Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample860.0ms (10.9%)

Results

675.0ms	7584×	body	256	valid
119.0ms	448×	body	1024	valid
29.0ms	224×	body	512	valid
1.0ms	12×	body	256	infinite

Bogosity

preprocess58.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

746×	`fma-def`
476×	`associate-r`
306×	`associate-+l+`
234×	`associate-+l-`
228×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	20	25
2	48	19
3	103	15
4	201	15
5	323	15
6	489	15
7	716	15
8	1316	15
9	1431	15
10	1734	15
11	2242	15
12	2349	15
13	2353	15
14	2353	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Outputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 x (+.f64 6 (.f64 (*.f64 x -3) 3)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def`
476×	`associate-r`
306×	`associate-+l+`
234×	`associate-+l-`
228×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	20	25
2	48	19
3	103	15
4	201	15
5	323	15
6	489	15
7	716	15
8	1316	15
9	1431	15
10	1734	15
11	2242	15
12	2349	15
13	2353	15
14	2353	15

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Outputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 x (+.f64 6 (.f64 (*.f64 x -3) 3)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

0.1b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
▶	0.2b	(*.f64 x (fma.f64 x -9 6))
▶	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
▶	0.2b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))

Compiler

Compiled 35 to 27 computations (22.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2 (*.f64 3 x))
✓	0.1b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
✓	0.1b	(.f64 (-.f64 2 (.f64 3 x)) x)

Compiler

Compiled 28 to 21 computations (25% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (-.f64 2 (.f64 3 x)) x)
0.0ms	x	@	0	(.f64 (-.f64 2 (.f64 3 x)) x)
0.0ms	x	@	-inf	(.f64 (-.f64 2 (.f64 3 x)) x)
0.0ms	x	@	0	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
0.0ms	x	@	inf	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1992×	`add-sqr-sqrt`
1964×	`*-un-lft-identity`
1842×	`add-cube-cbrt`
1824×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	198	57
2	2468	57

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs
(.f64 (-.f64 2 (.f64 3 x)) x)
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(-.f64 2 (*.f64 3 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 x) (.f64 (.f64 x -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 2) (.f64 x (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 2 (.f64 x -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 4 (.f64 (.f64 x x) 9))) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 (.f64 x x) 9)) x) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) x) (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 2 (.f64 x -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 2 (.f64 x -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 2 (.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 2 (.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 2 (.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 2 (.f64 x -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 2 (.f64 x -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 2 (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (.f64 x -3))) (sqrt.f64 (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2) (cbrt.f64 (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (.f64 (.f64 x x) 9)) (/.f64 1 (+.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 (.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x))) (-.f64 8 (.f64 (pow.f64 x 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 (.f64 x -3) (.f64 x -3))) (-.f64 2 (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (.f64 x -3) 3)) (+.f64 4 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 2 (.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (.f64 (.f64 x x) 9))) (neg.f64 (+.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (.f64 x -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (.f64 x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 2 (.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (.f64 x -3))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 x) (*.f64 (*.f64 x -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 x -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 (*.f64 x x) 9))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 8 (*.f64 (pow.f64 x 3) 27))) (+.f64 4 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 (*.f64 x x) 9)) x) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 x 3) 27)) x) (+.f64 4 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 2 (*.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 2 (*.f64 x -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 (*.f64 x -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 2 (*.f64 x -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 (*.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 2 (*.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 (*.f64 x -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 2 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 2 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 2 (*.f64 x -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 2 (*.f64 x -3)))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))) (sqrt.f64 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 2) (cbrt.f64 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (*.f64 (*.f64 x x) 9)) (/.f64 1 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 3 x)) (-.f64 4 (*.f64 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (*.f64 x x) 9)) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (*.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (*.f64 x -3) (*.f64 x -3))) (-.f64 2 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 x -3) 3)) (+.f64 4 (-.f64 (*.f64 (*.f64 x -3) (*.f64 x -3)) (*.f64 2 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (*.f64 (*.f64 x x) 9))) (neg.f64 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (*.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 4 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (*.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (*.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (*.f64 x -3))))))))

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-/r*`
1030×	`unswap-sqr`
708×	`distribute-lft-in`
668×	`distribute-rgt-in`
596×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1864
1	391	1676
2	1595	1518
3	6377	1518

Stop Event

1×	node limit

Counts

98 → 95

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 -3 (pow.f64 x 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 -3 (pow.f64 x 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
2
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 (.f64 2 x) (.f64 (*.f64 x -3) x))
(+.f64 (.f64 x 2) (.f64 x (*.f64 x -3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 2 (.f64 x -3))))) 1)
(/.f64 (.f64 x (-.f64 4 (.f64 (.f64 x x) 9))) (+.f64 2 (.f64 3 x)))
(/.f64 (.f64 x (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (*.f64 6 x))))
(/.f64 (.f64 (-.f64 4 (.f64 (.f64 x x) 9)) x) (+.f64 2 (.f64 3 x)))
(/.f64 (.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) x) (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (*.f64 6 x))))
(pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 1)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 2 (.f64 x -3)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 2 (.f64 x -3)))) 3)
(pow.f64 (pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 (*.f64 x -3))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 2 (.f64 x -3))))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 3))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 2 (.f64 x -3)))))
(exp.f64 (log.f64 (.f64 x (+.f64 2 (.f64 x -3)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 2 (*.f64 x -3)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 2 (.f64 x -3)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))))) 1)
(pow.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))) 1)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))) 2)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))) 3)
(pow.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))) 2))
(log.f64 (exp.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))) 3))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))))
(exp.f64 (log.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3))))) 1))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))))
(+.f64 2 (*.f64 x -3))
(+.f64 2 (.f64 (.f64 x -3) 1))
(+.f64 (*.f64 x -3) 2)
(.f64 (+.f64 2 (.f64 x -3)) 1)
(.f64 1 (+.f64 2 (.f64 x -3)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 x -3))) (sqrt.f64 (+.f64 2 (*.f64 x -3))))
(.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2) (cbrt.f64 (+.f64 2 (*.f64 x -3))))
(.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (/.f64 1 (+.f64 2 (.f64 3 x))))
(.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (*.f64 6 x)))))
(/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 (*.f64 x x) 9))))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x))) (-.f64 8 (.f64 (pow.f64 x 3) 27))))
(/.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (+.f64 2 (*.f64 3 x)))
(/.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x))))
(/.f64 (-.f64 4 (.f64 (.f64 x -3) (.f64 x -3))) (-.f64 2 (.f64 x -3)))
(/.f64 (+.f64 8 (pow.f64 (.f64 x -3) 3)) (+.f64 4 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 2 (.f64 x -3)))))
(/.f64 (neg.f64 (-.f64 4 (.f64 (.f64 x x) 9))) (neg.f64 (+.f64 2 (*.f64 3 x))))
(/.f64 (neg.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x)))))
(pow.f64 (+.f64 2 (*.f64 x -3)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 3)
(pow.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 2))
(log.f64 (exp.f64 (+.f64 2 (*.f64 x -3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 x -3)))))
(cbrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (*.f64 x -3))))
(exp.f64 (log.f64 (+.f64 2 (*.f64 x -3))))
(exp.f64 (.f64 (log.f64 (+.f64 2 (.f64 x -3))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (*.f64 x -3))))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(*.f64 -3 (pow.f64 x 2))
(.f64 -3 (.f64 x x))
(.f64 x (.f64 x -3))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(*.f64 -3 (pow.f64 x 2))
(.f64 -3 (.f64 x x))
(.f64 x (.f64 x -3))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
2
(+.f64 (*.f64 -3 x) 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 x -3 2)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 (.f64 2 x) (.f64 (*.f64 x -3) x))
(*.f64 x (fma.f64 x -3 2))
(+.f64 (.f64 x 2) (.f64 x (*.f64 x -3)))
(*.f64 x (fma.f64 x -3 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 2 (.f64 x -3))))) 1)
(*.f64 x (fma.f64 x -3 2))
(/.f64 (.f64 x (-.f64 4 (.f64 (.f64 x x) 9))) (+.f64 2 (.f64 3 x)))
(/.f64 x (/.f64 (+.f64 2 (.f64 x 3)) (-.f64 4 (.f64 (*.f64 x x) 9))))
(.f64 (/.f64 x (fma.f64 x 3 2)) (+.f64 4 (.f64 x (*.f64 x -9))))
(.f64 x (/.f64 (fma.f64 x (.f64 x -9) 4) (fma.f64 x 3 2)))
(/.f64 (.f64 x (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (*.f64 6 x))))
(/.f64 x (/.f64 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 x 6))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.f64 x (/.f64 (fma.f64 (*.f64 x -3) (fma.f64 x -3 -2) 4) (fma.f64 (pow.f64 x 3) -27 8)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)))
(/.f64 (.f64 (-.f64 4 (.f64 (.f64 x x) 9)) x) (+.f64 2 (.f64 3 x)))
(/.f64 x (/.f64 (+.f64 2 (.f64 x 3)) (-.f64 4 (.f64 (*.f64 x x) 9))))
(.f64 (/.f64 x (fma.f64 x 3 2)) (+.f64 4 (.f64 x (*.f64 x -9))))
(.f64 x (/.f64 (fma.f64 x (.f64 x -9) 4) (fma.f64 x 3 2)))
(/.f64 (.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) x) (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (*.f64 6 x))))
(/.f64 x (/.f64 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 x 6))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.f64 x (/.f64 (fma.f64 (*.f64 x -3) (fma.f64 x -3 -2) 4) (fma.f64 (pow.f64 x 3) -27 8)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4)))
(pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 1)
(*.f64 x (fma.f64 x -3 2))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 2 (.f64 x -3)))) 2)
(*.f64 x (fma.f64 x -3 2))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 2 (.f64 x -3)))) 3)
(*.f64 x (fma.f64 x -3 2))
(pow.f64 (pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 3) 1/3)
(*.f64 x (fma.f64 x -3 2))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 2))
(*.f64 x (fma.f64 x -3 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 (*.f64 x -3))))
(*.f64 x (fma.f64 x -3 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 2 (.f64 x -3))))))
(*.f64 x (fma.f64 x -3 2))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 2 (.f64 x -3))) 3))
(*.f64 x (fma.f64 x -3 2))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 2 (.f64 x -3)))))
(*.f64 x (fma.f64 x -3 2))
(exp.f64 (log.f64 (.f64 x (+.f64 2 (.f64 x -3)))))
(*.f64 x (fma.f64 x -3 2))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 2 (*.f64 x -3)))) 1))
(*.f64 x (fma.f64 x -3 2))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 2 (.f64 x -3)))))
(*.f64 x (fma.f64 x -3 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))))) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))) 2)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))) 3)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))) 3) 1/3)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))) 2))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(log.f64 (exp.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3)))) 3))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (log.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 6 (.f64 3 (.f64 x -3))))) 1))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 6 (.f64 3 (*.f64 x -3))))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 2 (*.f64 x -3))
(fma.f64 x -3 2)
(+.f64 2 (.f64 (.f64 x -3) 1))
(fma.f64 x -3 2)
(+.f64 (*.f64 x -3) 2)
(fma.f64 x -3 2)
(.f64 (+.f64 2 (.f64 x -3)) 1)
(fma.f64 x -3 2)
(.f64 1 (+.f64 2 (.f64 x -3)))
(fma.f64 x -3 2)
(.f64 (sqrt.f64 (+.f64 2 (.f64 x -3))) (sqrt.f64 (+.f64 2 (*.f64 x -3))))
(fma.f64 x -3 2)
(.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 2))
(fma.f64 x -3 2)
(.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2) (cbrt.f64 (+.f64 2 (*.f64 x -3))))
(fma.f64 x -3 2)
(.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (/.f64 1 (+.f64 2 (.f64 3 x))))
(.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (/.f64 1 (+.f64 2 (.f64 x 3))))
(/.f64 (+.f64 4 (.f64 x (.f64 x -9))) (fma.f64 x 3 2))
(/.f64 (fma.f64 x (*.f64 x -9) 4) (fma.f64 x 3 2))
(.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (*.f64 6 x)))))
(.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 (*.f64 x -3) (fma.f64 x -3 -2) 4))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))
(/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 (*.f64 x x) 9))))
(.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (/.f64 1 (+.f64 2 (.f64 x 3))))
(/.f64 (+.f64 4 (.f64 x (.f64 x -9))) (fma.f64 x 3 2))
(/.f64 (fma.f64 x (*.f64 x -9) 4) (fma.f64 x 3 2))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x))) (-.f64 8 (.f64 (pow.f64 x 3) 27))))
(.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 (*.f64 x -3) (fma.f64 x -3 -2) 4))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))
(/.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (+.f64 2 (*.f64 3 x)))
(.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (/.f64 1 (+.f64 2 (.f64 x 3))))
(/.f64 (+.f64 4 (.f64 x (.f64 x -9))) (fma.f64 x 3 2))
(/.f64 (fma.f64 x (*.f64 x -9) 4) (fma.f64 x 3 2))
(/.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x))))
(.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 (*.f64 x -3) (fma.f64 x -3 -2) 4))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))
(/.f64 (-.f64 4 (.f64 (.f64 x -3) (.f64 x -3))) (-.f64 2 (.f64 x -3)))
(.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (/.f64 1 (+.f64 2 (.f64 x 3))))
(/.f64 (+.f64 4 (.f64 x (.f64 x -9))) (fma.f64 x 3 2))
(/.f64 (fma.f64 x (*.f64 x -9) 4) (fma.f64 x 3 2))
(/.f64 (+.f64 8 (pow.f64 (.f64 x -3) 3)) (+.f64 4 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 2 (.f64 x -3)))))
(.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 (*.f64 x -3) (fma.f64 x -3 -2) 4))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))
(/.f64 (neg.f64 (-.f64 4 (.f64 (.f64 x x) 9))) (neg.f64 (+.f64 2 (*.f64 3 x))))
(.f64 (-.f64 4 (.f64 (.f64 x x) 9)) (/.f64 1 (+.f64 2 (.f64 x 3))))
(/.f64 (+.f64 4 (.f64 x (.f64 x -9))) (fma.f64 x 3 2))
(/.f64 (fma.f64 x (*.f64 x -9) 4) (fma.f64 x 3 2))
(/.f64 (neg.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 4 (+.f64 (.f64 (.f64 x x) 9) (.f64 6 x)))))
(.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 (*.f64 x -3) (fma.f64 x -3 -2) 4))
(/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (fma.f64 x 9 6) 4))
(pow.f64 (+.f64 2 (*.f64 x -3)) 1)
(fma.f64 x -3 2)
(pow.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))) 2)
(fma.f64 x -3 2)
(pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 3)
(fma.f64 x -3 2)
(pow.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3) 1/3)
(fma.f64 x -3 2)
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 2))
(fma.f64 x -3 2)
(log.f64 (exp.f64 (+.f64 2 (*.f64 x -3))))
(fma.f64 x -3 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 x -3)))))
(fma.f64 x -3 2)
(cbrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3))
(fma.f64 x -3 2)
(expm1.f64 (log1p.f64 (+.f64 2 (*.f64 x -3))))
(fma.f64 x -3 2)
(exp.f64 (log.f64 (+.f64 2 (*.f64 x -3))))
(fma.f64 x -3 2)
(exp.f64 (.f64 (log.f64 (+.f64 2 (.f64 x -3))) 1))
(fma.f64 x -3 2)
(log1p.f64 (expm1.f64 (+.f64 2 (*.f64 x -3))))
(fma.f64 x -3 2)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 6 (*.f64 x -9))
✓	0.1b	(.f64 x (+.f64 6 (.f64 x -9)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (+.f64 6 (.f64 x -9)))
0.0ms	x	@	-inf	(.f64 x (+.f64 6 (.f64 x -9)))
0.0ms	x	@	0	(.f64 x (+.f64 6 (.f64 x -9)))
0.0ms	x	@	0	(+.f64 6 (*.f64 x -9))
0.0ms	x	@	-inf	(+.f64 6 (*.f64 x -9))

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`add-sqr-sqrt`
1826×	`*-un-lft-identity`
1728×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
172×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	178	24
2	2264	24

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(.f64 x (+.f64 6 (.f64 x -9)))
(+.f64 6 (*.f64 x -9))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 6) (.f64 -9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -9 (.f64 x x)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 6) 1) (.f64 (.f64 -9 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 36 (.f64 81 (.f64 x x)))) (+.f64 6 (.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 216 (.f64 -729 (pow.f64 x 3)))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) x) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x)))) (-.f64 (.f64 x 6) (.f64 -9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x))) (.f64 (.f64 x 6) (.f64 -9 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (.f64 -9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (.f64 -9 (.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (+.f64 6 (.f64 9 x))) (/.f64 (.f64 81 (.f64 x x)) (+.f64 6 (.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 36 (.f64 81 (.f64 x x))) (/.f64 1 (+.f64 6 (.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 6 (.f64 9 x)) (-.f64 36 (.f64 81 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (+.f64 216 (.f64 -729 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (.f64 81 (.f64 x x))) (+.f64 6 (.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (+.f64 (.f64 81 (.f64 x x)) (-.f64 36 (.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (.f64 x -9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (.f64 81 (.f64 x x)))) (neg.f64 (+.f64 6 (.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 81 (.f64 x x))) (cbrt.f64 (*.f64 x -9)) 6)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 6) 1) (*.f64 (*.f64 -9 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 36 (*.f64 81 (*.f64 x x)))) (+.f64 6 (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 216 (*.f64 -729 (pow.f64 x 3)))) (+.f64 36 (-.f64 (*.f64 81 (*.f64 x x)) (*.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 36 (*.f64 81 (*.f64 x x))) x) (+.f64 6 (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 216 (*.f64 -729 (pow.f64 x 3))) x) (+.f64 36 (-.f64 (*.f64 81 (*.f64 x x)) (*.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 6) (*.f64 x 6)) (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 -9 (*.f64 x x)))) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 6) 3) (pow.f64 (*.f64 -9 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 6) (*.f64 x 6)) (-.f64 (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 -9 (*.f64 x x))) (*.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (*.f64 -9 (*.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (+.f64 6 (*.f64 9 x))) (/.f64 (*.f64 81 (*.f64 x x)) (+.f64 6 (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (*.f64 81 (*.f64 x x))) (/.f64 1 (+.f64 6 (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (*.f64 -729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (*.f64 81 (*.f64 x x)) (*.f64 -54 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 6 (*.f64 9 x)) (-.f64 36 (*.f64 81 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (*.f64 81 (*.f64 x x)) (*.f64 -54 x))) (+.f64 216 (*.f64 -729 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (*.f64 81 (*.f64 x x))) (+.f64 6 (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (*.f64 -729 (pow.f64 x 3))) (+.f64 36 (-.f64 (*.f64 81 (*.f64 x x)) (*.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (*.f64 -729 (pow.f64 x 3))) (+.f64 (*.f64 81 (*.f64 x x)) (-.f64 36 (*.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 81 (*.f64 x x)) 36) (-.f64 (*.f64 x -9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (*.f64 81 (*.f64 x x)))) (neg.f64 (+.f64 6 (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (*.f64 -729 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (*.f64 81 (*.f64 x x)) (*.f64 -54 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -9)) (sqrt.f64 (*.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (*.f64 x x))) (cbrt.f64 (*.f64 x -9)) 6)))))

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1748×	`associate-+r+`
1556×	`associate-+l+`
816×	`unswap-sqr`
668×	`*-commutative`
634×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1840
1	391	1504
2	1575	1364
3	6316	1364

Stop Event

1×	node limit

Counts

82 → 89

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(+.f64 (.f64 (.f64 x 6) 1) (.f64 (.f64 -9 (*.f64 x x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6)))) 1)
(/.f64 (.f64 x (-.f64 36 (.f64 81 (.f64 x x)))) (+.f64 6 (.f64 9 x)))
(/.f64 (.f64 x (+.f64 216 (.f64 -729 (pow.f64 x 3)))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))
(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
(/.f64 (.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) x) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x)))) (-.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x))) (.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))))
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -9 6)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -9 6))) 1)
(-.f64 (/.f64 36 (+.f64 6 (.f64 9 x))) (/.f64 (.f64 81 (.f64 x x)) (+.f64 6 (.f64 9 x))))
(*.f64 (fma.f64 x -9 6) 1)
(*.f64 1 (fma.f64 x -9 6))
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))
(*.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))
(.f64 (-.f64 36 (.f64 81 (.f64 x x))) (/.f64 1 (+.f64 6 (.f64 9 x))))
(.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x)))))
(/.f64 1 (/.f64 (+.f64 6 (.f64 9 x)) (-.f64 36 (.f64 81 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (+.f64 216 (.f64 -729 (pow.f64 x 3)))))
(/.f64 (-.f64 36 (.f64 81 (.f64 x x))) (+.f64 6 (*.f64 9 x)))
(/.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (+.f64 (.f64 81 (.f64 x x)) (-.f64 36 (.f64 -54 x))))
(/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (*.f64 x -9) 6))
(/.f64 (neg.f64 (-.f64 36 (.f64 81 (.f64 x x)))) (neg.f64 (+.f64 6 (*.f64 9 x))))
(/.f64 (neg.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))
(pow.f64 (fma.f64 x -9 6) 1)
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))
(log.f64 (exp.f64 (fma.f64 x -9 6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -9 6))))
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -9 6)))
(exp.f64 (log.f64 (fma.f64 x -9 6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(fma.f64 -9 x 6)
(fma.f64 1 (*.f64 x -9) 6)
(fma.f64 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (.f64 x -9)) 6)
(fma.f64 (cbrt.f64 (.f64 81 (.f64 x x))) (cbrt.f64 (*.f64 x -9)) 6)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 (.f64 x 6) 1) (.f64 (.f64 -9 (*.f64 x x)) 1))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6)))) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(/.f64 (.f64 x (-.f64 36 (.f64 81 (.f64 x x)))) (+.f64 6 (.f64 9 x)))
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x)))))
(.f64 (/.f64 x (fma.f64 x 9 6)) (+.f64 36 (.f64 (*.f64 x x) -81)))
(.f64 x (/.f64 (fma.f64 x (.f64 x 81) -36) (fma.f64 x -9 -6)))
(/.f64 (.f64 x (+.f64 216 (.f64 -729 (pow.f64 x 3)))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))
(/.f64 x (/.f64 (+.f64 36 (+.f64 (.f64 (.f64 x x) 81) (.f64 54 x))) (+.f64 216 (.f64 -729 (pow.f64 x 3)))))
(/.f64 (.f64 x (fma.f64 -729 (pow.f64 x 3) 216)) (+.f64 36 (.f64 x (+.f64 (*.f64 x 81) 54))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (/.f64 (fma.f64 x (fma.f64 x 81 54) 36) x))
(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x)))))
(.f64 (/.f64 x (fma.f64 x 9 6)) (+.f64 36 (.f64 (*.f64 x x) -81)))
(.f64 x (/.f64 (fma.f64 x (.f64 x 81) -36) (fma.f64 x -9 -6)))
(/.f64 (.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) x) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))
(/.f64 x (/.f64 (+.f64 36 (+.f64 (.f64 (.f64 x x) 81) (.f64 54 x))) (+.f64 216 (.f64 -729 (pow.f64 x 3)))))
(/.f64 (.f64 x (fma.f64 -729 (pow.f64 x 3) 216)) (+.f64 36 (.f64 x (+.f64 (*.f64 x 81) 54))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (/.f64 (fma.f64 x (fma.f64 x 81 54) 36) x))
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x)))) (-.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 x 6 (neg.f64 (.f64 -9 (.f64 x x)))))
(/.f64 (fma.f64 x (.f64 36 x) (.f64 -81 (pow.f64 x 4))) (.f64 x (-.f64 6 (.f64 x -9))))
(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
(/.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x))) (.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 216) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x x) 36) (.f64 (.f64 -9 (.f64 x x)) (-.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x)))))
(/.f64 (fma.f64 -729 (pow.f64 (.f64 x x) 3) (.f64 216 (pow.f64 x 3))) (fma.f64 x (.f64 36 x) (.f64 (.f64 x x) (.f64 x (+.f64 (*.f64 x 81) 54)))))
(/.f64 (.f64 (pow.f64 x 3) (fma.f64 -729 (pow.f64 x 3) 216)) (.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 81 54) 36)))
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -9 6)))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -9 6))) 1)
(fma.f64 x -9 6)
(-.f64 (/.f64 36 (+.f64 6 (.f64 9 x))) (/.f64 (.f64 81 (.f64 x x)) (+.f64 6 (.f64 9 x))))
(/.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x -9 -6))
(*.f64 (fma.f64 x -9 6) 1)
(fma.f64 x -9 6)
(*.f64 1 (fma.f64 x -9 6))
(fma.f64 x -9 6)
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(*.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))
(fma.f64 x -9 6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(.f64 (-.f64 36 (.f64 81 (.f64 x x))) (/.f64 1 (+.f64 6 (.f64 9 x))))
(/.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x -9 -6))
(.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x)))))
(.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (+.f64 (.f64 (.f64 x x) 81) (*.f64 54 x)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) 54))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (fma.f64 x (fma.f64 x 81 54) 36))
(/.f64 1 (/.f64 (+.f64 6 (.f64 9 x)) (-.f64 36 (.f64 81 (*.f64 x x)))))
(/.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x -9 -6))
(/.f64 1 (/.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (+.f64 216 (.f64 -729 (pow.f64 x 3)))))
(.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (+.f64 (.f64 (.f64 x x) 81) (*.f64 54 x)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) 54))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (fma.f64 x (fma.f64 x 81 54) 36))
(/.f64 (-.f64 36 (.f64 81 (.f64 x x))) (+.f64 6 (*.f64 9 x)))
(/.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x -9 -6))
(/.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (+.f64 (.f64 (.f64 x x) 81) (*.f64 54 x)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) 54))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (fma.f64 x (fma.f64 x 81 54) 36))
(/.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (+.f64 (.f64 81 (.f64 x x)) (-.f64 36 (.f64 -54 x))))
(.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (+.f64 (.f64 (.f64 x x) 81) (*.f64 54 x)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) 54))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (fma.f64 x (fma.f64 x 81 54) 36))
(/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (*.f64 x -9) 6))
(/.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x -9 -6))
(/.f64 (neg.f64 (-.f64 36 (.f64 81 (.f64 x x)))) (neg.f64 (+.f64 6 (*.f64 9 x))))
(/.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x -9 -6))
(/.f64 (neg.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))
(.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (+.f64 (.f64 (.f64 x x) 81) (*.f64 54 x)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) 54))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) 216) (fma.f64 x (fma.f64 x 81 54) 36))
(pow.f64 (fma.f64 x -9 6) 1)
(fma.f64 x -9 6)
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)
(fma.f64 x -9 6)
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)
(fma.f64 x -9 6)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)
(fma.f64 x -9 6)
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))
(fma.f64 x -9 6)
(log.f64 (exp.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -9 6))))
(fma.f64 x -9 6)
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))
(fma.f64 x -9 6)
(expm1.f64 (log1p.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(exp.f64 (log.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(exp.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) 1))
(fma.f64 x -9 6)
(log1p.f64 (expm1.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(fma.f64 x -9 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(fma.f64 1 (*.f64 x -9) 6)
(fma.f64 x -9 6)
(fma.f64 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (.f64 x -9)) 6)
(fma.f64 x -9 6)
(fma.f64 (cbrt.f64 (.f64 81 (.f64 x x))) (cbrt.f64 (*.f64 x -9)) 6)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 81)) (cbrt.f64 (*.f64 x -9)) 6)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 81))) (cbrt.f64 (*.f64 x -9)) 6)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x -9 6)
✓	0.1b	(*.f64 x (fma.f64 x -9 6))

Compiler

Compiled 14 to 10 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (fma.f64 x -9 6))
0.0ms	x	@	-inf	(*.f64 x (fma.f64 x -9 6))
0.0ms	x	@	inf	(*.f64 x (fma.f64 x -9 6))
0.0ms	x	@	inf	(fma.f64 x -9 6)
0.0ms	x	@	0	(fma.f64 x -9 6)

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`add-sqr-sqrt`
1450×	`*-un-lft-identity`
1358×	`add-cube-cbrt`
1342×	`add-cbrt-cube`
1326×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	161	24
2	1793	24

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x -9 6))
(fma.f64 x -9 6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -9)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -9) x) (*.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -9) 1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -9) (*.f64 x -9)) 36) (-.f64 (*.f64 x -9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -9) 3) 216) (+.f64 (*.f64 (*.f64 x -9) (*.f64 x -9)) (-.f64 36 (*.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -9 6)))))))

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1318×	`associate-+r+`
1162×	`associate-+l+`
732×	`*-commutative`
724×	`unswap-sqr`
438×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	742
1	220	730
2	951	726
3	3464	726
4	7960	726

Stop Event

1×	node limit

Counts

60 → 54

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 (.f64 x (.f64 x -9)) (*.f64 x 6))
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -9 6))) 1)
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(+.f64 6 (*.f64 x -9))
(+.f64 (*.f64 x -9) 6)
(+.f64 (.f64 (.f64 x -9) 1) 6)
(-.f64 (+.f64 1 (fma.f64 x -9 6)) 1)
(*.f64 (fma.f64 x -9 6) 1)
(*.f64 1 (fma.f64 x -9 6))
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))
(*.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))
(/.f64 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) 36) (-.f64 (.f64 x -9) 6))
(/.f64 (+.f64 (pow.f64 (.f64 x -9) 3) 216) (+.f64 (.f64 (.f64 x -9) (.f64 x -9)) (-.f64 36 (.f64 (.f64 x -9) 6))))
(pow.f64 (fma.f64 x -9 6) 1)
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))
(log.f64 (exp.f64 (fma.f64 x -9 6)))
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -9 6)))
(exp.f64 (log.f64 (fma.f64 x -9 6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x -9 6)))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 (.f64 x (.f64 x -9)) (*.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -9 6))) 1)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(*.f64 x (fma.f64 x -9 6))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(*.f64 x (fma.f64 x -9 6))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(*.f64 x (fma.f64 x -9 6))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))
(*.f64 x (fma.f64 x -9 6))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)
(+.f64 (*.f64 x -9) 6)
(fma.f64 x -9 6)
(+.f64 (.f64 (.f64 x -9) 1) 6)
(fma.f64 x -9 6)
(-.f64 (+.f64 1 (fma.f64 x -9 6)) 1)
(fma.f64 x -9 6)
(*.f64 (fma.f64 x -9 6) 1)
(fma.f64 x -9 6)
(*.f64 1 (fma.f64 x -9 6))
(fma.f64 x -9 6)
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(*.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))
(fma.f64 x -9 6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(/.f64 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) 36) (-.f64 (.f64 x -9) 6))
(/.f64 (+.f64 (.f64 (.f64 x x) 81) -36) (fma.f64 x -9 -6))
(/.f64 (fma.f64 x (*.f64 81 x) -36) (fma.f64 x -9 -6))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x -9 -6))
(/.f64 (+.f64 (pow.f64 (.f64 x -9) 3) 216) (+.f64 (.f64 (.f64 x -9) (.f64 x -9)) (-.f64 36 (.f64 (.f64 x -9) 6))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -729) 216) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 x -54))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 (fma.f64 x (.f64 81 x) 36) (.f64 x 54)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 (*.f64 x x) 81 (fma.f64 x 54 36)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 x (*.f64 x 81) (fma.f64 x 54 36)))
(pow.f64 (fma.f64 x -9 6) 1)
(fma.f64 x -9 6)
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)
(fma.f64 x -9 6)
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)
(fma.f64 x -9 6)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)
(fma.f64 x -9 6)
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))
(fma.f64 x -9 6)
(log.f64 (exp.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))
(fma.f64 x -9 6)
(expm1.f64 (log1p.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(exp.f64 (log.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(exp.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) 1))
(fma.f64 x -9 6)
(log1p.f64 (expm1.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2 (*.f64 x 3))
✓	0.1b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
✓	0.1b	(.f64 3 (-.f64 2 (.f64 x 3)))

Compiler

Compiled 28 to 22 computations (21.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 3 (-.f64 2 (.f64 x 3)))
0.0ms	x	@	-inf	(.f64 3 (-.f64 2 (.f64 x 3)))
0.0ms	x	@	inf	(.f64 3 (-.f64 2 (.f64 x 3)))
0.0ms	x	@	-inf	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
0.0ms	x	@	inf	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`*-commutative`
632×	`unswap-sqr`
580×	`swap-sqr`
580×	`associate-*r/`
494×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	197	57
2	2468	57

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

Inputs
(.f64 3 (-.f64 2 (.f64 x 3)))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(-.f64 2 (*.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 3 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 1 (*.f64 3 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 (*.f64 3 (*.f64 x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x -3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 6 (*.f64 3 (*.f64 x -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 3 x)) (+.f64 12 (*.f64 (*.f64 (*.f64 x x) -9) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) (+.f64 (*.f64 x 6) 4)) (*.f64 3 (-.f64 8 (*.f64 (pow.f64 x 3) 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4 (*.f64 (*.f64 x x) -9)) (/.f64 (+.f64 2 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simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-/r/`
1036×	`associate-/l/`
714×	`associate-r`
684×	`distribute-lft-neg-in`
582×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	463	8247
1	1313	6569
2	5280	6569

