Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
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)

sample864.0ms (17.3%)

Results

850.0ms	8253×	body	256	valid
1.0ms	3×	body	2048	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess32.0ms (0.7%)

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)

simplify11.0ms (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

0.29%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.29%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize41.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.02%	(sqrt.f64 (+.f64 x 1))
✓	0.27%	(/.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	(sqrt.f64 (+.f64 x 1))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x 1))

rewrite108.0ms (2.2%)

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

simplify126.0ms (2.5%)

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)

eval193.0ms (3.9%)

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

prune70.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	294	6	300
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	294	7	301

Error

Counts

301 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.91%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶	35.26%	(/.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2)))
✓	0.29%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	34.86%	(/.f64 x 2)
▶	58.48%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
	2.39%	(*.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))))
▶	0.31%	(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)

Compiler

Compiled 145 to 115 computations (20.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
	0.02%	(sqrt.f64 (+.f64 x 1))
✓	0.12%	(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
✓	0.2%	(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)

Compiler

Compiled 35 to 28 computations (20% saved)

series3.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite110.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-*r/`
1026×	`associate-*l/`
1014×	`*-commutative`
724×	`associate-/r*`
486×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	237	67
2	3047	63

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 0 x)) -1) (.f64 (/.f64 (neg.f64 x) (-.f64 0 x)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 0 x)) (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (neg.f64 x) (-.f64 0 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 1) (.f64 (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 x)) (.f64 (/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change 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Outputs

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(+.f64 x 1)))))))))

simplify176.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1128×	`associate-/l*`
812×	`times-frac`
806×	`associate-+r+`
712×	`+-commutative`
560×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	9075
1	1639	8551
2	7425	8547

Stop Event

1×	node limit

Counts

231 → 351

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

localize4.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(/.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	@	inf	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
0.0ms	x	@	0	(/.f64 x (+.f64 (*.f64 1/2 x) 2))

rewrite63.0ms (1.3%)

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))))))))

simplify57.0ms (1.1%)

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 (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.02%	(sqrt.f64 (+.f64 x 1))
✓	6.5%	(+.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)

rewrite58.0ms (1.2%)

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)))))

simplify56.0ms (1.1%)

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)

localize41.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
✓	13.62%	(/.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2)))

Compiler

Compiled 45 to 35 computations (22.2% saved)

series1.0ms (0%)

Counts

2 → 18

Calls

6 calls:

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

rewrite136.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`associate-*r/`
1354×	`associate-*l/`
958×	`associate-/r*`
280×	`add-sqr-sqrt`
266×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	277	52
2	3676	52

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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(fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/2 2) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (fma.f64 x 1/2 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 x (*.f64 x -1/8))) (fma.f64 x 1/2 2))))))

simplify159.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1716×	`associate-*r/`
1210×	`associate-*l/`
616×	`associate-/r/`
594×	`associate-/l/`
540×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	338	6772
1	907	6422
2	3861	6422

