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
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.1s (39.5%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`fma-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify53.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`fma-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

13.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.0b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.0b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite108.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`add-sqr-sqrt`
1552×	`*-un-lft-identity`
1454×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1432×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	151	15
2	2029	15

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify79.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-+r+`
1334×	`associate-+l+`
1180×	`distribute-lft-in`
626×	`associate-+l-`
540×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1335
1	307	1171
2	1038	1019
3	4111	1019

Stop Event

1×	node limit

Counts

45 → 67

Calls

Call 1

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

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

eval17.0ms (0.6%)

Compiler: Compiled 800 to 549 computations (31.4% saved)

prune9.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Error

Counts

68 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.0b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	36.4b	(/.f64 1 x)
▶	20.0b	(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
	26.0b	x

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize15.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.5b	(/.f64 x (+.f64 (pow.f64 x 4) -1))
✓	17.2b	(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))

Compiler

Compiled 35 to 24 computations (31.4% saved)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
1.0ms	x	@	inf	(/.f64 x (+.f64 (pow.f64 x 4) -1))
1.0ms	x	@	-inf	(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
1.0ms	x	@	-inf	(/.f64 x (+.f64 (pow.f64 x 4) -1))
0.0ms	x	@	0	(/.f64 x (+.f64 (pow.f64 x 4) -1))

rewrite118.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`associate-*r/`
1084×	`*-commutative`
1036×	`associate-/r*`
1008×	`associate-*l/`
798×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	241	52
2	3075	52

Stop Event

1×	node limit

Counts

2 → 199

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 8))) (/.f64 1 (+.f64 (pow.f64 x 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 12)) x)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (fma.f64 x x -1)) (neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (+.f64 (pow.f64 x 4) -1) (.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (.f64 x x) 3)) (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))))))

Outputs

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

simplify115.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-/l*`
718×	`associate-/l/`
634×	`associate-l`
622×	`associate-r`
596×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	550	10951
1	1504	8675
2	7973	8675