Stop Event

1×	node limit

Counts

207 → 287

Calls

Call 1

Inputs
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
2
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 (exp.f64 (log1p.f64 (+.f64 6 (.f64 3 (.f64 x -3))))) -1)
(+.f64 6 (.f64 3 (.f64 x -3)))
(+.f64 6 (.f64 1 (.f64 3 (*.f64 x -3))))
(+.f64 6 (.f64 (.f64 3 (*.f64 x -3)) 1))
(+.f64 (.f64 3 (.f64 x -3)) 6)
(-.f64 (exp.f64 (log1p.f64 (+.f64 6 (.f64 3 (.f64 x -3))))) 1)
(/.f64 3 (/.f64 1 (+.f64 2 (*.f64 x -3))))
(/.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (+.f64 12 (.f64 (.f64 (.f64 x x) -9) 3))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) (.f64 3 (-.f64 8 (*.f64 (pow.f64 x 3) 27)))))
(/.f64 (+.f64 4 (.f64 (.f64 x x) -9)) (/.f64 (+.f64 2 (*.f64 3 x)) 3))
(/.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) 3))
(/.f64 (+.f64 12 (.f64 (.f64 (.f64 x x) -9) 3)) (+.f64 2 (.f64 3 x)))
(/.f64 (.f64 3 (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 (.f64 (.f64 x x) 9) (+.f64 (*.f64 x 6) 4)))
(/.f64 (.f64 3 (+.f64 8 (pow.f64 (.f64 x -3) 3))) (+.f64 4 (.f64 (.f64 x -3) (-.f64 (*.f64 x -3) 2))))
(/.f64 (.f64 3 (+.f64 -4 (.f64 (.f64 x x) 9))) (+.f64 (.f64 x -3) -2))
(/.f64 (.f64 3 (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 3) -27)))) (+.f64 -4 (neg.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 3 x))))))
(/.f64 (.f64 1 (+.f64 12 (.f64 (.f64 (.f64 x x) -9) 3))) (+.f64 2 (*.f64 3 x)))
(/.f64 (.f64 1 (.f64 3 (-.f64 8 (.f64 (pow.f64 x 3) 27)))) (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)))
(/.f64 (.f64 (.f64 3 (sqrt.f64 (+.f64 2 (.f64 x -3)))) (sqrt.f64 (+.f64 4 (.f64 (.f64 x x) -9)))) (sqrt.f64 (+.f64 2 (.f64 3 x))))
(/.f64 (.f64 (.f64 3 (sqrt.f64 (+.f64 2 (.f64 x -3)))) (sqrt.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (*.f64 x 6) 4))))
(/.f64 (.f64 (.f64 3 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2)) (cbrt.f64 (+.f64 4 (.f64 (.f64 x x) -9)))) (cbrt.f64 (+.f64 2 (.f64 3 x))))
(/.f64 (.f64 (.f64 3 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2)) (cbrt.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (*.f64 x 6) 4))))
(/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 x -3) 3)) 3) (+.f64 4 (.f64 (.f64 x -3) (-.f64 (*.f64 x -3) 2))))
(/.f64 (.f64 (+.f64 -4 (.f64 (.f64 x x) 9)) 3) (+.f64 (.f64 x -3) -2))
(/.f64 (.f64 (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 3) -27))) 3) (+.f64 -4 (neg.f64 (.f64 (.f64 3 x) (+.f64 2 (*.f64 3 x))))))
(/.f64 (.f64 (+.f64 12 (.f64 (.f64 (.f64 x x) -9) 3)) 1) (+.f64 2 (*.f64 3 x)))
(/.f64 (.f64 (.f64 3 (-.f64 8 (.f64 (pow.f64 x 3) 27))) 1) (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)))
(/.f64 (.f64 (sqrt.f64 (+.f64 4 (.f64 (.f64 x x) -9))) (.f64 3 (sqrt.f64 (+.f64 2 (.f64 x -3))))) (sqrt.f64 (+.f64 2 (.f64 3 x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27))) (.f64 3 (sqrt.f64 (+.f64 2 (.f64 x -3))))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (*.f64 x 6) 4))))
(/.f64 (/.f64 (+.f64 12 (.f64 (.f64 (.f64 x x) -9) 3)) 1) (+.f64 2 (.f64 3 x)))
(/.f64 (/.f64 (+.f64 12 (.f64 (.f64 (.f64 x x) -9) 3)) (sqrt.f64 (+.f64 2 (.f64 3 x)))) (sqrt.f64 (+.f64 2 (*.f64 3 x))))
(/.f64 (/.f64 (+.f64 12 (.f64 (.f64 (.f64 x x) -9) 3)) (.f64 (cbrt.f64 (+.f64 2 (.f64 3 x))) (cbrt.f64 (+.f64 2 (.f64 3 x))))) (cbrt.f64 (+.f64 2 (*.f64 3 x))))
(/.f64 (/.f64 (.f64 3 (-.f64 8 (.f64 (pow.f64 x 3) 27))) 1) (+.f64 (.f64 (.f64 x x) 9) (+.f64 (*.f64 x 6) 4)))
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(/.f64 (/.f64 (.f64 3 (-.f64 8 (.f64 (pow.f64 x 3) 27))) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4))))
(/.f64 (-.f64 36 (.f64 (.f64 3 (.f64 x -3)) (.f64 3 (.f64 x -3)))) (-.f64 6 (.f64 3 (*.f64 x -3))))
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(sqrt.f64 (pow.f64 (+.f64 6 (.f64 3 (.f64 x -3))) 2))
(log.f64 (pow.f64 (exp.f64 3) (+.f64 2 (*.f64 x -3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 6 (.f64 3 (.f64 x -3))))))
(cbrt.f64 (pow.f64 (+.f64 6 (.f64 3 (.f64 x -3))) 3))
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(exp.f64 (log.f64 (+.f64 6 (.f64 3 (.f64 x -3)))))
(log1p.f64 (expm1.f64 (+.f64 6 (.f64 3 (.f64 x -3)))))
(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))
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(/.f64 (.f64 (.f64 3 x) (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)))
(/.f64 (.f64 (.f64 3 x) (+.f64 8 (pow.f64 (.f64 x -3) 3))) (+.f64 4 (.f64 (.f64 x -3) (-.f64 (.f64 x -3) 2))))
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(/.f64 (.f64 (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 3) -27))) (.f64 3 x)) (+.f64 -4 (neg.f64 (.f64 (.f64 3 x) (+.f64 2 (.f64 3 x))))))
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(pow.f64 (cbrt.f64 (+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 3 (.f64 x -3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9)))))
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(expm1.f64 (log1p.f64 (+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))))
(exp.f64 (log.f64 (+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))))
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(+.f64 (-.f64 2 (exp.f64 (log1p.f64 (*.f64 3 x)))) 1)
(.f64 (+.f64 2 (.f64 x -3)) 1)
(.f64 1 (+.f64 2 (.f64 x -3)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 x -3))) (sqrt.f64 (+.f64 2 (*.f64 x -3))))
(.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 2))
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(.f64 (/.f64 1 (+.f64 2 (.f64 3 x))) (+.f64 4 (.f64 (.f64 x x) -9)))
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(.f64 (/.f64 (+.f64 4 (.f64 (.f64 x x) -9)) (+.f64 4 (.f64 (.f64 x x) -9))) (+.f64 2 (.f64 x -3)))
(.f64 (/.f64 (+.f64 4 (.f64 (.f64 x x) -9)) (+.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 4 (.f64 (.f64 3 x) (-.f64 (*.f64 3 x) 2))))
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(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 (.f64 x -3)))) (cbrt.f64 (+.f64 2 (.f64 x -3)))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 2 (.f64 x -3)))) (cbrt.f64 (+.f64 2 (*.f64 x -3)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 x -3)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 x -3)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) (sqrt.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))))) (.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) (sqrt.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 x -3))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 3/2) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 3/2))
(.f64 (pow.f64 (pow.f64 (+.f64 2 (.f64 x -3)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 2 (*.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 2 (*.f64 x -3))) 1))
(/.f64 1 (/.f64 (+.f64 4 (.f64 (.f64 x -3) (-.f64 (.f64 x -3) 2))) (+.f64 8 (pow.f64 (.f64 x -3) 3))))
(/.f64 1 (/.f64 (+.f64 (.f64 x -3) -2) (+.f64 -4 (.f64 (*.f64 x x) 9))))
(/.f64 1 (/.f64 (+.f64 -4 (neg.f64 (.f64 (.f64 3 x) (+.f64 2 (.f64 3 x))))) (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 3) -27)))))
(/.f64 (+.f64 4 (.f64 (.f64 x x) -9)) (+.f64 2 (*.f64 3 x)))
(/.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)))
(/.f64 (sqrt.f64 (+.f64 4 (.f64 (.f64 x x) -9))) (/.f64 (+.f64 2 (.f64 3 x)) (sqrt.f64 (+.f64 4 (.f64 (*.f64 x x) -9)))))
(/.f64 (sqrt.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27))) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) (sqrt.f64 (-.f64 8 (*.f64 (pow.f64 x 3) 27)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 4 (.f64 (.f64 x x) -9))) (cbrt.f64 (+.f64 4 (.f64 (.f64 x x) -9)))) (/.f64 (+.f64 2 (.f64 3 x)) (cbrt.f64 (+.f64 4 (.f64 (.f64 x x) -9)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27))) (cbrt.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)))) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) (cbrt.f64 (-.f64 8 (*.f64 (pow.f64 x 3) 27)))))
(/.f64 (-.f64 64 (.f64 729 (pow.f64 x 6))) (.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) (+.f64 8 (.f64 (pow.f64 x 3) 27))))
(/.f64 (-.f64 16 (.f64 81 (pow.f64 x 4))) (.f64 (+.f64 2 (.f64 3 x)) (+.f64 (.f64 (*.f64 x x) 9) 4)))
(/.f64 (+.f64 8 (pow.f64 (.f64 x -3) 3)) (+.f64 4 (.f64 (.f64 x -3) (-.f64 (.f64 x -3) 2))))
(/.f64 (+.f64 8 (pow.f64 (.f64 x -3) 3)) (+.f64 (.f64 (.f64 x x) 9) (-.f64 4 (neg.f64 (.f64 x 6)))))
(/.f64 (-.f64 512 (pow.f64 (.f64 (pow.f64 x 3) 27) 3)) (.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) (+.f64 64 (+.f64 (.f64 729 (pow.f64 x 6)) (.f64 8 (.f64 (pow.f64 x 3) 27))))))
(/.f64 (-.f64 64 (pow.f64 (.f64 (.f64 x x) 9) 3)) (.f64 (+.f64 2 (.f64 3 x)) (+.f64 16 (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 36 (*.f64 x x))))))
(/.f64 (+.f64 -4 (.f64 (.f64 x x) 9)) (+.f64 (*.f64 x -3) -2))
(/.f64 (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 3) -27))) (+.f64 -4 (neg.f64 (.f64 (.f64 3 x) (+.f64 2 (.f64 3 x))))))
(/.f64 (.f64 1 (+.f64 8 (pow.f64 (.f64 x -3) 3))) (+.f64 4 (.f64 (.f64 x -3) (-.f64 (*.f64 x -3) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 x -3))) (sqrt.f64 (+.f64 4 (.f64 (.f64 x x) -9)))) (sqrt.f64 (+.f64 2 (*.f64 3 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 x -3))) (sqrt.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2) (cbrt.f64 (+.f64 4 (.f64 (.f64 x x) -9)))) (cbrt.f64 (+.f64 2 (*.f64 3 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 2 (.f64 x -3))) 2) (cbrt.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4))))
(/.f64 (.f64 (+.f64 8 (pow.f64 (.f64 x -3) 3)) 1) (+.f64 4 (.f64 (.f64 x -3) (-.f64 (*.f64 x -3) 2))))
(/.f64 (.f64 (+.f64 -4 (.f64 (.f64 x x) 9)) 1) (+.f64 (.f64 x -3) -2))
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(/.f64 (.f64 (sqrt.f64 (+.f64 4 (.f64 (.f64 x x) -9))) (sqrt.f64 (+.f64 2 (.f64 x -3)))) (sqrt.f64 (+.f64 2 (*.f64 3 x))))
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(/.f64 (/.f64 (+.f64 4 (.f64 (.f64 x x) -9)) 1) (+.f64 2 (*.f64 3 x)))
(/.f64 (/.f64 (+.f64 4 (.f64 (.f64 x x) -9)) (sqrt.f64 (+.f64 2 (.f64 3 x)))) (sqrt.f64 (+.f64 2 (.f64 3 x))))
(/.f64 (/.f64 (+.f64 4 (.f64 (.f64 x x) -9)) (.f64 (cbrt.f64 (+.f64 2 (.f64 3 x))) (cbrt.f64 (+.f64 2 (.f64 3 x))))) (cbrt.f64 (+.f64 2 (.f64 3 x))))
(/.f64 (/.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) 1) (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)))
(/.f64 (/.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (*.f64 x 6) 4))))
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(/.f64 (-.f64 (.f64 (.f64 x x) 9) 4) (-.f64 (*.f64 x -3) 2))
(/.f64 (-.f64 (.f64 (exp.f64 (log.f64 (+.f64 3 (.f64 x -3)))) (exp.f64 (log.f64 (+.f64 3 (.f64 x -3))))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 3 (.f64 x -3)))) 1))
(/.f64 (-.f64 (.f64 (/.f64 4 (+.f64 2 (.f64 3 x))) (/.f64 4 (+.f64 2 (.f64 3 x)))) (.f64 (/.f64 (.f64 x x) (/.f64 (+.f64 2 (.f64 3 x)) 9)) (/.f64 (.f64 x x) (/.f64 (+.f64 2 (.f64 3 x)) 9)))) (+.f64 (/.f64 4 (+.f64 2 (.f64 3 x))) (/.f64 (.f64 x x) (/.f64 (+.f64 2 (*.f64 3 x)) 9))))
(/.f64 (-.f64 (.f64 (/.f64 8 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4))) (/.f64 8 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)))) (.f64 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) 27)) (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) 27)))) (+.f64 (/.f64 8 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4))) (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) 27))))
(pow.f64 (+.f64 2 (*.f64 x -3)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 3)
(pow.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 4 (.f64 (.f64 x x) -9)) (+.f64 (*.f64 x -3) -2)))
(neg.f64 (/.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 -4 (neg.f64 (.f64 (.f64 3 x) (+.f64 2 (.f64 3 x)))))))
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 2))
(log.f64 (exp.f64 (+.f64 2 (*.f64 x -3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 x -3)))))
(cbrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3))
(expm1.f64 (log.f64 (+.f64 3 (*.f64 x -3))))
(exp.f64 (log.f64 (+.f64 2 (*.f64 x -3))))
(log1p.f64 (expm1.f64 (+.f64 2 (*.f64 x -3))))

Outputs
6
(+.f64 (*.f64 -9 x) 6)
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(/.f64 (-.f64 (.f64 (/.f64 4 (+.f64 2 (.f64 x 3))) (/.f64 4 (+.f64 2 (.f64 x 3)))) (.f64 (.f64 (/.f64 (.f64 x x) (+.f64 2 (.f64 x 3))) 9) (.f64 (/.f64 (.f64 x x) (+.f64 2 (.f64 x 3))) 9))) (+.f64 (/.f64 4 (+.f64 2 (.f64 x 3))) (.f64 (/.f64 (.f64 x x) (+.f64 2 (.f64 x 3))) 9)))
(/.f64 (-.f64 (/.f64 (/.f64 16 (fma.f64 x 3 2)) (fma.f64 x 3 2)) (/.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 x 3 2) 9)) (/.f64 (fma.f64 x 3 2) 9))) (fma.f64 (/.f64 x (/.f64 (fma.f64 x 3 2) x)) 9 (/.f64 4 (fma.f64 x 3 2))))
(/.f64 (-.f64 (/.f64 (/.f64 16 (fma.f64 x 3 2)) (fma.f64 x 3 2)) (/.f64 (pow.f64 x 4) (.f64 (/.f64 (fma.f64 x 3 2) 9) (/.f64 (fma.f64 x 3 2) 9)))) (fma.f64 (.f64 (/.f64 x (fma.f64 x 3 2)) x) 9 (/.f64 4 (fma.f64 x 3 2))))
(/.f64 (-.f64 (.f64 (/.f64 8 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4))) (/.f64 8 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)))) (.f64 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) 27)) (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) 27)))) (+.f64 (/.f64 8 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4))) (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 x 6) 4)) 27))))
(/.f64 (-.f64 (.f64 (/.f64 8 (fma.f64 (.f64 x x) 9 (fma.f64 x 6 4))) (/.f64 8 (fma.f64 (.f64 x x) 9 (fma.f64 x 6 4)))) (.f64 (.f64 (/.f64 (pow.f64 x 3) (fma.f64 (.f64 x x) 9 (fma.f64 x 6 4))) 27) (.f64 (/.f64 (pow.f64 x 3) (fma.f64 (.f64 x x) 9 (fma.f64 x 6 4))) 27))) (+.f64 (/.f64 8 (fma.f64 (.f64 x x) 9 (fma.f64 x 6 4))) (.f64 (/.f64 (pow.f64 x 3) (fma.f64 (*.f64 x x) 9 (fma.f64 x 6 4))) 27)))
(/.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 x (+.f64 6 (.f64 x 9)) 4)) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 6 (.f64 x 9)) 4)) 27 (/.f64 8 (fma.f64 x (+.f64 6 (.f64 x 9)) 4)))) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 6 (.f64 x 9)) 4)) 27 (/.f64 8 (fma.f64 x (+.f64 6 (.f64 x 9)) 4))))
(pow.f64 (+.f64 2 (*.f64 x -3)) 1)
(fma.f64 x -3 2)
(pow.f64 (sqrt.f64 (+.f64 2 (*.f64 x -3))) 2)
(fma.f64 x -3 2)
(pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x -3))) 3)
(fma.f64 x -3 2)
(pow.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3) 1/3)
(fma.f64 x -3 2)
(neg.f64 (/.f64 (+.f64 4 (.f64 (.f64 x x) -9)) (+.f64 (*.f64 x -3) -2)))
(/.f64 (fma.f64 (*.f64 x x) 9 -4) (fma.f64 x -3 -2))
(/.f64 (fma.f64 x (*.f64 x 9) -4) (fma.f64 x -3 -2))
(neg.f64 (/.f64 (-.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 -4 (neg.f64 (.f64 (.f64 3 x) (+.f64 2 (.f64 3 x)))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -8) (-.f64 -4 (.f64 3 (.f64 x (+.f64 2 (.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -8) (fma.f64 (*.f64 x -3) (fma.f64 x 3 2) -4))
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -3 2) 2))
(fabs.f64 (fma.f64 x -3 2))
(log.f64 (exp.f64 (+.f64 2 (*.f64 x -3))))
(fma.f64 x -3 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 x -3)))))
(fma.f64 x -3 2)
(cbrt.f64 (pow.f64 (+.f64 2 (*.f64 x -3)) 3))
(fma.f64 x -3 2)
(expm1.f64 (log.f64 (+.f64 3 (*.f64 x -3))))
(fma.f64 x -3 2)
(exp.f64 (log.f64 (+.f64 2 (*.f64 x -3))))
(fma.f64 x -3 2)
(log1p.f64 (expm1.f64 (+.f64 2 (*.f64 x -3))))
(fma.f64 x -3 2)

eval187.0ms (2.4%)

Compiler: Compiled 9379 to 7163 computations (23.6% saved)

prune78.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	513	12	525
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	516	13	529

Error

Counts

529 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
	42.9b	(pow.f64 (sqrt.f64 (+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))) 2)
	0.3b	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
▶	7.5b	(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
	10.5b	(/.f64 (.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) x) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))
	0.2b	(/.f64 (.f64 x 3) (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (.f64 x x)) 4)))
▶	0.3b	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 x -3))))
	0.4b	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x)))))
	0.2b	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
▶	41.0b	(.f64 (.f64 -9 x) x)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
▶	22.7b	(*.f64 x 6)
	41.0b	(.f64 -9 (.f64 x x))

Compiler

Compiled 290 to 218 computations (24.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
✓	0.2b	(.f64 -9 (.f64 x x))

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 -9 (.f64 x x))
0.0ms	x	@	inf	(.f64 -9 (.f64 x x))
0.0ms	x	@	0	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
0.0ms	x	@	-inf	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
0.0ms	x	@	inf	(fma.f64 x 6 (.f64 -9 (.f64 x x)))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`add-sqr-sqrt`
1604×	`*-un-lft-identity`
1500×	`add-cube-cbrt`
1488×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	183	34
2	2071	34

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(.f64 -9 (.f64 x x))
(fma.f64 x 6 (.f64 -9 (.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -9 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -9 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -9 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 6) 1) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) (sqrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 6) (*.f64 x 6)) (*.f64 (pow.f64 x 4) 81)) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 6) 3) (pow.f64 (*.f64 -9 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 6) (*.f64 x 6)) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))))

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

820×	`associate-/r*`
714×	`distribute-lft-neg-in`
676×	`distribute-rgt-neg-in`
622×	`unswap-sqr`
538×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1156
1	225	1072
2	1052	934
3	4417	934

Stop Event

1×	node limit

Counts

60 → 51

Calls

Call 1

Inputs
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -9 (.f64 x x)))) 1)
(pow.f64 (.f64 -9 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -9)) 2)
(pow.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -9 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 -9 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -9 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 -9 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 -9 (.f64 x x))))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
(+.f64 (.f64 (.f64 x 6) 1) (.f64 -9 (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))))) 1)
(.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x))) 1)
(.f64 1 (fma.f64 x 6 (.f64 -9 (*.f64 x x))))
(.f64 (sqrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) (sqrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))))
(.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (pow.f64 x 4) 81)) (-.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))))
(pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 2))
(log.f64 (exp.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(exp.f64 (log.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))

Outputs
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(-.f64 (exp.f64 (log1p.f64 (.f64 -9 (.f64 x x)))) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (.f64 -9 (.f64 x x)) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -9)) 2)
(.f64 -9 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) 3)
(.f64 -9 (.f64 x x))
(pow.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3) 1/3)
(.f64 -9 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))
(.f64 -9 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -9 (.f64 x x)))))
(.f64 -9 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3))
(.f64 -9 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 -9 (.f64 x x))))
(.f64 -9 (.f64 x x))
(exp.f64 (log.f64 (.f64 -9 (.f64 x x))))
(.f64 -9 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 -9 (*.f64 x x))) 1))
(.f64 -9 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 -9 (.f64 x x))))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 (.f64 x 6) 1) (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))))) 1)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x))) 1)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 1 (fma.f64 x 6 (.f64 -9 (*.f64 x x))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (sqrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) (sqrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))) 2))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (pow.f64 x 4) 81)) (-.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 (pow.f64 x 4) 81)) (+.f64 (.f64 x 6) (.f64 9 (.f64 x x))))
(/.f64 (fma.f64 x (.f64 36 x) (.f64 (pow.f64 x 4) -81)) (.f64 x (-.f64 6 (.f64 -9 x))))
(/.f64 (fma.f64 x (.f64 x 36) (.f64 (pow.f64 x 4) -81)) (.f64 x (+.f64 6 (.f64 x 9))))
(/.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))))
(/.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216)) (-.f64 (+.f64 (.f64 (.f64 x x) 36) (.f64 (pow.f64 x 4) 81)) (.f64 (.f64 -9 (.f64 x x)) (.f64 x 6))))
(/.f64 (fma.f64 -729 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x 6) 3)) (fma.f64 x (.f64 36 x) (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) (*.f64 x -54)))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (pow.f64 (.f64 x 6) 3)) (fma.f64 (pow.f64 x 4) 81 (.f64 (.f64 x x) (+.f64 (.f64 x 54) 36))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 -729 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 81 (.f64 x (.f64 x (+.f64 36 (.f64 x 54))))))
(pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 1)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(pow.f64 (sqrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 2)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 3)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(pow.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 3) 1/3)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(sqrt.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 2))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(log.f64 (exp.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(cbrt.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 3))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(expm1.f64 (log1p.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(exp.f64 (log.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(exp.f64 (.f64 (log.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))) 1))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(log1p.f64 (expm1.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 -9 x) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 -9 x) x)
0.0ms	x	@	inf	(.f64 (.f64 -9 x) x)
0.0ms	x	@	-inf	(.f64 (.f64 -9 x) x)

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`add-sqr-sqrt`
1090×	`*-un-lft-identity`
1034×	`pow1`
1018×	`add-cube-cbrt`
1004×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	121	13
2	1385	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 -9 x) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -9) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -9 (*.f64 x x))))))))

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1160×	`log-prod`
712×	`associate-r`
700×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	299
1	88	299
2	328	299
3	1870	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 -9 (.f64 x x))) 1)
(pow.f64 (.f64 -9 (.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 -9) x) 2)
(pow.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 -9 (.f64 x x)) 2))
(log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 -9 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -9 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 -9 (.f64 x x))))

Outputs
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(-.f64 (+.f64 1 (.f64 -9 (.f64 x x))) 1)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(pow.f64 (.f64 -9 (.f64 x x)) 1)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(pow.f64 (*.f64 (sqrt.f64 -9) x) 2)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(pow.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) 3)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(pow.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3) 1/3)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(sqrt.f64 (pow.f64 (.f64 -9 (.f64 x x)) 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(cbrt.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(expm1.f64 (log1p.f64 (.f64 -9 (.f64 x x))))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(exp.f64 (log.f64 (.f64 -9 (.f64 x x))))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))
(log1p.f64 (expm1.f64 (.f64 -9 (.f64 x x))))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 -9 x))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 x -3))
✓	0.1b	(/.f64 1 (+.f64 2 (*.f64 x -3)))
✓	0.2b	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 x -3))))

Compiler

Compiled 35 to 28 computations (20% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`*-commutative`
884×	`associate-/r/`
676×	`unswap-sqr`
630×	`swap-sqr`
426×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	260	45
2	3481	45

Stop Event

1×	node limit

Counts

3 → 331

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) (fma.f64 (*.f64 3 x) 2 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) (+.f64 (fma.f64 (*.f64 3 x) 2 (*.f64 x -6)) (fma.f64 (*.f64 3 x) 2 (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) (*.f64 1 (fma.f64 (*.f64 3 x) 2 (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) (*.f64 (fma.f64 (*.f64 3 x) 2 (*.f64 x -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (+.f64 (*.f64 x -6) (fma.f64 (*.f64 3 x) 2 (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -6) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 3 x) 2 (*.f64 x -6)) (*.f64 3 (*.f64 x (fma.f64 x -3 2))))))) 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(fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (*.f64 -27 (pow.f64 x 3)))) (*.f64 (pow.f64 (fma.f64 x -3 2) -1/2) (sqrt.f64 (+.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -4 (*.f64 9 (*.f64 x x))) (+.f64 (*.f64 3 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27 (pow.f64 x 3)) -8) (+.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (*.f64 x x)) 4) (+.f64 (*.f64 3 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (*.f64 729 (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 4) (+.f64 8 (*.f64 -27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 16 (*.f64 (*.f64 x (pow.f64 x 3)) 81)) (*.f64 (+.f64 (*.f64 9 (*.f64 x x)) 4) (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 512 (pow.f64 (*.f64 -27 (pow.f64 x 3)) 3)) (*.f64 (+.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 4) (+.f64 64 (*.f64 (*.f64 -27 (pow.f64 x 3)) (-.f64 (*.f64 -27 (pow.f64 x 3)) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (pow.f64 (*.f64 9 (*.f64 x x)) 3)) (*.f64 (fma.f64 x -3 2) (+.f64 16 (+.f64 (*.f64 (*.f64 x (pow.f64 x 3)) 81) (*.f64 36 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -4 (*.f64 9 (*.f64 x x)))) (fma.f64 x -3 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -27 (pow.f64 x 3)) -8)) (+.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x -3 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 3 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) 4) (+.f64 (*.f64 3 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 8 (*.f64 -27 (pow.f64 x 3))) (+.f64 (*.f64 3 (*.f64 x (fma.f64 x -3 2))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) 2)))))

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1198×	`*-commutative`
936×	`associate-*r/`
880×	`associate-/r*`
772×	`associate-/l*`
722×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	729	14331
1	2225	13951