Stop Event

1×	node limit

Counts

128 → 200

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)))))))
2
(+.f64 (*.f64 1/2 x) 2)
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))) 1)
(.f64 x (/.f64 1 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))))
(.f64 (/.f64 x (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 1)
(.f64 1 (/.f64 x (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))))
(.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)))) (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)))) 2) (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(.f64 (/.f64 1 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) x)
(.f64 (neg.f64 x) (/.f64 -1 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)))) (/.f64 x (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(.f64 (/.f64 x (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2)))
(.f64 (/.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (*.f64 x -1/8))))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) x) -1)
(neg.f64 (/.f64 x (-.f64 -2 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 1/2))) (-.f64 1 (+.f64 2 (.f64 x (*.f64 x -1/8)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) (-.f64 1 (.f64 x (.f64 x -1/8))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/8)))) (-.f64 1 (fma.f64 x 1/2 2)))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2))) (/.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (-.f64 (.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (fma.f64 x 1/2 -2)) (-.f64 (/.f64 4 (fma.f64 x 1/2 -2)) (.f64 x (.f64 x -1/8))))
(-.f64 (+.f64 (.f64 x (.f64 x -1/8)) (exp.f64 (log1p.f64 (fma.f64 x 1/2 2)))) 1)
(-.f64 (+.f64 (.f64 x (.f64 x -1/8)) (/.f64 (.f64 (.f64 x x) 1/4) (fma.f64 x 1/2 -2))) (/.f64 4 (fma.f64 x 1/2 -2)))
(-.f64 (+.f64 (fma.f64 x 1/2 2) (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/8))))) 1)
(-.f64 (+.f64 (+.f64 2 (.f64 x (.f64 x -1/8))) (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1)
(.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)) 1)
(.f64 1 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)))
(.f64 (sqrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(.f64 (cbrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (/.f64 1 (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (*.f64 x -1/8)))))))
(/.f64 1 (/.f64 1 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (-.f64 (.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (neg.f64 (-.f64 (.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (.f64 (pow.f64 x 4) 1/64)) (-.f64 (fma.f64 x 1/2 2) (.f64 x (*.f64 x -1/8))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))) 4) (-.f64 (fma.f64 -1/8 (.f64 x x) (*.f64 x 1/2)) 2))
(/.f64 (+.f64 8 (pow.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) 3)) (+.f64 (.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))) (-.f64 4 (.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) 2))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (*.f64 x -1/8))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) 1) (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2)))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)))) (neg.f64 (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (*.f64 x -1/8)))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (.f64 (pow.f64 x 4) 1/64))) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8))))
(/.f64 (.f64 1 (-.f64 (.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))) 4)) (-.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) 2))
(/.f64 (.f64 1 (+.f64 8 (pow.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) 3))) (+.f64 (.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))) (-.f64 4 (.f64 (fma.f64 -1/8 (.f64 x x) (*.f64 x 1/2)) 2))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)))) (sqrt.f64 (-.f64 (.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)))) (cbrt.f64 (-.f64 (.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) 1) (neg.f64 (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (*.f64 x -1/8)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (.f64 (pow.f64 x 4) 1/64)) 1) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8))))
(/.f64 (.f64 (-.f64 (.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))) 4) 1) (-.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) 2))