Stop Event

1×	node limit

Counts

223 → 317

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(*.f64 -1 x)
(+.f64 (.f64 -1 (pow.f64 x 5)) (.f64 -1 x))
(+.f64 (.f64 -1 (pow.f64 x 9)) (+.f64 (.f64 -1 (pow.f64 x 5)) (*.f64 -1 x)))
(+.f64 (.f64 -1 (pow.f64 x 13)) (+.f64 (.f64 -1 (pow.f64 x 9)) (+.f64 (.f64 -1 (pow.f64 x 5)) (.f64 -1 x))))
(/.f64 1 (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11))))
(+.f64 (/.f64 1 (pow.f64 x 15)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11)))))
(/.f64 1 (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11))))
(+.f64 (/.f64 1 (pow.f64 x 15)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11)))))
(+.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) -1)) (/.f64 (neg.f64 x) (+.f64 (pow.f64 x 4) -1)))
(+.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x 4) -1)) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1)))) 1)
(/.f64 x (/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x 4) -1) (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) (-.f64 (.f64 x x) -1)))
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 (pow.f64 x 4) -1) x))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1)) 1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) -1) (*.f64 x (fma.f64 x x -1))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x -1)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 (pow.f64 x 4) -1) (*.f64 (fma.f64 x x -1) (sqrt.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x -1)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 (pow.f64 x 4) -1) (*.f64 (fma.f64 x x -1) (cbrt.f64 x))))
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) (cbrt.f64 (fma.f64 x x -1))))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))
(/.f64 (neg.f64 x) (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x -1)))
(/.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (/.f64 (+.f64 (pow.f64 x 4) -1) (sqrt.f64 (.f64 x (fma.f64 x x -1)))))
(/.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 x x -1))) (cbrt.f64 (.f64 x (fma.f64 x x -1)))) (/.f64 (+.f64 (pow.f64 x 4) -1) (cbrt.f64 (.f64 x (fma.f64 x x -1)))))
(/.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) (/.f64 (+.f64 (pow.f64 x 4) -1) (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (+.f64 (pow.f64 x 4) -1) (cbrt.f64 (fma.f64 x x -1))))
(/.f64 (/.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 4) -1)) (/.f64 1 x))
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)))
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 x 4) -1) (sqrt.f64 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (-.f64 1 (pow.f64 x 4)))
(/.f64 (/.f64 x (/.f64 1 (fma.f64 x x -1))) (+.f64 (pow.f64 x 4) -1))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 8))) (/.f64 1 (+.f64 (pow.f64 x 4) 1)))
(/.f64 (/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 12)) x)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1))))
(/.f64 (*.f64 -1 (fma.f64 x x -1)) (neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (+.f64 (pow.f64 x 4) -1) (.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 -1 (pow.f64 (.f64 x x) 3)) (.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (.f64 x x)))))
(/.f64 (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) x))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x -1))) (-.f64 1 (pow.f64 x 4)))
(/.f64 (+.f64 x 1) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) (-.f64 x 1)))
(/.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (+.f64 (pow.f64 x 4) -1)) (-.f64 (.f64 x x) -1))
(/.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (+.f64 -1 (pow.f64 (.f64 x x) 3))) (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (pow.f64 x 4) -1) (cbrt.f64 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 x 1)) (+.f64 (pow.f64 x 4) -1))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 x (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (.f64 1 (.f64 (fma.f64 x x -1) (neg.f64 x))) (-.f64 1 (pow.f64 x 4)))
(/.f64 (*.f64 1 (/.f64 x (/.f64 1 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 4) -1))
(/.f64 (.f64 1 (/.f64 (.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 1 (/.f64 (.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 1 (neg.f64 (.f64 x (fma.f64 x x -1)))) (-.f64 1 (pow.f64 x 4)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (*.f64 x (fma.f64 x x -1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (.f64 x (fma.f64 x x -1)) -1) (-.f64 1 (pow.f64 x 4)))
(/.f64 (.f64 (.f64 x (fma.f64 x x -1)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (.f64 x (fma.f64 x x -1)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (.f64 (fma.f64 x x -1) (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) 1) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)))
(/.f64 (.f64 (.f64 (fma.f64 x x -1) (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 x)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (.f64 (fma.f64 x x -1) (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (.f64 (.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)))
(/.f64 (.f64 (.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 2)) (cbrt.f64 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 (/.f64 x 1) (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (fma.f64 x x -1)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 8))) (+.f64 -1 (pow.f64 x 8))) (+.f64 (pow.f64 x 4) -1))
(/.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 8))) (-.f64 (pow.f64 x 12) -1)) (+.f64 (pow.f64 x 8) (+.f64 1 (*.f64 (pow.f64 x 4) -1))))
(/.f64 (.f64 (/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 12)) x)) (-.f64 (.f64 (pow.f64 x 8) (pow.f64 x 8)) (.f64 (-.f64 1 (.f64 (pow.f64 x 4) -1)) (-.f64 1 (.f64 (pow.f64 x 4) -1))))) (+.f64 (+.f64 -1 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 12)) x)) (+.f64 (pow.f64 (pow.f64 x 8) 3) (pow.f64 (-.f64 1 (.f64 (pow.f64 x 4) -1)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 x 8) (pow.f64 x 8)) (.f64 (-.f64 1 (.f64 (pow.f64 x 4) -1)) (-.f64 1 (.f64 (pow.f64 x 4) -1)))) (.f64 (pow.f64 x 8) (-.f64 1 (.f64 (pow.f64 x 4) -1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x x -1)) (/.f64 (+.f64 (pow.f64 x 4) -1) (cbrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 x x -1)) (neg.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 x (+.f64 (pow.f64 x 4) -1))) (-.f64 (.f64 x x) -1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (.f64 x x) 3)) (/.f64 x (+.f64 (pow.f64 x 4) -1))) (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) 1) (-.f64 1 (pow.f64 x 4)))
(/.f64 (*.f64 (/.f64 x (/.f64 1 (fma.f64 x x -1))) 1) (+.f64 (pow.f64 x 4) -1))
(/.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) 1) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (neg.f64 (.f64 x (fma.f64 x x -1))) 1) (-.f64 1 (pow.f64 x 4)))