Stop Event

1×	node limit

Counts

367 → 556

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
1/2
(+.f64 1/2 (*.f64 3/4 x))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 3/4 x)))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 (.f64 27/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 3/4 x))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
2
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(+.f64 (*.f64 -3 x) 2)
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 2 (*.f64 -3 x))
(+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) (fma.f64 (.f64 3 x) 2 (.f64 x -6)))
(+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) (+.f64 (fma.f64 (.f64 3 x) 2 (.f64 x -6)) (fma.f64 (.f64 3 x) 2 (.f64 x -6))))
(+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) (.f64 1 (fma.f64 (.f64 3 x) 2 (*.f64 x -6))))
(+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) (.f64 (fma.f64 (.f64 3 x) 2 (*.f64 x -6)) 1))
(+.f64 (.f64 9 (.f64 x x)) (*.f64 x -6))
(+.f64 (.f64 9 (.f64 x x)) (+.f64 (.f64 x -6) (fma.f64 (.f64 3 x) 2 (*.f64 x -6))))
(+.f64 (.f64 x -6) (.f64 9 (*.f64 x x)))
(+.f64 (fma.f64 (.f64 3 x) 2 (.f64 x -6)) (.f64 3 (.f64 x (fma.f64 x -3 2))))
(-.f64 (.f64 9 (.f64 x x)) (*.f64 x -6))
(-.f64 (.f64 9 (.f64 x x)) (-.f64 (.f64 x -6) (fma.f64 (.f64 3 x) 2 (*.f64 x -6))))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))))) 1)
(.f64 3 (.f64 x (fma.f64 x -3 2)))
(.f64 3 (.f64 (/.f64 x 1) (fma.f64 x -3 2)))
(.f64 3 (neg.f64 (.f64 x (fma.f64 x -3 2))))
(.f64 3 (neg.f64 (.f64 (/.f64 x 1) (fma.f64 x -3 2))))
(.f64 x (.f64 3 (fma.f64 x -3 2)))
(.f64 x (+.f64 (.f64 (*.f64 3 x) -3) -6))
(.f64 x (+.f64 (.f64 3 (*.f64 3 x)) -6))
(.f64 x (+.f64 -6 (.f64 (*.f64 3 x) -3)))
(.f64 x (+.f64 -6 (.f64 3 (*.f64 3 x))))
(.f64 x (-.f64 (.f64 (*.f64 3 x) -3) -6))
(.f64 x (-.f64 (.f64 3 (*.f64 3 x)) -6))
(.f64 x (neg.f64 (.f64 3 (fma.f64 x -3 2))))
(.f64 (.f64 3 x) (fma.f64 x -3 2))
(.f64 (.f64 3 x) (+.f64 (*.f64 3 x) -2))
(.f64 1 (.f64 3 (*.f64 x (fma.f64 x -3 2))))
(.f64 -3 (.f64 x (fma.f64 x -3 2)))
(.f64 -3 (.f64 (/.f64 x 1) (fma.f64 x -3 2)))
(.f64 -3 (neg.f64 (.f64 x (fma.f64 x -3 2))))
(.f64 -3 (-.f64 (.f64 x (.f64 3 x)) (.f64 x 2)))
(.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))) 1)
(.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))) -1)
(.f64 (sqrt.f64 (.f64 3 x)) (.f64 (sqrt.f64 (.f64 3 x)) (fma.f64 x -3 2)))
(.f64 (sqrt.f64 (.f64 3 x)) (-.f64 (.f64 (.f64 3 x) (sqrt.f64 (.f64 3 x))) (.f64 2 (sqrt.f64 (*.f64 3 x)))))
(.f64 (sqrt.f64 (.f64 3 x)) (neg.f64 (.f64 (sqrt.f64 (.f64 3 x)) (fma.f64 x -3 2))))
(.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x -3 2)))) (sqrt.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2)))))
(.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x -3 2)))) (neg.f64 (sqrt.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))))))
(.f64 (sqrt.f64 (fma.f64 x -3 2)) (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))))
(.f64 (cbrt.f64 (.f64 3 x)) (+.f64 (.f64 (.f64 3 x) (pow.f64 (cbrt.f64 (.f64 3 x)) 2)) (.f64 2 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2))))
(.f64 (cbrt.f64 (.f64 3 x)) (+.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 3 x)) 2)) (.f64 (.f64 3 x) (pow.f64 (cbrt.f64 (*.f64 3 x)) 2))))
(.f64 (cbrt.f64 (.f64 3 x)) (-.f64 (.f64 (.f64 3 x) (pow.f64 (cbrt.f64 (.f64 3 x)) 2)) (.f64 2 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) (.f64 (cbrt.f64 (.f64 3 x)) (fma.f64 x -3 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) (neg.f64 (.f64 (cbrt.f64 (.f64 3 x)) (fma.f64 x -3 2))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x -3 2)))) (pow.f64 (cbrt.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2)))) 2))
(.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x -3 2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x -3 2)))) (neg.f64 (pow.f64 (cbrt.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x -3 2)))) 2) (cbrt.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x -3 2)))) 2) (neg.f64 (cbrt.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))))))
(.f64 (cbrt.f64 (fma.f64 x -3 2)) (.f64 (*.f64 3 x) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2))))
(.f64 (fma.f64 x -3 2) (.f64 3 x))
(.f64 -1 (.f64 3 (*.f64 x (fma.f64 x -3 2))))
(.f64 (+.f64 (.f64 3 x) -2) (*.f64 3 x))
(.f64 (.f64 (*.f64 3 x) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2))) (cbrt.f64 (fma.f64 x -3 2)))
(.f64 (.f64 (*.f64 3 x) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2))) (neg.f64 (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (.f64 x (fma.f64 x -3 2)) 3)
(.f64 (.f64 (sqrt.f64 (.f64 3 x)) (fma.f64 x -3 2)) (sqrt.f64 (.f64 3 x)))
(.f64 (.f64 (cbrt.f64 (.f64 3 x)) (fma.f64 x -3 2)) (pow.f64 (cbrt.f64 (.f64 3 x)) 2))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (.f64 (*.f64 3 x) (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (fma.f64 x -3 2)))
(.f64 (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))) (neg.f64 (sqrt.f64 (fma.f64 x -3 2))))
(.f64 (.f64 (/.f64 x 1) (fma.f64 x -3 2)) 3)
(.f64 (/.f64 x (pow.f64 (fma.f64 x -3 2) -1/2)) (.f64 3 (sqrt.f64 (fma.f64 x -3 2))))
(.f64 (/.f64 x (pow.f64 (fma.f64 x -3 2) -1/2)) (neg.f64 (.f64 3 (sqrt.f64 (fma.f64 x -3 2)))))
(.f64 (.f64 (/.f64 x 1) (cbrt.f64 (fma.f64 x -3 2))) (/.f64 3 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))))
(.f64 (.f64 (*.f64 3 x) (cbrt.f64 (fma.f64 x -3 2))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))))
(.f64 (.f64 3 (fma.f64 x -3 2)) x)
(.f64 (.f64 3 (fma.f64 x -3 2)) (neg.f64 x))
(.f64 (.f64 3 (fma.f64 x -3 2)) (/.f64 x 1))
(.f64 (neg.f64 x) (.f64 3 (fma.f64 x -3 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 3 x))) (.f64 (sqrt.f64 (.f64 3 x)) (fma.f64 x -3 2)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2)) (.f64 (cbrt.f64 (.f64 3 x)) (fma.f64 x -3 2)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 x -3 2))) (.f64 (*.f64 3 x) (sqrt.f64 (fma.f64 x -3 2))))
(.f64 (.f64 3 (sqrt.f64 (fma.f64 x -3 2))) (/.f64 x (pow.f64 (fma.f64 x -3 2) -1/2)))
(.f64 (.f64 3 (sqrt.f64 (fma.f64 x -3 2))) (neg.f64 (/.f64 x (pow.f64 (fma.f64 x -3 2) -1/2))))
(.f64 (/.f64 3 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (.f64 (/.f64 x 1) (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (/.f64 3 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (neg.f64 (.f64 (/.f64 x 1) (cbrt.f64 (fma.f64 x -3 2)))))
(.f64 (/.f64 x 1) (.f64 3 (fma.f64 x -3 2)))
(.f64 (/.f64 x 1) (neg.f64 (.f64 3 (fma.f64 x -3 2))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (.f64 3 (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (neg.f64 (.f64 3 (cbrt.f64 (fma.f64 x -3 2)))))
(.f64 (.f64 3 (cbrt.f64 (fma.f64 x -3 2))) (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))))
(.f64 (/.f64 (sqrt.f64 (.f64 3 x)) 1) (/.f64 (sqrt.f64 (*.f64 3 x)) (/.f64 1 (fma.f64 x -3 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 3 x)) 1) (neg.f64 (/.f64 (sqrt.f64 (*.f64 3 x)) (/.f64 1 (fma.f64 x -3 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 3 x)) (/.f64 1 (fma.f64 x -3 2))) (sqrt.f64 (*.f64 3 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 3 x)) (/.f64 1 (fma.f64 x -3 2))) (/.f64 (sqrt.f64 (*.f64 3 x)) 1))
(.f64 (/.f64 (sqrt.f64 (.f64 3 x)) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (.f64 (/.f64 (sqrt.f64 (.f64 3 x)) 1) (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 3 x)) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (.f64 3 x)) 1) (cbrt.f64 (fma.f64 x -3 2)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 3 x)) 1) (cbrt.f64 (fma.f64 x -3 2))) (/.f64 (sqrt.f64 (.f64 3 x)) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) 1) (.f64 (/.f64 (cbrt.f64 (.f64 3 x)) 1) (fma.f64 x -3 2)))
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(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x -3 2)))) (pow.f64 (fma.f64 x -3 2) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -3 2)))) (/.f64 1 (cbrt.f64 (fma.f64 x -3 2)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -3 2)))) (/.f64 1 (cbrt.f64 (fma.f64 x -3 2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2)))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))))) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -1/2))))
(pow.f64 (/.f64 1 (fma.f64 x -3 2)) 1)
(pow.f64 (pow.f64 (fma.f64 x -3 2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -3 2) 3)) 1/3)
(pow.f64 (fma.f64 x -3 2) -1)
(neg.f64 (/.f64 -1 (fma.f64 x -3 2)))
(sqrt.f64 (pow.f64 (fma.f64 x -3 2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -3 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -3 2)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -3 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -3 2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -3 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -3 2))))
(-.f64 2 (*.f64 3 x))
(-.f64 0 (+.f64 (*.f64 3 x) -2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -3 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 x))) -1)
(-.f64 (/.f64 4 (fma.f64 x -3 2)) (/.f64 (.f64 9 (.f64 x x)) (fma.f64 x -3 2)))
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (*.f64 3 x)))) 1)
(*.f64 1 (fma.f64 x -3 2))
(.f64 (/.f64 1 (fma.f64 x -3 2)) (+.f64 (.f64 9 (*.f64 x x)) 4))
(*.f64 (sqrt.f64 (fma.f64 x -3 2)) (sqrt.f64 (fma.f64 x -3 2)))
(*.f64 (sqrt.f64 (fma.f64 x -3 2)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x -3 2)))))
(*.f64 (cbrt.f64 (fma.f64 x -3 2)) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)) (cbrt.f64 (fma.f64 x -3 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 x -3 2)))))
(.f64 (+.f64 (.f64 9 (*.f64 x x)) 4) (/.f64 1 (fma.f64 x -3 2)))
(*.f64 (fma.f64 x -3 2) 1)
(.f64 (+.f64 8 (.f64 -27 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4)))
(.f64 -1 (+.f64 (.f64 3 x) -2))
(.f64 (+.f64 (.f64 3 x) -2) -1)
(.f64 (sqrt.f64 (+.f64 (.f64 3 x) -2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 3 x) -2))))
(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 3 x) -2)) (cbrt.f64 (+.f64 (.f64 3 x) -2))) (neg.f64 (cbrt.f64 (+.f64 (*.f64 3 x) -2))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x -3 2))) (neg.f64 (sqrt.f64 (fma.f64 x -3 2))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2))) (neg.f64 (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (/.f64 1 (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4)) (+.f64 8 (.f64 -27 (pow.f64 x 3))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)))) (cbrt.f64 (fma.f64 x -3 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x -3 2)) 1) (sqrt.f64 (fma.f64 x -3 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x -3 2)) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 3 x) -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)) 1) (cbrt.f64 (fma.f64 x -3 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)) -1) (cbrt.f64 (+.f64 (.f64 3 x) -2)))
(.f64 (/.f64 (+.f64 (.f64 9 (*.f64 x x)) 4) 1) (/.f64 1 (fma.f64 x -3 2)))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) 1) (/.f64 (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4) (+.f64 8 (.f64 -27 (pow.f64 x 3)))))
(.f64 (/.f64 (+.f64 (.f64 9 (*.f64 x x)) 4) (sqrt.f64 (fma.f64 x -3 2))) (pow.f64 (fma.f64 x -3 2) -1/2))
(.f64 (/.f64 (+.f64 (.f64 9 (*.f64 x x)) 4) (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2))) (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) (+.f64 (.f64 9 (*.f64 x x)) 4)) (fma.f64 x -3 2))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) (+.f64 8 (.f64 -27 (pow.f64 x 3)))) (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4))
(.f64 (/.f64 (+.f64 (.f64 9 (*.f64 x x)) 4) -1) (/.f64 -1 (fma.f64 x -3 2)))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) (+.f64 (.f64 3 x) -2)) -1)
(.f64 (/.f64 (+.f64 (.f64 9 (*.f64 x x)) 4) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) (+.f64 -4 (.f64 9 (.f64 x x)))) (+.f64 (.f64 3 x) -2))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) (+.f64 (.f64 -27 (pow.f64 x 3)) -8)) (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) -4))
(.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) (-.f64 (.f64 9 (.f64 x x)) 4)) (+.f64 (.f64 3 x) -2))
(.f64 (/.f64 (+.f64 8 (.f64 -27 (pow.f64 x 3))) (+.f64 16 (pow.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 2))) (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4))
(.f64 (/.f64 (+.f64 8 (.f64 -27 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 3) 64)) (+.f64 16 (.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) (-.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))) 4))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) 1) (cbrt.f64 (fma.f64 x -3 2)))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) -1) (cbrt.f64 (+.f64 (.f64 3 x) -2)))
(.f64 (/.f64 (+.f64 -4 (.f64 9 (.f64 x x))) (+.f64 -4 (.f64 9 (*.f64 x x)))) (fma.f64 x -3 2))
(.f64 (/.f64 (+.f64 -4 (.f64 9 (.f64 x x))) (+.f64 (.f64 -27 (pow.f64 x 3)) -8)) (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 3 x) -2))) (sqrt.f64 (+.f64 (*.f64 3 x) -2)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 (.f64 3 x) -2)) (cbrt.f64 (+.f64 (.f64 3 x) -2)))) (cbrt.f64 (+.f64 (*.f64 3 x) -2)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x -3 2)))) (sqrt.f64 (fma.f64 x -3 2)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)))) (cbrt.f64 (fma.f64 x -3 2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -3 2))) (cbrt.f64 (fma.f64 x -3 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -3 2))) (cbrt.f64 (fma.f64 x -3 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -3 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x -3 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -3 2)))) (*.f64 (cbrt.f64 (fma.f64 x -3 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -3 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x -3 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x -3 2)))))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) 4)) (pow.f64 (fma.f64 x -3 2) -1/2)) (.f64 (sqrt.f64 (+.f64 (.f64 9 (*.f64 x x)) 4)) (pow.f64 (fma.f64 x -3 2) -1/2)))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) 4)) (pow.f64 (sqrt.f64 (fma.f64 x -3 2)) -1)) (.f64 (sqrt.f64 (+.f64 (.f64 9 (*.f64 x x)) 4)) (pow.f64 (sqrt.f64 (fma.f64 x -3 2)) -1)))
(/.f64 1 (/.f64 1 (fma.f64 x -3 2)))
(/.f64 1 (/.f64 (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4) (+.f64 8 (*.f64 -27 (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (fma.f64 x -3 2)) (pow.f64 (fma.f64 x -3 2) -1/2))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))))
(/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) (fma.f64 x -3 2))
(/.f64 (fma.f64 x -3 2) 1)
(/.f64 (+.f64 8 (.f64 -27 (pow.f64 x 3))) (+.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))) 4))
(/.f64 -1 (/.f64 -1 (fma.f64 x -3 2)))
(/.f64 (+.f64 (*.f64 3 x) -2) -1)
(/.f64 (sqrt.f64 (+.f64 (.f64 9 (.f64 x x)) 4)) (*.f64 (pow.f64 (fma.f64 x -3 2) -1/2) (sqrt.f64 (fma.f64 x -3 2))))
(/.f64 (sqrt.f64 (+.f64 8 (.f64 -27 (pow.f64 x 3)))) (.f64 (pow.f64 (fma.f64 x -3 2) -1/2) (sqrt.f64 (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -3 2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x -3 2))))
(/.f64 (+.f64 -4 (.f64 9 (.f64 x x))) (+.f64 (*.f64 3 x) -2))
(/.f64 (+.f64 (.f64 -27 (pow.f64 x 3)) -8) (+.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))) -4))
(/.f64 (-.f64 (.f64 9 (.f64 x x)) 4) (+.f64 (*.f64 3 x) -2))
(/.f64 (+.f64 64 (.f64 729 (.f64 (pow.f64 x 3) (pow.f64 x 3)))) (.f64 (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4) (+.f64 8 (.f64 -27 (pow.f64 x 3)))))
(/.f64 (+.f64 16 (.f64 (.f64 x (pow.f64 x 3)) 81)) (.f64 (+.f64 (.f64 9 (*.f64 x x)) 4) (fma.f64 x -3 2)))
(/.f64 (+.f64 512 (pow.f64 (.f64 -27 (pow.f64 x 3)) 3)) (.f64 (+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) 4) (+.f64 64 (.f64 (.f64 -27 (pow.f64 x 3)) (-.f64 (*.f64 -27 (pow.f64 x 3)) 8)))))
(/.f64 (-.f64 64 (pow.f64 (.f64 9 (.f64 x x)) 3)) (.f64 (fma.f64 x -3 2) (+.f64 16 (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 81) (.f64 36 (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 -4 (.f64 9 (.f64 x x)))) (fma.f64 x -3 2))
(/.f64 (neg.f64 (+.f64 (.f64 -27 (pow.f64 x 3)) -8)) (+.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))) 4))
(pow.f64 (/.f64 1 (fma.f64 x -3 2)) -1)
(pow.f64 (sqrt.f64 (fma.f64 x -3 2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x -3 2) 3) 1/3)
(pow.f64 (fma.f64 x -3 2) 1)
(neg.f64 (+.f64 (*.f64 3 x) -2))
(neg.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) (+.f64 (*.f64 3 x) -2)))
(neg.f64 (/.f64 (+.f64 8 (.f64 -27 (pow.f64 x 3))) (+.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))) -4)))
(sqrt.f64 (pow.f64 (fma.f64 x -3 2) 2))
(log.f64 (exp.f64 (fma.f64 x -3 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3 2))))
(cbrt.f64 (pow.f64 (fma.f64 x -3 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -3 2)))
(exp.f64 (log.f64 (fma.f64 x -3 2)))
(log1p.f64 (expm1.f64 (fma.f64 x -3 2)))
(fma.f64 x -3 2)
(fma.f64 1 (*.f64 3 x) 2)
(fma.f64 -3 x 2)
(fma.f64 (sqrt.f64 (.f64 3 x)) (sqrt.f64 (.f64 3 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) (cbrt.f64 (.f64 3 x)) 2)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
1/2
(+.f64 1/2 (*.f64 3/4 x))
(+.f64 1/2 (*.f64 x 3/4))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 3/4 x)))
(fma.f64 9/8 (.f64 x x) (+.f64 1/2 (.f64 x 3/4)))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 (.f64 27/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 3/4 x))))
(fma.f64 9/8 (.f64 x x) (fma.f64 27/16 (pow.f64 x 3) (+.f64 1/2 (.f64 x 3/4))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (/.f64 1/3 x)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/27 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/27 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))))
(-.f64 (/.f64 -2/9 (*.f64 x x)) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 8/81 (pow.f64 x 4)))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (/.f64 1/3 x)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/27 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -2/9 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/27 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))))
(-.f64 (/.f64 -2/9 (*.f64 x x)) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 8/81 (pow.f64 x 4)))))
2
(+.f64 (*.f64 -3 x) 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 x -3 2)
(+.f64 (*.f64 -3 x) 2)
(fma.f64 x -3 2)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 2 (*.f64 -3 x))
(fma.f64 x -3 2)
(+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) (fma.f64 (.f64 3 x) 2 (.f64 x -6)))
(fma.f64 3 (.f64 x (fma.f64 x -3 2)) (fma.f64 (.f64 x 3) 2 (*.f64 x -6)))
(+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) (+.f64 (fma.f64 (.f64 3 x) 2 (.f64 x -6)) (fma.f64 (.f64 3 x) 2 (.f64 x -6))))
(fma.f64 3 (.f64 x (fma.f64 x -3 2)) (.f64 2 (fma.f64 (.f64 x 3) 2 (.f64 x -6))))
(+.f64 (.f64 3 (.f64 x (fma.f64 x -3 2))) (.f64 1 (fma.f64 (.f64 3 x) 2 (*.f64 x -6))))
(fma.f64 3 (.f64 x (fma.f64 x -3 2)) (fma.f64 (.f64 x 3) 2 (*.f64 x -6)))
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(/.f64 (+.f64 512 (.f64 -19683 (pow.f64 (pow.f64 x 3) 3))) (.f64 (fma.f64 3 (.f64 x (fma.f64 x -3 2)) 4) (+.f64 64 (.f64 -27 (*.f64 (pow.f64 x 3) (fma.f64 -27 (pow.f64 x 3) -8))))))
(/.f64 (/.f64 (+.f64 512 (.f64 -19683 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 3 (.f64 x (fma.f64 x -3 2)) 4)) (+.f64 64 (.f64 -27 (.f64 (pow.f64 x 3) (fma.f64 -27 (pow.f64 x 3) -8)))))
(/.f64 (-.f64 64 (pow.f64 (.f64 9 (.f64 x x)) 3)) (.f64 (fma.f64 x -3 2) (+.f64 16 (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 81) (.f64 36 (*.f64 x x))))))
(/.f64 (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3))) (.f64 (fma.f64 x -3 2) (+.f64 (fma.f64 (.f64 x (pow.f64 x 3)) 81 (.f64 (.f64 x x) 36)) 16)))
(/.f64 (-.f64 64 (.f64 729 (pow.f64 (.f64 x x) 3))) (.f64 (fma.f64 x -3 2) (+.f64 (fma.f64 (.f64 x (pow.f64 x 3)) 81 (.f64 x (.f64 x 36))) 16)))
(/.f64 (neg.f64 (+.f64 -4 (.f64 9 (.f64 x x)))) (fma.f64 x -3 2))
(/.f64 (neg.f64 (fma.f64 9 (*.f64 x x) -4)) (fma.f64 x -3 2))
(/.f64 (+.f64 4 (.f64 -9 (.f64 x x))) (fma.f64 x -3 2))
(/.f64 (neg.f64 (+.f64 (.f64 -27 (pow.f64 x 3)) -8)) (+.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))) 4))
(/.f64 (neg.f64 (fma.f64 -27 (pow.f64 x 3) -8)) (fma.f64 3 (*.f64 x (fma.f64 x -3 2)) 4))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (fma.f64 3 (.f64 x (fma.f64 x -3 2)) 4))
(pow.f64 (/.f64 1 (fma.f64 x -3 2)) -1)
(fma.f64 x -3 2)
(pow.f64 (sqrt.f64 (fma.f64 x -3 2)) 2)
(fma.f64 x -3 2)
(pow.f64 (cbrt.f64 (fma.f64 x -3 2)) 3)
(fma.f64 x -3 2)
(pow.f64 (pow.f64 (fma.f64 x -3 2) 3) 1/3)
(fma.f64 x -3 2)
(pow.f64 (fma.f64 x -3 2) 1)
(fma.f64 x -3 2)
(neg.f64 (+.f64 (*.f64 3 x) -2))
(fma.f64 x -3 2)
(neg.f64 (/.f64 (+.f64 (.f64 9 (.f64 x x)) 4) (+.f64 (*.f64 3 x) -2)))
(/.f64 (neg.f64 (fma.f64 9 (*.f64 x x) 4)) (fma.f64 3 x -2))
(/.f64 (+.f64 -4 (.f64 -9 (.f64 x x))) (fma.f64 3 x -2))
(neg.f64 (/.f64 (+.f64 8 (.f64 -27 (pow.f64 x 3))) (+.f64 (.f64 3 (*.f64 x (fma.f64 x -3 2))) -4)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) -27) 8)) (fma.f64 3 (.f64 x (fma.f64 x -3 2)) -4))
(/.f64 (+.f64 -8 (.f64 (pow.f64 x 3) 27)) (fma.f64 3 (.f64 x (fma.f64 x -3 2)) -4))
(sqrt.f64 (pow.f64 (fma.f64 x -3 2) 2))
(log.f64 (exp.f64 (fma.f64 x -3 2)))
(fma.f64 x -3 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3 2))))
(fma.f64 x -3 2)
(cbrt.f64 (pow.f64 (fma.f64 x -3 2) 3))
(fma.f64 x -3 2)
(expm1.f64 (log1p.f64 (fma.f64 x -3 2)))
(fma.f64 x -3 2)
(exp.f64 (log.f64 (fma.f64 x -3 2)))
(fma.f64 x -3 2)
(log1p.f64 (expm1.f64 (fma.f64 x -3 2)))
(fma.f64 x -3 2)
(fma.f64 x -3 2)
(fma.f64 1 (*.f64 3 x) 2)
(fma.f64 1 (*.f64 x 3) 2)
(+.f64 2 (*.f64 x 3))
(fma.f64 -3 x 2)
(fma.f64 x -3 2)
(fma.f64 (sqrt.f64 (.f64 3 x)) (sqrt.f64 (.f64 3 x)) 2)
(fma.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 (.f64 x 3)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) (cbrt.f64 (.f64 3 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (.f64 x 3)) 2)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 6 (*.f64 9 x))
✓	0.1b	(.f64 (-.f64 36 (.f64 81 (*.f64 x x))) x)
✓	0.2b	(.f64 81 (.f64 x x))
✓	6.9b	(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))

Compiler

Compiled 53 to 33 computations (37.7% saved)

series3.0ms (0%)

Counts

4 → 39

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
0.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
0.0ms	x	@	inf	(.f64 81 (.f64 x x))
0.0ms	x	@	inf	(.f64 (-.f64 36 (.f64 81 (*.f64 x x))) x)

rewrite91.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`associate-/r*`
1706×	`associate-/l*`
770×	`associate-/r/`
304×	`add-sqr-sqrt`
294×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	315	66
2	4197	66

Stop Event

1×	node limit

Counts

4 → 190

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
(.f64 81 (.f64 x x))
(.f64 (-.f64 36 (.f64 81 (*.f64 x x))) x)
(+.f64 6 (*.f64 9 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 -9 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 36 (/.f64 x (fma.f64 x 9 6))) (.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x 9 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 6 (.f64 -9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 36 (.f64 (.f64 x x) -81)) (/.f64 x (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (/.f64 1 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 6 (.f64 -9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

692×	`times-frac`
688×	`associate-r`
652×	`associate-/l*`
578×	`associate-l`
516×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	477	7763
1	1275	6601
2	6832	6601

Stop Event

1×	node limit

Counts

229 → 280

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 36 x)
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
6
(*.f64 9 x)
(*.f64 9 x)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 -9 x))))) 1)
(-.f64 (.f64 36 (/.f64 x (fma.f64 x 9 6))) (.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x 9 6)) x))
(.f64 x (+.f64 6 (.f64 -9 x)))
(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))
(.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (/.f64 x (fma.f64 x 9 6)))
(.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (/.f64 1 (fma.f64 x 9 6)))
(.f64 (.f64 x (+.f64 6 (*.f64 -9 x))) 1)
(.f64 1 (.f64 x (+.f64 6 (*.f64 -9 x))))
(.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (sqrt.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))))
(.f64 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) (.f64 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) (/.f64 1 (fma.f64 x 9 6))))
(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 2) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 2) (.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) (/.f64 1 (fma.f64 x 9 6))))
(.f64 (+.f64 6 (.f64 -9 x)) x)
(.f64 (/.f64 1 (fma.f64 x 9 6)) (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))))
(.f64 (.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (neg.f64 x)) (/.f64 -1 (fma.f64 x 9 6)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 x (fma.f64 x 9 6)) (+.f64 36 (.f64 (*.f64 x x) -81)))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 x (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (+.f64 36 (.f64 (.f64 x x) -81)))) (+.f64 6 (.f64 -9 x)))
(.f64 (/.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (+.f64 216 (.f64 729 (pow.f64 x 3)))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))
(.f64 (/.f64 1 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 54 x)))))
(.f64 (/.f64 -1 (fma.f64 x 9 6)) (.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (neg.f64 x)))
(.f64 (/.f64 1 (+.f64 36 (.f64 (.f64 x x) -81))) (.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (+.f64 6 (.f64 -9 x))))
(.f64 (/.f64 x 1) (+.f64 6 (.f64 -9 x)))
(.f64 (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (sqrt.f64 (fma.f64 x 9 6))) (/.f64 x (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 1) (/.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (sqrt.f64 (fma.f64 x 9 6))) (sqrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81)))) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81)))) (fma.f64 x 9 6)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 2) (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (cbrt.f64 (sqrt.f64 (fma.f64 x 9 6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))
(.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (+.f64 36 (.f64 (.f64 x x) -81))) (.f64 x (+.f64 6 (*.f64 -9 x))))
(.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (+.f64 216 (.f64 729 (pow.f64 x 3)))) (.f64 x (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) (/.f64 (fma.f64 x 9 6) x)) (sqrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81))))
(.f64 (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (/.f64 (fma.f64 x 9 6) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 2) (fma.f64 x 9 6)) (cbrt.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81)))))
(.f64 (/.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (neg.f64 (+.f64 36 (.f64 (.f64 x x) -81)))) (neg.f64 (+.f64 6 (*.f64 -9 x))))
(.f64 (/.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (neg.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))))) (neg.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))))
(.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (-.f64 -6 (.f64 x 9))) (neg.f64 x))
(.f64 (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (/.f64 (fma.f64 x 9 6) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (-.f64 (.f64 81 (.f64 x x)) 36)) (-.f64 (*.f64 x 9) 6))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 9 6) (pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 2))) (cbrt.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) 2) (/.f64 (fma.f64 x 9 6) x)) (cbrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81))))
(.f64 (/.f64 (.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (neg.f64 x)) (neg.f64 (+.f64 36 (.f64 (.f64 x x) -81)))) (+.f64 6 (*.f64 -9 x)))
(.f64 (/.f64 (.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (neg.f64 x)) (neg.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))
(.f64 (/.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) x)) (sqrt.f64 (+.f64 36 (.f64 (.f64 x x) -81)))) (sqrt.f64 (+.f64 6 (.f64 -9 x))))
(.f64 (/.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) x)) (sqrt.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))))) (sqrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 54 x)))))
(.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (+.f64 36 (.f64 (.f64 x x) -81)))) (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) -81)))) (cbrt.f64 (+.f64 6 (.f64 -9 x))))
(.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (+.f64 36 (.f64 (.f64 x x) -81)))) (cbrt.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))))) (cbrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 54 x)))))
(pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 1)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 3)
(pow.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 3) 1/3)
(pow.f64 (/.f64 1 (.f64 x (+.f64 6 (.f64 -9 x)))) -1)
(neg.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (/.f64 (-.f64 -6 (*.f64 x 9)) x)))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 2))
(log.f64 (exp.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 6 (.f64 -9 x))))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81))) 3) (pow.f64 (fma.f64 x 9 6) 3)))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))
(exp.f64 (log.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 81 (.f64 x x)))) 1)
(pow.f64 (.f64 81 (.f64 x x)) 1)
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 6561))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 81))
(log.f64 (+.f64 1 (expm1.f64 (.f64 81 (.f64 x x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441))
(expm1.f64 (log1p.f64 (.f64 81 (.f64 x x))))
(exp.f64 (log.f64 (.f64 81 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 81 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 81 (.f64 x x))))
(+.f64 (.f64 x 36) (.f64 x (.f64 (.f64 x x) -81)))
(+.f64 (.f64 x (.f64 (.f64 x x) -81)) (.f64 x 36))
(+.f64 (.f64 36 x) (.f64 (.f64 (.f64 x x) -81) x))
(+.f64 (.f64 (.f64 (.f64 x x) -81) x) (.f64 36 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81))))) 1)
(/.f64 x (/.f64 1 (+.f64 36 (.f64 (.f64 x x) -81))))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (/.f64 1 x))
(/.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81))) 1)
(/.f64 1 (/.f64 (/.f64 1 x) (+.f64 36 (.f64 (.f64 x x) -81))))
(/.f64 (sqrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81))) x)))
(/.f64 (sqrt.f64 x) (/.f64 1 (.f64 (sqrt.f64 x) (+.f64 36 (.f64 (*.f64 x x) -81)))))
(/.f64 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) 2) (/.f64 1 (.f64 (cbrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81))) x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (.f64 (cbrt.f64 x) (+.f64 36 (.f64 (*.f64 x x) -81)))))
(/.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 2) (/.f64 1 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))))))
(/.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) (/.f64 (+.f64 36 (.f64 81 (*.f64 x x))) x))
(/.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) (/.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (*.f64 x x)))) x))
(/.f64 (.f64 x (sqrt.f64 (+.f64 36 (.f64 (.f64 x x) -81)))) (/.f64 1 (sqrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81)))))
(/.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) 2)) (/.f64 1 (cbrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81)))))
(/.f64 (.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 x (-.f64 1296 (.f64 (pow.f64 x 4) 6561))) (+.f64 36 (.f64 81 (.f64 x x))))
(/.f64 (.f64 x (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))) (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x)))))
(/.f64 (.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) x) (+.f64 36 (.f64 81 (.f64 x x))))
(/.f64 (.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) x) (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x)))))
(/.f64 (/.f64 (.f64 x (-.f64 1296 (.f64 (pow.f64 x 4) 6561))) 1) (+.f64 36 (.f64 81 (.f64 x x))))
(/.f64 (/.f64 (.f64 x (-.f64 1296 (.f64 (pow.f64 x 4) 6561))) (sqrt.f64 (+.f64 36 (.f64 81 (.f64 x x))))) (sqrt.f64 (+.f64 36 (.f64 81 (.f64 x x)))))
(/.f64 (/.f64 (.f64 x (-.f64 1296 (.f64 (pow.f64 x 4) 6561))) (.f64 (cbrt.f64 (+.f64 36 (.f64 81 (.f64 x x)))) (cbrt.f64 (+.f64 36 (.f64 81 (.f64 x x)))))) (cbrt.f64 (+.f64 36 (.f64 81 (*.f64 x x)))))
(/.f64 (/.f64 (.f64 x (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))) 1) (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x)))))
(/.f64 (/.f64 (.f64 x (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))) (sqrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x)))))) (sqrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (*.f64 x x))))))
(/.f64 (/.f64 (.f64 x (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))) (.f64 (cbrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x))))) (cbrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x))))))) (cbrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (*.f64 x x))))))
(/.f64 (/.f64 (.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) x) 1) (+.f64 36 (.f64 81 (.f64 x x))))
(/.f64 (/.f64 (.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) x) (sqrt.f64 (+.f64 36 (.f64 81 (.f64 x x))))) (sqrt.f64 (+.f64 36 (.f64 81 (.f64 x x)))))
(/.f64 (/.f64 (.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) x) (.f64 (cbrt.f64 (+.f64 36 (.f64 81 (.f64 x x)))) (cbrt.f64 (+.f64 36 (.f64 81 (.f64 x x)))))) (cbrt.f64 (+.f64 36 (.f64 81 (*.f64 x x)))))
(/.f64 (/.f64 (.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) x) 1) (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x)))))
(/.f64 (/.f64 (.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) x) (sqrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x)))))) (sqrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (*.f64 x x))))))
(/.f64 (/.f64 (.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) x) (.f64 (cbrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x))))) (cbrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x))))))) (cbrt.f64 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (*.f64 x x))))))
(pow.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81))) 1)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81)))) 3)
(pow.f64 (pow.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 36 (.f64 (.f64 x x) -81))) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81))))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81)))))
(exp.f64 (log.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 36 (.f64 (*.f64 x x) -81)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) -5)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 6))) 1)
(-.f64 (/.f64 36 (+.f64 6 (.f64 -9 x))) (/.f64 81 (/.f64 (+.f64 6 (.f64 -9 x)) (*.f64 x x))))
(-.f64 (+.f64 6 (exp.f64 (log1p.f64 (*.f64 x 9)))) 1)
(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (/.f64 1 (+.f64 6 (.f64 -9 x))))
(*.f64 (fma.f64 x 9 6) 1)
(*.f64 1 (fma.f64 x 9 6))
(*.f64 (sqrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 x 9 6)))
(*.f64 (cbrt.f64 (fma.f64 x 9 6)) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (cbrt.f64 (fma.f64 x 9 6)))
(.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 54 x)))))
(.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) (+.f64 36 (.f64 (.f64 x x) -81)))
(.f64 (/.f64 1 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))) (+.f64 216 (*.f64 729 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (+.f64 36 (.f64 (*.f64 x x) -81))) (fma.f64 x 9 6))
(.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (-.f64 216 (.f64 729 (pow.f64 x 3)))) (+.f64 (+.f64 36 (.f64 81 (.f64 x x))) (*.f64 54 x)))
(.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (-.f64 1296 (.f64 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)) (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))) (+.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 54 x)))
(.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (+.f64 46656 (pow.f64 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)) 3))) (-.f64 (+.f64 1296 (.f64 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)) (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))) (.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (+.f64 6 (*.f64 -9 x)))
(/.f64 (fma.f64 x 9 6) 1)
(/.f64 1 (/.f64 1 (fma.f64 x 9 6)))
(/.f64 (sqrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) (/.f64 (+.f64 6 (.f64 -9 x)) (sqrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81)))))
(/.f64 (sqrt.f64 (fma.f64 x 9 6)) (/.f64 1 (sqrt.f64 (fma.f64 x 9 6))))
(/.f64 (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) (/.f64 (+.f64 6 (.f64 -9 x)) (pow.f64 (cbrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) 2) (/.f64 (+.f64 6 (.f64 -9 x)) (cbrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81)))))
(/.f64 (cbrt.f64 (fma.f64 x 9 6)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 9 6))))
(/.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) (/.f64 (+.f64 6 (.f64 -9 x)) (/.f64 1 (+.f64 36 (.f64 81 (.f64 x x))))))
(/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))
(/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (/.f64 1 (/.f64 1 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))))
(/.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) (/.f64 (+.f64 6 (.f64 -9 x)) (/.f64 1 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x)))))))
(/.f64 (sqrt.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (/.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))) (sqrt.f64 (+.f64 216 (*.f64 729 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (cbrt.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))))) (/.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))) (cbrt.f64 (+.f64 216 (*.f64 729 (pow.f64 x 3))))))
(/.f64 (neg.f64 (+.f64 36 (.f64 (.f64 x x) -81))) (neg.f64 (+.f64 6 (*.f64 -9 x))))
(/.f64 (neg.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))))
(/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (*.f64 x 9) 6))
(/.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (sqrt.f64 (+.f64 6 (.f64 -9 x)))) (sqrt.f64 (+.f64 6 (.f64 -9 x))))
(/.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 (cbrt.f64 (+.f64 6 (.f64 -9 x))) (cbrt.f64 (+.f64 6 (.f64 -9 x))))) (cbrt.f64 (+.f64 6 (.f64 -9 x))))
(/.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) 1) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))
(/.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (sqrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))) (sqrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 54 x)))))
(/.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))) (cbrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))))) (cbrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 54 x)))))
(pow.f64 (fma.f64 x 9 6) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 9 6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 3)
(pow.f64 (pow.f64 (fma.f64 x 9 6) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 9 6) 2))
(log.f64 (exp.f64 (fma.f64 x 9 6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 6))))
(cbrt.f64 (pow.f64 (fma.f64 x 9 6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 9 6)))
(exp.f64 (log.f64 (fma.f64 x 9 6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(fma.f64 9 x 6)
(fma.f64 1 (*.f64 x 9) 6)
(fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) 6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) 6)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(*.f64 36 x)
(*.f64 x 36)
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 x (.f64 x -81) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 x (.f64 x -81) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 x (.f64 x -81) 36))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 x (.f64 x -81) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 x (.f64 x -81) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 x (.f64 x -81) 36))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 x (.f64 x -81) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 x (.f64 x -81) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 x (.f64 x -81) 36))
6
(*.f64 9 x)
(*.f64 x 9)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 -9 x))))) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(-.f64 (.f64 36 (/.f64 x (fma.f64 x 9 6))) (.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x 9 6)) x))
(-.f64 (/.f64 (.f64 x 36) (fma.f64 x 9 6)) (.f64 x (/.f64 81 (/.f64 (fma.f64 x 9 6) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 x 36) (fma.f64 x 9 6)) (/.f64 (.f64 81 (pow.f64 x 3)) (fma.f64 x 9 6)))
(.f64 x (+.f64 6 (.f64 -9 x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (/.f64 x (fma.f64 x 9 6)))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (/.f64 1 (fma.f64 x 9 6)))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (.f64 x (+.f64 6 (*.f64 -9 x))) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 1 (.f64 x (+.f64 6 (*.f64 -9 x))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (sqrt.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) (.f64 (sqrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) (/.f64 1 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))) 2))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 2) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) 2) (.f64 (cbrt.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81)))) (/.f64 1 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (+.f64 6 (.f64 -9 x)) x)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (neg.f64 x)) (/.f64 -1 (fma.f64 x 9 6)))
(.f64 (neg.f64 (fma.f64 -81 (pow.f64 x 3) (.f64 x 36))) (/.f64 -1 (fma.f64 x 9 6)))
(.f64 (neg.f64 x) (/.f64 (fma.f64 81 (.f64 x x) -36) (fma.f64 x 9 6)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) x)))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (/.f64 x (fma.f64 x 9 6)) (+.f64 36 (.f64 (*.f64 x x) -81)))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (/.f64 x (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (+.f64 36 (.f64 (.f64 x x) -81)))) (+.f64 6 (.f64 -9 x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (/.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (+.f64 216 (.f64 729 (pow.f64 x 3)))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))
(.f64 (/.f64 (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)) (+.f64 216 (.f64 (pow.f64 x 3) 729))) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(.f64 x (.f64 (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))) (/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 (/.f64 1 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 54 x)))))
(.f64 (/.f64 (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)) (+.f64 216 (.f64 (pow.f64 x 3) 729))) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(.f64 x (.f64 (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))) (/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 (/.f64 -1 (fma.f64 x 9 6)) (.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (neg.f64 x)))
(.f64 (neg.f64 (fma.f64 -81 (pow.f64 x 3) (.f64 x 36))) (/.f64 -1 (fma.f64 x 9 6)))
(.f64 (neg.f64 x) (/.f64 (fma.f64 81 (.f64 x x) -36) (fma.f64 x 9 6)))
(.f64 (/.f64 1 (+.f64 36 (.f64 (.f64 x x) -81))) (.f64 (.f64 x (+.f64 36 (.f64 (.f64 x x) -81))) (+.f64 6 (.f64 -9 x))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (/.f64 x 1) (+.f64 6 (.f64 -9 x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (sqrt.f64 (fma.f64 x 9 6))) (/.f64 x (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (fma.f64 -81 (pow.f64 x 3) (.f64 x 36)))
(/.f64 (.f64 x (fma.f64 x (.f64 x -81) 36)) (fma.f64 x 9 6))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (cbrt.f64 (fma.f64 x 9 6))))
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(.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (/.f64 1 (+.f64 6 (.f64 x -9))))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(/.f64 (fma.f64 x 9 6) 1)
(fma.f64 x 9 6)
(/.f64 1 (/.f64 1 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(/.f64 (sqrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) (/.f64 (+.f64 6 (.f64 -9 x)) (sqrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81)))))
(.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (/.f64 1 (+.f64 6 (.f64 x -9))))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(/.f64 (sqrt.f64 (fma.f64 x 9 6)) (/.f64 1 (sqrt.f64 (fma.f64 x 9 6))))
(fma.f64 x 9 6)
(/.f64 (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) (/.f64 (+.f64 6 (.f64 -9 x)) (pow.f64 (cbrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81))) 2)))
(.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (/.f64 1 (+.f64 6 (.f64 x -9))))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) 2) (/.f64 (+.f64 6 (.f64 -9 x)) (cbrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81)))))
(.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (/.f64 1 (+.f64 6 (.f64 x -9))))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(/.f64 (cbrt.f64 (fma.f64 x 9 6)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))
(fma.f64 x 9 6)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 9 6))))
(fma.f64 x 9 6)
(/.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) (/.f64 (+.f64 6 (.f64 -9 x)) (/.f64 1 (+.f64 36 (.f64 81 (.f64 x x))))))
(/.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) (.f64 (/.f64 (+.f64 6 (.f64 x -9)) 1) (+.f64 36 (.f64 81 (*.f64 x x)))))
(/.f64 (+.f64 1296 (.f64 (pow.f64 x 4) -6561)) (.f64 (fma.f64 x -9 6) (fma.f64 81 (*.f64 x x) 36)))
(/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))))
(/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (/.f64 1 (/.f64 1 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))))
(/.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) (/.f64 (+.f64 6 (.f64 -9 x)) (/.f64 1 (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 2916 (.f64 x x)))))))
(.f64 (/.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) (+.f64 6 (.f64 x -9))) (/.f64 1 (+.f64 1296 (fma.f64 (pow.f64 x 4) 6561 (.f64 (.f64 x x) 2916)))))
(/.f64 (+.f64 46656 (.f64 (pow.f64 x 6) -531441)) (.f64 (fma.f64 x -9 6) (+.f64 1296 (fma.f64 (.f64 x x) 2916 (.f64 (pow.f64 x 4) 6561)))))
(/.f64 (sqrt.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (/.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))) (sqrt.f64 (+.f64 216 (*.f64 729 (pow.f64 x 3))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729))) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))) (sqrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 729 216)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 729 216))) (+.f64 36 (.f64 x (+.f64 (*.f64 x 81) -54))))
(/.f64 (.f64 (cbrt.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (cbrt.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))))) (/.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))) (cbrt.f64 (+.f64 216 (*.f64 729 (pow.f64 x 3))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729))) (cbrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))) (cbrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729))))
(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 729 216)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 729 216))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 729 216))) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))))
(/.f64 (neg.f64 (+.f64 36 (.f64 (.f64 x x) -81))) (neg.f64 (+.f64 6 (*.f64 -9 x))))
(/.f64 (+.f64 -36 (neg.f64 (.f64 -81 (.f64 x x)))) (+.f64 -6 (neg.f64 (*.f64 x -9))))
(/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 x 9 -6))
(/.f64 (neg.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))))
(/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (*.f64 x 9) 6))
(/.f64 (+.f64 -36 (neg.f64 (.f64 -81 (.f64 x x)))) (+.f64 -6 (neg.f64 (*.f64 x -9))))
(/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 x 9 -6))
(/.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (sqrt.f64 (+.f64 6 (.f64 -9 x)))) (sqrt.f64 (+.f64 6 (.f64 -9 x))))
(.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (/.f64 1 (+.f64 6 (.f64 x -9))))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(/.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 (cbrt.f64 (+.f64 6 (.f64 -9 x))) (cbrt.f64 (+.f64 6 (.f64 -9 x))))) (cbrt.f64 (+.f64 6 (.f64 -9 x))))
(.f64 (+.f64 36 (.f64 -81 (.f64 x x))) (/.f64 1 (+.f64 6 (.f64 x -9))))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(/.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) 1) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))))
(/.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (sqrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x))))) (sqrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 54 x)))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))))
(/.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))) (cbrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (.f64 54 x)))))) (cbrt.f64 (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 54 x)))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))))
(pow.f64 (fma.f64 x 9 6) 1)
(fma.f64 x 9 6)
(pow.f64 (sqrt.f64 (fma.f64 x 9 6)) 2)
(fma.f64 x 9 6)
(pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 3)
(fma.f64 x 9 6)
(pow.f64 (pow.f64 (fma.f64 x 9 6) 3) 1/3)
(fma.f64 x 9 6)
(sqrt.f64 (pow.f64 (fma.f64 x 9 6) 2))
(fabs.f64 (fma.f64 x 9 6))
(log.f64 (exp.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 6))))
(fma.f64 x 9 6)
(cbrt.f64 (pow.f64 (fma.f64 x 9 6) 3))
(fma.f64 x 9 6)
(expm1.f64 (log1p.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(exp.f64 (log.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 6)) 1))
(fma.f64 x 9 6)
(log1p.f64 (expm1.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(fma.f64 x 9 6)
(fma.f64 9 x 6)
(fma.f64 x 9 6)
(fma.f64 1 (*.f64 x 9) 6)
(fma.f64 x 9 6)
(fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) 6)
(+.f64 6 (.f64 9 (.f64 (sqrt.f64 x) (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) 6)
(fma.f64 x 9 6)

eval703.0ms (8.9%)