(/.f64 (.f64 (+.f64 8 (pow.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) 3)) 1) (+.f64 (.f64 (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)) (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))) (-.f64 4 (.f64 (fma.f64 -1/8 (.f64 x x) (*.f64 x 1/2)) 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (sqrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)))) (sqrt.f64 (-.f64 (.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (sqrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (-.f64 (.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 4) 1/64)) (.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (pow.f64 (fma.f64 x 1/2 2) 2))) (/.f64 1 (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2)))) (+.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (.f64 (pow.f64 x 4) 1/64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (pow.f64 (fma.f64 x 1/2 2) 2) 3)) (/.f64 1 (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2)))) (+.f64 (.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 4) 1/64)) (+.f64 (.f64 (pow.f64 (fma.f64 x 1/2 2) 2) (pow.f64 (fma.f64 x 1/2 2) 2)) (.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (.f64 (pow.f64 (.f64 x x) 3) -1/512)) (.f64 (pow.f64 (fma.f64 x 1/2 2) 3) (pow.f64 (fma.f64 x 1/2 2) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8))))))) (-.f64 (.f64 (pow.f64 (*.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) 3) (pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8))))))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (.f64 (pow.f64 (.f64 x x) 3) -1/512)) (-.f64 (.f64 (pow.f64 (fma.f64 x 1/2 2) 3) (pow.f64 (fma.f64 x 1/2 2) 3)) (.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) 1) (-.f64 (.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (sqrt.f64 (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2)))) (sqrt.f64 (-.f64 (.f64 x (*.f64 x -1/8)) (fma.f64 x 1/2 2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2))) (cbrt.f64 (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2))))) (cbrt.f64 (-.f64 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 2) 2)) (+.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (.f64 x (sqrt.f64 -1/8)))) (-.f64 (*.f64 x (sqrt.f64 -1/8)) (sqrt.f64 (fma.f64 x 1/2 2))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/512) (pow.f64 (fma.f64 x 1/2 2) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 x 1/2 2) (-.f64 (fma.f64 x 1/2 2) (.f64 x (*.f64 x -1/8)))))))
(pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 2))
(fma.f64 1 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2))
(fma.f64 1 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)) (.f64 x (.f64 x -1/8)))
(fma.f64 (.f64 x (sqrt.f64 -1/8)) (.f64 x (sqrt.f64 -1/8)) (fma.f64 x 1/2 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)) (.f64 x (.f64 x -1/8)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 x (*.f64 x -1/8))) (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 1/2 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 x (.f64 x -1/8) (fma.f64 1/2 x (.f64 1/16 (pow.f64 x 3))))
(fma.f64 x (.f64 x -1/8) (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 x (.f64 x -1/8) (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 (+.f64 (/.f64 -256 (pow.f64 x 3)) (/.f64 -32 (*.f64 x x))) (+.f64 (/.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)))
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2
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(fma.f64 1/2 x 2)
(*.f64 -1/8 (pow.f64 x 2))
(.f64 -1/8 (.f64 x x))
(.f64 x (.f64 x -1/8))
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(*.f64 -1/8 (pow.f64 x 2))
(.f64 -1/8 (.f64 x x))
(.f64 x (.f64 x -1/8))
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(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
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(/.f64 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)))
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(/.f64 x (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)))
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(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (.f64 (*.f64 x x) 1/8)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (+.f64 (fma.f64 1/2 x 2) (.f64 (.f64 x x) 1/8)) (*.f64 (pow.f64 x 4) 1/64)))
(pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 1)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 2)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))) 3)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3) 1/3)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) 2))
(fabs.f64 (fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2)))
(log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2)) 3))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/8 (.f64 x x) (fma.f64 x 1/2 2))) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(fma.f64 1 (.f64 x (.f64 x -1/8)) (fma.f64 x 1/2 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(fma.f64 1 (fma.f64 x 1/2 2) (.f64 x (.f64 x -1/8)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)) (.f64 x (.f64 x -1/8)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(fma.f64 (.f64 x (sqrt.f64 -1/8)) (.f64 x (sqrt.f64 -1/8)) (fma.f64 x 1/2 2))
(fma.f64 (.f64 x (sqrt.f64 -1/8)) (.f64 x (sqrt.f64 -1/8)) (fma.f64 1/2 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)) (.f64 x (.f64 x -1/8)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 x (*.f64 x -1/8))) (fma.f64 x 1/2 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 -1/8 (*.f64 x x))) (fma.f64 1/2 x 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 x (*.f64 x -1/8))) (fma.f64 1/2 x 2))

