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)

sample866.0ms (12.8%)

Results

748.0ms	7607×	body	256	valid
81.0ms	435×	body	1024	valid
27.0ms	214×	body	512	valid
1.0ms	8×	body	256	infinite

Bogosity

preprocess62.0ms (0.9%)

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)

simplify67.0ms (1%)

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 (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2 (*.f64 3 x))
✓	0.1b	(.f64 (-.f64 2 (.f64 3 x)) x)
✓	0.1b	(.f64 3 (.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
1.0ms	x	@	inf	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
0.0ms	x	@	-inf	(.f64 3 (.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 (-.f64 2 (.f64 3 x)) x)
0.0ms	x	@	0	(.f64 (-.f64 2 (.f64 3 x)) x)

rewrite68.0ms (1%)

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

Outputs
((#(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 (.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 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 (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 (*.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 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))))))))

simplify124.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1030×	`unswap-sqr`
1028×	`associate-/r*`
720×	`distribute-lft-in`
668×	`distribute-rgt-in`
626×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1864
1	391	1676
2	1593	1518
3	6423	1518

Stop Event

1×	node limit

Counts

98 → 94

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 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)))
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 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 (.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 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 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 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))
(*.f64 2 x)
(*.f64 x 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 (.f64 2 x) (.f64 -3 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -3 2))
(*.f64 -3 (pow.f64 x 2))
(.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 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))
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 (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 (.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 x (*.f64 x 9)))))
(.f64 (/.f64 (+.f64 4 (.f64 x (*.f64 x -9))) (fma.f64 x 3 2)) x)
(.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 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4)) x)
(*.f64 (fma.f64 (pow.f64 x 3) -27 8) (/.f64 x (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 x (*.f64 x 9)))))
(.f64 (/.f64 (+.f64 4 (.f64 x (*.f64 x -9))) (fma.f64 x 3 2)) x)
(.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 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -27 8) (fma.f64 (.f64 x -3) (fma.f64 x -3 -2) 4)) x)
(*.f64 (fma.f64 (pow.f64 x 3) -27 8) (/.f64 x (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 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 1 (/.f64 (+.f64 2 (.f64 x 3)) (-.f64 4 (.f64 x (*.f64 x 9)))))
(/.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 1 (/.f64 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.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 1 (/.f64 (+.f64 2 (.f64 x 3)) (-.f64 4 (.f64 x (*.f64 x 9)))))
(/.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 1 (/.f64 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.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 1 (/.f64 (+.f64 2 (.f64 x 3)) (-.f64 4 (.f64 x (*.f64 x 9)))))
(/.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 1 (/.f64 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.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 1 (/.f64 (+.f64 2 (.f64 x 3)) (-.f64 4 (.f64 x (*.f64 x 9)))))
(/.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 1 (/.f64 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.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 1 (/.f64 (+.f64 2 (.f64 x 3)) (-.f64 4 (.f64 x (*.f64 x 9)))))
(/.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 1 (/.f64 (+.f64 4 (fma.f64 (.f64 x x) 9 (.f64 6 x))) (-.f64 8 (*.f64 (pow.f64 x 3) 27))))
(/.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)

localize7.0ms (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))

rewrite65.0ms (1%)

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)))))

simplify69.0ms (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)

localize32.0ms (0.5%)

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 (0.8%)

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)))))))

simplify68.0ms (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)

localize11.0ms (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)

rewrite83.0ms (1.2%)

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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simplify159.0ms (2.4%)

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)

eval221.0ms (3.3%)

Compiler: Compiled 9374 to 7163 computations (23.6% saved)

prune109.0ms (1.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	513	11	524
Fresh	0	0	0
Picked	0	1	1
Done	2	1	3
Total	515	13	528

Error

Counts

528 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
	0.3b	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
	7.8b	(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (+.f64 6 (.f64 9 x)))
	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))
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
▶	39.0b	(.f64 (.f64 -9 x) x)
▶	0.3b	(.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (.f64 x -9) 6)))
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
▶	23.4b	(*.f64 x 6)
	39.1b	(.f64 3 (.f64 (*.f64 x -3) x))
	39.1b	(.f64 -9 (.f64 x x))