Compiler: Compiled 18620 to 14227 computations (23.6% saved)

prune304.0ms (3.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	897	4	901
Fresh	3	4	7
Picked	1	0	1
Done	0	5	5
Total	901	13	914

Error

Counts

914 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
	7.6b	(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (+.f64 36 (.f64 (.f64 x x) -81)))) (+.f64 6 (*.f64 9 x)))
	22.5b	(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))
▶	0.2b	(/.f64 (.f64 x 3) (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (.f64 x x)) 4)))
✓	0.3b	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 x -3))))
▶	0.4b	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x)))))
▶	0.2b	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
▶	0.4b	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))
✓	41.0b	(.f64 (.f64 -9 x) x)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	22.7b	(*.f64 x 6)
▶	41.0b	(.f64 -9 (.f64 x x))
	0.3b	(neg.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (/.f64 (-.f64 -6 (*.f64 x 9)) x)))

Compiler

Compiled 267 to 203 computations (24% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
✓	0.2b	(.f64 (.f64 x x) -9)

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
0.0ms	x	@	0	(.f64 (.f64 x x) -9)
0.0ms	x	@	inf	(.f64 (.f64 x x) -9)

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`add-sqr-sqrt`
1944×	`*-un-lft-identity`
1834×	`add-cube-cbrt`
1820×	`add-cbrt-cube`
188×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	196	32
2	2495	32

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(.f64 (.f64 x x) -9)
(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -729 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -729 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -9))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 x -9) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 x -9) 6))) (/.f64 (*.f64 (*.f64 x x) 36) (*.f64 x (-.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 x -9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 6 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 x -9) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 (*.f64 x -9) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 36)) (/.f64 1 (*.f64 x (-.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -729 (pow.f64 (*.f64 x x) 3)) (*.f64 (pow.f64 x 3) 216)) (/.f64 1 (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x 6) (-.f64 (*.f64 x 6) (*.f64 x (*.f64 x -9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 x -9) 6)) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x 6) (-.f64 (*.f64 x 6) (*.f64 x (*.f64 x -9))))) (+.f64 (*.f64 -729 (pow.f64 (*.f64 x x) 3)) (*.f64 (pow.f64 x 3) 216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 36)) (*.f64 x (-.f64 (*.f64 x -9) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -729 (pow.f64 (*.f64 x x) 3)) (*.f64 (pow.f64 x 3) 216)) (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x 6) (-.f64 (*.f64 x 6) (*.f64 x (*.f64 x -9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -729 (pow.f64 (*.f64 x x) 3)) (*.f64 (pow.f64 x 3) 216)) (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (*.f64 (*.f64 x -9) (*.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 81 (pow.f64 x 4))) (-.f64 (*.f64 x 6) (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 36))) (neg.f64 (*.f64 x (-.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -729 (pow.f64 (*.f64 x x) 3)) (*.f64 (pow.f64 x 3) 216))) (neg.f64 (+.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x 6) (-.f64 (*.f64 x 6) (*.f64 x (*.f64 x -9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (*.f64 x -9) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -9) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -9) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x -9) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x -9) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -9) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -9 (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 (*.f64 x x) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -9)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 6) (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)) (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -9)) (*.f64 x (sqrt.f64 -9)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)) (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x -9))) (*.f64 x 6))))))

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-+r+`
1226×	`associate-+l+`
536×	`*-commutative`
528×	`distribute-lft-in`
512×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1765
1	353	1669
2	1403	1647
3	5484	1637

Stop Event

1×	node limit

Counts

79 → 72

Calls

Call 1

Inputs
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -9)))) 1)
(pow.f64 (.f64 x (.f64 x -9)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -9)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 3)
(pow.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -9)))))
(cbrt.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -9))))
(exp.f64 (log.f64 (.f64 x (.f64 x -9))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -9))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -9))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 (.f64 x -9) 6)))) 1)
(-.f64 (/.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x -9) 6))) (/.f64 (.f64 (.f64 x x) 36) (.f64 x (-.f64 (*.f64 x -9) 6))))
(.f64 x (+.f64 (.f64 x -9) 6))
(.f64 x (+.f64 6 (.f64 x -9)))
(.f64 (.f64 x (+.f64 (*.f64 x -9) 6)) 1)
(.f64 1 (.f64 x (+.f64 (*.f64 x -9) 6)))
(.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) (sqrt.f64 (.f64 x (+.f64 (*.f64 x -9) 6))))
(.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 (*.f64 x -9) 6))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) 2) (cbrt.f64 (.f64 x (+.f64 (*.f64 x -9) 6))))
(.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (/.f64 1 (.f64 x (-.f64 (.f64 x -9) 6))))
(.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216)) (/.f64 1 (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x -9)))))))
(/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x -9) 6)) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (*.f64 x x) 36))))
(/.f64 1 (/.f64 (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x -9))))) (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (*.f64 (pow.f64 x 3) 216))))
(/.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (.f64 x (-.f64 (*.f64 x -9) 6)))
(/.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216)) (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (*.f64 x -9))))))
(/.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216)) (+.f64 (.f64 (.f64 x x) 36) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (.f64 (.f64 x -9) (.f64 x 6))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (pow.f64 x 4))) (-.f64 (.f64 x 6) (.f64 x (.f64 x -9))))
(/.f64 (neg.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) 36))) (neg.f64 (.f64 x (-.f64 (*.f64 x -9) 6))))
(/.f64 (neg.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216))) (neg.f64 (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))))))
(pow.f64 (.f64 x (+.f64 (.f64 x -9) 6)) 1)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) 2)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) 3)
(pow.f64 (pow.f64 (.f64 x (+.f64 (.f64 x -9) 6)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (+.f64 (.f64 x -9) 6)) 2))
(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x -9) 6))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 (.f64 x -9) 6)))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 (.f64 x -9) 6)) 3))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 (.f64 x -9) 6))))
(exp.f64 (log.f64 (.f64 x (+.f64 (.f64 x -9) 6))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 (*.f64 x -9) 6))) 1))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 (.f64 x -9) 6))))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(fma.f64 x (.f64 x -9) (.f64 x 6))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(fma.f64 1 (.f64 x (.f64 x -9)) (*.f64 x 6))
(fma.f64 1 (.f64 x 6) (.f64 x (*.f64 x -9)))
(fma.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (.f64 x 6)) (.f64 x (.f64 x -9)))
(fma.f64 (.f64 x (sqrt.f64 -9)) (.f64 x (sqrt.f64 -9)) (*.f64 x 6))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (.f64 x 6)) (.f64 x (.f64 x -9)))
(fma.f64 (cbrt.f64 (.f64 81 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -9))) (.f64 x 6))

Outputs
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -9)))) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -9)) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -9)) 2)
(.f64 -9 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 3)
(.f64 -9 (.f64 x x))
(pow.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 -729 (pow.f64 x 6)))
(sqrt.f64 (*.f64 81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))
(.f64 -9 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -9)))))
(.f64 -9 (.f64 x x))
(cbrt.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 -729 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -9))))
(.f64 -9 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x -9))))
(.f64 -9 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -9))) 1))
(.f64 -9 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -9))))
(.f64 -9 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 (.f64 x -9) 6)))) 1)
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(-.f64 (/.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x -9) 6))) (/.f64 (.f64 (.f64 x x) 36) (.f64 x (-.f64 (*.f64 x -9) 6))))
(/.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x -9 -6)))
(/.f64 (fma.f64 81 (pow.f64 x 4) (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 -9 x -6)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -36)) (fma.f64 -9 x -6))
(.f64 x (+.f64 (.f64 x -9) 6))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (.f64 x (+.f64 (*.f64 x -9) 6)) 1)
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 1 (.f64 x (+.f64 (*.f64 x -9) 6)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) (sqrt.f64 (.f64 x (+.f64 (*.f64 x -9) 6))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 (*.f64 x -9) 6))) 2))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) 2) (cbrt.f64 (.f64 x (+.f64 (*.f64 x -9) 6))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (/.f64 1 (.f64 x (-.f64 (.f64 x -9) 6))))
(/.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x -9 -6)))
(/.f64 (fma.f64 81 (pow.f64 x 4) (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 -9 x -6)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -36)) (fma.f64 -9 x -6))
(.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216)) (/.f64 1 (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x -9)))))))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) 216)) 1) (fma.f64 81 (pow.f64 x 4) (.f64 x (.f64 6 (.f64 x (-.f64 6 (*.f64 -9 x)))))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (fma.f64 x (.f64 6 (.f64 x (-.f64 6 (.f64 -9 x)))) (*.f64 81 (pow.f64 x 4))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) (-.f64 (*.f64 x -54) 36))))
(/.f64 (fma.f64 (pow.f64 x 3) -216 (.f64 (pow.f64 x 6) 729)) (fma.f64 (.f64 x (fma.f64 -9 x -6)) (.f64 x 6) (.f64 (pow.f64 x 4) -81)))
(/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x -9) 6)) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (*.f64 x x) 36))))
(/.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x -9 -6)))
(/.f64 (fma.f64 81 (pow.f64 x 4) (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 -9 x -6)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -36)) (fma.f64 -9 x -6))
(/.f64 1 (/.f64 (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x -9))))) (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (*.f64 (pow.f64 x 3) 216))))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) 216)) 1) (fma.f64 81 (pow.f64 x 4) (.f64 x (.f64 6 (.f64 x (-.f64 6 (*.f64 -9 x)))))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (fma.f64 x (.f64 6 (.f64 x (-.f64 6 (.f64 -9 x)))) (*.f64 81 (pow.f64 x 4))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) (-.f64 (*.f64 x -54) 36))))
(/.f64 (fma.f64 (pow.f64 x 3) -216 (.f64 (pow.f64 x 6) 729)) (fma.f64 (.f64 x (fma.f64 -9 x -6)) (.f64 x 6) (.f64 (pow.f64 x 4) -81)))
(/.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (.f64 x (-.f64 (*.f64 x -9) 6)))
(/.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x -9 -6)))
(/.f64 (fma.f64 81 (pow.f64 x 4) (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 -9 x -6)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -36)) (fma.f64 -9 x -6))
(/.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216)) (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (*.f64 x -9))))))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) 216)) 1) (fma.f64 81 (pow.f64 x 4) (.f64 x (.f64 6 (.f64 x (-.f64 6 (*.f64 -9 x)))))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (fma.f64 x (.f64 6 (.f64 x (-.f64 6 (.f64 -9 x)))) (*.f64 81 (pow.f64 x 4))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) (-.f64 (*.f64 x -54) 36))))
(/.f64 (fma.f64 (pow.f64 x 3) -216 (.f64 (pow.f64 x 6) 729)) (fma.f64 (.f64 x (fma.f64 -9 x -6)) (.f64 x 6) (.f64 (pow.f64 x 4) -81)))
(/.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216)) (+.f64 (.f64 (.f64 x x) 36) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (.f64 (.f64 x -9) (.f64 x 6))))))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) 216)) 1) (fma.f64 81 (pow.f64 x 4) (.f64 x (.f64 6 (.f64 x (-.f64 6 (*.f64 -9 x)))))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (fma.f64 x (.f64 6 (.f64 x (-.f64 6 (.f64 -9 x)))) (*.f64 81 (pow.f64 x 4))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) (-.f64 (*.f64 x -54) 36))))
(/.f64 (fma.f64 (pow.f64 x 3) -216 (.f64 (pow.f64 x 6) 729)) (fma.f64 (.f64 x (fma.f64 -9 x -6)) (.f64 x 6) (.f64 (pow.f64 x 4) -81)))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (pow.f64 x 4))) (-.f64 (.f64 x 6) (.f64 x (.f64 x -9))))
(/.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x -9 -6)))
(/.f64 (fma.f64 81 (pow.f64 x 4) (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 -9 x -6)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -36)) (fma.f64 -9 x -6))
(/.f64 (neg.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) 36))) (neg.f64 (.f64 x (-.f64 (*.f64 x -9) 6))))
(/.f64 (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x -9 -6)))
(/.f64 (fma.f64 81 (pow.f64 x 4) (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 -9 x -6)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -36)) (fma.f64 -9 x -6))
(/.f64 (neg.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216))) (neg.f64 (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))))))
(/.f64 (.f64 (fma.f64 -729 (pow.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) 216)) 1) (fma.f64 81 (pow.f64 x 4) (.f64 x (.f64 6 (.f64 x (-.f64 6 (*.f64 -9 x)))))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (fma.f64 x (.f64 6 (.f64 x (-.f64 6 (.f64 -9 x)))) (*.f64 81 (pow.f64 x 4))))
(/.f64 (fma.f64 -729 (pow.f64 x 6) (.f64 (pow.f64 x 3) 216)) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x x) (-.f64 (*.f64 x -54) 36))))
(/.f64 (fma.f64 (pow.f64 x 3) -216 (.f64 (pow.f64 x 6) 729)) (fma.f64 (.f64 x (fma.f64 -9 x -6)) (.f64 x 6) (.f64 (pow.f64 x 4) -81)))
(pow.f64 (.f64 x (+.f64 (.f64 x -9) 6)) 1)
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) 2)
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x -9) 6))) 3)
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(pow.f64 (pow.f64 (.f64 x (+.f64 (.f64 x -9) 6)) 3) 1/3)
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 (.f64 x -9) 6)) 2))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x -9) 6))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 (.f64 x -9) 6)))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 (.f64 x -9) 6)) 3))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 (.f64 x -9) 6))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(exp.f64 (log.f64 (.f64 x (+.f64 (.f64 x -9) 6))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 (*.f64 x -9) 6))) 1))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 (.f64 x -9) 6))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 x (.f64 x -9) (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 (.f64 x x) -9 (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 1 (.f64 x (.f64 x -9)) (*.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 1 (.f64 x 6) (.f64 x (*.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (.f64 x 6)) (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 (.f64 x (sqrt.f64 -9)) (.f64 x (sqrt.f64 -9)) (*.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (.f64 x 6)) (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 -9 x 6))
(fma.f64 (cbrt.f64 (.f64 81 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -9))) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 81 (pow.f64 x 4))) (cbrt.f64 (.f64 -9 (.f64 x x))) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) (cbrt.f64 (.f64 81 (pow.f64 x 4))) (.f64 x 6))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(.f64 -9 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 6 (*.f64 x 9))
✓	0.1b	(/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x))))
✓	0.2b	(.f64 -81 (.f64 x x))
✓	0.3b	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x)))))

Compiler

Compiled 57 to 37 computations (35.1% saved)

series49.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	x	@	0	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x)))))
0.0ms	x	@	inf	(.f64 -81 (.f64 x x))
0.0ms	x	@	inf	(/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x))))
0.0ms	x	@	0	(/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x))))

rewrite106.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`associate-/r/`
1000×	`distribute-lft-in`
876×	`associate-/l/`
312×	`add-sqr-sqrt`
300×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	106
1	318	86
2	4313	86

Stop Event

1×	node limit

Counts

4 → 244

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x)))))
(.f64 -81 (.f64 x x))
(/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x))))
(+.f64 6 (*.f64 x 9))

Outputs
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(-.f64 1296 (.f64 (.f64 (.f64 x x) 81) (.f64 (.f64 x x) 81))) (.f64 (+.f64 6 (.f64 -9 x)) (+.f64 36 (.f64 (.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 10077696 (pow.f64 (.f64 729 (pow.f64 x 3)) 3)) (.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))) (+.f64 46656 (-.f64 (.f64 (.f64 729 (pow.f64 x 3)) (.f64 729 (pow.f64 x 3))) (.f64 216 (.f64 729 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 46656 (pow.f64 (.f64 (.f64 x x) 81) 3)) (.f64 (+.f64 6 (.f64 -9 x)) (+.f64 (+.f64 1296 (.f64 (.f64 (.f64 x x) 81) (.f64 (.f64 x x) 81))) (.f64 36 (.f64 (.f64 x x) 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) 6)))))

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-r`
1246×	`associate-l`
998×	`associate-/l*`
994×	`*-commutative`
796×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	677	12016
1	2144	11660

Stop Event

1×	node limit

Counts

292 → 372

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 9/16 (pow.f64 x 3)))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
6
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(*.f64 9 x)
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(*.f64 9 x)
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 36) (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 x (.f64 x -81))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 x (.f64 x -81))) (.f64 (/.f64 x (fma.f64 x 9 6)) 36))
(+.f64 (.f64 36 (/.f64 x (fma.f64 x 9 6))) (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x 9 6))))
(+.f64 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x 9 6))) (.f64 36 (/.f64 x (fma.f64 x 9 6))))
(+.f64 (.f64 1 (.f64 (/.f64 x (fma.f64 x 9 6)) 36)) (.f64 1 (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 x (.f64 x -81)))))
(+.f64 (.f64 1 (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 x (.f64 x -81)))) (.f64 1 (.f64 (/.f64 x (fma.f64 x 9 6)) 36)))
(+.f64 (.f64 1 (.f64 36 (/.f64 x (fma.f64 x 9 6)))) (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x 9 6)))))
(+.f64 (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x 9 6)))) (.f64 1 (.f64 36 (/.f64 x (fma.f64 x 9 6)))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) 36) (.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) (.f64 x (.f64 x -81))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) (.f64 x (.f64 x -81))) (.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) 36))
(+.f64 (.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36) (.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (neg.f64 (.f64 x (.f64 x -81)))))
(+.f64 (.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (neg.f64 (.f64 x (.f64 x -81)))) (.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6))))) 1)
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))
(.f64 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6))) 1)
(.f64 1 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6))))
(.f64 (sqrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))) (sqrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 -81 (*.f64 x x) 36) (fma.f64 x 9 6))))
(.f64 (cbrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))) 2) (cbrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 (fma.f64 -81 (*.f64 x x) 36) (fma.f64 x 9 6))))
(.f64 (/.f64 x (fma.f64 x 9 6)) (fma.f64 -81 (.f64 x x) 36))
(.f64 (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)) x)
(.f64 (neg.f64 x) (.f64 -1 (/.f64 (fma.f64 -81 (*.f64 x x) 36) (fma.f64 x 9 6))))
(.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) (fma.f64 -81 (*.f64 x x) 36))
(.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 -81 (.f64 x x) 36))) (sqrt.f64 (fma.f64 -81 (.f64 x x) 36)))
(.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 36)) 2)) (cbrt.f64 (fma.f64 -81 (.f64 x x) 36)))
(.f64 (/.f64 x 1) (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (fma.f64 -81 (.f64 x x) 36) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (fma.f64 -81 (.f64 x x) 36) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (.f64 x (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (.f64 (/.f64 x 1) (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (.f64 x x) 36)))) (/.f64 x (sqrt.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (*.f64 x x) 36)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (.f64 x x) 36))) 2)) (/.f64 x (cbrt.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (*.f64 x x) 36)))))
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))
(.f64 (/.f64 x (-.f64 36 (.f64 (.f64 x x) 81))) (.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 -9 x))))
(.f64 (/.f64 x (+.f64 216 (.f64 729 (pow.f64 x 3)))) (.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 54 x)))))
(.f64 (/.f64 1 (-.f64 -6 (.f64 x 9))) (.f64 x (-.f64 -36 (.f64 x (*.f64 x -81)))))
(.f64 (.f64 -1 (/.f64 (fma.f64 -81 (*.f64 x x) 36) (fma.f64 x 9 6))) (neg.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)) (.f64 (/.f64 (sqrt.f64 x) 1) (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)) (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)) (fma.f64 -81 (*.f64 x x) 36)) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (.f64 x x) 36))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (*.f64 x x) 36)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 9 6)) (.f64 (/.f64 (cbrt.f64 x) 1) (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) (fma.f64 x 9 6)) (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (.f64 x x) 36)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (*.f64 x x) 36)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (.f64 x x) 36))) 2)) (cbrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))))
(.f64 (/.f64 x -1) (neg.f64 (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6))))
(.f64 (/.f64 (/.f64 x 1) 1) (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (/.f64 (/.f64 x 1) (-.f64 36 (.f64 (.f64 x x) 81))) (.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 -9 x))))
(.f64 (/.f64 (/.f64 x 1) (+.f64 216 (.f64 729 (pow.f64 x 3)))) (.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 54 x)))))
(.f64 (/.f64 x (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (fma.f64 -81 (.f64 x x) 36)))) (+.f64 6 (.f64 -9 x)))
(.f64 (/.f64 x (.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (/.f64 1 (fma.f64 -81 (.f64 x x) 36)))) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 54 x))))
(.f64 (/.f64 x (/.f64 (fma.f64 x 9 6) (sqrt.f64 (fma.f64 -81 (.f64 x x) 36)))) (sqrt.f64 (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 x (/.f64 (fma.f64 x 9 6) (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 36)) 2))) (cbrt.f64 (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 x (neg.f64 (-.f64 -6 (.f64 x 9)))) (neg.f64 (-.f64 -36 (.f64 x (.f64 x -81)))))
(.f64 (/.f64 x (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 1)) (.f64 (+.f64 6 (.f64 -9 x)) (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 x (.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) 1)) (.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))) (fma.f64 -81 (.f64 x x) 36)))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 9 6) (.f64 (sqrt.f64 x) (fma.f64 -81 (*.f64 x x) 36)))) (sqrt.f64 x))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 9 6) (.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 -81 (*.f64 x x) 36)))) (cbrt.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (.f64 x x) 36))) (cbrt.f64 x))
(.f64 (/.f64 (/.f64 x (fma.f64 x 9 6)) 1) (fma.f64 -81 (.f64 x x) 36))
(.f64 (/.f64 (/.f64 x (fma.f64 x 9 6)) (/.f64 1 (sqrt.f64 (fma.f64 -81 (.f64 x x) 36)))) (sqrt.f64 (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 (/.f64 x (fma.f64 x 9 6)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 36)) 2))) (cbrt.f64 (fma.f64 -81 (*.f64 x x) 36)))
(.f64 (/.f64 (/.f64 x (fma.f64 x 9 6)) -1) (-.f64 -36 (.f64 x (*.f64 x -81))))
(.f64 (/.f64 (neg.f64 x) -1) (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 -6 (.f64 x 9)))) (-.f64 -36 (.f64 x (.f64 x -81))))
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (-.f64 1296 (.f64 6561 (pow.f64 x 4)))) (-.f64 1296 (.f64 6561 (pow.f64 x 4)))) (fma.f64 -81 (*.f64 x x) 36))
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (-.f64 1296 (.f64 6561 (pow.f64 x 4)))) (-.f64 46656 (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (+.f64 1296 (+.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -2916 (.f64 x x)))))
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (+.f64 46656 (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (-.f64 1679616 (.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -2916 (.f64 x x))) (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -2916 (.f64 x x)))))) (+.f64 (-.f64 1296 (.f64 6561 (pow.f64 x 4))) (.f64 -2916 (.f64 x x))))
(.f64 (/.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (+.f64 46656 (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (+.f64 2176782336 (pow.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -2916 (.f64 x x))) 3))) (+.f64 1679616 (-.f64 (.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -2916 (.f64 x x))) (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -2916 (.f64 x x)))) (.f64 1296 (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -2916 (.f64 x x)))))))
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(*.f64 (fma.f64 x 9 6) 1)
(*.f64 1 (fma.f64 x 9 6))
(*.f64 (sqrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 x 9 6)))
(*.f64 (cbrt.f64 (fma.f64 x 9 6)) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (cbrt.f64 (fma.f64 x 9 6)))
(.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (+.f64 6 (.f64 -9 x))))
(.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 54 x)))))
(.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) (-.f64 36 (.f64 (.f64 x x) 81)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x)))) (+.f64 216 (*.f64 729 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 36 (.f64 (*.f64 x x) 81))) (fma.f64 x 9 6))
(.f64 (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 216 (.f64 729 (pow.f64 x 3)))) (+.f64 36 (.f64 (.f64 x 9) (fma.f64 x 9 6))))
(.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (-.f64 1296 (.f64 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x)) (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x))))) (-.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x))))
(.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (+.f64 46656 (pow.f64 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x)) 3))) (+.f64 1296 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x)) (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x))) (.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x))))))
(/.f64 (fma.f64 x 9 6) 1)
(/.f64 1 (/.f64 1 (fma.f64 x 9 6)))
(/.f64 1 (/.f64 (+.f64 6 (.f64 -9 x)) (-.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))) (+.f64 216 (.f64 729 (pow.f64 x 3)))))
(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 -9 x)))
(/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))))
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (neg.f64 (+.f64 6 (*.f64 -9 x))))
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (.f64 1 (neg.f64 (+.f64 6 (.f64 -9 x)))))
(/.f64 (neg.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x)))))
(/.f64 (neg.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (.f64 1 (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 54 x))))))
(/.f64 (-.f64 46656 (.f64 (.f64 729 (pow.f64 x 3)) (.f64 729 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))) (-.f64 216 (.f64 729 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 81) 36) (-.f64 (*.f64 x 9) 6))
(/.f64 (-.f64 (.f64 (.f64 x x) 81) 36) (.f64 1 (-.f64 (.f64 x 9) 6)))
(/.f64 (-.f64 1296 (.f64 (.f64 (.f64 x x) 81) (.f64 (.f64 x x) 81))) (.f64 (+.f64 6 (.f64 -9 x)) (+.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (+.f64 10077696 (pow.f64 (.f64 729 (pow.f64 x 3)) 3)) (.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))) (+.f64 46656 (-.f64 (.f64 (.f64 729 (pow.f64 x 3)) (.f64 729 (pow.f64 x 3))) (.f64 216 (.f64 729 (pow.f64 x 3)))))))
(/.f64 (-.f64 46656 (pow.f64 (.f64 (.f64 x x) 81) 3)) (.f64 (+.f64 6 (.f64 -9 x)) (+.f64 (+.f64 1296 (.f64 (.f64 (.f64 x x) 81) (.f64 (.f64 x x) 81))) (.f64 36 (.f64 (.f64 x x) 81)))))
(pow.f64 (fma.f64 x 9 6) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 9 6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 3)
(pow.f64 (pow.f64 (fma.f64 x 9 6) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 9 6) 2))
(log.f64 (exp.f64 (fma.f64 x 9 6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 6))))
(cbrt.f64 (pow.f64 (fma.f64 x 9 6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 9 6)))
(exp.f64 (log.f64 (fma.f64 x 9 6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(fma.f64 9 x 6)
(fma.f64 1 (*.f64 x 9) 6)
(fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) 6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) 6)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 x 1/4))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 1/6 (fma.f64 3/8 (.f64 x x) (.f64 x 1/4)))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 9/16 (pow.f64 x 3)))))
(+.f64 1/6 (fma.f64 3/8 (.f64 x x) (fma.f64 1/4 x (.f64 9/16 (pow.f64 x 3)))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 1/9 x)))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 4/81 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (+.f64 (/.f64 8/243 (pow.f64 x 4)) (/.f64 4/81 (pow.f64 x 3))) (/.f64 1/9 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 4/81 (pow.f64 x 3)))) (/.f64 8/243 (pow.f64 x 4))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 1/9 x)))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 4/81 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (+.f64 (/.f64 8/243 (pow.f64 x 4)) (/.f64 4/81 (pow.f64 x 3))) (/.f64 1/9 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 4/81 (pow.f64 x 3)))) (/.f64 8/243 (pow.f64 x 4))))
6
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(*.f64 9 x)
(*.f64 x 9)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(*.f64 9 x)
(*.f64 x 9)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 36) (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 x (.f64 x -81))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 x (.f64 x -81))) (.f64 (/.f64 x (fma.f64 x 9 6)) 36))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 36 (/.f64 x (fma.f64 x 9 6))) (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x 9 6))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x 9 6))) (.f64 36 (/.f64 x (fma.f64 x 9 6))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 1 (.f64 (/.f64 x (fma.f64 x 9 6)) 36)) (.f64 1 (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 x (.f64 x -81)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 1 (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 x (.f64 x -81)))) (.f64 1 (.f64 (/.f64 x (fma.f64 x 9 6)) 36)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 1 (.f64 36 (/.f64 x (fma.f64 x 9 6)))) (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x 9 6)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x 9 6)))) (.f64 1 (.f64 36 (/.f64 x (fma.f64 x 9 6)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) 36) (.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) (.f64 x (.f64 x -81))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) (.f64 x (.f64 x -81))) (.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) 36))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(+.f64 (.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36) (.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (neg.f64 (.f64 x (.f64 x -81)))))
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (fma.f64 (*.f64 x x) 81 -36))
(+.f64 (.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (neg.f64 (.f64 x (.f64 x -81)))) (.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36))
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (fma.f64 (*.f64 x x) 81 -36))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6))))) 1)
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6))) 1)
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 1 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (sqrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))) (sqrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 -81 (*.f64 x x) 36) (fma.f64 x 9 6))))
(.f64 (sqrt.f64 x) (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 (sqrt.f64 x) (fma.f64 x 9 6))))
(.f64 (fma.f64 -81 (.f64 x x) 36) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x 9 6))))
(.f64 (cbrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))) 2))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))) 2) (cbrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 (fma.f64 -81 (*.f64 x x) 36) (fma.f64 x 9 6))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (/.f64 (fma.f64 -81 (*.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (fma.f64 -81 (.f64 x x) 36) (*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 9 6))))
(.f64 (/.f64 x (fma.f64 x 9 6)) (fma.f64 -81 (.f64 x x) 36))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)) x)
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (neg.f64 x) (.f64 -1 (/.f64 (fma.f64 -81 (*.f64 x x) 36) (fma.f64 x 9 6))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) (fma.f64 -81 (*.f64 x x) 36))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 -81 (.f64 x x) 36))) (sqrt.f64 (fma.f64 -81 (.f64 x x) 36)))
(.f64 (sqrt.f64 (fma.f64 -81 (.f64 x x) 36)) (.f64 (/.f64 x (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 -81 (.f64 x x) 36))))
(/.f64 x (/.f64 (/.f64 (fma.f64 x 9 6) (sqrt.f64 (fma.f64 -81 (.f64 x x) 36))) (sqrt.f64 (fma.f64 -81 (.f64 x x) 36))))
(.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 36)) 2)) (cbrt.f64 (fma.f64 -81 (.f64 x x) 36)))
(.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 36)) 2) (cbrt.f64 (fma.f64 -81 (.f64 x x) 36))))
(.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 36)) (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 36)) 2)))
(.f64 (/.f64 x 1) (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (fma.f64 -81 (.f64 x x) 36) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (fma.f64 -81 (.f64 x x) 36) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (.f64 x (fma.f64 -81 (*.f64 x x) 36)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (.f64 (/.f64 x 1) (fma.f64 -81 (*.f64 x x) 36)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (fma.f64 x 9 6)))
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(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 9 6) (fma.f64 -81 (*.f64 x x) 36))))
(/.f64 (fma.f64 x 9 6) (fma.f64 -81 (*.f64 x x) 36))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 6))) 1)
(fma.f64 x 9 6)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) -5)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) 5)
(-.f64 (/.f64 36 (+.f64 6 (.f64 -9 x))) (/.f64 (.f64 (.f64 x x) 81) (+.f64 6 (.f64 -9 x))))
(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x -9)))
(-.f64 (+.f64 6 (exp.f64 (log1p.f64 (*.f64 x 9)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) 5)
(*.f64 (fma.f64 x 9 6) 1)
(fma.f64 x 9 6)
(*.f64 1 (fma.f64 x 9 6))
(fma.f64 x 9 6)
(*.f64 (sqrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(*.f64 (cbrt.f64 (fma.f64 x 9 6)) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2))
(fma.f64 x 9 6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (cbrt.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (+.f64 6 (.f64 -9 x))))
(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x -9)))
(.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 54 x)))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 -54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 x -54))))
(.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) (-.f64 36 (.f64 (.f64 x x) 81)))
(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x -9)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x)))) (+.f64 216 (*.f64 729 (pow.f64 x 3))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 -54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 x -54))))
(.f64 (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 36 (.f64 (*.f64 x x) 81))) (fma.f64 x 9 6))
(fma.f64 x 9 6)
(.f64 (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (-.f64 216 (.f64 729 (pow.f64 x 3)))) (+.f64 36 (.f64 (.f64 x 9) (fma.f64 x 9 6))))
(.f64 (+.f64 36 (.f64 x (.f64 9 (fma.f64 x 9 6)))) (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 216 (.f64 -729 (pow.f64 x 3)))))
(/.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (+.f64 36 (.f64 x (.f64 9 (fma.f64 x 9 6))))))
(.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (-.f64 1296 (.f64 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x)) (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x))))) (-.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x))))
(.f64 (+.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (.f64 x 54)) (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (-.f64 1296 (.f64 (+.f64 (.f64 (.f64 x x) 81) (.f64 -54 x)) (+.f64 (.f64 (.f64 x x) 81) (.f64 -54 x))))))
(.f64 (+.f64 (fma.f64 -81 (.f64 x x) 36) (.f64 x 54)) (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (-.f64 1296 (.f64 (+.f64 (.f64 x (.f64 x 81)) (.f64 x -54)) (+.f64 (.f64 x (.f64 x 81)) (*.f64 x -54))))))
(.f64 (/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (+.f64 46656 (pow.f64 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x)) 3))) (+.f64 1296 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x)) (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x))) (.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 54 x))))))
(.f64 (+.f64 1296 (.f64 (+.f64 (.f64 (.f64 x x) 81) (.f64 -54 x)) (-.f64 (+.f64 (.f64 (.f64 x x) 81) (.f64 -54 x)) 36))) (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (+.f64 46656 (pow.f64 (+.f64 (.f64 (.f64 x x) 81) (.f64 -54 x)) 3))))
(.f64 (+.f64 1296 (.f64 (+.f64 (.f64 x (.f64 x 81)) (.f64 x -54)) (+.f64 (.f64 x (.f64 x 81)) (-.f64 (.f64 x -54) 36)))) (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (+.f64 46656 (pow.f64 (+.f64 (.f64 x (.f64 x 81)) (.f64 x -54)) 3))))
(/.f64 (fma.f64 x 9 6) 1)
(fma.f64 x 9 6)
(/.f64 1 (/.f64 1 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(/.f64 1 (/.f64 (+.f64 6 (.f64 -9 x)) (-.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x -9)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))) (+.f64 216 (.f64 729 (pow.f64 x 3)))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 -54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 x -54))))
(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 -9 x)))
(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x -9)))
(/.f64 (+.f64 216 (.f64 729 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 -54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 x -54))))
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (neg.f64 (+.f64 6 (*.f64 -9 x))))
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (+.f64 -6 (neg.f64 (*.f64 x -9))))
(/.f64 (fma.f64 (.f64 x x) 81 -36) (-.f64 -6 (.f64 x -9)))
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (.f64 1 (neg.f64 (+.f64 6 (.f64 -9 x)))))
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (+.f64 -6 (neg.f64 (*.f64 x -9))))
(/.f64 (fma.f64 (.f64 x x) 81 -36) (-.f64 -6 (.f64 x -9)))
(/.f64 (neg.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x)))))
(/.f64 (+.f64 -216 (neg.f64 (.f64 (pow.f64 x 3) 729))) (neg.f64 (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 -54 x)))))
(/.f64 (-.f64 -216 (.f64 (pow.f64 x 3) 729)) (+.f64 (-.f64 -36 (.f64 x (.f64 x 81))) (.f64 x 54)))
(/.f64 (neg.f64 (+.f64 216 (.f64 729 (pow.f64 x 3)))) (.f64 1 (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 54 x))))))
(/.f64 (+.f64 -216 (neg.f64 (.f64 (pow.f64 x 3) 729))) (neg.f64 (fma.f64 (.f64 x x) 81 (+.f64 36 (*.f64 -54 x)))))
(/.f64 (-.f64 -216 (.f64 (pow.f64 x 3) 729)) (+.f64 (-.f64 -36 (.f64 x (.f64 x 81))) (.f64 x 54)))
(/.f64 (-.f64 46656 (.f64 (.f64 729 (pow.f64 x 3)) (.f64 729 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))) (-.f64 216 (.f64 729 (pow.f64 x 3)))))
(/.f64 (-.f64 46656 (.f64 531441 (pow.f64 (.f64 x x) 3))) (.f64 (fma.f64 (.f64 x x) 81 (+.f64 36 (.f64 -54 x))) (+.f64 216 (.f64 -729 (pow.f64 x 3)))))
(/.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) (.f64 (fma.f64 (.f64 x x) 81 (+.f64 36 (.f64 x -54))) (+.f64 216 (.f64 (pow.f64 x 3) -729))))
(/.f64 (-.f64 (.f64 (.f64 x x) 81) 36) (-.f64 (*.f64 x 9) 6))
(/.f64 (fma.f64 (*.f64 x x) 81 -36) (fma.f64 x 9 -6))
(/.f64 (-.f64 (.f64 (.f64 x x) 81) 36) (.f64 1 (-.f64 (.f64 x 9) 6)))
(/.f64 (fma.f64 (*.f64 x x) 81 -36) (fma.f64 x 9 -6))
(/.f64 (-.f64 1296 (.f64 (.f64 (.f64 x x) 81) (.f64 (.f64 x x) 81))) (.f64 (+.f64 6 (.f64 -9 x)) (+.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (+.f64 1296 (.f64 -6561 (pow.f64 x 4))) (.f64 (+.f64 6 (.f64 x -9)) (+.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (+.f64 1296 (.f64 (pow.f64 x 4) -6561)) (.f64 (+.f64 6 (.f64 x -9)) (+.f64 36 (.f64 x (*.f64 x 81)))))
(/.f64 (+.f64 10077696 (pow.f64 (.f64 729 (pow.f64 x 3)) 3)) (.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 54 x))) (+.f64 46656 (-.f64 (.f64 (.f64 729 (pow.f64 x 3)) (.f64 729 (pow.f64 x 3))) (.f64 216 (.f64 729 (pow.f64 x 3)))))))
(/.f64 (+.f64 10077696 (.f64 387420489 (pow.f64 (pow.f64 x 3) 3))) (.f64 (fma.f64 (.f64 x x) 81 (+.f64 36 (.f64 -54 x))) (+.f64 46656 (.f64 (.f64 (pow.f64 x 3) 729) (-.f64 (*.f64 (pow.f64 x 3) 729) 216)))))
(/.f64 (/.f64 (+.f64 10077696 (.f64 387420489 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (.f64 x x) 81 (+.f64 36 (.f64 x -54)))) (+.f64 46656 (.f64 (pow.f64 x 3) (.f64 729 (-.f64 (.f64 (pow.f64 x 3) 729) 216)))))
(/.f64 (-.f64 46656 (pow.f64 (.f64 (.f64 x x) 81) 3)) (.f64 (+.f64 6 (.f64 -9 x)) (+.f64 (+.f64 1296 (.f64 (.f64 (.f64 x x) 81) (.f64 (.f64 x x) 81))) (.f64 36 (.f64 (.f64 x x) 81)))))
(/.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) (.f64 (+.f64 6 (.f64 x -9)) (+.f64 1296 (+.f64 (.f64 (pow.f64 x 4) 6561) (.f64 36 (.f64 (.f64 x x) 81))))))
(/.f64 (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441)) (.f64 (+.f64 6 (.f64 x -9)) (fma.f64 6561 (pow.f64 x 4) (+.f64 1296 (.f64 (.f64 x x) 2916)))))
(pow.f64 (fma.f64 x 9 6) 1)
(fma.f64 x 9 6)
(pow.f64 (sqrt.f64 (fma.f64 x 9 6)) 2)
(fma.f64 x 9 6)
(pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 3)
(fma.f64 x 9 6)
(pow.f64 (pow.f64 (fma.f64 x 9 6) 3) 1/3)
(fma.f64 x 9 6)
(sqrt.f64 (pow.f64 (fma.f64 x 9 6) 2))
(log.f64 (exp.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 6))))
(fma.f64 x 9 6)
(cbrt.f64 (pow.f64 (fma.f64 x 9 6) 3))
(fma.f64 x 9 6)
(expm1.f64 (log1p.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(exp.f64 (log.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 6)) 1))
(fma.f64 x 9 6)
(log1p.f64 (expm1.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(fma.f64 x 9 6)
(fma.f64 9 x 6)
(fma.f64 x 9 6)
(fma.f64 1 (*.f64 x 9) 6)
(fma.f64 x 9 6)
(fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) 6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) 6)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 x 3))
✓	0.2b	(/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (*.f64 x x)) 4))
✓	0.2b	(/.f64 (.f64 x 3) (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (.f64 x x)) 4)))
	0.2b	(.f64 -9 (.f64 x x))