eval428.0ms (8.6%)

Compiler: Compiled 16027 to 12300 computations (23.3% saved)

prune142.0ms (2.9%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	799	5	804
Fresh	1	0	1
Picked	1	0	1
Done	0	5	5
Total	801	10	811

Error

Counts

811 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	71.28%	(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
▶	35.26%	(/.f64 (neg.f64 x) (-.f64 -2 (.f64 x (+.f64 1/2 (.f64 x -1/8)))))
✓	33.91%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.29%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	34.86%	(/.f64 x 2)
✓	58.48%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	33.91%	(.f64 (/.f64 -1 (-.f64 (.f64 -1/2 x) 2)) x)
✓	0.31%	(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
▶	35.25%	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
	94.87%	2

Compiler

Compiled 91 to 70 computations (23.1% saved)

localize18.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 x (+.f64 -1/8 (.f64 x 1/16)))
✓	0.09%	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))

Compiler

Compiled 40 to 30 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.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	@	0	(.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)))

rewrite86.0ms (1.7%)

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

simplify146.0ms (2.9%)

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

localize41.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 -1 (-.f64 (*.f64 -1/2 x) 2))
✓	0.05%	(.f64 (/.f64 -1 (-.f64 (.f64 -1/2 x) 2)) x)

Compiler

Compiled 29 to 23 computations (20.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`associate-*r/`
922×	`*-commutative`
668×	`associate-*l/`
604×	`unswap-sqr`
600×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	222	34
2	2678	34

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs

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

simplify96.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1538×	`associate-/r/`
1298×	`distribute-lft-in`
1246×	`distribute-rgt-in`
640×	`associate-/l*`
470×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	448	6000
1	1261	5404
2	4753	5404

Stop Event

1×	node limit

Counts

178 → 287

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

localize39.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
✓	13.62%	(/.f64 (neg.f64 x) (-.f64 -2 (.f64 x (+.f64 1/2 (.f64 x -1/8)))))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite112.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`associate-*l/`
1350×	`associate-/r*`
1068×	`associate-/l*`
310×	`add-sqr-sqrt`
292×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	301	42
2	4268	42

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

Outputs

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-1/512 (pow.f64 x 3))) x) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))))))

simplify124.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1734×	`associate-/r*`
1464×	`associate-/r/`
874×	`associate-+r+`
642×	`associate-+l+`
482×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	4895
1	946	4551
2	4165	4547

