Details

analyze4.0ms (0.2%)

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
25%	25%	75%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
81.3%	81.2%	18.7%	0%	0%	0%	0%	5
90.6%	90.6%	9.4%	0%	0%	0%	0%	6
95.3%	95.3%	4.7%	0%	0%	0%	0%	7
97.7%	97.6%	2.3%	0%	0%	0%	0%	8
98.8%	98.8%	1.2%	0%	0%	0%	0%	9
99.4%	99.4%	0.6%	0%	0%	0%	0%	10
99.7%	99.7%	0.3%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample649.0ms (35.2%)

Results

634.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

18×	`+-commutative`
14×	`sub-neg`
12×	`fma-def`
10×	`associate-+l-`
8×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	11	13
2	15	13
3	22	13
4	29	13
5	39	13
6	57	13
7	73	13
8	84	13
9	87	13
10	88	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify37.0ms (2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
14×	`sub-neg`
12×	`fma-def`
10×	`associate-+l-`
8×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	11	13
2	15	13
3	22	13
4	29	13
5	39	13
6	57	13
7	73	13
8	84	13
9	87	13
10	88	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`add-sqr-sqrt`
1412×	`*-un-lft-identity`
1322×	`add-cube-cbrt`
1308×	`add-cbrt-cube`
1300×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	128	13
2	1714	13

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify81.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

984×	`distribute-lft-in`
978×	`associate-+r+`
882×	`distribute-rgt-in`
860×	`associate-+l+`
722×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1227
1	301	1011
2	1139	837
3	4342	837

Stop Event

1×	node limit

Counts

45 → 70

Calls

Call 1

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

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

eval17.0ms (0.9%)

Compiler: Compiled 731 to 491 computations (32.8% saved)

prune9.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	5	71

Error

Counts

71 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.8b	(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	20.2b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
	37.5b	x
	25.6b	-1

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize12.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
✓	19.3b	(/.f64 x (-.f64 1 (*.f64 x x)))

Compiler

Compiled 32 to 16 computations (50% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`associate-/r*`
1124×	`associate-/l*`
1044×	`*-commutative`
608×	`distribute-lft-in`
586×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	50
1	207	32
2	3050	32

Stop Event

1×	node limit

Counts

2 → 228

Calls

Call 1

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

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

simplify99.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1126×	`associate-/l*`
802×	`associate-/l/`
726×	`associate-l`
692×	`associate-r`
654×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	621	11002
1	1830	8766

Stop Event

1×	node limit

Counts

252 → 351

Calls

Call 1

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

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

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	20.6b	(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 25 to 9 computations (64% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite68.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`associate-*r/`
844×	`*-commutative`
804×	`associate-/r*`
696×	`associate-*l/`
648×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	191	27
2	2529	27

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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

simplify70.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1098×	`associate-/l*`
1008×	`distribute-lft-in`
964×	`associate-*r/`
870×	`distribute-rgt-in`
650×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	211	3514
1	599	3402
2	2210	3402

Stop Event

1×	node limit

Counts

88 → 126

Calls

Call 1

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

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

eval161.0ms (8.7%)

Compiler: Compiled 9299 to 5477 computations (41.1% saved)

prune68.0ms (3.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	476	1	477
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	478	4	482

Error

Counts

482 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.8b	(/.f64 (+.f64 x (.f64 x x)) (-.f64 1 (.f64 x x)))
✓	0.0b	(/.f64 x (-.f64 1 x))
	37.5b	x
	25.6b	-1

Compiler

Compiled 22 to 13 computations (40.9% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
✓	20.6b	(/.f64 (+.f64 x (.f64 x x)) (-.f64 1 (.f64 x x)))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-*r/`
1224×	`associate-*l/`
1214×	`associate-/r*`
1022×	`associate-/l*`
906×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	183	36
2	2720	36

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

simplify100.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-+r+`
1082×	`associate-+l+`
752×	`+-commutative`
674×	`associate-/l*`
582×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	426	6622
1	1223	6404
2	6119	6404

Stop Event

1×	node limit

Counts

192 → 254

Calls

Call 1

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

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

eval80.0ms (4.3%)

Compiler: Compiled 5626 to 3007 computations (46.6% saved)

prune34.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	254	4	258

Error

Counts

258 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.8b	(/.f64 (+.f64 x (.f64 x x)) (-.f64 1 (.f64 x x)))
✓	0.0b	(/.f64 x (-.f64 1 x))
	37.5b	x
	25.6b	-1

Compiler

Compiled 22 to 13 computations (40.9% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.8b	(/.f64 (+.f64 x (.f64 x x)) (-.f64 1 (.f64 x x)))
✓	0.0b	(/.f64 x (-.f64 1 x))
	37.5b	x
	25.6b	-1

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes9.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 x (-.f64 1 x))

Results

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

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes9.0ms (0.5%)

Accuracy

Total -60.0b remaining (-3768.9%)

Threshold costs -60.0b (-3768.9%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
x

Outputs
-1
x
-1

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch25.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.093843448950487e-24	148.19828631583667
10.0ms	-4.321341928994012	-0.0243570348704573

Results

22.0ms

288×

body

256

valid

Compiler

Compiled 118 to 97 computations (17.8% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	24	35
2	27	35
3	29	35
4	30	35

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Compiler

Compiled 20 to 15 computations (25% saved)

soundness0.0ms (0%)

end20.0ms (1.1%)

Compiler: Compiled 18 to 13 computations (27.8% saved)

Details

analyze4.0ms (0.2%)

sample649.0ms (35.2%)

preprocess15.0ms (0.8%)

simplify37.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite73.0ms (4%)

simplify81.0ms (4.4%)

eval17.0ms (0.9%)

prune9.0ms (0.5%)

localize12.0ms (0.7%)

series1.0ms (0.1%)

rewrite91.0ms (4.9%)

simplify99.0ms (5.4%)

localize8.0ms (0.4%)

series1.0ms (0%)

rewrite68.0ms (3.7%)

simplify70.0ms (3.8%)

eval161.0ms (8.7%)

prune68.0ms (3.7%)

localize8.0ms (0.4%)

series1.0ms (0%)

rewrite84.0ms (4.5%)

simplify100.0ms (5.4%)

eval80.0ms (4.3%)

prune34.0ms (1.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes9.0ms (0.5%)

regimes9.0ms (0.5%)

bsearch25.0ms (1.4%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end20.0ms (1.1%)

Profiling