188

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))))))

simplify206.0ms (3%)

Algorithm

1×	egg-herbie

Rules

914×	`+-commutative`
872×	`associate-+r+`
790×	`associate-+l+`
692×	`associate-/l*`
692×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	13938
1	1489	12982
2	6726	12964

Stop Event

1×	node limit

Counts

206 → 332

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) 1/2)
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1/8 x)) (.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (neg.f64 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1/8 x)) (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1/8 x)) (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1/8 x)) (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (.f64 (.f64 x x) 1/64)) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x)))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (.f64 (.f64 x x) 1/64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 1)
(*.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2) (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))))
(*.f64 -1 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(*.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1)
(.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (-.f64 (.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))))
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(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x)))))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))))
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(pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(exp.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(fma.f64 1 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 1 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(fma.f64 x -1/8 (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(fma.f64 (sqrt.f64 (.f64 -1/8 x)) (sqrt.f64 (.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 -3/128 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (.f64 -3/128 (pow.f64 x 4)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x)))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 1536 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) (/.f64 -1536 (pow.f64 x 4)))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x)))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 1536 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) (/.f64 -1536 (pow.f64 x 4)))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (/.f64 (.f64 1 (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))) (-.f64 (.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) 0)) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (/.f64 (.f64 1 (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))) (-.f64 (.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) 0)) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (/.f64 (.f64 1 (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))) (-.f64 (.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) (/.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 -2 x) 0)) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1/8 x)) (.f64 (/.f64 1 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (neg.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 (-.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1/8 x)) (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 (-.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1/8 x)) (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(/.f64 (-.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 -1/8 x)) (.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(/.f64 (-.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (.f64 (.f64 x x) 1/64)) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x)))))
(/.f64 (fma.f64 (.f64 x x) 1/64 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(/.f64 (fma.f64 x (.f64 x 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x)))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (.f64 (.f64 x x) 1/64)))
(/.f64 (fma.f64 (.f64 x x) 1/64 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(/.f64 (fma.f64 x (.f64 x 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) 1)
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(*.f64 1 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 1)
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(*.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2) (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -2)))
(*.f64 -1 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(*.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1)
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (-.f64 (.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))))
(/.f64 (-.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (-.f64 (.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x)))))
(/.f64 (fma.f64 (.f64 x x) 1/64 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(/.f64 (fma.f64 x (.f64 x 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
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(-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1/64) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (.f64 -1/8 x)))) (-.f64 (sqrt.f64 (.f64 -1/8 x)) (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (.f64 (-.f64 (sqrt.f64 (.f64 x -1/8)) (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (*.f64 x -1/8)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (.f64 x -1/8))) (-.f64 (sqrt.f64 (*.f64 x -1/8)) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) 1) (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (.f64 x x) 1/64 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 x (.f64 x 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x)))))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (.f64 x x) 1/64 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 x (.f64 x 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x))))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (.f64 -1/8 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (.f64 x x) 1/64 (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 x (.f64 x 1/64) (.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))))))
(pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 1)
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2)
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 3)
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 3) 1/3)
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 2))
(fabs.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(log.f64 (exp.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) 3))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(exp.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 1))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 1 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 1 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 x -1/8 (+.f64 1/2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (sqrt.f64 (.f64 -1/8 x)) (sqrt.f64 (.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/64)) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/64))) (cbrt.f64 (*.f64 x -1/8)) (+.f64 1/2 (/.f64 2 x)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 2 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`add-sqr-sqrt`
1282×	`*-un-lft-identity`
1204×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	149	7
2	1724	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1388×	`associate-r`
1334×	`associate-/l*`
1294×	`associate-*r/`
1160×	`associate-l`
928×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	314
1	155	314
2	576	308
3	3759	308

Stop Event

1×	node limit

Counts

38 → 30

Calls

Call 1

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

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

eval448.0ms (6.5%)

Compiler: Compiled 18119 to 14036 computations (22.5% saved)

prune153.0ms (2.2%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	727	1	728
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	727	11	738