Stop Event

1×	node limit

Counts

143 → 211

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 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.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 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.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 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.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 1/2 x))
(+.f64 0 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) 1)
(+.f64 (-.f64 0 (/.f64 0 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2)))
(+.f64 (-.f64 (/.f64 0 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))) 0) (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2)))
(+.f64 (-.f64 (/.f64 0 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))) (exp.f64 (log1p.f64 (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2))))) 1)
(+.f64 (-.f64 (/.f64 0 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))) (/.f64 0 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))
(-.f64 0 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))) 1)
(-.f64 (/.f64 0 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))) (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2)))
(.f64 x (/.f64 1 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))))
(.f64 x (/.f64 1 (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2)))
(.f64 (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2)) 1)
(.f64 1 (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2)))
(.f64 (sqrt.f64 (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))
(.f64 -1 (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2)))
(.f64 (/.f64 1 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))) x)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))
(.f64 (/.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2) 4)) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))
(.f64 (/.f64 x (-.f64 -8 (pow.f64 (.f64 x (fma.f64 x -1/8 1/2)) 3))) (+.f64 4 (.f64 (.f64 x (fma.f64 x -1/8 1/2)) (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))
(.f64 (/.f64 -1 (sqrt.f64 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2))))) (/.f64 x (sqrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -2 (.f64 x (fma.f64 x -1/8 1/2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 -2 (*.f64 x (fma.f64 x -1/8 1/2))))))
(pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) x) -1)
(neg.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))
(exp.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 (.f64 x (fma.f64 x -1/8 1/2)) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))
(+.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8)))
(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
(+.f64 0 (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 x (*.f64 x -1/8)) 1))
(+.f64 (.f64 (.f64 x (.f64 x -1/8)) 1) (.f64 (*.f64 x 1/2) 1))
(+.f64 (neg.f64 (.f64 x 1/2)) (neg.f64 (.f64 x (*.f64 x -1/8))))
(+.f64 (neg.f64 (.f64 x (.f64 x -1/8))) (neg.f64 (*.f64 x 1/2)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))) 1)
(-.f64 0 (*.f64 x (fma.f64 x -1/8 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 1)
(-.f64 (-.f64 0 (.f64 x 1/2)) (.f64 x (*.f64 x -1/8)))
(-.f64 (-.f64 0 (.f64 x (.f64 x -1/8))) (*.f64 x 1/2))
(-.f64 (-.f64 0 (.f64 (.f64 x 1/2) 1)) (.f64 (.f64 x (*.f64 x -1/8)) 1))
(-.f64 (-.f64 0 (neg.f64 (.f64 x 1/2))) (neg.f64 (.f64 x (*.f64 x -1/8))))
(/.f64 x (/.f64 1 (fma.f64 x -1/8 1/2)))
(/.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x -1/8) 2)) (/.f64 (fma.f64 x -1/8 1/2) x))
(/.f64 (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x))) x))
(/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2))) (fma.f64 x -1/8 1/2))
(/.f64 (.f64 x (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3)))) (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x))))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2)) x) (fma.f64 x -1/8 1/2))
(/.f64 (.f64 (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3))) x) (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8)))) (-.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8))))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x (.f64 x -1/8)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8))) (.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8))))))
(/.f64 (.f64 (-.f64 0 (.f64 x x)) (fma.f64 x -1/8 1/2)) x)
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) (fma.f64 x -1/8 1/2)) (+.f64 0 (+.f64 (.f64 x x) (*.f64 0 x))))
(/.f64 (.f64 (-.f64 0 (.f64 x x)) (neg.f64 (fma.f64 x -1/8 1/2))) x)
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) (neg.f64 (fma.f64 x -1/8 1/2))) (+.f64 0 (+.f64 (.f64 x x) (*.f64 0 x))))
(/.f64 (.f64 (-.f64 1/8 (.f64 -1/512 (pow.f64 x 3))) x) (+.f64 1/4 (+.f64 (pow.f64 (.f64 x -1/8) 2) (.f64 -1/16 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x -1/8) 2) 1/4) x) (-.f64 (*.f64 x -1/8) 1/2))
(/.f64 (.f64 (neg.f64 (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2))) x) (neg.f64 (fma.f64 x -1/8 1/2)))
(/.f64 (.f64 (neg.f64 (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3)))) x) (neg.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x)))))
(/.f64 (.f64 (.f64 x (-.f64 1/4 (pow.f64 (*.f64 x -1/8) 2))) 1) (fma.f64 x -1/8 1/2))
(/.f64 (.f64 (.f64 x (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3)))) 1) (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x))))
(/.f64 (.f64 (.f64 (-.f64 1/4 (pow.f64 (*.f64 x -1/8) 2)) x) 1) (fma.f64 x -1/8 1/2))
(/.f64 (.f64 (.f64 (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3))) x) 1) (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8)))) 1) (-.f64 (.f64 x 1/2) (.f64 x (.f64 x -1/8))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x (.f64 x -1/8)) 3)) 1) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8))) (.f64 (.f64 x 1/2) (.f64 x (.f64 x -1/8))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2))) (*.f64 (sqrt.f64 (fma.f64 x -1/8 1/2)) x)) (sqrt.f64 (fma.f64 x -1/8 1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3)))) (.f64 (sqrt.f64 (fma.f64 x -1/8 1/2)) x)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x)))))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2))) 1) (fma.f64 x -1/8 1/2))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2))) (sqrt.f64 (fma.f64 x -1/8 1/2))) (sqrt.f64 (fma.f64 x -1/8 1/2)))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2))) (cbrt.f64 (fma.f64 x -1/8 1/2))) (pow.f64 (cbrt.f64 (fma.f64 x -1/8 1/2)) 2))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2))) (pow.f64 (cbrt.f64 (fma.f64 x -1/8 1/2)) 2)) (cbrt.f64 (fma.f64 x -1/8 1/2)))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2))) (-.f64 1/4 (pow.f64 (*.f64 x -1/8) 2))) (/.f64 1 (fma.f64 x -1/8 1/2)))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2))) (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x)))))
(/.f64 (/.f64 (.f64 x (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3)))) 1) (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x))))
(/.f64 (/.f64 (.f64 x (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x)))))
(/.f64 (/.f64 (.f64 x (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x)))))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2)) x) 1) (fma.f64 x -1/8 1/2))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2)) x) (sqrt.f64 (fma.f64 x -1/8 1/2))) (sqrt.f64 (fma.f64 x -1/8 1/2)))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2)) x) (cbrt.f64 (fma.f64 x -1/8 1/2))) (pow.f64 (cbrt.f64 (fma.f64 x -1/8 1/2)) 2))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2)) x) (pow.f64 (cbrt.f64 (fma.f64 x -1/8 1/2)) 2)) (cbrt.f64 (fma.f64 x -1/8 1/2)))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2)) x) (-.f64 1/4 (pow.f64 (*.f64 x -1/8) 2))) (/.f64 1 (fma.f64 x -1/8 1/2)))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x -1/8) 2)) x) (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x)))))
(/.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3))) x) 1) (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x))))
(/.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3))) x) (sqrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x)))))
(/.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 -1/512 (pow.f64 x 3))) x) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (.f64 -1/16 x)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x -1/8) 2) (-.f64 1/4 (*.f64 -1/16 x)))))
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)
(neg.f64 (*.f64 x (fma.f64 x -1/8 1/2)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/8 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(fma.f64 x 1/2 (.f64 x (.f64 x -1/8)))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
	0.02%	(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
	0.02%	(sqrt.f64 (+.f64 x 1))
✓	0.18%	(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))