(/.f64 (.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (sqrt.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 1 (.f64 (fma.f64 x x -1) (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (fma.f64 x x -1) (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 x)) (.f64 (fma.f64 x x -1) (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (*.f64 x (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (*.f64 x (/.f64 (fma.f64 x x -1) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))
(/.f64 (.f64 (.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) 1)) (+.f64 -1 (pow.f64 x 8)))
(/.f64 (.f64 (.f64 x (fma.f64 x x -1)) (-.f64 (+.f64 1 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1))) (+.f64 -1 (pow.f64 x 12)))
(/.f64 (/.f64 (fma.f64 x x -1) 1) (/.f64 (+.f64 (pow.f64 x 4) -1) x))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))
(/.f64 (/.f64 (fma.f64 x x -1) (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)))
(/.f64 (/.f64 (fma.f64 x x -1) (/.f64 1 (sqrt.f64 x))) (/.f64 (+.f64 (pow.f64 x 4) -1) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x x -1) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (+.f64 (pow.f64 x 4) -1) (cbrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x x -1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 x))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x x -1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x x -1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2) 1)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) x))
(/.f64 (/.f64 (fma.f64 x x -1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x x -1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 x)))
(/.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 1 (.f64 x x))) (-.f64 (*.f64 x x) 1))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) -1) (+.f64 (pow.f64 x 4) -1))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) 1) (-.f64 1 (pow.f64 x 4)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (/.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (/.f64 (/.f64 x (/.f64 1 (fma.f64 x x -1))) 1) (+.f64 (pow.f64 x 4) -1))
(/.f64 (/.f64 (/.f64 x (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))
(/.f64 (/.f64 (/.f64 x (/.f64 1 (fma.f64 x x -1))) (+.f64 1 (.f64 x x))) (-.f64 (.f64 x x) 1))
(/.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) 1) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))) (cbrt.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))) (cbrt.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 x x -1))) -1) (+.f64 (pow.f64 x 4) -1))
(/.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 x x -1))) 1) (-.f64 1 (pow.f64 x 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 x x -1))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 x x -1))) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (/.f64 (neg.f64 (.f64 x (fma.f64 x x -1))) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 x x -1))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(pow.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) 3) (pow.f64 (fma.f64 x x -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))))
(exp.f64 (log.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) 1)
(*.f64 x (/.f64 -1 (-.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) 1)
(*.f64 1 (/.f64 x (+.f64 (pow.f64 x 4) -1)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 4) -1)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 2) (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 (pow.f64 x 4) -1)))
(*.f64 (+.f64 (pow.f64 x 4) 1) (/.f64 x (+.f64 -1 (pow.f64 x 8))))
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 4))) x)
(.f64 (-.f64 (+.f64 1 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -1)) (/.f64 x (+.f64 -1 (pow.f64 x 12))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 (pow.f64 x 4) -1)))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 4) -1)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 (pow.f64 x 4) -1)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 (pow.f64 x 4) -1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (/.f64 x (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 x 1) (/.f64 -1 (-.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)))
(.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 8))) (.f64 x (+.f64 (pow.f64 x 4) 1)))
(.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 12))) (.f64 x (-.f64 (+.f64 1 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 8))) (+.f64 (pow.f64 x 4) 1))
(.f64 (/.f64 x (+.f64 -1 (pow.f64 x 12))) (-.f64 (+.f64 1 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -1)))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x 4) -1)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (pow.f64 x 4) -1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (pow.f64 x 4) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 -1 (-.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 x))
(*.f64 (/.f64 x (neg.f64 (+.f64 -1 (pow.f64 x 8)))) (neg.f64 (+.f64 (pow.f64 x 4) 1)))
(.f64 (/.f64 x (neg.f64 (+.f64 -1 (pow.f64 x 12)))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 8))) (-.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) -1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 -1 (pow.f64 x 8)))) (+.f64 (pow.f64 x 4) 1))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 -1 (pow.f64 x 12)))) (-.f64 (+.f64 1 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -1)))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 -1 (pow.f64 x 8)))) (neg.f64 (+.f64 (pow.f64 x 4) 1)))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 -1 (pow.f64 x 12)))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 1 (pow.f64 x 8))) (-.f64 -1 (pow.f64 x 4)))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 x 12)))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 x 8)))) (sqrt.f64 (+.f64 (pow.f64 x 4) 1)))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x 12)))) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -1))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x 8)))) (cbrt.f64 (+.f64 (pow.f64 x 4) 1)))
(pow.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) -1)
(neg.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(exp.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3)))
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
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(/.f64 x (+.f64 -1 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(/.f64 x (+.f64 -1 (pow.f64 x 4)))
(exp.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(/.f64 x (+.f64 -1 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(/.f64 x (+.f64 -1 (pow.f64 x 4)))