Compiler

Compiled 59 to 39 computations (33.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x 3) (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (.f64 x x)) 4)))
0.0ms	x	@	inf	(/.f64 (.f64 x 3) (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (.f64 x x)) 4)))
0.0ms	x	@	-inf	(/.f64 (.f64 x 3) (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (.f64 x x)) 4)))
0.0ms	x	@	inf	(/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (*.f64 x x)) 4))
0.0ms	x	@	-inf	(/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (*.f64 x x)) 4))

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`associate-/r/`
1084×	`associate-/l/`
826×	`distribute-lft-in`
318×	`add-sqr-sqrt`
306×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	91
1	320	79
2	4412	79

Stop Event

1×	node limit

Counts

3 → 244

Calls

Call 1

Inputs
(/.f64 (.f64 x 3) (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (.f64 x x)) 4)))
(/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (*.f64 x x)) 4))
(+.f64 2 (*.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) (*.f64 x (*.f64 x -9))) (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) 4) (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -9)) (*.f64 3 (/.f64 x (fma.f64 x 3 2)))) (*.f64 4 (*.f64 3 (/.f64 x (fma.f64 x 3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 3 (/.f64 x (fma.f64 x 3 2)))) (*.f64 (*.f64 x (*.f64 x -9)) (*.f64 3 (/.f64 x (fma.f64 x 3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) (*.f64 x (*.f64 x -9)))) (*.f64 1 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) 4)) (*.f64 1 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) (*.f64 x (*.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x -9)) (*.f64 3 (/.f64 x (fma.f64 x 3 2))))) (*.f64 1 (*.f64 4 (*.f64 3 (/.f64 x (fma.f64 x 3 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 4 (*.f64 3 (/.f64 x (fma.f64 x 3 2))))) (*.f64 1 (*.f64 (*.f64 x (*.f64 x -9)) (*.f64 3 (/.f64 x (fma.f64 x 3 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) 1) (*.f64 x (*.f64 x -9))) (*.f64 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) 1) 4) (*.f64 (*.f64 (*.f64 3 (/.f64 x (fma.f64 x 3 2))) 1) (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x 3) (+.f64 (*.f64 x -3) -2)) (neg.f64 (*.f64 x (*.f64 x -9)))) (*.f64 (/.f64 (*.f64 x 3) (+.f64 (*.f64 x -3) -2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 3 2) 3) (pow.f64 (fma.f64 (*.f64 x -9) x 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 2 (*.f64 x -3))) (/.f64 (pow.f64 (*.f64 x 3) 2) (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 (log1p.f64 (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 2)) (sqrt.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 2)) (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2) (cbrt.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (*.f64 x 3) 2)) (/.f64 1 (+.f64 2 (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (*.f64 x -3))) (-.f64 4 (pow.f64 (*.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4 (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 6 x)))) (+.f64 8 (*.f64 (pow.f64 x 3) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 4 (pow.f64 (*.f64 x 3) 2)) (-.f64 4 (pow.f64 (*.f64 x 3) 2))) (fma.f64 x 3 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 4 (pow.f64 (*.f64 x 3) 2)) (-.f64 8 (*.f64 (pow.f64 x 3) 27))) (+.f64 4 (*.f64 (*.f64 x 3) (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 8 (*.f64 (pow.f64 x 3) 27)) (-.f64 16 (*.f64 (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 6 x)) (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 6 x))))) (+.f64 (-.f64 4 (pow.f64 (*.f64 x 3) 2)) (*.f64 6 x)))))) (#(struct:change 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2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (*.f64 (pow.f64 (*.f64 x 3) 2) (pow.f64 (*.f64 x 3) 2))) (*.f64 (+.f64 2 (*.f64 x -3)) (+.f64 4 (pow.f64 (*.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 512 (pow.f64 (*.f64 (pow.f64 x 3) 27) 3)) (*.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 x 3) 2) (*.f64 6 x))) (+.f64 64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) 27) (*.f64 (pow.f64 x 3) 27)) (*.f64 8 (*.f64 (pow.f64 x 3) 27))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (pow.f64 (pow.f64 (*.f64 x 3) 2) 3)) (*.f64 (+.f64 2 (*.f64 x -3)) (+.f64 (+.f64 16 (*.f64 (pow.f64 (*.f64 x 3) 2) (pow.f64 (*.f64 x 3) 2))) (*.f64 4 (pow.f64 (*.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) 2)))))

simplify167.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1458×	`associate-r`
1318×	`associate-l`
1256×	`associate-/l*`
1048×	`*-commutative`
900×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	667	13332
1	2141	12998

Stop Event

1×	node limit

Counts

280 → 373

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
1/2
(+.f64 1/2 (*.f64 3/4 x))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 3/4 x)))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 (.f64 27/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 3/4 x))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
2
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (*.f64 3 x) 2)
(+.f64 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) (.f64 x (.f64 x -9))) (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) 4))
(+.f64 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) 4) (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) (.f64 x (.f64 x -9))))
(+.f64 (.f64 (.f64 x (.f64 x -9)) (.f64 3 (/.f64 x (fma.f64 x 3 2)))) (.f64 4 (.f64 3 (/.f64 x (fma.f64 x 3 2)))))
(+.f64 (.f64 4 (.f64 3 (/.f64 x (fma.f64 x 3 2)))) (.f64 (.f64 x (.f64 x -9)) (.f64 3 (/.f64 x (fma.f64 x 3 2)))))
(+.f64 (.f64 1 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) (.f64 x (.f64 x -9)))) (.f64 1 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) 4)))
(+.f64 (.f64 1 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) 4)) (.f64 1 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) (.f64 x (.f64 x -9)))))
(+.f64 (.f64 1 (.f64 (.f64 x (.f64 x -9)) (.f64 3 (/.f64 x (fma.f64 x 3 2))))) (.f64 1 (.f64 4 (.f64 3 (/.f64 x (fma.f64 x 3 2))))))
(+.f64 (.f64 1 (.f64 4 (.f64 3 (/.f64 x (fma.f64 x 3 2))))) (.f64 1 (.f64 (.f64 x (.f64 x -9)) (.f64 3 (/.f64 x (fma.f64 x 3 2))))))
(+.f64 (.f64 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) 1) (.f64 x (.f64 x -9))) (.f64 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) 1) 4))
(+.f64 (.f64 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) 1) 4) (.f64 (.f64 (.f64 3 (/.f64 x (fma.f64 x 3 2))) 1) (.f64 x (.f64 x -9))))
(+.f64 (.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x -3) -2)) (neg.f64 (.f64 x (.f64 x -9)))) (.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x -3) -2)) -4))
(+.f64 (.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x -3) -2)) -4) (.f64 (/.f64 (.f64 x 3) (+.f64 (.f64 x -3) -2)) (neg.f64 (.f64 x (.f64 x -9)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (/.f64 (fma.f64 x 3 2) (.f64 x (fma.f64 (.f64 x -9) x 4)))))) 1)
(.f64 x (.f64 (/.f64 3 (fma.f64 x 3 2)) (fma.f64 (*.f64 x -9) x 4)))
(.f64 x (.f64 (/.f64 (fma.f64 (*.f64 x -9) x 4) (fma.f64 x 3 2)) 3))
(.f64 3 (.f64 x (/.f64 (fma.f64 (*.f64 x -9) x 4) (fma.f64 x 3 2))))
(.f64 3 (.f64 (/.f64 x (fma.f64 x 3 2)) (fma.f64 (*.f64 x -9) x 4)))
(.f64 (.f64 x 3) (/.f64 (fma.f64 (*.f64 x -9) x 4) (fma.f64 x 3 2)))
(.f64 (fma.f64 (.f64 x -9) x 4) (*.f64 3 (/.f64 x (fma.f64 x 3 2))))
(.f64 (/.f64 3 (/.f64 (fma.f64 x 3 2) (.f64 x (fma.f64 (*.f64 x -9) x 4)))) 1)
(.f64 1 (/.f64 3 (/.f64 (fma.f64 x 3 2) (.f64 x (fma.f64 (*.f64 x -9) x 4)))))
(.f64 (sqrt.f64 (/.f64 3 (/.f64 (fma.f64 x 3 2) (.f64 x (fma.f64 (.f64 x -9) x 4))))) (sqrt.f64 (/.f64 3 (/.f64 (fma.f64 x 3 2) (.f64 x (fma.f64 (*.f64 x -9) x 4))))))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) (/.f64 (fma.f64 (*.f64 x -9) x 4) (fma.f64 x 3 2))))
(.f64 (cbrt.f64 (/.f64 3 (/.f64 (fma.f64 x 3 2) (.f64 x (fma.f64 (.f64 x -9) x 4))))) (pow.f64 (cbrt.f64 (/.f64 3 (/.f64 (fma.f64 x 3 2) (.f64 x (fma.f64 (*.f64 x -9) x 4))))) 2))
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(+.f64 (.f64 (/.f64 (fma.f64 x 3 2) (+.f64 64 (.f64 -729 (pow.f64 (.f64 x x) 3)))) (-.f64 16 (.f64 (.f64 x x) -36))) (.f64 (/.f64 (fma.f64 x 3 2) (+.f64 64 (.f64 -729 (pow.f64 (.f64 x x) 3)))) (*.f64 81 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)))) 1)
(.f64 (fma.f64 x 3 2) (/.f64 1 (fma.f64 (.f64 x -9) x 4)))
(.f64 (fma.f64 x 3 2) (/.f64 (fma.f64 (.f64 x -9) x -4) (+.f64 (*.f64 81 (pow.f64 x 4)) -16)))
(.f64 (fma.f64 x 3 2) (/.f64 (+.f64 (.f64 81 (pow.f64 x 4)) (-.f64 16 (.f64 (.f64 x x) -36))) (+.f64 64 (.f64 -729 (pow.f64 (.f64 x x) 3)))))
(.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x -9) x 4)) 1)
(.f64 1 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x -9) x 4)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x -9) x 4))) (sqrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(.f64 (sqrt.f64 (fma.f64 x 3 2)) (.f64 (sqrt.f64 (fma.f64 x 3 2)) (/.f64 1 (fma.f64 (*.f64 x -9) x 4))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x -9) x 4))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x -9) x 4))) 2) (cbrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2) (.f64 (cbrt.f64 (fma.f64 x 3 2)) (/.f64 1 (fma.f64 (*.f64 x -9) x 4))))
(.f64 (/.f64 1 (fma.f64 (.f64 x -9) x 4)) (fma.f64 x 3 2))
(.f64 (+.f64 (.f64 x -3) -2) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x -9) x 4))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 x -9) x 4))) (/.f64 (fma.f64 x 3 2) (sqrt.f64 (fma.f64 (*.f64 x -9) x 4))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2)) (/.f64 (fma.f64 x 3 2) (cbrt.f64 (fma.f64 (*.f64 x -9) x 4))))
(.f64 (/.f64 (fma.f64 x 3 2) (+.f64 (.f64 81 (pow.f64 x 4)) -16)) (fma.f64 (*.f64 x -9) x -4))
(.f64 (/.f64 (fma.f64 x 3 2) (+.f64 64 (.f64 -729 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 81 (pow.f64 x 4)) (-.f64 16 (.f64 (.f64 x x) -36))))
(.f64 (/.f64 1 (+.f64 (.f64 81 (pow.f64 x 4)) -16)) (.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x -9) x -4)))
(.f64 (/.f64 1 (+.f64 64 (.f64 -729 (pow.f64 (.f64 x x) 3)))) (.f64 (fma.f64 x 3 2) (+.f64 (.f64 81 (pow.f64 x 4)) (-.f64 16 (.f64 (*.f64 x x) -36)))))
(.f64 -1 (/.f64 (+.f64 (.f64 x -3) -2) (fma.f64 (*.f64 x -9) x 4)))
(.f64 (/.f64 1 (neg.f64 (fma.f64 (.f64 x -9) x 4))) (+.f64 (*.f64 x -3) -2))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 3 2)) 1) (/.f64 (sqrt.f64 (fma.f64 x 3 2)) (fma.f64 (.f64 x -9) x 4)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 3 2)) (fma.f64 (.f64 x -9) x 4)) (sqrt.f64 (fma.f64 x 3 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 3 2)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 3 2)) (cbrt.f64 (fma.f64 (*.f64 x -9) x 4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 3 2)) (fma.f64 (.f64 x -9) x 4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2) (sqrt.f64 (fma.f64 (.f64 x -9) x 4))) (/.f64 (cbrt.f64 (fma.f64 x 3 2)) (sqrt.f64 (fma.f64 (*.f64 x -9) x 4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(.f64 (/.f64 (fma.f64 x 3 2) (neg.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -16))) (neg.f64 (fma.f64 (*.f64 x -9) x -4)))
(.f64 (/.f64 (fma.f64 x 3 2) (neg.f64 (+.f64 64 (.f64 -729 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (.f64 81 (pow.f64 x 4)) (-.f64 16 (.f64 (.f64 x x) -36)))))
(.f64 (/.f64 (+.f64 (.f64 x -3) -2) (neg.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -16))) (fma.f64 (.f64 x -9) x -4))
(.f64 (/.f64 (+.f64 (.f64 x -3) -2) (neg.f64 (+.f64 64 (.f64 -729 (pow.f64 (.f64 x x) 3))))) (+.f64 (.f64 81 (pow.f64 x 4)) (-.f64 16 (.f64 (*.f64 x x) -36))))
(.f64 (/.f64 (fma.f64 x 3 2) (-.f64 16 (.f64 81 (pow.f64 x 4)))) (-.f64 4 (.f64 x (.f64 x -9))))
(.f64 (/.f64 1 (/.f64 (fma.f64 (.f64 x -9) x 4) (sqrt.f64 (fma.f64 x 3 2)))) (sqrt.f64 (fma.f64 x 3 2)))
(.f64 (/.f64 1 (/.f64 (fma.f64 (.f64 x -9) x 4) (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2))) (cbrt.f64 (fma.f64 x 3 2)))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x -9) x 4))) 2))) (cbrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2) (fma.f64 (.f64 x -9) x 4)) (cbrt.f64 (fma.f64 x 3 2)))
(.f64 (/.f64 (.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (/.f64 1 (fma.f64 (.f64 x -9) x 4))) (-.f64 4 (pow.f64 (*.f64 x 3) 2))) (fma.f64 x 3 2))
(.f64 (/.f64 (.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (/.f64 1 (fma.f64 (.f64 x -9) x 4))) (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 4 (.f64 (*.f64 x 3) (fma.f64 x 3 2))))
(.f64 (/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 (.f64 x -9) x 4))) (-.f64 16 (.f64 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)) (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))))) (+.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (*.f64 6 x)))
(.f64 (/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 (.f64 x -9) x 4))) (+.f64 64 (pow.f64 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)) 3))) (+.f64 16 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)) (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))) (.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))))))
(.f64 (/.f64 (/.f64 (fma.f64 x 3 2) (sqrt.f64 (fma.f64 (.f64 x -9) x 4))) (sqrt.f64 (+.f64 64 (.f64 -729 (pow.f64 (.f64 x x) 3))))) (sqrt.f64 (+.f64 (.f64 81 (pow.f64 x 4)) (-.f64 16 (.f64 (*.f64 x x) -36)))))
(.f64 (/.f64 (/.f64 (fma.f64 x 3 2) (sqrt.f64 (fma.f64 (.f64 x -9) x 4))) (sqrt.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -16))) (sqrt.f64 (fma.f64 (.f64 x -9) x -4)))
(.f64 (/.f64 (/.f64 (fma.f64 x 3 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2)) (cbrt.f64 (+.f64 64 (.f64 -729 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (.f64 81 (pow.f64 x 4)) (-.f64 16 (.f64 (*.f64 x x) -36)))))
(.f64 (/.f64 (/.f64 (fma.f64 x 3 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2)) (cbrt.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -16))) (cbrt.f64 (fma.f64 (.f64 x -9) x -4)))
(pow.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (*.f64 x -9) x 4) (fma.f64 x 3 2)) -1)
(neg.f64 (/.f64 (fma.f64 x 3 2) (neg.f64 (fma.f64 (*.f64 x -9) x 4))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 3 2) 3) (pow.f64 (fma.f64 (*.f64 x -9) x 4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x -9) x 4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 3))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 2))) 1)
(-.f64 (/.f64 4 (+.f64 2 (.f64 x -3))) (/.f64 (pow.f64 (.f64 x 3) 2) (+.f64 2 (*.f64 x -3))))
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (*.f64 x 3)))) 1)
(*.f64 (fma.f64 x 3 2) 1)
(*.f64 1 (fma.f64 x 3 2))
(*.f64 (sqrt.f64 (fma.f64 x 3 2)) (sqrt.f64 (fma.f64 x 3 2)))
(*.f64 (cbrt.f64 (fma.f64 x 3 2)) (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2) (cbrt.f64 (fma.f64 x 3 2)))
(.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (/.f64 1 (+.f64 2 (*.f64 x -3))))
(.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)))))
(.f64 (/.f64 1 (+.f64 2 (.f64 x -3))) (-.f64 4 (pow.f64 (*.f64 x 3) 2)))
(.f64 (/.f64 1 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)))) (+.f64 8 (.f64 (pow.f64 x 3) 27)))
(.f64 (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (-.f64 4 (pow.f64 (*.f64 x 3) 2))) (fma.f64 x 3 2))
(.f64 (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 4 (.f64 (*.f64 x 3) (fma.f64 x 3 2))))
(.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (-.f64 16 (.f64 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)) (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))))) (+.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (*.f64 6 x)))
(.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 64 (pow.f64 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)) 3))) (+.f64 16 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)) (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))) (.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))))))
(/.f64 (fma.f64 x 3 2) 1)
(/.f64 1 (/.f64 1 (fma.f64 x 3 2)))
(/.f64 1 (/.f64 (+.f64 2 (.f64 x -3)) (-.f64 4 (pow.f64 (.f64 x 3) 2))))
(/.f64 1 (/.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))) (+.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 2 (.f64 x -3)))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (*.f64 6 x))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2))) (neg.f64 (+.f64 2 (.f64 x -3))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2))) (.f64 1 (neg.f64 (+.f64 2 (*.f64 x -3)))))
(/.f64 (neg.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (*.f64 6 x)))))
(/.f64 (neg.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27))) (.f64 1 (neg.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))))))
(/.f64 (-.f64 64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27))) (.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (-.f64 (pow.f64 (.f64 x 3) 2) 4) (-.f64 (.f64 x 3) 2))
(/.f64 (-.f64 (pow.f64 (.f64 x 3) 2) 4) (.f64 1 (-.f64 (*.f64 x 3) 2)))
(/.f64 (-.f64 16 (.f64 (pow.f64 (.f64 x 3) 2) (pow.f64 (.f64 x 3) 2))) (.f64 (+.f64 2 (.f64 x -3)) (+.f64 4 (pow.f64 (.f64 x 3) 2))))
(/.f64 (+.f64 512 (pow.f64 (.f64 (pow.f64 x 3) 27) 3)) (.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))) (+.f64 64 (-.f64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27)) (.f64 8 (*.f64 (pow.f64 x 3) 27))))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (.f64 x 3) 2) 3)) (.f64 (+.f64 2 (.f64 x -3)) (+.f64 (+.f64 16 (.f64 (pow.f64 (.f64 x 3) 2) (pow.f64 (.f64 x 3) 2))) (.f64 4 (pow.f64 (.f64 x 3) 2)))))
(pow.f64 (fma.f64 x 3 2) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 3 2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 3 2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 3 2) 2))
(log.f64 (exp.f64 (fma.f64 x 3 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 3 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 3 2)))
(exp.f64 (log.f64 (fma.f64 x 3 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 3 2)))
(fma.f64 x 3 2)
(fma.f64 3 x 2)
(fma.f64 1 (*.f64 x 3) 2)
(fma.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 (.f64 x 3)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (.f64 x 3)) 2)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(*.f64 -9 (pow.f64 x 2))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(*.f64 -9 (pow.f64 x 2))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
1/2
(+.f64 1/2 (*.f64 3/4 x))
(+.f64 1/2 (*.f64 x 3/4))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 3/4 x)))
(fma.f64 9/8 (.f64 x x) (+.f64 1/2 (.f64 x 3/4)))
(+.f64 (.f64 9/8 (pow.f64 x 2)) (+.f64 (.f64 27/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 3/4 x))))
(fma.f64 9/8 (.f64 x x) (fma.f64 27/16 (pow.f64 x 3) (+.f64 1/2 (.f64 x 3/4))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (/.f64 1/3 x)))
(neg.f64 (+.f64 (/.f64 (/.f64 2/9 x) x) (/.f64 1/3 x)))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/27 (pow.f64 x 3)))))
(-.f64 (neg.f64 (+.f64 (/.f64 (/.f64 2/9 x) x) (/.f64 1/3 x))) (/.f64 4/27 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 4/27 (pow.f64 x 3)) (/.f64 8/81 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 2/9 x) x) (/.f64 1/3 x)) (/.f64 8/81 (pow.f64 x 4))) (/.f64 4/27 (pow.f64 x 3))))
(/.f64 -1/3 x)
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (/.f64 1/3 x)))
(neg.f64 (+.f64 (/.f64 (/.f64 2/9 x) x) (/.f64 1/3 x)))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/27 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/27 (pow.f64 x 3)))))
(-.f64 (neg.f64 (+.f64 (/.f64 (/.f64 2/9 x) x) (/.f64 1/3 x))) (/.f64 4/27 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 x)) (+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 3))) (.f64 8/81 (/.f64 1 (pow.f64 x 4)))))))
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(.f64 (/.f64 (fma.f64 x 3 2) (.f64 (sqrt.f64 (fma.f64 (.f64 x -9) x 4)) (sqrt.f64 (fma.f64 81 (pow.f64 x 4) -16)))) (sqrt.f64 (fma.f64 (.f64 x -9) x -4)))
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(.f64 (/.f64 (fma.f64 x 3 2) (.f64 (cbrt.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) 64)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2))) (cbrt.f64 (fma.f64 81 (pow.f64 x 4) (-.f64 16 (.f64 x (*.f64 x -36))))))
(.f64 (/.f64 (/.f64 (fma.f64 x 3 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2)) (cbrt.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) 64))) (cbrt.f64 (fma.f64 81 (pow.f64 x 4) (-.f64 16 (.f64 x (.f64 x -36))))))
(.f64 (/.f64 (/.f64 (fma.f64 x 3 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2)) (cbrt.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -16))) (cbrt.f64 (fma.f64 (.f64 x -9) x -4)))
(.f64 (/.f64 (fma.f64 x 3 2) (.f64 (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -16)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2))) (cbrt.f64 (fma.f64 (.f64 x -9) x -4)))
(.f64 (/.f64 (fma.f64 x 3 2) (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x -9) x 4)) 2) (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -16)))) (cbrt.f64 (fma.f64 (.f64 x -9) x -4)))
(pow.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)) 1)
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))) 2)
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))) 3)
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)) 3) 1/3)
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(pow.f64 (/.f64 (fma.f64 (*.f64 x -9) x 4) (fma.f64 x 3 2)) -1)
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(neg.f64 (/.f64 (fma.f64 x 3 2) (neg.f64 (fma.f64 (*.f64 x -9) x 4))))
(/.f64 (neg.f64 (fma.f64 x 3 2)) (neg.f64 (fma.f64 (*.f64 x -9) x 4)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)))))
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4)) 3))
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 3 2) 3) (pow.f64 (fma.f64 (*.f64 x -9) x 4) 3)))
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(exp.f64 (log.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (.f64 x -9) x 4))) 1))
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))))
(/.f64 (fma.f64 x 3 2) (fma.f64 (*.f64 x -9) x 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 3))) -1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 3))) 1)
(+.f64 1 (exp.f64 (log1p.f64 (*.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 2))) 1)
(fma.f64 x 3 2)
(-.f64 (/.f64 4 (+.f64 2 (.f64 x -3))) (/.f64 (pow.f64 (.f64 x 3) 2) (+.f64 2 (*.f64 x -3))))
(/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 2 (.f64 x -3)))
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (*.f64 x 3)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 3))) 1)
(+.f64 1 (exp.f64 (log1p.f64 (*.f64 x 3))))
(*.f64 (fma.f64 x 3 2) 1)
(fma.f64 x 3 2)
(*.f64 1 (fma.f64 x 3 2))
(fma.f64 x 3 2)
(*.f64 (sqrt.f64 (fma.f64 x 3 2)) (sqrt.f64 (fma.f64 x 3 2)))
(fma.f64 x 3 2)
(*.f64 (cbrt.f64 (fma.f64 x 3 2)) (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2))
(fma.f64 x 3 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 2) (cbrt.f64 (fma.f64 x 3 2)))
(fma.f64 x 3 2)
(.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (/.f64 1 (+.f64 2 (*.f64 x -3))))
(/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 2 (.f64 x -3)))
(.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (/.f64 1 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 -6 x))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 x -6))))
(.f64 (/.f64 1 (+.f64 2 (.f64 x -3))) (-.f64 4 (pow.f64 (*.f64 x 3) 2)))
(/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 2 (.f64 x -3)))
(.f64 (/.f64 1 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)))) (+.f64 8 (.f64 (pow.f64 x 3) 27)))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 -6 x))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 x -6))))
(.f64 (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (-.f64 4 (pow.f64 (*.f64 x 3) 2))) (fma.f64 x 3 2))
(fma.f64 x 3 2)
(.f64 (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (-.f64 8 (.f64 (pow.f64 x 3) 27))) (+.f64 4 (.f64 (*.f64 x 3) (fma.f64 x 3 2))))
(.f64 (+.f64 4 (.f64 (fma.f64 x 3 2) (.f64 x 3))) (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(.f64 (+.f64 4 (.f64 x (.f64 3 (fma.f64 x 3 2)))) (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (-.f64 16 (.f64 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)) (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))))) (+.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (*.f64 6 x)))
(.f64 (+.f64 (.f64 6 x) (-.f64 4 (pow.f64 (.f64 x 3) 2))) (/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (-.f64 16 (.f64 (+.f64 (pow.f64 (.f64 x 3) 2) (.f64 -6 x)) (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 -6 x))))))
(/.f64 (.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 (.f64 6 x) (-.f64 4 (pow.f64 (.f64 x 3) 2)))) (-.f64 16 (.f64 (+.f64 (pow.f64 (.f64 x 3) 2) (.f64 x -6)) (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 x -6)))))
(.f64 (/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 64 (pow.f64 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)) 3))) (+.f64 16 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x)) (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))) (.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))))))
(.f64 (+.f64 16 (.f64 (+.f64 (pow.f64 (.f64 x 3) 2) (.f64 -6 x)) (-.f64 (+.f64 (pow.f64 (.f64 x 3) 2) (.f64 -6 x)) 4))) (/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 64 (pow.f64 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 -6 x)) 3))))
(.f64 (+.f64 16 (.f64 (+.f64 (pow.f64 (.f64 x 3) 2) (.f64 x -6)) (+.f64 (pow.f64 (.f64 x 3) 2) (-.f64 (.f64 x -6) 4)))) (/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 64 (pow.f64 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 x -6)) 3))))
(/.f64 (fma.f64 x 3 2) 1)
(fma.f64 x 3 2)
(/.f64 1 (/.f64 1 (fma.f64 x 3 2)))
(fma.f64 x 3 2)
(/.f64 1 (/.f64 (+.f64 2 (.f64 x -3)) (-.f64 4 (pow.f64 (.f64 x 3) 2))))
(/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 2 (.f64 x -3)))
(/.f64 1 (/.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))) (+.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 -6 x))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 x -6))))
(/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 2 (.f64 x -3)))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (*.f64 6 x))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 -6 x))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27)) (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 x -6))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2))) (neg.f64 (+.f64 2 (.f64 x -3))))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 -2 (neg.f64 (.f64 x -3)))))
(/.f64 (+.f64 -4 (pow.f64 (*.f64 x 3) 2)) (fma.f64 x 3 -2))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2))) (.f64 1 (neg.f64 (+.f64 2 (*.f64 x -3)))))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 -2 (neg.f64 (.f64 x -3)))))
(/.f64 (+.f64 -4 (pow.f64 (*.f64 x 3) 2)) (fma.f64 x 3 -2))
(/.f64 (neg.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27))) (neg.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (*.f64 6 x)))))
(/.f64 (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 3) 27))) (+.f64 -4 (neg.f64 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 -6 x)))))
(/.f64 (-.f64 -8 (.f64 (pow.f64 x 3) 27)) (-.f64 -4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 x -6))))
(/.f64 (neg.f64 (+.f64 8 (.f64 (pow.f64 x 3) 27))) (.f64 1 (neg.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))))))
(/.f64 (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 3) 27))) (+.f64 -4 (neg.f64 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 -6 x)))))
(/.f64 (-.f64 -8 (.f64 (pow.f64 x 3) 27)) (-.f64 -4 (+.f64 (pow.f64 (.f64 x 3) 2) (*.f64 x -6))))
(/.f64 (-.f64 64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27))) (.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (-.f64 64 (.f64 (pow.f64 (.f64 x x) 3) 729)) (.f64 (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (.f64 -6 x))) (-.f64 8 (.f64 (pow.f64 x 3) 27))))
(/.f64 (-.f64 64 (.f64 (pow.f64 (.f64 x x) 3) 729)) (.f64 (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (.f64 x -6))) (-.f64 8 (.f64 (pow.f64 x 3) 27))))
(/.f64 (-.f64 (pow.f64 (.f64 x 3) 2) 4) (-.f64 (.f64 x 3) 2))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 -2 (neg.f64 (.f64 x -3)))))
(/.f64 (+.f64 -4 (pow.f64 (*.f64 x 3) 2)) (fma.f64 x 3 -2))
(/.f64 (-.f64 (pow.f64 (.f64 x 3) 2) 4) (.f64 1 (-.f64 (*.f64 x 3) 2)))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (.f64 x 3) 2)) (+.f64 -2 (neg.f64 (.f64 x -3)))))
(/.f64 (+.f64 -4 (pow.f64 (*.f64 x 3) 2)) (fma.f64 x 3 -2))
(/.f64 (-.f64 16 (.f64 (pow.f64 (.f64 x 3) 2) (pow.f64 (.f64 x 3) 2))) (.f64 (+.f64 2 (.f64 x -3)) (+.f64 4 (pow.f64 (.f64 x 3) 2))))
(/.f64 (-.f64 16 (pow.f64 (.f64 x 3) 4)) (.f64 (+.f64 2 (.f64 x -3)) (+.f64 4 (pow.f64 (.f64 x 3) 2))))
(/.f64 (/.f64 (-.f64 16 (pow.f64 (.f64 x 3) 4)) (+.f64 2 (.f64 x -3))) (+.f64 4 (pow.f64 (*.f64 x 3) 2)))
(/.f64 (+.f64 512 (pow.f64 (.f64 (pow.f64 x 3) 27) 3)) (.f64 (+.f64 4 (-.f64 (pow.f64 (.f64 x 3) 2) (.f64 6 x))) (+.f64 64 (-.f64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27)) (.f64 8 (*.f64 (pow.f64 x 3) 27))))))
(/.f64 (+.f64 512 (.f64 (pow.f64 (pow.f64 x 3) 3) 19683)) (.f64 (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (.f64 -6 x))) (+.f64 64 (.f64 (.f64 (pow.f64 x 3) 27) (-.f64 (*.f64 (pow.f64 x 3) 27) 8)))))
(/.f64 (/.f64 (+.f64 512 (.f64 (pow.f64 (pow.f64 x 3) 3) 19683)) (+.f64 4 (+.f64 (pow.f64 (.f64 x 3) 2) (.f64 x -6)))) (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 729) (-.f64 (.f64 (pow.f64 x 3) 216) 64)))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (.f64 x 3) 2) 3)) (.f64 (+.f64 2 (.f64 x -3)) (+.f64 (+.f64 16 (.f64 (pow.f64 (.f64 x 3) 2) (pow.f64 (.f64 x 3) 2))) (.f64 4 (pow.f64 (.f64 x 3) 2)))))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (.f64 x 3) 2) 3)) (.f64 (+.f64 2 (.f64 x -3)) (+.f64 16 (+.f64 (pow.f64 (.f64 x 3) 4) (.f64 4 (pow.f64 (.f64 x 3) 2))))))
(pow.f64 (fma.f64 x 3 2) 1)
(fma.f64 x 3 2)
(pow.f64 (sqrt.f64 (fma.f64 x 3 2)) 2)
(fma.f64 x 3 2)
(pow.f64 (cbrt.f64 (fma.f64 x 3 2)) 3)
(fma.f64 x 3 2)
(pow.f64 (pow.f64 (fma.f64 x 3 2) 3) 1/3)
(fma.f64 x 3 2)
(sqrt.f64 (pow.f64 (fma.f64 x 3 2) 2))
(log.f64 (exp.f64 (fma.f64 x 3 2)))
(fma.f64 x 3 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 2))))
(fma.f64 x 3 2)
(cbrt.f64 (pow.f64 (fma.f64 x 3 2) 3))
(fma.f64 x 3 2)
(expm1.f64 (log1p.f64 (fma.f64 x 3 2)))
(fma.f64 x 3 2)
(exp.f64 (log.f64 (fma.f64 x 3 2)))
(fma.f64 x 3 2)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 2)) 1))
(fma.f64 x 3 2)
(log1p.f64 (expm1.f64 (fma.f64 x 3 2)))
(fma.f64 x 3 2)
(fma.f64 x 3 2)
(fma.f64 3 x 2)
(fma.f64 x 3 2)
(fma.f64 1 (*.f64 x 3) 2)
(fma.f64 x 3 2)
(fma.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 (.f64 x 3)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (.f64 x 3)) 2)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (fma.f64 x 9 6))
✓	0.2b	(.f64 (.f64 x x) -81)
✓	0.3b	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))
✓	0.4b	(*.f64 x (/.f64 1 (fma.f64 x 9 6)))