Compiler

Compiled 43 to 22 computations (48.8% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite89.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`associate-/l*`
1430×	`associate-*l/`
1018×	`*-commutative`
650×	`associate-/r/`
434×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	261	18
2	3575	18

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

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

Outputs

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

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

simplify94.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

984×	`associate--r+`
980×	`associate-+l-`
782×	`associate-+r-`
716×	`associate-r`
570×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	4609
1	993	3725
2	5885	3721

Stop Event

1×	node limit

Counts

169 → 226

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/128 (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/32 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 4)) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 x 0)
(+.f64 -1 (+.f64 x 1))
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 -1 (+.f64 x 1)))
(+.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 1 (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))
(+.f64 1 (neg.f64 (+.f64 x 1)))
(+.f64 0 x)
(+.f64 (+.f64 x -1) 1)
(+.f64 (*.f64 -1 (+.f64 x 1)) 1)
(+.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)
(+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) 1)
(+.f64 (neg.f64 (+.f64 x 1)) 1)
(+.f64 (-.f64 1 (exp.f64 (log.f64 (+.f64 2 x)))) 1)
(+.f64 (-.f64 1 (/.f64 x (/.f64 (+.f64 x -1) x))) (/.f64 1 (+.f64 x -1)))
(-.f64 -1 (*.f64 -1 (+.f64 x 1)))
(-.f64 -1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(-.f64 -1 (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))
(-.f64 -1 (neg.f64 (+.f64 x 1)))
(-.f64 1 (+.f64 x 1))
(-.f64 (+.f64 x 1) 1)
(-.f64 0 x)
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) 2)
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (+.f64 (/.f64 1 (+.f64 x -1)) 1))
(/.f64 x -1)
(/.f64 x 1)
(/.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(/.f64 -1 (/.f64 1 x))
(/.f64 1 (/.f64 1 x))
(/.f64 (pow.f64 x 1/4) (/.f64 1 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4))))
(/.f64 (cbrt.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (/.f64 1 (pow.f64 x 1/4)))
(/.f64 (*.f64 (sqrt.f64 x) -1) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (-.f64 x (*.f64 x (+.f64 x 1))) (+.f64 2 x))
(/.f64 (-.f64 x (.f64 x (+.f64 x 1))) (.f64 1 (+.f64 2 x)))
(/.f64 (-.f64 0 (*.f64 x x)) x)
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (-.f64 0 (pow.f64 x 3)) (+.f64 0 (+.f64 (.f64 x x) (.f64 x 0))))
(/.f64 (-.f64 0 (pow.f64 x 3)) (.f64 1 (+.f64 0 (+.f64 (.f64 x x) (*.f64 x 0)))))
(/.f64 (.f64 (-.f64 x (.f64 x (+.f64 x 1))) -1) (+.f64 2 x))
(/.f64 (.f64 (-.f64 0 (.f64 x x)) -1) x)
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) -1) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) -1) (+.f64 0 (+.f64 (.f64 x x) (*.f64 x 0))))
(/.f64 (.f64 (-.f64 x (.f64 x (+.f64 x 1))) 1) (+.f64 2 x))
(/.f64 (.f64 (-.f64 0 (.f64 x x)) 1) x)
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) 1) (+.f64 0 (+.f64 (.f64 x x) (*.f64 x 0))))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 (-.f64 (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (exp.f64 (log.f64 (+.f64 0 (hypot.f64 1 (sqrt.f64 x)))))) 1)
(+.f64 (-.f64 (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 -1 (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (hypot.f64 1 (sqrt.f64 x))))) 1)
(-.f64 (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (+.f64 -1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1)
(-.f64 (-.f64 (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) -1) (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (-.f64 (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 x))) -1)
(*.f64 x (/.f64 -1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 -1 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 1 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) -1)
(*.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) 1)
(*.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x x))
(*.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 2))
(*.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 -1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) x)
(*.f64 (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x)))) (/.f64 x (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(.f64 (.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 -1 (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)))
(.f64 (/.f64 1 x) (.f64 x (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(.f64 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (.f64 x (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 x x) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x)))))
(.f64 (/.f64 -1 x) (.f64 x (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 x 1/4) (/.f64 (sqrt.f64 x) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))) (pow.f64 x 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x 1/4))) (pow.f64 x 1/4))
(.f64 (/.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(.f64 (/.f64 (sqrt.f64 x) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (.f64 (sqrt.f64 x) (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x))))))
(.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (.f64 x (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 x (neg.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 x (neg.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x))))))
(.f64 (/.f64 x (-.f64 1 (.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(.f64 (/.f64 x (+.f64 -1 (pow.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) 3))) (-.f64 (+.f64 1 (.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))) (*.f64 -1 (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 -1 (/.f64 (sqrt.f64 x) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 x))
(*.f64 (/.f64 -1 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x))))))
(pow.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (/.f64 -1 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) -1)
(neg.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3)))
(expm1.f64 (log.f64 (+.f64 0 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (log.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 -1 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 -1 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 -1 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 -1 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(.f64 (.f64 -1/2 (pow.f64 (sqrt.f64 -1) 2)) x)
(*.f64 x 1/2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))
(fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) (.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x x))))
(fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))))
(fma.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)) (fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) (.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)))))
(fma.f64 1/16 (pow.f64 x 3) (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2)))