localize3.0ms (0.1%)

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

eval202.0ms (7.3%)

Compiler: Compiled 6719 to 4903 computations (27% saved)

prune50.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	316	1	317
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	317	4	321

Error

Counts

321 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.8b	(/.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 1 (.f64 x x))) (-.f64 (*.f64 x x) 1))
✓	13.0b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	36.4b	(/.f64 1 x)
	26.0b	x

Compiler

Compiled 33 to 20 computations (39.4% saved)

localize21.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x x -1))
✓	13.0b	(/.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 1 (.f64 x x))) (-.f64 (*.f64 x x) 1))
✓	17.2b	(/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 1 (.f64 x x)))

Compiler

Compiled 57 to 28 computations (50.9% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite102.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`distribute-rgt-in`
1010×	`distribute-lft-in`
598×	`distribute-lft-neg-in`
558×	`distribute-rgt-neg-in`
272×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	95
1	290	59
2	3947	59

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

Outputs

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

simplify103.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1180×	`associate-r`
1174×	`associate-l`
868×	`associate-/l*`
724×	`associate-*r/`
666×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	6576
1	1222	6104
2	7140	6104

Stop Event

1×	node limit

Counts

198 → 253

Calls

Call 1

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

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

eval105.0ms (3.8%)

Compiler: Compiled 5637 to 3521 computations (37.5% saved)

prune35.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	252	1	253
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	253	4	257

Error

Counts

257 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.8b	(/.f64 (/.f64 (neg.f64 (.f64 x (-.f64 1 (.f64 x x)))) (+.f64 1 (.f64 x x))) (-.f64 (.f64 x x) 1))
✓	13.0b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	36.4b	(/.f64 1 x)
	26.0b	x

Compiler

Compiled 35 to 21 computations (40% saved)

localize22.0ms (0.8%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(*.f64 x (-.f64 1 (*.f64 x x)))

✓

13.0b

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

✓

17.2b

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

Compiler

Compiled 70 to 33 computations (52.9% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite94.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`distribute-rgt-in`
1230×	`distribute-lft-in`
312×	`add-sqr-sqrt`
304×	`pow1`
304×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	115
1	302	89
2	4762	59

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

Inputs

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

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

(*.f64 x (-.f64 1 (*.f64 x x)))