Error

Counts

738 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.5b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	17.9b	(/.f64 x 2)
✓	18.0b	(/.f64 1 (/.f64 2 x))
	35.8b	(/.f64 1 (-.f64 (+.f64 (.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (/.f64 2 x)))) (/.f64 4 (.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x)))))
✓	18.5b	(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
✓	17.7b	(/.f64 1 (.f64 (-.f64 (.f64 -1/2 x) 2) (/.f64 -1 x)))
✓	0.3b	(/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x)))
✓	42.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	18.4b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
	61.0b	2

Compiler

Compiled 113 to 92 computations (18.6% saved)

regimes18.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
7.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 142 to 112 computations (21.1% saved)

regimes14.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.0b	2	`x`

Compiler

Compiled 85 to 67 computations (21.2% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	4.335060634841121e-7	0.0028973841547417583

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 181 to 146 computations (19.3% saved)

regimes24.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
(/.f64 1 (.f64 (-.f64 (.f64 -1/2 x) 2) (/.f64 -1 x)))
(/.f64 1 (+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x)))))
(/.f64 1 (-.f64 (+.f64 (.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (/.f64 2 x)))) (/.f64 4 (.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x)))))

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
17.5b	1	`x`

Compiler

Compiled 79 to 62 computations (21.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -43.1b remaining (-240.3%)

Threshold costs -43.1b (-240.3%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 x 2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
17.9b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
8×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	107
1	42	107

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7932099951695107/36893488147419103232) (.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7932099951695107/36893488147419103232) (.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2

Compiler

Compiled 45 to 35 computations (22.2% saved)

soundness295.0ms (4.3%)

Algorithm

3×	egg-herbie

Rules

942×	`associate-r`
856×	`*-commutative`
814×	`associate-+l+`
814×	`associate-+l+`
782×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	461	7516
1	1234	6766
2	5160	6716
0	102	1169
1	242	1079
2	842	1075
3	3789	865
0	461	7516
1	1234	6766
2	5160	6716

Stop Event

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

Compiler

Compiled 475 to 353 computations (25.7% saved)

end37.0ms (0.5%)

Compiler: Compiled 41 to 31 computations (24.4% saved)

Details

analyze3.0ms (0%)

sample896.0ms (12.9%)

preprocess4.0ms (0.1%)

simplify12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite85.0ms (1.2%)

simplify119.0ms (1.7%)

eval154.0ms (2.2%)

prune51.0ms (0.7%)

localize67.0ms (1%)

series2.0ms (0%)

rewrite119.0ms (1.7%)

simplify110.0ms (1.6%)

localize3.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite73.0ms (1.1%)

simplify58.0ms (0.8%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite65.0ms (0.9%)

simplify61.0ms (0.9%)

localize32.0ms (0.5%)

series12.0ms (0.2%)

rewrite190.0ms (2.7%)

simplify249.0ms (3.6%)

eval1.2s (17.5%)

prune375.0ms (5.4%)

localize31.0ms (0.4%)

series3.0ms (0%)

rewrite91.0ms (1.3%)

simplify150.0ms (2.2%)

localize19.0ms (0.3%)

series2.0ms (0%)

rewrite150.0ms (2.2%)

simplify189.0ms (2.7%)

eval371.0ms (5.4%)

prune165.0ms (2.4%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite100.0ms (1.4%)

simplify207.0ms (3%)

localize20.0ms (0.3%)

series1.0ms (0%)

rewrite105.0ms (1.5%)

simplify206.0ms (3%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite51.0ms (0.7%)

simplify45.0ms (0.7%)

eval448.0ms (6.5%)

prune153.0ms (2.2%)

regimes18.0ms (0.3%)

regimes14.0ms (0.2%)

bsearch14.0ms (0.2%)

regimes24.0ms (0.3%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness295.0ms (4.3%)

end37.0ms (0.5%)

Profiling