(+.f64 (.f64 (+.f64 (.f64 1/128 (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/32 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 4)) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))))
(fma.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) 5/128) (pow.f64 x 4) (fma.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3)) (fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) (.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x x))))))
(fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 -1/8 (.f64 x x) (.f64 x 1/2))))
(+.f64 x 0)
x
(+.f64 -1 (+.f64 x 1))
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 -1 (+.f64 x 1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(+.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(+.f64 1 (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(+.f64 1 (neg.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(+.f64 0 x)
x
(+.f64 (+.f64 x -1) 1)
x
(+.f64 (*.f64 -1 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(+.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)
(-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) 1)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(+.f64 (neg.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(+.f64 (-.f64 1 (exp.f64 (log.f64 (+.f64 2 x)))) 1)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(+.f64 (-.f64 1 (/.f64 x (/.f64 (+.f64 x -1) x))) (/.f64 1 (+.f64 x -1)))
(+.f64 (-.f64 1 (*.f64 (/.f64 x (+.f64 -1 x)) x)) (/.f64 1 (+.f64 -1 x)))
(+.f64 (-.f64 1 (/.f64 (*.f64 x x) (+.f64 -1 x))) (/.f64 1 (+.f64 -1 x)))
(-.f64 -1 (*.f64 -1 (+.f64 x 1)))
x
(-.f64 -1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 -1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(-.f64 -1 (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))
x
(-.f64 -1 (neg.f64 (+.f64 x 1)))
x
(-.f64 1 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(-.f64 (+.f64 x 1) 1)
x
(-.f64 0 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) 2)
x
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (+.f64 (/.f64 1 (+.f64 x -1)) 1))
(-.f64 (*.f64 (/.f64 x (+.f64 -1 x)) x) (+.f64 1 (/.f64 1 (+.f64 -1 x))))
(+.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 -1 x)) (/.f64 1 (+.f64 -1 x))) -1)
(fma.f64 (/.f64 x (+.f64 -1 x)) x (-.f64 -1 (/.f64 1 (+.f64 -1 x))))
(/.f64 x -1)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 x 1)
x
(/.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x)))
x
(/.f64 (sqrt.f64 x) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 -1 (/.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 1 (/.f64 1 x))
x
(/.f64 (pow.f64 x 1/4) (/.f64 1 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4))))
x
(/.f64 (cbrt.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
x
(/.f64 (cbrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))))
(.f64 (/.f64 (cbrt.f64 x) 1) (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
x
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (neg.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (/.f64 1 (pow.f64 x 1/4)))
x
(/.f64 (*.f64 (sqrt.f64 x) -1) (/.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 (cbrt.f64 x) 1) (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 (-.f64 x (*.f64 x (+.f64 x 1))) (+.f64 2 x))
(/.f64 (-.f64 x (+.f64 (*.f64 x x) x)) (+.f64 2 x))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 2 x))
(/.f64 (-.f64 x (.f64 x (+.f64 x 1))) (.f64 1 (+.f64 2 x)))
(/.f64 (-.f64 x (+.f64 (*.f64 x x) x)) (+.f64 2 x))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 2 x))
(/.f64 (-.f64 0 (*.f64 x x)) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 1 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 2 x) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 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 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 2 x) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (-.f64 0 (pow.f64 x 3)) (+.f64 0 (+.f64 (.f64 x x) (.f64 x 0))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 (-.f64 0 (pow.f64 x 3)) (.f64 1 (+.f64 0 (+.f64 (.f64 x x) (*.f64 x 0)))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 (.f64 (-.f64 x (.f64 x (+.f64 x 1))) -1) (+.f64 2 x))
(/.f64 (-.f64 x (+.f64 (*.f64 x x) x)) (/.f64 (+.f64 2 x) -1))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (+.f64 2 x))
(/.f64 (.f64 (-.f64 0 (.f64 x x)) -1) x)
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 x -1))
(*.f64 -1 (neg.f64 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) -1) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 (+.f64 (+.f64 1 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (+.f64 (+.f64 2 x) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) -1) (+.f64 0 (+.f64 (.f64 x x) (*.f64 x 0))))
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 x -1))
(*.f64 -1 (neg.f64 x))
(/.f64 (.f64 (-.f64 x (.f64 x (+.f64 x 1))) 1) (+.f64 2 x))
(/.f64 (-.f64 x (+.f64 (*.f64 x x) x)) (+.f64 2 x))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 2 x))
(/.f64 (.f64 (-.f64 0 (.f64 x x)) 1) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) 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 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 2 x) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) 1) (+.f64 0 (+.f64 (.f64 x x) (*.f64 x 0))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(pow.f64 x 1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(neg.f64 x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (-.f64 (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (exp.f64 (log.f64 (+.f64 0 (hypot.f64 1 (sqrt.f64 x)))))) 1)
(-.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (-.f64 (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 -1 (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (hypot.f64 1 (sqrt.f64 x))))) 1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (/.f64 0 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 -1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
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(*.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 x (sqrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 (+.f64 2 x) (hypot.f64 1 (sqrt.f64 x)))))
(.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))) (sqrt.f64 (-.f64 (+.f64 2 x) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (/.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (+.f64 2 (-.f64 x (hypot.f64 1 (sqrt.f64 x))))))
(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2))) (cbrt.f64 (-.f64 (+.f64 2 x) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (-.f64 (+.f64 2 x) (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) 1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 2)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 3)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (/.f64 -1 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) -1)
(-.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(neg.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) 2))
(fabs.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (exp.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x))) 3))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3)))
(expm1.f64 (log.f64 (+.f64 0 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(exp.f64 (log.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))