Outputs

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-1 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (neg.f64 x) 1)) (*.f64 -1 (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (neg.f64 x) 1) 1) (*.f64 (*.f64 (neg.f64 x) 1) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (neg.f64 x) 1) 1) (*.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (neg.f64 x) 1) 1) (*.f64 (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (neg.f64 x) 1) (*.f64 x (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (neg.f64 x)) 1) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (neg.f64 x)) 1) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (neg.f64 x) 1) -1) (*.f64 (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) 1)) (*.f64 1 (*.f64 (neg.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (neg.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 1 (neg.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) (-.f64 1 (*.f64 x (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (neg.f64 x)) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) x) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2)) (*.f64 x (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 x (fma.f64 x x -1)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x -1))))))))

simplify122.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-r`
1164×	`associate-l`
1022×	`associate-/l*`
830×	`+-commutative`
604×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	557	8383
1	1618	7611
2	7911	7611

Stop Event

1×	node limit

Counts

267 → 338

Calls

Call 1

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

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

eval129.0ms (4.6%)

Compiler: Compiled 7818 to 4628 computations (40.8% saved)

prune49.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	338	0	338
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	338	4	342

Error

Counts

342 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.8b	(/.f64 (/.f64 (neg.f64 (.f64 x (-.f64 1 (.f64 x x)))) (+.f64 1 (.f64 x x))) (-.f64 (.f64 x x) 1))
✓	13.0b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	36.4b	(/.f64 1 x)
	26.0b	x

Compiler

Compiled 35 to 21 computations (40% saved)

regimes25.0ms (0.9%)

Counts

6 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 (/.f64 (neg.f64 (.f64 x (-.f64 1 (.f64 x x)))) (+.f64 1 (.f64 x x))) (-.f64 (.f64 x x) 1))
(/.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (+.f64 1 (.f64 x x))) (-.f64 (*.f64 x x) 1))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))

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

Calls

2 calls:

12.0ms	x
11.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 72 to 40 computations (44.4% saved)

bsearch3.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.0ms	27560.751049900653	15168837285747148.0
2.0ms	-3224373339670329000.0	-3.530584252782817

Results

3.0ms

32×

body

256

valid

Compiler

Compiled 40 to 28 computations (30% saved)

regimes9.0ms (0.3%)

Accuracy

Total -60.6b remaining (-6700.8%)

Threshold costs -60.6b (-6700.8%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch22.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.2314652839762633	12.02964411502196
12.0ms	-3.530584252782817	-7.920622979434993e-5

Results

20.0ms

240×

body

256

valid

Compiler

Compiled 132 to 98 computations (25.8% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`if-if-or-not`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	85
1	34	85

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -2000000000000000000) (/.f64 1 x) (if (<=.f64 x 50000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Outputs
(if (<=.f64 x -2000000000000000000) (/.f64 1 x) (if (<=.f64 x 50000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -2000000000000000000) (/.f64 1 x) (if (<=.f64 x 50000) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Compiler

Compiled 40 to 27 computations (32.5% saved)

soundness0.0ms (0%)

end36.0ms (1.3%)

Compiler: Compiled 38 to 25 computations (34.2% saved)

Details

analyze3.0ms (0.1%)

sample1.1s (39.5%)

preprocess4.0ms (0.2%)

simplify53.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite108.0ms (3.9%)

simplify79.0ms (2.8%)

eval17.0ms (0.6%)

prune9.0ms (0.3%)

localize15.0ms (0.5%)

series5.0ms (0.2%)

rewrite118.0ms (4.3%)

simplify115.0ms (4.2%)

localize3.0ms (0.1%)

eval202.0ms (7.3%)

prune50.0ms (1.8%)

localize21.0ms (0.7%)

series4.0ms (0.1%)

rewrite102.0ms (3.7%)

simplify103.0ms (3.7%)

eval105.0ms (3.8%)

prune35.0ms (1.3%)

localize22.0ms (0.8%)

series3.0ms (0.1%)

rewrite94.0ms (3.4%)

simplify122.0ms (4.4%)

eval129.0ms (4.6%)

prune49.0ms (1.8%)

regimes25.0ms (0.9%)

bsearch3.0ms (0.1%)

regimes9.0ms (0.3%)

bsearch22.0ms (0.8%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end36.0ms (1.3%)

Profiling