Compiler

Compiled 242 to 180 computations (25.6% saved)

localize7.0ms (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)))

rewrite80.0ms (1.2%)

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)))))))))

simplify60.0ms (0.9%)

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))

localize2.0ms (0%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.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)

rewrite50.0ms (0.7%)

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 (0.6%)

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))

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)

rewrite66.0ms (1%)

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))))))

simplify75.0ms (1.1%)

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))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 37 computations (35.1% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (.f64 x -9) 6)))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (*.f64 x -9) 6))
0.0ms	x	@	inf	(.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (.f64 x -9) 6)))
0.0ms	x	@	-inf	(.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (.f64 x -9) 6)))
0.0ms	x	@	inf	(.f64 81 (.f64 x x))

rewrite110.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`associate-/r/`
806×	`distribute-rgt-in`
742×	`distribute-lft-in`
694×	`associate-/l/`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	322	52
2	4315	52

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 81 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 81 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 6561))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 81 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 81 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 81 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 81 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 81 (.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.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 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (neg.f64 (/.f64 36 (fma.f64 x -9 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (.f64 1 (neg.f64 (/.f64 36 (fma.f64 x -9 -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (.f64 (/.f64 1 (fma.f64 x -9 -6)) -36))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (.f64 -36 (/.f64 1 (fma.f64 x -9 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 36 (fma.f64 x -9 -6))) (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 x -9 -6)) -36) (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-r`
1090×	`associate-l`
742×	`times-frac`
674×	`distribute-lft-in`
662×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	524	9458
1	1629	8362