Compiler

Compiled 56 to 38 computations (32.1% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 x (/.f64 1 (fma.f64 x 9 6)))
0.0ms	x	@	-inf	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))
0.0ms	x	@	inf	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))
0.0ms	x	@	0	(*.f64 x (/.f64 1 (fma.f64 x 9 6)))
0.0ms	x	@	0	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))

rewrite111.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`associate-*r/`
1464×	`associate-*l/`
572×	`associate-/r*`
418×	`associate-/l*`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	338	78
2	4037	78

Stop Event

1×	node limit

Counts

4 → 291

Calls

Call 1

Inputs
(*.f64 x (/.f64 1 (fma.f64 x 9 6)))
(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))
(.f64 (.f64 x x) -81)
(/.f64 1 (fma.f64 x 9 6))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fma.f64 x 9 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (-.f64 -6 (.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 9 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (fma.f64 x 9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 x 9 6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 x 9 6) (.f64 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (fma.f64 x 9 6) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 x 9 6) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 x 9 6) (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change 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simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-/l/`
986×	`associate-l`
946×	`associate-r`
846×	`times-frac`
746×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	737	14749
1	1813	14365

Stop Event

1×	node limit

Counts

339 → 463

Calls

Call 1

Inputs
(*.f64 1/6 x)
(+.f64 (.f64 1/6 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -9/16 (pow.f64 x 4)))))
1/9
(-.f64 1/9 (*.f64 2/27 (/.f64 1 x)))
(-.f64 (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))) (.f64 2/27 (/.f64 1 x)))
(-.f64 (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 2/27 (/.f64 1 x)) (*.f64 8/243 (/.f64 1 (pow.f64 x 3)))))
1/9
(-.f64 1/9 (*.f64 2/27 (/.f64 1 x)))
(-.f64 (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))) (.f64 2/27 (/.f64 1 x)))
(-.f64 (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 2/27 (/.f64 1 x)) (*.f64 8/243 (/.f64 1 (pow.f64 x 3)))))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
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(*.f64 -81 (pow.f64 x 2))
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1/6
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(/.f64 1/9 x)
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(/.f64 1/9 x)
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(cbrt.f64 (.f64 (pow.f64 (/.f64 x (fma.f64 x 9 6)) 3) (pow.f64 (fma.f64 x (.f64 x -81) 36) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -81) 36) 3) (pow.f64 (/.f64 x (fma.f64 x 9 6)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (fma.f64 x (.f64 x -81) 36))))
(exp.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (fma.f64 x (.f64 x -81) 36))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (fma.f64 x (*.f64 x -81) 36))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (fma.f64 x (.f64 x -81) 36))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) -81))) 1)
(pow.f64 (.f64 (.f64 x x) -81) 1)
(pow.f64 (*.f64 x (sqrt.f64 -81)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) -81)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -531441) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 6561))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -81))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) -81))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -531441))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) -81)))
(exp.f64 (log.f64 (.f64 (.f64 x x) -81)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) -81)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) -81)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 9 6)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x 9 6)))
(*.f64 (/.f64 1 (fma.f64 x 9 6)) 1)
(*.f64 (pow.f64 (fma.f64 x 9 6) -1/2) (pow.f64 (fma.f64 x 9 6) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 9 6))) (cbrt.f64 (pow.f64 (fma.f64 x 9 6) -2)))
(*.f64 -1 (/.f64 -1 (fma.f64 x 9 6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 9 6))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 9 6)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 9 6)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) -1))
(pow.f64 (fma.f64 x 9 6) -1)
(pow.f64 (/.f64 1 (fma.f64 x 9 6)) 1)
(pow.f64 (pow.f64 (fma.f64 x 9 6) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 9 6))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 9 6)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 9 6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 9 6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 9 6)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 9 6)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 9 6))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 9 6))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 6)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 9 6))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 9 6))))

Outputs
(*.f64 1/6 x)
(+.f64 (.f64 1/6 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 1/6 x (.f64 -1/4 (.f64 x x)))
(fma.f64 1/6 x (.f64 x (.f64 x -1/4)))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 3/8 (pow.f64 x 3) (fma.f64 1/6 x (.f64 -1/4 (.f64 x x))))
(fma.f64 3/8 (pow.f64 x 3) (fma.f64 1/6 x (.f64 x (.f64 x -1/4))))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -9/16 (pow.f64 x 4)))))
(fma.f64 3/8 (pow.f64 x 3) (fma.f64 1/6 x (fma.f64 -1/4 (.f64 x x) (.f64 -9/16 (pow.f64 x 4)))))
1/9
(-.f64 1/9 (*.f64 2/27 (/.f64 1 x)))
(-.f64 1/9 (/.f64 2/27 x))
(+.f64 1/9 (/.f64 -2/27 x))
(-.f64 (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))) (.f64 2/27 (/.f64 1 x)))
(+.f64 1/9 (-.f64 (/.f64 4/81 (*.f64 x x)) (/.f64 2/27 x)))
(+.f64 (/.f64 4/81 (*.f64 x x)) (+.f64 1/9 (/.f64 -2/27 x)))
(-.f64 (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 2/27 (/.f64 1 x)) (*.f64 8/243 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1/9 (-.f64 (/.f64 4/81 (*.f64 x x)) (+.f64 (/.f64 2/27 x) (/.f64 8/243 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 4/81 (*.f64 x x)) (+.f64 1/9 (/.f64 -2/27 x))) (/.f64 8/243 (pow.f64 x 3)))
1/9
(-.f64 1/9 (*.f64 2/27 (/.f64 1 x)))
(-.f64 1/9 (/.f64 2/27 x))
(+.f64 1/9 (/.f64 -2/27 x))
(-.f64 (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))) (.f64 2/27 (/.f64 1 x)))
(+.f64 1/9 (-.f64 (/.f64 4/81 (*.f64 x x)) (/.f64 2/27 x)))
(+.f64 (/.f64 4/81 (*.f64 x x)) (+.f64 1/9 (/.f64 -2/27 x)))
(-.f64 (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 2/27 (/.f64 1 x)) (*.f64 8/243 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1/9 (-.f64 (/.f64 4/81 (*.f64 x x)) (+.f64 (/.f64 2/27 x) (/.f64 8/243 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 4/81 (*.f64 x x)) (+.f64 1/9 (/.f64 -2/27 x))) (/.f64 8/243 (pow.f64 x 3)))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(*.f64 -9 (pow.f64 x 2))
(.f64 (.f64 x x) -9)
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) -9))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
1/6
(+.f64 1/6 (*.f64 -1/4 x))
(+.f64 1/6 (*.f64 x -1/4))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 -1/4 x)))
(+.f64 1/6 (fma.f64 3/8 (.f64 x x) (.f64 x -1/4)))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 -1/4 x) (*.f64 -9/16 (pow.f64 x 3)))))
(+.f64 1/6 (fma.f64 3/8 (.f64 x x) (fma.f64 -1/4 x (.f64 (pow.f64 x 3) -9/16))))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 2/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/9 x) (/.f64 2/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 -2/27 (*.f64 x x)))
(-.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 2/27 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.f64 2/27 (*.f64 x x))))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 4/81 (pow.f64 x 3)) (/.f64 2/27 (*.f64 x x))))
(-.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 8/243 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 8/243 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 4/81 (pow.f64 x 3)) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 8/243 (pow.f64 x 4)))))
(/.f64 1/9 x)
(-.f64 (.f64 1/9 (/.f64 1 x)) (.f64 2/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/9 x) (/.f64 2/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 -2/27 (*.f64 x x)))
(-.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (*.f64 2/27 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.f64 2/27 (*.f64 x x))))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 4/81 (pow.f64 x 3)) (/.f64 2/27 (*.f64 x x))))
(-.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))) (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 8/243 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 8/243 (pow.f64 x 4)))))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 4/81 (pow.f64 x 3)) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 8/243 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 9 6)))) 1)
(/.f64 x (fma.f64 x 9 6))
(/.f64 x (fma.f64 x 9 6))
(/.f64 x (neg.f64 (-.f64 -6 (*.f64 x 9))))
(/.f64 x (fma.f64 x 9 6))
(/.f64 1 (/.f64 (fma.f64 x 9 6) x))
(/.f64 x (fma.f64 x 9 6))
(/.f64 (/.f64 x (fma.f64 x 9 6)) 1)
(/.f64 x (fma.f64 x 9 6))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x 9 6) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x 9 6) (*.f64 (sqrt.f64 x) 1)))
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)))
(/.f64 (cbrt.f64 x) (/.f64 (fma.f64 x 9 6) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x 9 6)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 x 9 6) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (fma.f64 x 9 6) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (fma.f64 x 9 6) (sqrt.f64 x)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 x 9 6) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x 9 6)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x 9 6) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x 9 6)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x 9 6) (*.f64 (cbrt.f64 x) 1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x 9 6)))
(/.f64 -1 (/.f64 (-.f64 -6 (*.f64 x 9)) x))
(/.f64 x (fma.f64 x 9 6))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (fma.f64 x 9 6) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (fma.f64 x 9 6) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (fma.f64 x 9 6) (sqrt.f64 x))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 x 9 6) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fma.f64 x 9 6)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fma.f64 x 9 6)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (fma.f64 x 9 6) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 9 6) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 9 6) (*.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (fma.f64 x 9 6) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 9 6) (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 x 9 6)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 (fma.f64 x 9 6) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 x 9 6) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (fma.f64 x 9 6)) (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 (fma.f64 x 9 6) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (/.f64 (fma.f64 x 9 6) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 9 6) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 x 9 6) -2))) (cbrt.f64 (fma.f64 x 9 6)))
(/.f64 x (/.f64 (cbrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (pow.f64 (fma.f64 x 9 6) -2))))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 x 9 6))) (cbrt.f64 (pow.f64 (fma.f64 x 9 6) -2)))
(/.f64 (*.f64 (sqrt.f64 x) 1) (/.f64 (fma.f64 x 9 6) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x 9 6))) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (cbrt.f64 (fma.f64 x 9 6))))
(/.f64 x (*.f64 (cbrt.f64 (fma.f64 x 9 6)) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))
(/.f64 (.f64 x -1) (-.f64 -6 (.f64 x 9)))
(/.f64 x (fma.f64 x 9 6))
(/.f64 (.f64 -1 x) (-.f64 -6 (.f64 x 9)))
(/.f64 x (fma.f64 x 9 6))
(/.f64 (/.f64 x 1) (fma.f64 x 9 6))
(/.f64 x (fma.f64 x 9 6))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 6))) (sqrt.f64 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (sqrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 x 9 6))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (cbrt.f64 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (cbrt.f64 (fma.f64 x 9 6))))
(/.f64 x (*.f64 (cbrt.f64 (fma.f64 x 9 6)) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))
(/.f64 (neg.f64 x) (-.f64 -6 (*.f64 x 9)))
(/.f64 x (fma.f64 x 9 6))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 9 6))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x 9 6)))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (/.f64 x (fma.f64 x 9 6)))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 9 6))) (sqrt.f64 (/.f64 x (fma.f64 x 9 6))))
(/.f64 (.f64 1 (.f64 x -1)) (-.f64 -6 (*.f64 x 9)))
(/.f64 x (fma.f64 x 9 6))
(/.f64 (.f64 1 (.f64 -1 x)) (-.f64 -6 (*.f64 x 9)))
(/.f64 x (fma.f64 x 9 6))
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(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 x 9 6)))) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2))
(pow.f64 (fma.f64 x 9 6) -1)
(/.f64 1 (fma.f64 x 9 6))
(pow.f64 (/.f64 1 (fma.f64 x 9 6)) 1)
(/.f64 1 (fma.f64 x 9 6))
(pow.f64 (pow.f64 (fma.f64 x 9 6) -1/2) 2)
(/.f64 1 (fma.f64 x 9 6))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 9 6))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 3))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 9 6)) 3) 1/3)
(/.f64 1 (fma.f64 x 9 6))
(sqrt.f64 (pow.f64 (fma.f64 x 9 6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 9 6))))
(/.f64 1 (fma.f64 x 9 6))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 9 6)))))
(/.f64 1 (fma.f64 x 9 6))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 9 6)) 3))
(/.f64 1 (fma.f64 x 9 6))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 9 6))))
(/.f64 1 (fma.f64 x 9 6))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 9 6))))
(/.f64 1 (fma.f64 x 9 6))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 6)) -1))
(/.f64 1 (fma.f64 x 9 6))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 9 6))) 1))
(/.f64 1 (fma.f64 x 9 6))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 9 6))))
(/.f64 1 (fma.f64 x 9 6))

eval593.0ms (7.5%)

Compiler: Compiled 31427 to 23039 computations (26.7% saved)

prune346.0ms (4.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1306	4	1310
Fresh	2	1	3
Picked	1	0	1
Done	3	6	9
Total	1312	11	1323

Error

Counts

1323 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.5b	(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))
✓	0.3b	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 x -3))))
▶	41.0b	(/.f64 x (/.f64 -1/9 x))
▶	22.8b	(/.f64 x 1/6)
✓	0.2b	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
▶	0.3b	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))
▶	23.0b	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x 1/6))
✓	41.0b	(.f64 (.f64 -9 x) x)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	22.7b	(*.f64 x 6)
✓	41.0b	(.f64 -9 (.f64 x x))

Compiler

Compiled 142 to 106 computations (25.4% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -6 (*.f64 x 9))
✓	0.2b	(/.f64 x (-.f64 -6 (*.f64 x 9)))
✓	0.2b	(.f64 x (.f64 x -81))
✓	0.3b	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))

Compiler

Compiled 51 to 37 computations (27.5% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 x (-.f64 -6 (*.f64 x 9)))
0.0ms	x	@	-inf	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))
0.0ms	x	@	inf	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))
0.0ms	x	@	0	(/.f64 x (-.f64 -6 (*.f64 x 9)))
0.0ms	x	@	0	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))

rewrite131.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`associate-/r*`
1096×	`associate-/l*`
820×	`distribute-lft-in`
674×	`associate-/r/`
316×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	319	88
2	4223	88

Stop Event

1×	node limit

Counts

4 → 305

Calls

Call 1

Inputs
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))
(.f64 x (.f64 x -81))
(/.f64 x (-.f64 -6 (*.f64 x 9)))
(-.f64 -6 (*.f64 x 9))

Outputs
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x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -6 (.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -6 (.f64 x -9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 -5 (.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -6 (.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 -6 (.f64 x -9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -6 (*.f64 x -9))))))))

simplify242.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-r`
1348×	`associate-/r*`
1344×	`associate-l`
994×	`associate-/l/`
914×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	826	17757
1	2487	17607

