Details

analyze6.0ms (0.3%)

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)

sample608.0ms (31.5%)

Results

597.0ms

8256×

body

256

valid

Bogosity

preprocess16.0ms (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)

simplify15.0ms (0.8%)

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))

eval1.0ms (0.1%)

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)

localize5.0ms (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))

rewrite51.0ms (2.6%)

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))))))))

simplify54.0ms (2.8%)

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))

eval15.0ms (0.8%)

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
▶	34.1b	(fma.f64 x x x)
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	17.0b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
	33.5b	x
	29.9b	-1

Compiler

Compiled 27 to 17 computations (37% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
✓	16.4b	(/.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))

rewrite85.0ms (4.4%)

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)))))))

simplify92.0ms (4.8%)

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

localize3.0ms (0.1%)

Compiler: Compiled 6 to 2 computations (66.7% saved)

eval170.0ms (8.8%)

Compiler: Compiled 7005 to 4302 computations (38.6% saved)

prune67.0ms (3.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	351	5	356

Error

Counts

356 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.5b	(/.f64 (+.f64 x (.f64 x x)) (-.f64 1 (.f64 x x)))
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	34.1b	(*.f64 (+.f64 x 1) x)
	33.5b	x
	29.9b	-1

Compiler

Compiled 28 to 17 computations (39.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x 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 (+.f64 x 1) x)
0.0ms	x	@	0	(*.f64 (+.f64 x 1) x)
0.0ms	x	@	inf	(*.f64 (+.f64 x 1) x)

rewrite50.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`add-sqr-sqrt`
1202×	`*-un-lft-identity`
1122×	`add-cube-cbrt`
1108×	`add-cbrt-cube`
1098×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	123	13
2	1532	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify54.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1078×	`fma-def`
1052×	`distribute-lft-out`
970×	`associate-/l*`
960×	`*-commutative`
564×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	319
1	126	303
2	360	303
3	1930	303
4	4147	303

Stop Event

1×	node limit

Counts

29 → 26

Calls

Call 1

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

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

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
✓	17.4b	(/.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	@	0	(/.f64 (+.f64 x (.f64 x x)) (-.f64 1 (.f64 x x)))
0.0ms	x	@	inf	(+.f64 x (*.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))

rewrite77.0ms (4%)

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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((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 x x) 1)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)))) (neg.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) 1) (neg.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) 1) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((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 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#<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) 1) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(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 (5.2%)

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)))
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.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 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (/.f64 (cbrt.f64 (-.f64 x (.f64 x x))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 x 4)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (-.f64 x (.f64 x x)))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (-.f64 x 1))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 x (+.f64 x -1)) (fma.f64 x x -1))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (.f64 x x) (-.f64 1 x)))
(/.f64 x (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 (pow.f64 x 3) 1)))
(/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 (fma.f64 x x 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 1 (-.f64 x (.f64 x x))) (-.f64 (pow.f64 x 4) (pow.f64 x 8))) (fma.f64 x x (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 8)) (.f64 (fma.f64 x x (pow.f64 x 4)) (-.f64 x (.f64 x x))))
(/.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 (pow.f64 x 6) (pow.f64 (pow.f64 x 4) 3)) (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 6) (pow.f64 x 8))) (/.f64 1 (-.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 12)) (-.f64 x (*.f64 x x))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 6) (pow.f64 x 8))))
(/.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 (pow.f64 x 6) (pow.f64 x 12)) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 12)) (*.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 (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 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 x 3) 3)) 1) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 12) (pow.f64 (pow.f64 x 3) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 12) (pow.f64 (pow.f64 x 3) 3))) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) x) (-.f64 1 x))
(fma.f64 x x x)
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 x 4)) 1) (-.f64 x (.f64 x x)))
(fma.f64 x 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))))
(fma.f64 x 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))))
(fma.f64 x 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 x x) (pow.f64 x 4)) (.f64 (-.f64 (sqrt.f64 x) x) (+.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 x 4)) (.f64 (+.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 (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)) (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 (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)

eval88.0ms (4.6%)

Compiler: Compiled 5827 to 3104 computations (46.7% saved)

prune39.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	279	1	280
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	281	4	285

Error

Counts

285 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	34.1b	(+.f64 (*.f64 x x) x)
	33.5b	x
	29.9b	-1

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 3 computations (70% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`add-sqr-sqrt`
1214×	`*-un-lft-identity`
1142×	`add-cube-cbrt`
1134×	`add-cbrt-cube`
1128×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	113	9
2	1606	9