Stop Event

1×	node limit

Counts

256 → 314

Calls

Call 1

Inputs
(*.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))
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))
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(+.f64 (.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) x) (.f64 (neg.f64 (/.f64 36 (fma.f64 x -9 -6))) x))
(+.f64 (.f64 (.f64 x -9) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (fma.f64 (.f64 81 x) x -36))) (.f64 6 (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (fma.f64 (*.f64 81 x) x -36))))
(+.f64 (.f64 6 (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (fma.f64 (.f64 81 x) x -36))) (.f64 (.f64 x -9) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (fma.f64 (*.f64 81 x) x -36))))
(+.f64 (.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (fma.f64 (.f64 81 x) x -36))) (.f64 (neg.f64 (/.f64 36 (fma.f64 x -9 -6))) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (fma.f64 (.f64 81 x) x -36))))
(+.f64 (.f64 (.f64 81 (.f64 x x)) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (+.f64 (.f64 -729 (pow.f64 x 3)) -216))) (.f64 (+.f64 36 (.f64 x -54)) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (+.f64 (*.f64 -729 (pow.f64 x 3)) -216))))
(+.f64 (.f64 (+.f64 36 (.f64 x -54)) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (+.f64 (.f64 -729 (pow.f64 x 3)) -216))) (.f64 (.f64 81 (.f64 x x)) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (+.f64 (*.f64 -729 (pow.f64 x 3)) -216))))
(+.f64 (.f64 (fma.f64 81 (.f64 x x) 36) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (+.f64 (.f64 -729 (pow.f64 x 3)) -216))) (.f64 (.f64 x -54) (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (+.f64 (.f64 -729 (pow.f64 x 3)) -216))))
(+.f64 (.f64 (.f64 x -9) (/.f64 x 1)) (*.f64 6 (/.f64 x 1)))
(+.f64 (.f64 6 (/.f64 x 1)) (.f64 (*.f64 x -9) (/.f64 x 1)))
(+.f64 (.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (/.f64 x 1)) (.f64 (neg.f64 (/.f64 36 (fma.f64 x -9 -6))) (/.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6)))) 1)
(/.f64 x (/.f64 1 (fma.f64 x -9 6)))
(/.f64 1 (/.f64 1 (*.f64 x (fma.f64 x -9 6))))
(/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (fma.f64 x -9 -6))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 6561) -1296)) (.f64 (fma.f64 x -9 -6) (fma.f64 81 (.f64 x x) 36)))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656)) (.f64 (fma.f64 x -9 -6) (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (*.f64 x x) 2916)))))
(/.f64 (.f64 x (-.f64 36 (.f64 81 (.f64 x x)))) (-.f64 6 (.f64 x -9)))
(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (-.f64 6 (.f64 x -9)))
(/.f64 (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (sqrt.f64 (fma.f64 x -9 -6))) (sqrt.f64 (fma.f64 x -9 -6)))
(/.f64 (/.f64 (.f64 x (fma.f64 (.f64 81 x) x -36)) (pow.f64 (cbrt.f64 (fma.f64 x -9 -6)) 2)) (cbrt.f64 (fma.f64 x -9 -6)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 81 x) x -36))) (-.f64 6 (*.f64 x -9)))
(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 (fma.f64 x -9 6)) x))
(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))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -9 6) 3) (pow.f64 x 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 (.f64 81 (.f64 x x)) -36)
(+.f64 -36 (.f64 81 (.f64 x x)))
(.f64 (fma.f64 (.f64 81 x) x -36) 1)
(.f64 1 (fma.f64 (.f64 81 x) x -36))
(.f64 (sqrt.f64 (fma.f64 (.f64 81 x) x -36)) (sqrt.f64 (fma.f64 (*.f64 81 x) x -36)))
(.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -36)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -36) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 81 x) x -36) 2)) (cbrt.f64 (fma.f64 (*.f64 81 x) x -36)))
(.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) -1296) (/.f64 1 (fma.f64 81 (*.f64 x x) 36)))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916)))))
(.f64 (/.f64 1 (fma.f64 81 (.f64 x x) 36)) (+.f64 (*.f64 (pow.f64 x 4) 6561) -1296))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916)))) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) -1296) (+.f64 (.f64 (pow.f64 x 4) 6561) -1296)) (fma.f64 (.f64 81 x) x -36))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) -1296) (+.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))) (+.f64 (.f64 (pow.f64 x 4) 6561) (-.f64 1296 (.f64 (*.f64 x x) 2916))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656) (-.f64 (.f64 (.f64 (pow.f64 x 4) 6561) (.f64 (pow.f64 x 4) 6561)) (.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (+.f64 1296 (.f64 (.f64 x x) 2916))))) (-.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 6561) 3) (pow.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 4) 6561) (.f64 (pow.f64 x 4) 6561)) (-.f64 (.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (+.f64 1296 (.f64 (.f64 x x) 2916))) (.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916))))))
(/.f64 (fma.f64 (*.f64 81 x) x -36) 1)
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 81 x) x -36)))
(/.f64 1 (/.f64 (fma.f64 81 (.f64 x x) 36) (+.f64 (.f64 (pow.f64 x 4) 6561) -1296)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916))) (+.f64 (.f64 (pow.f64 (*.f64 x x) 3) 531441) -46656)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) -1296) (fma.f64 81 (.f64 x x) 36))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656) (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (*.f64 x x) 2916))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656) (+.f64 (.f64 (pow.f64 x 4) 6561) (-.f64 1296 (.f64 (.f64 81 (.f64 x x)) -36))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656) (.f64 1 (+.f64 (.f64 (pow.f64 x 4) 6561) (-.f64 1296 (.f64 (.f64 81 (*.f64 x x)) -36)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) -1296)) (neg.f64 (fma.f64 81 (.f64 x x) 36)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) -1296)) (.f64 1 (neg.f64 (fma.f64 81 (*.f64 x x) 36))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (*.f64 x x) 2916)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656)) (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) (.f64 (pow.f64 (.f64 x x) 3) 531441)) 2176782336) (.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916))) (+.f64 46656 (.f64 (pow.f64 (*.f64 x x) 3) 531441))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) (.f64 (pow.f64 (.f64 x x) 3) 531441)) 2176782336) (.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (-.f64 1296 (.f64 (.f64 81 (.f64 x x)) -36))) (+.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) 6561) (.f64 (pow.f64 x 4) 6561)) 1679616) (.f64 (fma.f64 81 (.f64 x x) 36) (+.f64 (.f64 (pow.f64 x 4) 6561) 1296)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 3) 101559956668416) (.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) (.f64 (pow.f64 (.f64 x x) 3) 531441)) (+.f64 2176782336 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 46656)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 3) 101559956668416) (.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (-.f64 1296 (.f64 (.f64 81 (.f64 x x)) -36))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) (.f64 (pow.f64 (.f64 x x) 3) 531441)) (+.f64 2176782336 (.f64 (.f64 (pow.f64 (*.f64 x x) 3) 531441) 46656)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 6561) 3) 2176782336) (.f64 (fma.f64 81 (.f64 x x) 36) (+.f64 (.f64 (.f64 (pow.f64 x 4) 6561) (.f64 (pow.f64 x 4) 6561)) (+.f64 1679616 (.f64 (.f64 (pow.f64 x 4) 6561) 1296)))))
(pow.f64 (fma.f64 (*.f64 81 x) x -36) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -36)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -36)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -36) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -36) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 81 x) x -36)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 81 x) x -36))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -36) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 81 x) x -36)))
(exp.f64 (log.f64 (fma.f64 (*.f64 81 x) x -36)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 81 x) x -36)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 81 x) x -36)))
(fma.f64 81 (*.f64 x x) -36)
(fma.f64 (*.f64 x x) 81 -36)
(fma.f64 (.f64 x -9) (.f64 x -9) -36)
(fma.f64 1 (.f64 81 (.f64 x x)) -36)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 6561)) (pow.f64 (cbrt.f64 (.f64 x -9)) 2) -36)
(fma.f64 (*.f64 81 x) x -36)