Stop Event

1×	node limit

Counts

353 → 522

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -1/6 x)
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/6 x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/8 (pow.f64 x 3)) (*.f64 -1/6 x)))
(+.f64 (.f64 9/16 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/8 (pow.f64 x 3)) (.f64 -1/6 x))))
-1/9
(-.f64 (*.f64 2/27 (/.f64 1 x)) 1/9)
(-.f64 (.f64 2/27 (/.f64 1 x)) (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2/27 (/.f64 1 x)) (.f64 8/243 (/.f64 1 (pow.f64 x 3)))) (+.f64 1/9 (*.f64 4/81 (/.f64 1 (pow.f64 x 2)))))
-1/9
(-.f64 (*.f64 2/27 (/.f64 1 x)) 1/9)
(-.f64 (.f64 2/27 (/.f64 1 x)) (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2/27 (/.f64 1 x)) (.f64 8/243 (/.f64 1 (pow.f64 x 3)))) (+.f64 1/9 (*.f64 4/81 (/.f64 1 (pow.f64 x 2)))))
-6
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
(-.f64 (*.f64 -9 x) 6)
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(.f64 (/.f64 (/.f64 x 1) 1) (/.f64 -1 (-.f64 6 (.f64 x -9))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 -6 (.f64 x -9))) (cbrt.f64 x))
(.f64 (/.f64 x (neg.f64 (+.f64 36 (.f64 x (.f64 x -81))))) (neg.f64 (-.f64 -6 (.f64 x -9))))
(.f64 (/.f64 x (neg.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))))) (neg.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x)))))
(.f64 (/.f64 x (-.f64 36 (.f64 (.f64 x -9) (.f64 x -9)))) (-.f64 -6 (*.f64 x -9)))
(.f64 (/.f64 x (+.f64 -216 (pow.f64 (.f64 x -9) 3))) (+.f64 36 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) (.f64 -6 (*.f64 x -9)))))
(.f64 (/.f64 1 (/.f64 (+.f64 -6 (.f64 x -9)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 36 (.f64 x (.f64 x -81))))) (-.f64 -6 (.f64 x -9)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))))) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 36 (.f64 x (.f64 x -81))))) (neg.f64 (-.f64 -6 (.f64 x -9))))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))))) (neg.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x)))))
(.f64 (/.f64 (/.f64 x 1) (-.f64 36 (.f64 (.f64 x -9) (.f64 x -9)))) (-.f64 -6 (*.f64 x -9)))
(.f64 (/.f64 (/.f64 x 1) (+.f64 -216 (pow.f64 (.f64 x -9) 3))) (+.f64 36 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) (.f64 -6 (*.f64 x -9)))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 -6 (.f64 x -9)))) (sqrt.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))))) (sqrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 -6 (.f64 x -9)))) (sqrt.f64 (+.f64 36 (.f64 x (.f64 x -81))))) (sqrt.f64 (-.f64 -6 (*.f64 x -9))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) 2)) (cbrt.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))))) (cbrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) 2)) (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81))))) (cbrt.f64 (-.f64 -6 (*.f64 x -9))))
(pow.f64 (/.f64 x (+.f64 -6 (*.f64 x -9))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 -6 (*.f64 x -9))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 -6 (*.f64 x -9)) x) -1)
(neg.f64 (/.f64 x (-.f64 6 (*.f64 x -9))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 -6 (*.f64 x -9))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 -6 (*.f64 x -9))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 -6 (*.f64 x -9))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -6 (*.f64 x -9)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 -6 (.f64 x -9)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))))
(+.f64 -6 (*.f64 x -9))
(+.f64 -6 (.f64 (.f64 x -9) 1))
(+.f64 -6 (.f64 1 (.f64 (*.f64 x -9) 1)))
(+.f64 (*.f64 x -9) -6)
(+.f64 (.f64 (.f64 x -9) 1) -6)
(+.f64 (-.f64 -6 (exp.f64 (log1p.f64 (*.f64 x 9)))) 1)
(.f64 (+.f64 -6 (.f64 x -9)) 1)
(.f64 1 (+.f64 -6 (.f64 x -9)))
(.f64 (sqrt.f64 (+.f64 -6 (.f64 x -9))) (sqrt.f64 (+.f64 -6 (*.f64 x -9))))
(.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) (pow.f64 (cbrt.f64 (+.f64 -6 (*.f64 x -9))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) 2) (cbrt.f64 (+.f64 -6 (*.f64 x -9))))
(.f64 (+.f64 36 (.f64 x (.f64 x -81))) (/.f64 1 (-.f64 -6 (.f64 x -9))))
(.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x)))))
(.f64 (/.f64 1 (-.f64 -6 (.f64 x -9))) (+.f64 36 (.f64 x (.f64 x -81))))
(.f64 (/.f64 1 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))) (-.f64 -216 (*.f64 729 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (+.f64 36 (.f64 x (.f64 x -81)))) (+.f64 -6 (.f64 x -9)))
(.f64 (/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (+.f64 -216 (.f64 729 (pow.f64 x 3)))) (-.f64 (-.f64 36 (.f64 x (.f64 x -81))) (*.f64 -54 x)))
(.f64 (/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (-.f64 1296 (.f64 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)) (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))) (-.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(.f64 (/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (+.f64 46656 (pow.f64 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)) 3))) (+.f64 1296 (-.f64 (.f64 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)) (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))))
(/.f64 (+.f64 -6 (*.f64 x -9)) 1)
(/.f64 1 (/.f64 -1 (-.f64 6 (*.f64 x -9))))
(/.f64 (sqrt.f64 (+.f64 -6 (.f64 x -9))) (/.f64 1 (sqrt.f64 (+.f64 -6 (.f64 x -9)))))
(/.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) 2) (/.f64 1 (cbrt.f64 (+.f64 -6 (.f64 x -9)))))
(/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (-.f64 -6 (*.f64 x -9)))
(/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (/.f64 1 (/.f64 1 (-.f64 -6 (*.f64 x -9)))))
(/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (/.f64 1 (/.f64 1 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))))
(/.f64 (sqrt.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (/.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (sqrt.f64 (-.f64 -216 (*.f64 729 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (/.f64 (-.f64 -6 (.f64 x -9)) (sqrt.f64 (+.f64 36 (.f64 x (*.f64 x -81))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (cbrt.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))))) (/.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (cbrt.f64 (-.f64 -216 (*.f64 729 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81))))) (/.f64 (-.f64 -6 (.f64 x -9)) (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81))))))
(/.f64 (neg.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (neg.f64 (-.f64 -6 (*.f64 x -9))))
(/.f64 (neg.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (.f64 1 (neg.f64 (-.f64 -6 (.f64 x -9)))))
(/.f64 (neg.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))
(/.f64 (neg.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (.f64 1 (neg.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))))
(/.f64 (-.f64 1296 (.f64 (.f64 81 (.f64 x x)) (.f64 81 (.f64 x x)))) (.f64 (-.f64 -6 (.f64 x -9)) (-.f64 36 (.f64 x (*.f64 x -81)))))
(/.f64 (-.f64 36 (.f64 (.f64 x -9) (.f64 x -9))) (-.f64 -6 (.f64 x -9)))
(/.f64 (-.f64 46656 (.f64 (.f64 729 (pow.f64 x 3)) (.f64 729 (pow.f64 x 3)))) (.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (+.f64 -216 (.f64 729 (pow.f64 x 3)))))
(/.f64 (+.f64 -216 (pow.f64 (.f64 x -9) 3)) (+.f64 36 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) (.f64 -6 (.f64 x -9)))))
(/.f64 (+.f64 -216 (pow.f64 (.f64 x -9) 3)) (.f64 1 (+.f64 36 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) (.f64 -6 (*.f64 x -9))))))
(/.f64 (-.f64 -10077696 (pow.f64 (.f64 729 (pow.f64 x 3)) 3)) (.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (+.f64 46656 (+.f64 (.f64 (.f64 729 (pow.f64 x 3)) (.f64 729 (pow.f64 x 3))) (.f64 -216 (.f64 729 (pow.f64 x 3)))))))
(/.f64 (-.f64 46656 (pow.f64 (.f64 81 (.f64 x x)) 3)) (.f64 (-.f64 -6 (.f64 x -9)) (+.f64 1296 (+.f64 (.f64 (.f64 81 (.f64 x x)) (.f64 81 (.f64 x x))) (.f64 36 (.f64 81 (.f64 x x)))))))
(/.f64 (/.f64 (+.f64 36 (.f64 x (.f64 x -81))) 1) (-.f64 -6 (*.f64 x -9)))
(/.f64 (/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (sqrt.f64 (-.f64 -6 (.f64 x -9)))) (sqrt.f64 (-.f64 -6 (.f64 x -9))))
(/.f64 (/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (.f64 (cbrt.f64 (-.f64 -6 (.f64 x -9))) (cbrt.f64 (-.f64 -6 (.f64 x -9))))) (cbrt.f64 (-.f64 -6 (.f64 x -9))))
(/.f64 (/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) 1) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (sqrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))) (sqrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x)))))
(/.f64 (/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))) (cbrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))) (cbrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x)))))
(pow.f64 (+.f64 -6 (*.f64 x -9)) 1)
(pow.f64 (sqrt.f64 (+.f64 -6 (*.f64 x -9))) 2)
(pow.f64 (cbrt.f64 (+.f64 -6 (*.f64 x -9))) 3)
(pow.f64 (pow.f64 (+.f64 -6 (*.f64 x -9)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -6 (*.f64 x -9)) 2))
(log.f64 (exp.f64 (+.f64 -6 (*.f64 x -9))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -6 (*.f64 x -9)))))
(cbrt.f64 (pow.f64 (+.f64 -6 (*.f64 x -9)) 3))
(expm1.f64 (log.f64 (+.f64 -5 (*.f64 x -9))))
(exp.f64 (log.f64 (+.f64 -6 (*.f64 x -9))))
(exp.f64 (.f64 (log.f64 (+.f64 -6 (.f64 x -9))) 1))
(log1p.f64 (expm1.f64 (+.f64 -6 (*.f64 x -9))))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 x (.f64 x -9)))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -1/6 x)
(*.f64 x -1/6)
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/6 x))
(fma.f64 1/4 (.f64 x x) (.f64 x -1/6))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/8 (pow.f64 x 3)) (*.f64 -1/6 x)))
(fma.f64 1/4 (.f64 x x) (fma.f64 -3/8 (pow.f64 x 3) (.f64 x -1/6)))
(+.f64 (.f64 9/16 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/8 (pow.f64 x 3)) (.f64 -1/6 x))))
(fma.f64 9/16 (pow.f64 x 4) (fma.f64 1/4 (.f64 x x) (fma.f64 -3/8 (pow.f64 x 3) (.f64 x -1/6))))
-1/9
(-.f64 (*.f64 2/27 (/.f64 1 x)) 1/9)
(+.f64 (/.f64 2/27 x) -1/9)
(-.f64 (.f64 2/27 (/.f64 1 x)) (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2/27 x) (+.f64 1/9 (/.f64 4/81 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 2/27 x) -1/9) (/.f64 (/.f64 4/81 x) x))
(-.f64 (+.f64 (.f64 2/27 (/.f64 1 x)) (.f64 8/243 (/.f64 1 (pow.f64 x 3)))) (+.f64 1/9 (*.f64 4/81 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2/27 x) (-.f64 (/.f64 8/243 (pow.f64 x 3)) (+.f64 1/9 (/.f64 4/81 (*.f64 x x)))))
(+.f64 (/.f64 8/243 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2/27 x) -1/9) (/.f64 (/.f64 4/81 x) x)))
-1/9
(-.f64 (*.f64 2/27 (/.f64 1 x)) 1/9)
(+.f64 (/.f64 2/27 x) -1/9)
(-.f64 (.f64 2/27 (/.f64 1 x)) (+.f64 1/9 (.f64 4/81 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2/27 x) (+.f64 1/9 (/.f64 4/81 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 2/27 x) -1/9) (/.f64 (/.f64 4/81 x) x))
(-.f64 (+.f64 (.f64 2/27 (/.f64 1 x)) (.f64 8/243 (/.f64 1 (pow.f64 x 3)))) (+.f64 1/9 (*.f64 4/81 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2/27 x) (-.f64 (/.f64 8/243 (pow.f64 x 3)) (+.f64 1/9 (/.f64 4/81 (*.f64 x x)))))
(+.f64 (/.f64 8/243 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2/27 x) -1/9) (/.f64 (/.f64 4/81 x) x)))
-6
(-.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 -6)
(*.f64 -9 x)
(*.f64 x -9)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 -6)
(*.f64 -9 x)
(*.f64 x -9)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 -6)
(-.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 -6)
(+.f64 (.f64 (/.f64 x (+.f64 -6 (.f64 x -9))) -36) (.f64 (/.f64 x (+.f64 -6 (.f64 x -9))) (.f64 81 (.f64 x x))))
(.f64 (/.f64 x (fma.f64 x -9 -6)) (+.f64 (.f64 81 (*.f64 x x)) -36))
(.f64 (/.f64 x (fma.f64 x -9 -6)) (+.f64 -36 (.f64 x (*.f64 x 81))))
(+.f64 (.f64 (/.f64 x (+.f64 -6 (.f64 x -9))) -36) (.f64 (/.f64 x (+.f64 -6 (.f64 x -9))) (.f64 (.f64 81 (*.f64 x x)) 1)))
(.f64 (/.f64 x (fma.f64 x -9 -6)) (+.f64 (.f64 81 (*.f64 x x)) -36))
(.f64 (/.f64 x (fma.f64 x -9 -6)) (+.f64 -36 (.f64 x (*.f64 x 81))))
(+.f64 (.f64 (/.f64 x (+.f64 -6 (.f64 x -9))) (.f64 81 (.f64 x x))) (.f64 (/.f64 x (+.f64 -6 (.f64 x -9))) -36))
(.f64 (/.f64 x (fma.f64 x -9 -6)) (+.f64 (.f64 81 (*.f64 x x)) -36))
(.f64 (/.f64 x (fma.f64 x -9 -6)) (+.f64 -36 (.f64 x (*.f64 x 81))))
(+.f64 (.f64 -36 (/.f64 x (+.f64 -6 (.f64 x -9)))) (.f64 (.f64 81 (.f64 x x)) (/.f64 x (+.f64 -6 (.f64 x -9)))))
(.f64 (/.f64 x (fma.f64 x -9 -6)) (+.f64 (.f64 81 (*.f64 x x)) -36))
(.f64 (/.f64 x (fma.f64 x -9 -6)) (+.f64 -36 (.f64 x (*.f64 x 81))))
(+.f64 (.f64 (.f64 81 (.f64 x x)) (/.f64 x (+.f64 -6 (.f64 x -9)))) (.f64 -36 (/.f64 x (+.f64 -6 (.f64 x -9)))))
(.f64 (/.f64 x (fma.f64 x -9 -6)) (+.f64 (.f64 81 (*.f64 x x)) -36))
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(/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (-.f64 -6 (*.f64 x -9)))
(/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3))) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729)) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (/.f64 1 (/.f64 1 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))))
(/.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3))) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729)) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (sqrt.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (/.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (sqrt.f64 (-.f64 -216 (*.f64 729 (pow.f64 x 3))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3)))) (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54)))) (sqrt.f64 (+.f64 -216 (*.f64 -729 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729))) (/.f64 (sqrt.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729))) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54)))))
(/.f64 (sqrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (/.f64 (-.f64 -6 (.f64 x -9)) (sqrt.f64 (+.f64 36 (.f64 x (*.f64 x -81))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (-.f64 -6 (.f64 x -9))) (sqrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))))
(.f64 (sqrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (/.f64 (sqrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (-.f64 -6 (.f64 x -9))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (cbrt.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))))) (/.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (cbrt.f64 (-.f64 -216 (*.f64 729 (pow.f64 x 3))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3)))) (cbrt.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3))))) (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54)))) (cbrt.f64 (+.f64 -216 (*.f64 -729 (pow.f64 x 3)))))
(.f64 (cbrt.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729))) (/.f64 (.f64 (cbrt.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729))) (cbrt.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729)))) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81))))) (/.f64 (-.f64 -6 (.f64 x -9)) (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81))))) (-.f64 -6 (.f64 x -9))) (cbrt.f64 (+.f64 36 (.f64 x (*.f64 x -81)))))
(.f64 (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (/.f64 (.f64 (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81))))) (-.f64 -6 (*.f64 x -9))))
(/.f64 (neg.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (neg.f64 (-.f64 -6 (*.f64 x -9))))
(/.f64 (-.f64 -36 (.f64 x (.f64 x -81))) (neg.f64 (-.f64 -6 (*.f64 x -9))))
(/.f64 (-.f64 -36 (.f64 x (.f64 x -81))) (+.f64 6 (*.f64 x -9)))
(/.f64 (neg.f64 (+.f64 36 (.f64 x (.f64 x -81)))) (.f64 1 (neg.f64 (-.f64 -6 (.f64 x -9)))))
(/.f64 (-.f64 -36 (.f64 x (.f64 x -81))) (neg.f64 (-.f64 -6 (*.f64 x -9))))
(/.f64 (-.f64 -36 (.f64 x (.f64 x -81))) (+.f64 6 (*.f64 x -9)))
(/.f64 (neg.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))
(/.f64 (neg.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3)))) (+.f64 -36 (neg.f64 (fma.f64 81 (.f64 x x) (*.f64 x -54)))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (-.f64 -36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (neg.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (.f64 1 (neg.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))))
(/.f64 (neg.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3)))) (+.f64 -36 (neg.f64 (fma.f64 81 (.f64 x x) (*.f64 x -54)))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) (-.f64 -36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (-.f64 1296 (.f64 (.f64 81 (.f64 x x)) (.f64 81 (.f64 x x)))) (.f64 (-.f64 -6 (.f64 x -9)) (-.f64 36 (.f64 x (*.f64 x -81)))))
(/.f64 (/.f64 (-.f64 1296 (.f64 6561 (pow.f64 x 4))) (-.f64 -6 (.f64 x -9))) (-.f64 36 (.f64 x (.f64 x -81))))
(/.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) (.f64 (-.f64 36 (.f64 x (.f64 x -81))) (-.f64 -6 (*.f64 x -9))))
(/.f64 (-.f64 36 (.f64 (.f64 x -9) (.f64 x -9))) (-.f64 -6 (.f64 x -9)))
(/.f64 (-.f64 36 (.f64 81 (.f64 x x))) (-.f64 -6 (*.f64 x -9)))
(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (-.f64 -6 (*.f64 x -9)))
(/.f64 (-.f64 46656 (.f64 (.f64 729 (pow.f64 x 3)) (.f64 729 (pow.f64 x 3)))) (.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (+.f64 -216 (.f64 729 (pow.f64 x 3)))))
(/.f64 (-.f64 46656 (.f64 531441 (.f64 (pow.f64 x 3) (pow.f64 x 3)))) (.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54))) (+.f64 -216 (.f64 (pow.f64 x 3) 729))))
(/.f64 (-.f64 46656 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 531441))) (.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54))) (+.f64 -216 (.f64 (pow.f64 x 3) 729))))
(/.f64 (+.f64 -216 (pow.f64 (.f64 x -9) 3)) (+.f64 36 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) (.f64 -6 (.f64 x -9)))))
(/.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3))) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729)) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (+.f64 -216 (pow.f64 (.f64 x -9) 3)) (.f64 1 (+.f64 36 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) (.f64 -6 (*.f64 x -9))))))
(/.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3))) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729)) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (-.f64 -10077696 (pow.f64 (.f64 729 (pow.f64 x 3)) 3)) (.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))) (+.f64 46656 (+.f64 (.f64 (.f64 729 (pow.f64 x 3)) (.f64 729 (pow.f64 x 3))) (.f64 -216 (.f64 729 (pow.f64 x 3)))))))
(/.f64 (-.f64 -10077696 (.f64 387420489 (pow.f64 (pow.f64 x 3) 3))) (.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54))) (+.f64 46656 (.f64 (.f64 (pow.f64 x 3) 729) (+.f64 -216 (*.f64 (pow.f64 x 3) 729))))))
(/.f64 (/.f64 (-.f64 -10077696 (.f64 387420489 (pow.f64 (pow.f64 x 3) 3))) (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54)))) (+.f64 46656 (.f64 (.f64 (pow.f64 x 3) 729) (+.f64 -216 (.f64 (pow.f64 x 3) 729)))))
(/.f64 (-.f64 46656 (pow.f64 (.f64 81 (.f64 x x)) 3)) (.f64 (-.f64 -6 (.f64 x -9)) (+.f64 1296 (+.f64 (.f64 (.f64 81 (.f64 x x)) (.f64 81 (.f64 x x))) (.f64 36 (.f64 81 (.f64 x x)))))))
(/.f64 (-.f64 46656 (pow.f64 (.f64 81 (.f64 x x)) 3)) (.f64 (-.f64 -6 (.f64 x -9)) (+.f64 1296 (+.f64 (.f64 6561 (pow.f64 x 4)) (.f64 2916 (*.f64 x x))))))
(/.f64 (-.f64 46656 (.f64 531441 (pow.f64 (.f64 x x) 3))) (.f64 (-.f64 -6 (.f64 x -9)) (+.f64 (.f64 (.f64 x x) 2916) (+.f64 1296 (*.f64 (pow.f64 x 4) 6561)))))
(/.f64 (/.f64 (+.f64 36 (.f64 x (.f64 x -81))) 1) (-.f64 -6 (*.f64 x -9)))
(/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (-.f64 -6 (*.f64 x -9)))
(/.f64 (/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (sqrt.f64 (-.f64 -6 (.f64 x -9)))) (sqrt.f64 (-.f64 -6 (.f64 x -9))))
(/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (.f64 (sqrt.f64 (-.f64 -6 (.f64 x -9))) (sqrt.f64 (-.f64 -6 (*.f64 x -9)))))
(/.f64 (/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (.f64 (cbrt.f64 (-.f64 -6 (.f64 x -9))) (cbrt.f64 (-.f64 -6 (.f64 x -9))))) (cbrt.f64 (-.f64 -6 (.f64 x -9))))
(/.f64 (+.f64 36 (.f64 x (.f64 x -81))) (.f64 (cbrt.f64 (-.f64 -6 (.f64 x -9))) (.f64 (cbrt.f64 (-.f64 -6 (.f64 x -9))) (cbrt.f64 (-.f64 -6 (*.f64 x -9))))))
(/.f64 (/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) 1) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))
(/.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3))) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729)) (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54))))
(/.f64 (/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (sqrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x))))) (sqrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x)))))
(/.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3))) (.f64 (sqrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54)))) (sqrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54))))))
(/.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729)) (.f64 (sqrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54)))) (sqrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54))))))
(/.f64 (/.f64 (-.f64 -216 (.f64 729 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))) (cbrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))) (cbrt.f64 (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x)))))
(/.f64 (+.f64 -216 (.f64 -729 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54)))) (.f64 (cbrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54)))) (cbrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (*.f64 x -54)))))))
(/.f64 (/.f64 (+.f64 -216 (.f64 (pow.f64 x 3) -729)) (cbrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54))))) (.f64 (cbrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54)))) (cbrt.f64 (+.f64 36 (fma.f64 81 (.f64 x x) (.f64 x -54))))))
(pow.f64 (+.f64 -6 (*.f64 x -9)) 1)
(fma.f64 x -9 -6)
(pow.f64 (sqrt.f64 (+.f64 -6 (*.f64 x -9))) 2)
(fma.f64 x -9 -6)
(pow.f64 (cbrt.f64 (+.f64 -6 (*.f64 x -9))) 3)
(fma.f64 x -9 -6)
(pow.f64 (pow.f64 (+.f64 -6 (*.f64 x -9)) 3) 1/3)
(fma.f64 x -9 -6)
(sqrt.f64 (pow.f64 (+.f64 -6 (*.f64 x -9)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -9 -6) 2))
(log.f64 (exp.f64 (+.f64 -6 (*.f64 x -9))))
(fma.f64 x -9 -6)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -6 (*.f64 x -9)))))
(fma.f64 x -9 -6)
(cbrt.f64 (pow.f64 (+.f64 -6 (*.f64 x -9)) 3))
(fma.f64 x -9 -6)
(expm1.f64 (log.f64 (+.f64 -5 (*.f64 x -9))))
(expm1.f64 (log.f64 (+.f64 (*.f64 x -9) -5)))
(exp.f64 (log.f64 (+.f64 -6 (*.f64 x -9))))
(fma.f64 x -9 -6)
(exp.f64 (.f64 (log.f64 (+.f64 -6 (.f64 x -9))) 1))
(fma.f64 x -9 -6)
(log1p.f64 (expm1.f64 (+.f64 -6 (*.f64 x -9))))
(fma.f64 x -9 -6)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 x 1/6)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 x 1/6)
0.0ms	x	@	-inf	(/.f64 x 1/6)
0.0ms	x	@	0	(/.f64 x 1/6)

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`add-sqr-sqrt`
988×	`*-un-lft-identity`
944×	`pow1`
938×	`add-cube-cbrt`
930×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1259	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(/.f64 x 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 6)) (pow.f64 (cbrt.f64 (*.f64 x 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/6 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 6)))))))

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1450×	`distribute-rgt-in`
1438×	`distribute-lft-in`
1262×	`associate-r`
1016×	`associate-l`
840×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	255
1	130	255
2	497	249
3	3213	249

Stop Event

1×	node limit

Counts

35 → 25

Calls

Call 1

Inputs
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(-.f64 (+.f64 1 (*.f64 x 6)) 1)
(*.f64 x 6)
(.f64 (.f64 x 6) 1)
(.f64 1 (.f64 x 6))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6))
(.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (*.f64 x 6)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 6))
(.f64 (cbrt.f64 (.f64 x 6)) (pow.f64 (cbrt.f64 (*.f64 x 6)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)))
(*.f64 6 x)
(*.f64 (neg.f64 x) -6)
(pow.f64 (*.f64 x 6) 1)
(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)
(pow.f64 (pow.f64 (*.f64 x 6) 3) 1/3)
(pow.f64 (/.f64 1/6 x) -1)
(neg.f64 (/.f64 x -1/6))
(sqrt.f64 (.f64 (.f64 x x) 36))
(log.f64 (pow.f64 (exp.f64 x) 6))
(cbrt.f64 (pow.f64 (*.f64 x 6) 3))
(expm1.f64 (log1p.f64 (*.f64 x 6)))
(exp.f64 (log.f64 (*.f64 x 6)))
(log1p.f64 (expm1.f64 (*.f64 x 6)))

Outputs
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(-.f64 (+.f64 1 (*.f64 x 6)) 1)
(*.f64 6 x)
(*.f64 x 6)
(*.f64 6 x)
(.f64 (.f64 x 6) 1)
(*.f64 6 x)
(.f64 1 (.f64 x 6))
(*.f64 6 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6))
(*.f64 6 x)
(.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (*.f64 x 6)))
(*.f64 6 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 6))
(*.f64 6 x)
(.f64 (cbrt.f64 (.f64 x 6)) (pow.f64 (cbrt.f64 (*.f64 x 6)) 2))
(*.f64 6 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)))
(*.f64 6 x)
(*.f64 6 x)
(*.f64 (neg.f64 x) -6)
(*.f64 6 x)
(pow.f64 (*.f64 x 6) 1)
(*.f64 6 x)
(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
(*.f64 6 x)
(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)
(*.f64 6 x)
(pow.f64 (pow.f64 (*.f64 x 6) 3) 1/3)
(*.f64 6 x)
(pow.f64 (/.f64 1/6 x) -1)
(*.f64 6 x)
(neg.f64 (/.f64 x -1/6))
(*.f64 6 x)
(sqrt.f64 (.f64 (.f64 x x) 36))
(sqrt.f64 (.f64 x (.f64 x 36)))
(fabs.f64 (*.f64 6 x))
(log.f64 (pow.f64 (exp.f64 x) 6))
(*.f64 6 x)
(cbrt.f64 (pow.f64 (*.f64 x 6) 3))
(*.f64 6 x)
(expm1.f64 (log1p.f64 (*.f64 x 6)))
(*.f64 6 x)
(exp.f64 (log.f64 (*.f64 x 6)))
(*.f64 6 x)
(log1p.f64 (expm1.f64 (*.f64 x 6)))
(*.f64 6 x)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 -1/9 x))
✓	0.3b	(/.f64 -1/9 x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 -1/9 x)
0.0ms	x	@	-inf	(/.f64 -1/9 x)
0.0ms	x	@	inf	(/.f64 -1/9 x)
0.0ms	x	@	0	(/.f64 x (/.f64 -1/9 x))
0.0ms	x	@	inf	(/.f64 x (/.f64 -1/9 x))

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`add-sqr-sqrt`
1350×	`*-un-lft-identity`
1276×	`add-cube-cbrt`
1262×	`add-cbrt-cube`
1250×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	133	20
2	1742	20

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(/.f64 -1/9 x)
(/.f64 x (/.f64 -1/9 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/9 x)) (sqrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/9 x)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/9 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x -9))) (sqrt.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) 2) (cbrt.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -9) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -9) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -9) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -9) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 -1/9 x))) (/.f64 x (sqrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1/9) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) -1/9) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1/9) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1/9 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (cbrt.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x -9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -9))))))))

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-*r/`
1038×	`unswap-sqr`
998×	`associate-*l/`
854×	`associate-/l*`
744×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1102
1	336	982
2	1603	862

Stop Event

1×	node limit

Counts

72 → 67

Calls

Call 1

Inputs
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) 1)
(*.f64 -1/9 (/.f64 1 x))
(*.f64 (/.f64 -1/9 x) 1)
(*.f64 1 (/.f64 -1/9 x))
(*.f64 (sqrt.f64 (/.f64 -1/9 x)) (sqrt.f64 (/.f64 -1/9 x)))
(*.f64 (cbrt.f64 (/.f64 -1/9 x)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 (/.f64 -1/9 x)))
(*.f64 (/.f64 1 x) -1/9)
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(pow.f64 (/.f64 -1/9 x) 1)
(pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
(pow.f64 (pow.f64 (/.f64 -1/9 x) 3) 1/3)
(pow.f64 (*.f64 x -9) -1)
(sqrt.f64 (/.f64 1/81 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 -1/9 x)))
(cbrt.f64 (pow.f64 (/.f64 -1/9 x) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 x)))
(exp.f64 (log.f64 (/.f64 -1/9 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (.f64 x (.f64 x -9))) 1)
(.f64 x (.f64 x -9))
(.f64 (.f64 x (*.f64 x -9)) 1)
(.f64 1 (.f64 x (*.f64 x -9)))
(.f64 (sqrt.f64 (.f64 x (.f64 x -9))) (sqrt.f64 (.f64 x (*.f64 x -9))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x -9)))
(.f64 (cbrt.f64 (.f64 x (.f64 x -9))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x -9))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 2) (cbrt.f64 (.f64 x (*.f64 x -9))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x -9)))
(.f64 (.f64 x -9) x)
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1/9 x)))
(.f64 (.f64 (*.f64 x -9) 1) x)
(.f64 (.f64 (*.f64 x -9) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 x -9) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (/.f64 x 1) (.f64 x -9))
(*.f64 -9 (/.f64 x (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1/9 x))) (/.f64 x (sqrt.f64 (/.f64 -1/9 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 -1/9 x))))
(*.f64 (/.f64 x 1/9) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) -1/9) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 -1/9 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 -1/9 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1/9) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 -1/9 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1/9 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1/9 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (cbrt.f64 (.f64 x (*.f64 x -9))))
(pow.f64 (.f64 x (.f64 x -9)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 x -9))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x -9)) 3) 1/3)
(pow.f64 (/.f64 -1/9 (*.f64 x x)) -1)
(neg.f64 (/.f64 x (/.f64 1/9 x)))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x -9)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -9)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -9)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -9))))
(exp.f64 (log.f64 (.f64 x (.f64 x -9))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -9))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -9))))

Outputs
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) 1)
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(*.f64 (/.f64 -1/9 x) 1)
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(*.f64 1 (/.f64 -1/9 x))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(*.f64 (sqrt.f64 (/.f64 -1/9 x)) (sqrt.f64 (/.f64 -1/9 x)))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(*.f64 (cbrt.f64 (/.f64 -1/9 x)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 (/.f64 -1/9 x)))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(pow.f64 (/.f64 -1/9 x) 1)
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 2)
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(pow.f64 (pow.f64 (/.f64 -1/9 x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(pow.f64 (*.f64 x -9) -1)
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(sqrt.f64 (/.f64 1/81 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 -1/9 x)))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(cbrt.f64 (pow.f64 (/.f64 -1/9 x) 3))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(expm1.f64 (log1p.f64 (/.f64 -1/9 x)))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(exp.f64 (log.f64 (/.f64 -1/9 x)))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 x)) 1))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(log1p.f64 (expm1.f64 (/.f64 -1/9 x)))
(+.f64 1 (-.f64 (/.f64 -1/9 x) 1))
(+.f64 (/.f64 -1/9 x) 0)
(/.f64 -1/9 x)
(-.f64 (+.f64 1 (.f64 x (.f64 x -9))) 1)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(.f64 -9 (.f64 x x))
(.f64 (.f64 x (*.f64 x -9)) 1)
(.f64 -9 (.f64 x x))
(.f64 1 (.f64 x (*.f64 x -9)))
(.f64 -9 (.f64 x x))
(.f64 (sqrt.f64 (.f64 x (.f64 x -9))) (sqrt.f64 (.f64 x (*.f64 x -9))))
(.f64 -9 (.f64 x x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x -9)))
(.f64 -9 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x (.f64 x -9))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x -9))) 2))
(.f64 -9 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 2) (cbrt.f64 (.f64 x (*.f64 x -9))))
(.f64 -9 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x -9)))
(.f64 -9 (.f64 x x))
(.f64 (.f64 x -9) x)
(.f64 -9 (.f64 x x))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1/9 x)))
(.f64 -9 (.f64 x x))
(.f64 (.f64 (*.f64 x -9) 1) x)
(.f64 -9 (.f64 x x))
(.f64 (.f64 (*.f64 x -9) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 -9 (.f64 x x))
(.f64 (.f64 (*.f64 x -9) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 -9 (.f64 x x))
(.f64 (/.f64 x 1) (.f64 x -9))
(.f64 -9 (.f64 x x))
(*.f64 -9 (/.f64 x (/.f64 1 x)))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1/9 x))) (/.f64 x (sqrt.f64 (/.f64 -1/9 x))))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 -1/9 x))))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 x 1/9) (neg.f64 x))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) -1/9) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 -1/9 x)))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 -1/9 x))))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1/9) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 -1/9 x)))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1/9 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1/9 x))))
(.f64 -9 (.f64 x x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (cbrt.f64 (.f64 x (*.f64 x -9))))
(.f64 (cbrt.f64 (.f64 -9 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 -9 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))
(pow.f64 (.f64 x (.f64 x -9)) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x -9))) 2)
(.f64 -9 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 3)
(.f64 -9 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x -9)) 3) 1/3)
(.f64 -9 (.f64 x x))
(pow.f64 (/.f64 -1/9 (*.f64 x x)) -1)
(.f64 -9 (.f64 x x))
(neg.f64 (/.f64 x (/.f64 1/9 x)))
(.f64 -9 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x -9)) 2))
(.f64 -9 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -9)))
(.f64 -9 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -9)) 3))
(.f64 -9 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -9))))
(.f64 -9 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x -9))))
(.f64 -9 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -9))) 1))
(.f64 -9 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -9))))
(.f64 -9 (.f64 x x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 6 (*.f64 9 x))
✓	0.2b	(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))
0.0ms	x	@	inf	(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))
0.0ms	x	@	-inf	(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))

rewrite81.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`associate-*r/`
1096×	`associate-/r*`
1018×	`associate-/l*`
980×	`*-commutative`
898×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	219	21
2	2793	21

Stop Event

1×	node limit

Counts

1 → 88

Calls

Call 1

Inputs
(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) 6) (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) (neg.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) 6) (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) (*.f64 9 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) 6) (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) 6) (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) (*.f64 (*.f64 x 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) 6) (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) (*.f64 (*.f64 (sqrt.f64 x) 3) (neg.f64 (*.f64 (sqrt.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) 6) (*.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) (*.f64 (cbrt.f64 (*.f64 x 9)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)) 36)) 36) (*.f64 (/.f64 x (/.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)) 36)) (-.f64 (*.f64 (*.f64 x x) 81) (*.f64 x 54))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)) 36)) (-.f64 (*.f64 (*.f64 x x) 81) (*.f64 x 54))) (*.f64 (/.f64 x (/.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)) 36)) 36))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 36 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 36 (/.f64 x (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 36) (/.f64 1 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 36 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) 1/6) (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))) (sqrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) (/.f64 (cbrt.f64 (*.f64 x 36)) (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 2)) (cbrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6 (*.f64 x -9)) (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 9 6)) (*.f64 x 36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 x 54))) (/.f64 x (/.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -36) (/.f64 -1 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 9 6)) 36)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 x) 1/6) (fma.f64 x 9 6)) (*.f64 6 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 x) 1/6) (fma.f64 x 9 6)) (/.f64 (sqrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 36)) (fma.f64 x 9 6)) (pow.f64 (cbrt.f64 (*.f64 x 36)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 36)) (fma.f64 x 9 6)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 6))) (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x 9 6)) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1/36) (/.f64 1 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)) (/.f64 1 (sqrt.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 36 (fma.f64 x 9 6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 36 (fma.f64 x 9 6)) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 36 (sqrt.f64 (fma.f64 x 9 6))) (/.f64 x (sqrt.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 36 (cbrt.f64 (fma.f64 x 9 6))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x 9 6)) 36)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 36 (*.f64 (*.f64 x x) 81))) (*.f64 (*.f64 x 36) (+.f64 6 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 216 (*.f64 (pow.f64 x 3) 729))) (*.f64 (*.f64 x 36) (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) 36)) (+.f64 6 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)) 36)) (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 x 54))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x 9 6)) (*.f64 x -36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 36 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 6))) (/.f64 36 (sqrt.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 36 (cbrt.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 36 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (fma.f64 x 9 6))) (/.f64 36 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1/6) (/.f64 (/.f64 (sqrt.f64 x) 1/6) (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (sqrt.f64 x))) (/.f64 (/.f64 (sqrt.f64 x) 1/6) (cbrt.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 x) 1/6) (cbrt.f64 (fma.f64 x 9 6))) (/.f64 6 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 36)) (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (cbrt.f64 (*.f64 x 36)) (sqrt.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 36)) (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) (sqrt.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (cbrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1/36) 1) (/.f64 1 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 36 (*.f64 (*.f64 x x) 81))) (+.f64 216 (*.f64 36 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 216 (*.f64 (pow.f64 x 3) 729))) (*.f64 36 (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 (fma.f64 x 9 6) 1/36)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) (fma.f64 x 9 6)) (cbrt.f64 (*.f64 x 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 36) (neg.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)))) (neg.f64 (+.f64 6 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 36) (neg.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -6 (*.f64 x 9))) -36)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 36) (-.f64 (*.f64 (*.f64 x x) 81) 36)) (-.f64 (*.f64 x 9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 x 9 6) (pow.f64 (cbrt.f64 (*.f64 x 36)) 2))) (cbrt.f64 (*.f64 x 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (fma.f64 x 9 6) 1/36)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -36) (neg.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)))) (+.f64 6 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -36) (neg.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)))) (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 x 54))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1/36) (neg.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)))) (neg.f64 (+.f64 6 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1/36) (neg.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1/36) (-.f64 (*.f64 (*.f64 x x) 81) 36)) (-.f64 (*.f64 x 9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)) (sqrt.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)))) (sqrt.f64 (+.f64 6 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)) (sqrt.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 36 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) x)) (cbrt.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)))) (cbrt.f64 (+.f64 6 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 36 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) x)) (cbrt.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 9 6) (/.f64 1/36 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (-.f64 -6 (*.f64 x 9)) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))))))

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1016×	`times-frac`
938×	`associate-/r*`
816×	`distribute-lft-in`
786×	`distribute-rgt-in`
652×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	4004
1	831	3596
2	3138	3568