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify60.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1082×	`associate-r`
1070×	`associate-+r+`
944×	`associate-l`
822×	`associate-+l+`
546×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	930
1	220	880
2	766	880
3	4154	856

Stop Event

1×	node limit

Counts

50 → 48

Calls

Call 1

Inputs
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 (+.f64 1 (fma.f64 x x x)) 1)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 x x) x)))
(*.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 (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 (+.f64 x 1) x)
(.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 x x) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x x) (pow.f64 x 3)))))
(.f64 (.f64 (+.f64 x 1) 1) x)
(.f64 (.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (+.f64 x 1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 1 (/.f64 (-.f64 (.f64 x x) x) (-.f64 (pow.f64 x 4) (.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (+.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 x x) (pow.f64 x 4)) (-.f64 x (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 x x))) (neg.f64 (-.f64 (.f64 x x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (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)))
(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 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) x)

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

eval9.0ms (0.5%)

Compiler: Compiled 484 to 221 computations (54.3% saved)

prune7.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	48	4	52

Error

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	34.1b	(+.f64 (*.f64 x x) x)
	33.5b	x
	29.9b	-1

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
3.0ms	(/.f64 x (-.f64 1 x))

Results

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

Compiler

Compiled 52 to 26 computations (50% saved)

regimes12.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 15 to 8 computations (46.7% saved)

bsearch26.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	3.9599082494307815e-9	1.9532933423551844
12.0ms	-7.372504089370599	-0.0017871805017175744

Results

21.0ms

272×

body

256

valid

Compiler

Compiled 180 to 126 computations (30% saved)

regimes13.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch27.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3.9599082494307815e-9	1.9532933423551844
13.0ms	-7.372504089370599	-0.0017871805017175744

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 180 to 143 computations (20.6% saved)

regimes10.0ms (0.5%)

Accuracy

Total -59.8b remaining (-3270.8%)

Threshold costs -59.8b (-3270.8%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
x

Outputs
-1
x
-1

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.8b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch25.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	3.9599082494307815e-9	1.9532933423551844
11.0ms	-7.372504089370599	-0.0017871805017175744

Results

22.0ms

272×

body

256

valid

Compiler

Compiled 112 to 92 computations (17.9% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`if-if-or-not`
4×	`sub-neg`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	101
1	40	101
2	43	101
3	45	101
4	46	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (+.f64 (*.f64 x x) x) -1))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (*.f64 (+.f64 x 1) x) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (+.f64 (*.f64 x x) x) -1))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (+.f64 x (*.f64 x x)) -1))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (*.f64 (+.f64 x 1) x) -1))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (*.f64 x (+.f64 x 1)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Compiler

Compiled 52 to 38 computations (26.9% saved)

soundness0.0ms (0%)

end36.0ms (1.9%)

Compiler: Compiled 48 to 34 computations (29.2% saved)

Details

analyze6.0ms (0.3%)

sample608.0ms (31.5%)

preprocess16.0ms (0.8%)

simplify15.0ms (0.8%)

eval1.0ms (0.1%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite51.0ms (2.6%)

simplify54.0ms (2.8%)

eval15.0ms (0.8%)

prune9.0ms (0.5%)

localize11.0ms (0.6%)

series1.0ms (0.1%)

rewrite85.0ms (4.4%)

simplify92.0ms (4.8%)

localize3.0ms (0.1%)

eval170.0ms (8.8%)

prune67.0ms (3.5%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite50.0ms (2.6%)

simplify54.0ms (2.8%)

localize9.0ms (0.5%)

series1.0ms (0%)

rewrite77.0ms (4%)

simplify100.0ms (5.2%)

eval88.0ms (4.6%)

prune39.0ms (2%)

localize4.0ms (0.2%)

series0.0ms (0%)

rewrite53.0ms (2.7%)

simplify60.0ms (3.1%)

eval9.0ms (0.5%)

prune7.0ms (0.4%)

regimes11.0ms (0.6%)

regimes12.0ms (0.6%)

bsearch26.0ms (1.3%)

regimes13.0ms (0.7%)

bsearch27.0ms (1.4%)

regimes10.0ms (0.5%)

bsearch25.0ms (1.3%)

simplify6.0ms (0.3%)

soundness0.0ms (0%)

end36.0ms (1.9%)

Profiling