eval458.0ms (9.2%)

Compiler: Compiled 23126 to 16497 computations (28.7% saved)

prune231.0ms (4.6%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1118	1	1119
Fresh	0	1	1
Picked	1	0	1
Done	0	8	8
Total	1119	10	1129

Error

Counts

1129 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	72.17%	(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) -2)
✓	35.26%	(/.f64 (neg.f64 x) (-.f64 -2 (.f64 x (+.f64 1/2 (.f64 x -1/8)))))
✓	33.91%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.29%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	34.86%	(/.f64 x 2)
✓	58.48%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	33.91%	(.f64 (/.f64 -1 (-.f64 (.f64 -1/2 x) 2)) x)
✓	0.31%	(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
✓	35.25%	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
	94.87%	2

Compiler

Compiled 86 to 66 computations (23.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) -2)
	0.18%	(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`add-sqr-sqrt`
1352×	`*-un-lft-identity`
1268×	`add-cube-cbrt`
1258×	`add-cbrt-cube`
1246×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	174	7
2	2132	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) -2)

Outputs

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

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-r`
1154×	`associate-*r/`
1134×	`associate-l`
926×	`associate-*l/`
700×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	818
1	145	424
2	601	286
3	3531	286

Stop Event

1×	node limit

Counts

40 → 32

Calls

Call 1

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

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

eval27.0ms (0.5%)

Compiler: Compiled 1245 to 925 computations (25.7% saved)

prune20.0ms (0.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	124	10	134

Error

Counts

134 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	72.17%	(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) -2)
✓	35.26%	(/.f64 (neg.f64 x) (-.f64 -2 (.f64 x (+.f64 1/2 (.f64 x -1/8)))))
✓	33.91%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.29%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	34.86%	(/.f64 x 2)
✓	58.48%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	33.91%	(.f64 (/.f64 -1 (-.f64 (.f64 -1/2 x) 2)) x)
✓	0.31%	(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
✓	35.25%	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
	94.87%	2

Compiler

Compiled 86 to 66 computations (23.3% saved)

regimes20.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.29%	1	`x`
0.29%	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 138 to 98 computations (29% saved)

regimes12.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.19%	2	`x`

Compiler

Compiled 52 to 39 computations (25% saved)

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.00012007976274428166	0.28530243803750976

Results

12.0ms

128×

body

256

valid

Compiler

Compiled 189 to 154 computations (18.5% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
33.91%	1	`x`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -38.4b remaining (-172.1%)

Threshold costs -38.4b (-172.1%)

Counts

2 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)

Outputs
(/.f64 x 2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
34.86%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
18×	`*-commutative`
10×	`neg-mul-1`
10×	`neg-sub0`
8×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	111
1	49	111
2	61	111
3	73	111
4	86	111
5	89	111
6	90	111

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 1936908127739503/9223372036854775808) (/.f64 (neg.f64 x) (-.f64 -2 (.f64 x (+.f64 1/2 (.f64 x -1/8))))) (+.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 1936908127739503/9223372036854775808) (/.f64 (neg.f64 x) (-.f64 -2 (.f64 x (+.f64 1/2 (.f64 x -1/8))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 1936908127739503/9223372036854775808) (/.f64 (neg.f64 x) (+.f64 -2 (.f64 x (+.f64 -1/2 (.f64 x 1/8))))) (+.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 46 to 36 computations (21.7% saved)

soundness158.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

1716×	`associate-*r/`
1210×	`associate-*l/`
814×	`associate-+l+`
782×	`associate-+r+`
640×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	338	6772
1	907	6422
2	3861	6422
0	461	7516
1	1234	6766
2	5160	6716

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 270 to 188 computations (30.4% saved)

end35.0ms (0.7%)

Compiler: Compiled 42 to 32 computations (23.8% saved)

Details

analyze3.0ms (0.1%)

sample864.0ms (17.3%)

preprocess32.0ms (0.7%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize41.0ms (0.8%)

series4.0ms (0.1%)

rewrite108.0ms (2.2%)

simplify126.0ms (2.5%)

eval193.0ms (3.9%)

prune70.0ms (1.4%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

rewrite110.0ms (2.2%)

simplify176.0ms (3.5%)

localize4.0ms (0.1%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite63.0ms (1.3%)

simplify57.0ms (1.1%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite58.0ms (1.2%)

simplify56.0ms (1.1%)

localize41.0ms (0.8%)

series1.0ms (0%)

rewrite136.0ms (2.7%)

simplify159.0ms (3.2%)

eval428.0ms (8.6%)

prune142.0ms (2.9%)

localize18.0ms (0.4%)

series2.0ms (0%)

rewrite86.0ms (1.7%)

simplify146.0ms (2.9%)

localize41.0ms (0.8%)

series1.0ms (0%)

rewrite96.0ms (1.9%)

simplify96.0ms (1.9%)

localize39.0ms (0.8%)

series2.0ms (0%)

rewrite112.0ms (2.3%)

simplify124.0ms (2.5%)

localize16.0ms (0.3%)

series5.0ms (0.1%)

rewrite89.0ms (1.8%)

simplify94.0ms (1.9%)

eval458.0ms (9.2%)

prune231.0ms (4.6%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite51.0ms (1%)

simplify43.0ms (0.9%)

eval27.0ms (0.5%)

prune20.0ms (0.4%)

regimes20.0ms (0.4%)

regimes12.0ms (0.2%)

bsearch14.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

simplify8.0ms (0.2%)

soundness158.0ms (3.2%)

end35.0ms (0.7%)

Profiling