Stop Event

1×	node limit

Counts

100 → 150

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (*.f64 -9 (pow.f64 x 2))))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (+.f64 (.f64 -81/4 (pow.f64 x 4)) (.f64 -9 (pow.f64 x 2)))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (neg.f64 (*.f64 x 9))))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (*.f64 9 (neg.f64 x))))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (*.f64 x -9)))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (.f64 (.f64 x 9) -1)))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (.f64 (.f64 (sqrt.f64 x) 3) (neg.f64 (*.f64 (sqrt.f64 x) 3)))))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (.f64 (cbrt.f64 (.f64 x 9)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)))))
(+.f64 (.f64 (/.f64 x (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) 36)) 36) (.f64 (/.f64 x (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) 36)) (-.f64 (.f64 (.f64 x x) 81) (*.f64 x 54))))
(+.f64 (.f64 (/.f64 x (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) 36)) (-.f64 (.f64 (.f64 x x) 81) (.f64 x 54))) (.f64 (/.f64 x (/.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)) 36)) 36))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))))) 1)
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(*.f64 36 (/.f64 x (fma.f64 x 9 6)))
(.f64 (.f64 x 36) (/.f64 1 (fma.f64 x 9 6)))
(.f64 (.f64 x (/.f64 36 (fma.f64 x 9 6))) 1)
(.f64 1 (.f64 x (/.f64 36 (fma.f64 x 9 6))))
(.f64 (.f64 6 (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) 1/6) (fma.f64 x 9 6)))
(.f64 (sqrt.f64 (.f64 x (/.f64 36 (fma.f64 x 9 6)))) (sqrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 36)) 2) (/.f64 (cbrt.f64 (*.f64 x 36)) (fma.f64 x 9 6)))
(.f64 (cbrt.f64 (.f64 x (/.f64 36 (fma.f64 x 9 6)))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 2)))
(.f64 (cbrt.f64 (.f64 x (/.f64 36 (fma.f64 x 9 6)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 36 (fma.f64 x 9 6))) 2)) (cbrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(.f64 (+.f64 6 (.f64 x -9)) (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (.f64 x 36))
(.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 x 54))) (/.f64 x (/.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)) 36)))
(.f64 (.f64 x -36) (/.f64 -1 (fma.f64 x 9 6)))
(*.f64 (/.f64 x (fma.f64 x 9 6)) 36)
(.f64 (/.f64 (/.f64 (sqrt.f64 x) 1/6) (fma.f64 x 9 6)) (.f64 6 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) 1/6) (fma.f64 x 9 6)) (/.f64 (sqrt.f64 x) 1/6))
(.f64 (/.f64 (cbrt.f64 (.f64 x 36)) (fma.f64 x 9 6)) (pow.f64 (cbrt.f64 (*.f64 x 36)) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 x 36)) (fma.f64 x 9 6)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 6))) (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x 9 6)) 36)))
(*.f64 (/.f64 x 1/36) (/.f64 1 (fma.f64 x 9 6)))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)) (/.f64 1 (sqrt.f64 (fma.f64 x 9 6))))
(*.f64 (/.f64 36 (fma.f64 x 9 6)) x)
(*.f64 (/.f64 36 (fma.f64 x 9 6)) (/.f64 x 1))
(*.f64 (/.f64 36 (sqrt.f64 (fma.f64 x 9 6))) (/.f64 x (sqrt.f64 (fma.f64 x 9 6))))
(*.f64 (/.f64 36 (cbrt.f64 (fma.f64 x 9 6))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x 9 6)) 36)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))
(.f64 (/.f64 1 (-.f64 36 (.f64 (.f64 x x) 81))) (.f64 (.f64 x 36) (+.f64 6 (.f64 x -9))))
(.f64 (/.f64 1 (+.f64 216 (.f64 (pow.f64 x 3) 729))) (.f64 (.f64 x 36) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))
(.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (+.f64 6 (.f64 x -9)))
(.f64 (/.f64 x (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) 36)) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 x 54))))
(.f64 (/.f64 -1 (fma.f64 x 9 6)) (.f64 x -36))
(*.f64 (/.f64 x 1) (/.f64 36 (fma.f64 x 9 6)))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 6))) (/.f64 36 (sqrt.f64 (fma.f64 x 9 6))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 36 (cbrt.f64 (fma.f64 x 9 6))))
(*.f64 (/.f64 36 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 9 6))))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 x 9 6))) (/.f64 36 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1/6) (/.f64 (/.f64 (sqrt.f64 x) 1/6) (fma.f64 x 9 6)))
(*.f64 (/.f64 6 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (sqrt.f64 x))) (/.f64 (/.f64 (sqrt.f64 x) 1/6) (cbrt.f64 (fma.f64 x 9 6))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) 1/6) (cbrt.f64 (fma.f64 x 9 6))) (/.f64 6 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) (sqrt.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 36)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 36)) (fma.f64 x 9 6)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 36)) 2) (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (cbrt.f64 (*.f64 x 36)) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (cbrt.f64 (.f64 x 36)) (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 36)) 2) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 36)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (cbrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(*.f64 (/.f64 (/.f64 x 1/36) 1) (/.f64 1 (fma.f64 x 9 6)))
(.f64 (/.f64 x (-.f64 36 (.f64 (.f64 x x) 81))) (+.f64 216 (.f64 36 (*.f64 x -9))))
(.f64 (/.f64 x (+.f64 216 (.f64 (pow.f64 x 3) 729))) (.f64 36 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 x 54)))))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (fma.f64 x 9 6) 1/36)) (sqrt.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 36)) 2) (fma.f64 x 9 6)) (cbrt.f64 (*.f64 x 36)))
(.f64 (/.f64 (.f64 x 36) (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (neg.f64 (+.f64 6 (*.f64 x -9))))
(.f64 (/.f64 (.f64 x 36) (neg.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 x 54)))))
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36)
(.f64 (/.f64 (.f64 x 36) (-.f64 (.f64 (.f64 x x) 81) 36)) (-.f64 (*.f64 x 9) 6))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 9 6) (pow.f64 (cbrt.f64 (.f64 x 36)) 2))) (cbrt.f64 (*.f64 x 36)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x 9 6) 1/36)) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x -36) (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 (.f64 x -36) (neg.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 x 54))))
(.f64 (/.f64 (/.f64 x 1/36) (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (neg.f64 (+.f64 6 (.f64 x -9))))
(.f64 (/.f64 (/.f64 x 1/36) (neg.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))
(.f64 (/.f64 (/.f64 x 1/36) (-.f64 (.f64 (.f64 x x) 81) 36)) (-.f64 (.f64 x 9) 6))
(.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)) (sqrt.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (sqrt.f64 (+.f64 6 (.f64 x -9))))
(.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)) (sqrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))
(.f64 (/.f64 (/.f64 36 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) x)) (cbrt.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (cbrt.f64 (+.f64 6 (.f64 x -9))))
(.f64 (/.f64 (/.f64 36 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) x)) (cbrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))
(pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x 9 6) (/.f64 1/36 x)) -1)
(neg.f64 (/.f64 x (/.f64 (-.f64 -6 (*.f64 x 9)) 36)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 2))
(log.f64 (exp.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (*.f64 -9 (pow.f64 x 2))))
(fma.f64 6 x (fma.f64 27/2 (pow.f64 x 3) (.f64 -9 (.f64 x x))))
(+.f64 (.f64 27/2 (pow.f64 x 3)) (.f64 x (fma.f64 x -9 6)))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (+.f64 (.f64 -81/4 (pow.f64 x 4)) (.f64 -9 (pow.f64 x 2)))))
(fma.f64 6 x (fma.f64 27/2 (pow.f64 x 3) (fma.f64 -81/4 (pow.f64 x 4) (.f64 -9 (.f64 x x)))))
(+.f64 (fma.f64 27/2 (pow.f64 x 3) (.f64 -81/4 (pow.f64 x 4))) (.f64 x (fma.f64 x -9 6)))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 4 (/.f64 8/3 x))
(+.f64 4 (/.f64 -8/3 x))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(+.f64 4 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 8/3 x)))
(+.f64 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x)))
(+.f64 (+.f64 4 (/.f64 -8/3 x)) (/.f64 16/9 (*.f64 x x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 4 (/.f64 16/9 (*.f64 x x))) (+.f64 (/.f64 8/3 x) (/.f64 32/27 (pow.f64 x 3))))
(+.f64 4 (-.f64 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x)) (/.f64 32/27 (pow.f64 x 3))))
(+.f64 (/.f64 16/9 (*.f64 x x)) (-.f64 (+.f64 4 (/.f64 -8/3 x)) (/.f64 32/27 (pow.f64 x 3))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 4 (/.f64 8/3 x))
(+.f64 4 (/.f64 -8/3 x))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(+.f64 4 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 8/3 x)))
(+.f64 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x)))
(+.f64 (+.f64 4 (/.f64 -8/3 x)) (/.f64 16/9 (*.f64 x x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 4 (/.f64 16/9 (*.f64 x x))) (+.f64 (/.f64 8/3 x) (/.f64 32/27 (pow.f64 x 3))))
(+.f64 4 (-.f64 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x)) (/.f64 32/27 (pow.f64 x 3))))
(+.f64 (/.f64 16/9 (*.f64 x x)) (-.f64 (+.f64 4 (/.f64 -8/3 x)) (/.f64 32/27 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (neg.f64 (*.f64 x 9))))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (*.f64 9 (neg.f64 x))))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (*.f64 x -9)))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (.f64 (.f64 x 9) -1)))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (.f64 (.f64 (sqrt.f64 x) 3) (neg.f64 (*.f64 (sqrt.f64 x) 3)))))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) 6) (.f64 (/.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) 36)) (.f64 (cbrt.f64 (.f64 x 9)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)))))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(+.f64 (.f64 (/.f64 x (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) 36)) 36) (.f64 (/.f64 x (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) 36)) (-.f64 (.f64 (.f64 x x) 81) (*.f64 x 54))))
(.f64 (.f64 (/.f64 x (+.f64 216 (.f64 (pow.f64 x 3) 729))) 36) (+.f64 (-.f64 (.f64 x (.f64 x 81)) (.f64 x 54)) 36))
(.f64 36 (.f64 (+.f64 36 (.f64 x (-.f64 (.f64 x 81) 54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 36 (.f64 (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(+.f64 (.f64 (/.f64 x (/.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)) 36)) (-.f64 (.f64 (.f64 x x) 81) (.f64 x 54))) (.f64 (/.f64 x (/.f64 (+.f64 216 (*.f64 (pow.f64 x 3) 729)) 36)) 36))
(.f64 (.f64 (/.f64 x (+.f64 216 (.f64 (pow.f64 x 3) 729))) 36) (+.f64 (-.f64 (.f64 x (.f64 x 81)) (.f64 x 54)) 36))
(.f64 36 (.f64 (+.f64 36 (.f64 x (-.f64 (.f64 x 81) 54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 36 (.f64 (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))))) 1)
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 36)) 2) (fma.f64 x 9 6)) (cbrt.f64 (*.f64 x 36)))
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(.f64 (/.f64 (.f64 x 36) (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (neg.f64 (+.f64 6 (*.f64 x -9))))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(.f64 (/.f64 (.f64 x 36) (neg.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 x 54)))))
(.f64 (.f64 (/.f64 x (+.f64 216 (.f64 (pow.f64 x 3) 729))) 36) (+.f64 (-.f64 (.f64 x (.f64 x 81)) (.f64 x 54)) 36))
(.f64 36 (.f64 (+.f64 36 (.f64 x (-.f64 (.f64 x 81) 54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 36 (.f64 (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36)
(/.f64 (.f64 x -36) (+.f64 -6 (.f64 x -9)))
(/.f64 (neg.f64 x) (-.f64 -1/6 (/.f64 x 4)))
(/.f64 (neg.f64 x) (-.f64 -1/6 (*.f64 1/4 x)))
(.f64 (/.f64 (.f64 x 36) (-.f64 (.f64 (.f64 x x) 81) 36)) (-.f64 (*.f64 x 9) 6))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(.f64 (/.f64 1 (/.f64 (fma.f64 x 9 6) (pow.f64 (cbrt.f64 (.f64 x 36)) 2))) (cbrt.f64 (*.f64 x 36)))
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x 9 6) 1/36)) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x -36) (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (+.f64 6 (*.f64 x -9)))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(.f64 (/.f64 (.f64 x -36) (neg.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 x 54))))
(.f64 (.f64 (/.f64 x (+.f64 216 (.f64 (pow.f64 x 3) 729))) 36) (+.f64 (-.f64 (.f64 x (.f64 x 81)) (.f64 x 54)) 36))
(.f64 36 (.f64 (+.f64 36 (.f64 x (-.f64 (.f64 x 81) 54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 36 (.f64 (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 (/.f64 (/.f64 x 1/36) (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (neg.f64 (+.f64 6 (.f64 x -9))))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(.f64 (/.f64 (/.f64 x 1/36) (neg.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))
(.f64 (.f64 (/.f64 x (+.f64 216 (.f64 (pow.f64 x 3) 729))) 36) (+.f64 (-.f64 (.f64 x (.f64 x 81)) (.f64 x 54)) 36))
(.f64 36 (.f64 (+.f64 36 (.f64 x (-.f64 (.f64 x 81) 54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 36 (.f64 (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54))) (/.f64 x (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 (/.f64 (/.f64 x 1/36) (-.f64 (.f64 (.f64 x x) 81) 36)) (-.f64 (.f64 x 9) 6))
(.f64 (.f64 (/.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) 36) (+.f64 6 (*.f64 x -9)))
(.f64 (/.f64 x (-.f64 1 (/.f64 (.f64 x x) 4/9))) (fma.f64 x -9 6))
(.f64 (/.f64 x (+.f64 -1 (.f64 9/4 (*.f64 x x)))) (fma.f64 x 9 -6))
(.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)) (sqrt.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (sqrt.f64 (+.f64 6 (.f64 x -9))))
(.f64 (/.f64 x (.f64 (sqrt.f64 (-.f64 36 (.f64 x (.f64 x 81)))) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36))) (sqrt.f64 (+.f64 6 (*.f64 x -9))))
(.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (+.f64 36 (.f64 (.f64 x x) -81))) (sqrt.f64 (fma.f64 x 9 6))) 36)) (sqrt.f64 (fma.f64 x -9 6)))
(.f64 (.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 6))) (sqrt.f64 (+.f64 36 (.f64 x (.f64 x -81))))) 36) (sqrt.f64 (fma.f64 x -9 6)))
(.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)) (sqrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))
(.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729))) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36))) (sqrt.f64 (fma.f64 (.f64 x x) 81 (-.f64 36 (*.f64 x 54)))))
(/.f64 (/.f64 (.f64 x (sqrt.f64 (+.f64 36 (.f64 x (-.f64 (*.f64 x 81) 54))))) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 36)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 729 216)))
(.f64 (.f64 x (/.f64 36 (sqrt.f64 (fma.f64 x 9 6)))) (/.f64 (sqrt.f64 (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 729 216))))
(.f64 (/.f64 (/.f64 36 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) x)) (cbrt.f64 (-.f64 36 (.f64 (.f64 x x) 81)))) (cbrt.f64 (+.f64 6 (.f64 x -9))))
(.f64 (/.f64 (.f64 (/.f64 36 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) x) (cbrt.f64 (-.f64 36 (.f64 x (.f64 x 81))))) (cbrt.f64 (+.f64 6 (*.f64 x -9))))
(/.f64 (.f64 x (/.f64 36 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2))) (/.f64 (cbrt.f64 (+.f64 36 (.f64 (*.f64 x x) -81))) (cbrt.f64 (fma.f64 x -9 6))))
(/.f64 (.f64 (/.f64 (.f64 36 (cbrt.f64 (fma.f64 x -9 6))) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) x) (cbrt.f64 (+.f64 36 (.f64 x (.f64 x -81)))))
(.f64 (/.f64 (/.f64 36 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) x)) (cbrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (*.f64 x 54)))))
(.f64 (/.f64 (.f64 (/.f64 36 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) x) (cbrt.f64 (+.f64 216 (.f64 (pow.f64 x 3) 729)))) (cbrt.f64 (fma.f64 (.f64 x x) 81 (-.f64 36 (*.f64 x 54)))))
(.f64 (/.f64 36 (.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2) x) (cbrt.f64 (fma.f64 (pow.f64 x 3) 729 216)))) (cbrt.f64 (+.f64 36 (.f64 x (-.f64 (.f64 x 81) 54)))))
(.f64 (.f64 x (/.f64 36 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2))) (/.f64 (cbrt.f64 (+.f64 36 (.f64 x (+.f64 (.f64 x 81) -54)))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 729 216))))
(pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 1)
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))) 2)
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))) 3)
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(pow.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 3) 1/3)
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(pow.f64 (*.f64 (fma.f64 x 9 6) (/.f64 1/36 x)) -1)
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(neg.f64 (/.f64 x (/.f64 (-.f64 -6 (*.f64 x 9)) 36)))
(/.f64 (.f64 x -36) (+.f64 -6 (.f64 x -9)))
(/.f64 (neg.f64 x) (-.f64 -1/6 (/.f64 x 4)))
(/.f64 (neg.f64 x) (-.f64 -1/6 (*.f64 1/4 x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 36) (fma.f64 x 9 6)) 2))
(fabs.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))))
(fabs.f64 (/.f64 x (*.f64 (fma.f64 x 9 6) 1/36)))
(log.f64 (exp.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))))))
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6))) 3))
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(exp.f64 (log.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 36 (fma.f64 x 9 6)))))
(/.f64 (*.f64 x 36) (fma.f64 x 9 6))
(*.f64 x (/.f64 36 (fma.f64 x 9 6)))
(/.f64 x (*.f64 (fma.f64 x 9 6) 1/36))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x x) -81)
✓	0.2b	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x 1/6))
✓	0.3b	(*.f64 x 1/6)

Compiler

Compiled 34 to 20 computations (41.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 x 1/6)
0.0ms	x	@	-inf	(*.f64 x 1/6)
0.0ms	x	@	0	(*.f64 x 1/6)
0.0ms	x	@	0	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x 1/6))
0.0ms	x	@	inf	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x 1/6))

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`*-commutative`
730×	`unswap-sqr`
640×	`swap-sqr`
548×	`associate-*r/`
472×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	238	34
2	2908	34

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(*.f64 x 1/6)
(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x 1/6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/6) 36) (*.f64 (*.f64 x 1/6) (*.f64 x (*.f64 x -81))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/6) (*.f64 x (*.f64 x -81))) (*.f64 (*.f64 x 1/6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x 1/6) 36)) (*.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 x (*.f64 x -81)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 x (*.f64 x -81)))) (*.f64 1 (*.f64 (*.f64 x 1/6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x 1/6) 36) 1) (*.f64 (*.f64 (*.f64 x 1/6) (*.f64 x (*.f64 x -81))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x 1/6) (*.f64 x (*.f64 x -81))) 1) (*.f64 (*.f64 (*.f64 x 1/6) 36) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) (/.f64 1 (fma.f64 x (*.f64 x -81) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1296 (*.f64 (pow.f64 x 4) -6561)) (/.f64 (+.f64 36 (*.f64 (*.f64 x x) 81)) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 46656 (*.f64 -531441 (pow.f64 x 6))) (/.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x)))) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/6) (+.f64 1296 (*.f64 (pow.f64 x 4) -6561))) (+.f64 36 (*.f64 (*.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/6) (+.f64 46656 (*.f64 -531441 (pow.f64 x 6)))) (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (*.f64 x (+.f64 1296 (*.f64 (pow.f64 x 4) -6561)))) (+.f64 36 (*.f64 (*.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (*.f64 x (+.f64 46656 (*.f64 -531441 (pow.f64 x 6))))) (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/6) (-.f64 (*.f64 6561 (pow.f64 x 4)) 1296)) (-.f64 (*.f64 x (*.f64 x -81)) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/6) (+.f64 -1296 (neg.f64 (*.f64 (pow.f64 x 4) -6561)))) (+.f64 -36 (neg.f64 (*.f64 (*.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/6) (+.f64 -46656 (neg.f64 (*.f64 -531441 (pow.f64 x 6))))) (+.f64 -1296 (neg.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (*.f64 2916 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x 1/6) (+.f64 1296 (*.f64 (pow.f64 x 4) -6561)))) (+.f64 36 (*.f64 (*.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x 1/6) (+.f64 46656 (*.f64 -531441 (pow.f64 x 6))))) (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x 1/6) (sqrt.f64 (fma.f64 x (*.f64 x -81) 36))) (sqrt.f64 (+.f64 1296 (*.f64 (pow.f64 x 4) -6561)))) (sqrt.f64 (+.f64 36 (*.f64 (*.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x 1/6) (sqrt.f64 (fma.f64 x (*.f64 x -81) 36))) (sqrt.f64 (+.f64 46656 (*.f64 -531441 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -81) 36)) 2)) (cbrt.f64 (+.f64 1296 (*.f64 (pow.f64 x 4) -6561)))) (cbrt.f64 (+.f64 36 (*.f64 (*.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -81) 36)) 2)) (cbrt.f64 (+.f64 46656 (*.f64 -531441 (pow.f64 x 6))))) (cbrt.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 6561 (pow.f64 x 4)) 1296) (*.f64 x 1/6)) (-.f64 (*.f64 x (*.f64 x -81)) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1296 (neg.f64 (*.f64 (pow.f64 x 4) -6561))) (*.f64 x 1/6)) (+.f64 -36 (neg.f64 (*.f64 (*.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -46656 (neg.f64 (*.f64 -531441 (pow.f64 x 6)))) (*.f64 x 1/6)) (+.f64 -1296 (neg.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (*.f64 2916 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x 1/6) (+.f64 1296 (*.f64 (pow.f64 x 4) -6561))) 1) (+.f64 36 (*.f64 (*.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x 1/6) (+.f64 46656 (*.f64 -531441 (pow.f64 x 6)))) 1) (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1296 (*.f64 (pow.f64 x 4) -6561))) (*.f64 (*.f64 x 1/6) (sqrt.f64 (fma.f64 x (*.f64 x -81) 36)))) (sqrt.f64 (+.f64 36 (*.f64 (*.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 46656 (*.f64 -531441 (pow.f64 x 6)))) (*.f64 (*.f64 x 1/6) (sqrt.f64 (fma.f64 x (*.f64 x -81) 36)))) (sqrt.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 1296 (*.f64 (pow.f64 x 4) -6561))) 1/6) (+.f64 36 (*.f64 (*.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 46656 (*.f64 -531441 (pow.f64 x 6)))) 1/6) (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x 1/6) (+.f64 1296 (*.f64 (pow.f64 x 4) -6561))) 1) (+.f64 36 (*.f64 (*.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x 1/6) (+.f64 1296 (*.f64 (pow.f64 x 4) -6561))) (sqrt.f64 (+.f64 36 (*.f64 (*.f64 x x) 81)))) (sqrt.f64 (+.f64 36 (*.f64 (*.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x 1/6) (+.f64 1296 (*.f64 (pow.f64 x 4) -6561))) (*.f64 (cbrt.f64 (+.f64 36 (*.f64 (*.f64 x x) 81))) (cbrt.f64 (+.f64 36 (*.f64 (*.f64 x x) 81))))) (cbrt.f64 (+.f64 36 (*.f64 (*.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x 1/6) (+.f64 46656 (*.f64 -531441 (pow.f64 x 6)))) 1) (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x 1/6) (+.f64 46656 (*.f64 -531441 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x)))))) (sqrt.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x 1/6) (+.f64 46656 (*.f64 -531441 (pow.f64 x 6)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x))))) (cbrt.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x))))))) (cbrt.f64 (+.f64 (*.f64 6561 (pow.f64 x 4)) (+.f64 1296 (*.f64 2916 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -81) 36)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (fma.f64 x (*.f64 x -81) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 1/6) 3) (pow.f64 (fma.f64 x (*.f64 x -81) 36) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))))))))

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1638×	`distribute-lft-in`
1604×	`associate-*r/`
1538×	`associate-*l/`
1342×	`associate-/r/`
570×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	202	2968
1	576	2768
2	3169	2768

Stop Event

1×	node limit

Counts

86 → 95

Calls

Call 1

Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(*.f64 -27/2 (pow.f64 x 3))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(*.f64 -27/2 (pow.f64 x 3))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))
(cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(+.f64 (.f64 (.f64 x 1/6) 36) (.f64 (.f64 x 1/6) (.f64 x (.f64 x -81))))
(+.f64 (.f64 (.f64 x 1/6) (.f64 x (.f64 x -81))) (.f64 (.f64 x 1/6) 36))
(+.f64 (.f64 1 (.f64 (.f64 x 1/6) 36)) (.f64 1 (.f64 (.f64 x 1/6) (.f64 x (.f64 x -81)))))
(+.f64 (.f64 1 (.f64 (.f64 x 1/6) (.f64 x (.f64 x -81)))) (.f64 1 (.f64 (.f64 x 1/6) 36)))
(+.f64 (.f64 (.f64 (.f64 x 1/6) 36) 1) (.f64 (.f64 (.f64 x 1/6) (.f64 x (.f64 x -81))) 1))
(+.f64 (.f64 (.f64 (.f64 x 1/6) (.f64 x (.f64 x -81))) 1) (.f64 (.f64 (.f64 x 1/6) 36) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36))))) 1)
(/.f64 (.f64 x 1/6) (/.f64 1 (fma.f64 x (.f64 x -81) 36)))
(/.f64 (+.f64 1296 (.f64 (pow.f64 x 4) -6561)) (/.f64 (+.f64 36 (.f64 (.f64 x x) 81)) (.f64 x 1/6)))
(/.f64 (+.f64 46656 (.f64 -531441 (pow.f64 x 6))) (/.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x)))) (*.f64 x 1/6)))
(/.f64 (.f64 (.f64 x 1/6) (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) (+.f64 36 (.f64 (*.f64 x x) 81)))
(/.f64 (.f64 (.f64 x 1/6) (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x)))))
(/.f64 (.f64 1/6 (.f64 x (+.f64 1296 (.f64 (pow.f64 x 4) -6561)))) (+.f64 36 (.f64 (*.f64 x x) 81)))
(/.f64 (.f64 1/6 (.f64 x (+.f64 46656 (.f64 -531441 (pow.f64 x 6))))) (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x)))))
(/.f64 (.f64 (.f64 x 1/6) (-.f64 (.f64 6561 (pow.f64 x 4)) 1296)) (-.f64 (.f64 x (*.f64 x -81)) 36))
(/.f64 (.f64 (.f64 x 1/6) (+.f64 -1296 (neg.f64 (.f64 (pow.f64 x 4) -6561)))) (+.f64 -36 (neg.f64 (.f64 (*.f64 x x) 81))))
(/.f64 (.f64 (.f64 x 1/6) (+.f64 -46656 (neg.f64 (.f64 -531441 (pow.f64 x 6))))) (+.f64 -1296 (neg.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (.f64 2916 (.f64 x x))))))
(/.f64 (.f64 1 (.f64 (.f64 x 1/6) (+.f64 1296 (.f64 (pow.f64 x 4) -6561)))) (+.f64 36 (.f64 (.f64 x x) 81)))
(/.f64 (.f64 1 (.f64 (.f64 x 1/6) (+.f64 46656 (.f64 -531441 (pow.f64 x 6))))) (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (*.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 x 1/6) (sqrt.f64 (fma.f64 x (.f64 x -81) 36))) (sqrt.f64 (+.f64 1296 (.f64 (pow.f64 x 4) -6561)))) (sqrt.f64 (+.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (.f64 (.f64 (.f64 x 1/6) (sqrt.f64 (fma.f64 x (.f64 x -81) 36))) (sqrt.f64 (+.f64 46656 (.f64 -531441 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x))))))
(/.f64 (.f64 (.f64 (.f64 x 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -81) 36)) 2)) (cbrt.f64 (+.f64 1296 (.f64 (pow.f64 x 4) -6561)))) (cbrt.f64 (+.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (.f64 (.f64 (.f64 x 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -81) 36)) 2)) (cbrt.f64 (+.f64 46656 (.f64 -531441 (pow.f64 x 6))))) (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) 1296) (.f64 x 1/6)) (-.f64 (.f64 x (*.f64 x -81)) 36))
(/.f64 (.f64 (+.f64 -1296 (neg.f64 (.f64 (pow.f64 x 4) -6561))) (.f64 x 1/6)) (+.f64 -36 (neg.f64 (.f64 (*.f64 x x) 81))))
(/.f64 (.f64 (+.f64 -46656 (neg.f64 (.f64 -531441 (pow.f64 x 6)))) (.f64 x 1/6)) (+.f64 -1296 (neg.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (.f64 2916 (.f64 x x))))))
(/.f64 (.f64 (.f64 (.f64 x 1/6) (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) 1) (+.f64 36 (.f64 (.f64 x x) 81)))
(/.f64 (.f64 (.f64 (.f64 x 1/6) (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) 1) (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (*.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) (.f64 (.f64 x 1/6) (sqrt.f64 (fma.f64 x (.f64 x -81) 36)))) (sqrt.f64 (+.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (.f64 (sqrt.f64 (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) (.f64 (.f64 x 1/6) (sqrt.f64 (fma.f64 x (.f64 x -81) 36)))) (sqrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x))))))
(/.f64 (.f64 (.f64 x (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) 1/6) (+.f64 36 (.f64 (*.f64 x x) 81)))
(/.f64 (.f64 (.f64 x (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) 1/6) (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x)))))
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) 1) (+.f64 36 (.f64 (*.f64 x x) 81)))
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) (sqrt.f64 (+.f64 36 (.f64 (.f64 x x) 81)))) (sqrt.f64 (+.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) (.f64 (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) 81))) (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) 81))))) (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) 81))))
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) 1) (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x)))))
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x)))))) (sqrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (*.f64 x x))))))
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) (.f64 (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x))))) (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x))))))) (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (*.f64 x x))))))
(pow.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36))) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36))) 3) 1/3)
(sqrt.f64 (.f64 1/36 (pow.f64 (.f64 x (fma.f64 x (*.f64 x -81) 36)) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (fma.f64 x (*.f64 x -81) 36)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 1/6) 3) (pow.f64 (fma.f64 x (*.f64 x -81) 36) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))))
(exp.f64 (log.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))))

Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 -27/2 (pow.f64 x 3)))
(fma.f64 x 6 (*.f64 -27/2 (pow.f64 x 3)))
(fma.f64 -27/2 (pow.f64 x 3) (*.f64 x 6))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 -27/2 (pow.f64 x 3)))
(fma.f64 x 6 (*.f64 -27/2 (pow.f64 x 3)))
(fma.f64 -27/2 (pow.f64 x 3) (*.f64 x 6))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 -27/2 (pow.f64 x 3)))
(fma.f64 x 6 (*.f64 -27/2 (pow.f64 x 3)))
(fma.f64 -27/2 (pow.f64 x 3) (*.f64 x 6))
(*.f64 -27/2 (pow.f64 x 3))
(+.f64 (.f64 6 x) (.f64 -27/2 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 -27/2 (pow.f64 x 3)))
(fma.f64 x 6 (*.f64 -27/2 (pow.f64 x 3)))
(fma.f64 -27/2 (pow.f64 x 3) (*.f64 x 6))
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(.f64 (.f64 1/6 x) (/.f64 (fma.f64 (pow.f64 x 4) -6561 1296) (fma.f64 x (*.f64 x 81) 36)))
(/.f64 (.f64 (.f64 x (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) 1/6) (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x)))))
(.f64 (/.f64 (+.f64 46656 (.f64 -531441 (pow.f64 x 6))) (fma.f64 6561 (pow.f64 x 4) (+.f64 1296 (.f64 (.f64 x x) 2916)))) (*.f64 1/6 x))
(.f64 (.f64 1/6 x) (/.f64 (fma.f64 -531441 (pow.f64 x 6) 46656) (fma.f64 (pow.f64 x 4) 6561 (fma.f64 (*.f64 x x) 2916 1296))))
(.f64 (/.f64 (.f64 x (fma.f64 -531441 (pow.f64 x 6) 46656)) (fma.f64 (pow.f64 x 4) 6561 (fma.f64 (*.f64 x x) 2916 1296))) 1/6)
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) 1) (+.f64 36 (.f64 (*.f64 x x) 81)))
(/.f64 (+.f64 1296 (.f64 (pow.f64 x 4) -6561)) (/.f64 (+.f64 36 (.f64 x (.f64 x 81))) (.f64 1/6 x)))
(.f64 (.f64 1/6 x) (/.f64 (fma.f64 (pow.f64 x 4) -6561 1296) (fma.f64 x (*.f64 x 81) 36)))
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) (sqrt.f64 (+.f64 36 (.f64 (.f64 x x) 81)))) (sqrt.f64 (+.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (+.f64 1296 (.f64 (pow.f64 x 4) -6561)) (/.f64 (+.f64 36 (.f64 x (.f64 x 81))) (.f64 1/6 x)))
(.f64 (.f64 1/6 x) (/.f64 (fma.f64 (pow.f64 x 4) -6561 1296) (fma.f64 x (*.f64 x 81) 36)))
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 1296 (.f64 (pow.f64 x 4) -6561))) (.f64 (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) 81))) (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) 81))))) (cbrt.f64 (+.f64 36 (.f64 (.f64 x x) 81))))
(/.f64 (+.f64 1296 (.f64 (pow.f64 x 4) -6561)) (/.f64 (+.f64 36 (.f64 x (.f64 x 81))) (.f64 1/6 x)))
(.f64 (.f64 1/6 x) (/.f64 (fma.f64 (pow.f64 x 4) -6561 1296) (fma.f64 x (*.f64 x 81) 36)))
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) 1) (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x)))))
(.f64 (/.f64 (+.f64 46656 (.f64 -531441 (pow.f64 x 6))) (fma.f64 6561 (pow.f64 x 4) (+.f64 1296 (.f64 (.f64 x x) 2916)))) (*.f64 1/6 x))
(.f64 (.f64 1/6 x) (/.f64 (fma.f64 -531441 (pow.f64 x 6) 46656) (fma.f64 (pow.f64 x 4) 6561 (fma.f64 (*.f64 x x) 2916 1296))))
(.f64 (/.f64 (.f64 x (fma.f64 -531441 (pow.f64 x 6) 46656)) (fma.f64 (pow.f64 x 4) 6561 (fma.f64 (*.f64 x x) 2916 1296))) 1/6)
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x)))))) (sqrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (*.f64 x x))))))
(.f64 (/.f64 (+.f64 46656 (.f64 -531441 (pow.f64 x 6))) (fma.f64 6561 (pow.f64 x 4) (+.f64 1296 (.f64 (.f64 x x) 2916)))) (*.f64 1/6 x))
(.f64 (.f64 1/6 x) (/.f64 (fma.f64 -531441 (pow.f64 x 6) 46656) (fma.f64 (pow.f64 x 4) 6561 (fma.f64 (*.f64 x x) 2916 1296))))
(.f64 (/.f64 (.f64 x (fma.f64 -531441 (pow.f64 x 6) 46656)) (fma.f64 (pow.f64 x 4) 6561 (fma.f64 (*.f64 x x) 2916 1296))) 1/6)
(/.f64 (/.f64 (.f64 (.f64 x 1/6) (+.f64 46656 (.f64 -531441 (pow.f64 x 6)))) (.f64 (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x))))) (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (.f64 x x))))))) (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 1296 (.f64 2916 (*.f64 x x))))))
(.f64 (/.f64 (+.f64 46656 (.f64 -531441 (pow.f64 x 6))) (fma.f64 6561 (pow.f64 x 4) (+.f64 1296 (.f64 (.f64 x x) 2916)))) (*.f64 1/6 x))
(.f64 (.f64 1/6 x) (/.f64 (fma.f64 -531441 (pow.f64 x 6) 46656) (fma.f64 (pow.f64 x 4) 6561 (fma.f64 (*.f64 x x) 2916 1296))))
(.f64 (/.f64 (.f64 x (fma.f64 -531441 (pow.f64 x 6) 46656)) (fma.f64 (pow.f64 x 4) 6561 (fma.f64 (*.f64 x x) 2916 1296))) 1/6)
(pow.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36))) 1)
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(pow.f64 (sqrt.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))) 2)
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(pow.f64 (cbrt.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))) 3)
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(pow.f64 (pow.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36))) 3) 1/3)
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(sqrt.f64 (.f64 1/36 (pow.f64 (.f64 x (fma.f64 x (*.f64 x -81) 36)) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (fma.f64 x (*.f64 x -81) 36)))
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36))))))
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(cbrt.f64 (pow.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36))) 3))
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 1/6) 3) (pow.f64 (fma.f64 x (*.f64 x -81) 36) 3)))
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(expm1.f64 (log1p.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))))
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(exp.f64 (log.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))))
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))
(log1p.f64 (expm1.f64 (.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))))
(.f64 x (.f64 1/6 (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 1/6 x) (fma.f64 x (*.f64 x -81) 36))

eval677.0ms (8.6%)

Compiler: Compiled 21743 to 16374 computations (24.7% saved)

prune255.0ms (3.2%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	959	3	962
Fresh	0	0	0
Picked	0	1	1
Done	1	9	10
Total	960	13	973

Error

Counts

973 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	22.7b	(/.f64 (*.f64 x 36) 6)
✓	0.3b	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 x -3))))
✓	41.0b	(/.f64 x (/.f64 -1/9 x))
✓	22.8b	(/.f64 x 1/6)
✓	0.2b	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
✓	0.3b	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))
	22.5b	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36)
✓	23.0b	(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x 1/6))
✓	41.0b	(.f64 (.f64 -9 x) x)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	22.7b	(*.f64 x 6)
✓	41.0b	(.f64 -9 (.f64 x x))
	62.0b	4

Compiler

Compiled 102 to 77 computations (24.5% saved)

regimes38.0ms (0.5%)

Counts

27 → 1

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 (.f64 -9 x) x)
(/.f64 x (/.f64 -1/9 x))
(/.f64 (*.f64 x 36) 6)
(.f64 x (+.f64 6 (.f64 x -9)))
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36)
(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))
(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x 1/6))
(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 x -3))))
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x)))))
(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
(neg.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (/.f64 (-.f64 -6 (*.f64 x 9)) x)))
(/.f64 (.f64 x 3) (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (.f64 x x)) 4)))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (+.f64 36 (.f64 (.f64 x x) -81)))) (+.f64 6 (*.f64 9 x)))
(*.f64 x (fma.f64 x -9 6))
(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x (/.f64 1 (fma.f64 x 9 6))))
(/.f64 (.f64 (+.f64 216 (.f64 -729 (pow.f64 x 3))) x) (+.f64 36 (-.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))) 2)

Outputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))

Calls

2 calls:

19.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
13.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 282 to 198 computations (29.8% saved)

regimes28.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 (.f64 -9 x) x)
(/.f64 x (/.f64 -1/9 x))
(/.f64 (*.f64 x 36) 6)
(.f64 x (+.f64 6 (.f64 x -9)))
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36)
(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))
(.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (.f64 x 1/6))
(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 x -3))))
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (+.f64 36 (.f64 -81 (*.f64 x x)))))
(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
(neg.f64 (/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (/.f64 (-.f64 -6 (*.f64 x 9)) x)))
(/.f64 (.f64 x 3) (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 (.f64 -9 (.f64 x x)) 4)))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (+.f64 36 (.f64 (.f64 x x) -81)))) (+.f64 6 (*.f64 9 x)))
(*.f64 x (fma.f64 x -9 6))
(/.f64 (fma.f64 x -9 6) (/.f64 1 x))

Outputs
(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))

Calls

2 calls:

11.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
11.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 225 to 160 computations (28.9% saved)

regimes17.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 (.f64 -9 x) x)
(/.f64 x (/.f64 -1/9 x))
(/.f64 (*.f64 x 36) 6)
(.f64 x (+.f64 6 (.f64 x -9)))
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36)

Outputs
(.f64 x (+.f64 6 (.f64 x -9)))

Calls

2 calls:

8.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
6.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 74 to 54 computations (27% saved)

regimes19.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 (.f64 -9 x) x)
(/.f64 x (/.f64 -1/9 x))
(/.f64 (*.f64 x 36) 6)

Outputs
(.f64 (.f64 -9 x) x)
(*.f64 x 6)
(.f64 -9 (.f64 x x))

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
2.8b	3	`x`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch70.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.4412556280383485	201.0264050435946
50.0ms	-1472825198.6775508	-1.2463926016700305e-5

Results

67.0ms

288×

body

256

valid

Compiler

Compiled 230 to 173 computations (24.8% saved)

regimes12.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))

Outputs
(.f64 -9 (.f64 x x))
(*.f64 x 6)
(.f64 -9 (.f64 x x))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.8b	3	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.4412556280383485	201.0264050435946
16.0ms	-1472825198.6775508	-1.2463926016700305e-5

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 230 to 173 computations (24.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -39.3b remaining (-173.4%)

Threshold costs -39.3b (-173.4%)

Counts

3 → 1

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)

Outputs
(*.f64 x 6)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
22.7b	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
4×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	169
1	41	169

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -5854679515581645/9007199254740992) (.f64 (.f64 -9 x) x) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -5854679515581645/9007199254740992) (.f64 -9 (.f64 x x)) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(*.f64 x 6)
4

Outputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -5854679515581645/9007199254740992) (.f64 (.f64 -9 x) x) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -5854679515581645/9007199254740992) (.f64 x (.f64 x -9)) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -5854679515581645/9007199254740992) (.f64 -9 (.f64 x x)) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (or (<=.f64 x -5854679515581645/9007199254740992) (not (<=.f64 x 5944751508129055/9007199254740992))) (.f64 -9 (.f64 x x)) (*.f64 x 6))
(*.f64 x 6)
4

Compiler

Compiled 73 to 52 computations (28.8% saved)

soundness132.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def`
476×	`associate-r`
306×	`associate-+l+`
234×	`associate-+l-`
228×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	20	25
2	48	19
3	103	15
4	201	15
5	323	15
6	489	15
7	716	15
8	1316	15
9	1431	15
10	1734	15
11	2242	15
12	2349	15
13	2353	15
14	2353	15

Stop Event

1×

saturated

Compiler

Compiled 97 to 75 computations (22.7% saved)

end48.0ms (0.6%)

Compiler: Compiled 67 to 43 computations (35.8% saved)