Outputs
(*.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)
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 6 x)
(*.f64 x 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 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.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)))
(*.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 -9 (.f64 x x))
(.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))
-36
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x -9) 2)
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x -9) 2)
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(-.f64 (exp.f64 (log1p.f64 (.f64 81 (.f64 x x)))) 1)
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x -9) 2)
(pow.f64 (.f64 81 (.f64 x x)) 1)
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x -9) 2)
(pow.f64 (*.f64 x -9) 2)
(.f64 81 (.f64 x x))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -9)) 2) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441))
(cbrt.f64 (*.f64 (pow.f64 x 6) 531441))
(sqrt.f64 (*.f64 (pow.f64 x 4) 6561))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 81))
(*.f64 81 (log.f64 (pow.f64 (exp.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 81 (.f64 x x)))))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x -9) 2)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441))
(cbrt.f64 (*.f64 (pow.f64 x 6) 531441))
(expm1.f64 (log1p.f64 (.f64 81 (.f64 x x))))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x -9) 2)
(exp.f64 (log.f64 (.f64 81 (.f64 x x))))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x -9) 2)
(exp.f64 (.f64 (log.f64 (.f64 81 (*.f64 x x))) 1))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x -9) 2)
(log1p.f64 (expm1.f64 (.f64 81 (.f64 x x))))
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x -9) 2)
(+.f64 (*.f64 x -9) 6)
(fma.f64 x -9 6)
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)
(+.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (neg.f64 (/.f64 36 (fma.f64 x -9 -6))))
(+.f64 (/.f64 81 (/.f64 (fma.f64 x -9 -6) (*.f64 x x))) (/.f64 -36 (fma.f64 x -9 -6)))
(/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 x -9 -6))
(+.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (*.f64 1 (neg.f64 (/.f64 36 (fma.f64 x -9 -6)))))
(+.f64 (/.f64 81 (/.f64 (fma.f64 x -9 -6) (*.f64 x x))) (/.f64 -36 (fma.f64 x -9 -6)))
(/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 x -9 -6))
(+.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (*.f64 (/.f64 1 (fma.f64 x -9 -6)) -36))
(+.f64 (/.f64 81 (/.f64 (fma.f64 x -9 -6) (*.f64 x x))) (/.f64 -36 (fma.f64 x -9 -6)))
(/.f64 (fma.f64 81 (*.f64 x x) -36) (fma.f64 x -9 -6))
(+.f64 (/.f64 (.f64 81 (.f64 x x)) (fma.f64 x -9 -6)) (*.f64 -36 (/.f64 1 (fma.f64 x -9 -6))))
(+.f64 (/.f64 81 (/.f64 (fma.f64 x -9 -6) (*.f64 x x))) (/.f64 -36 (fma.f64 x -9 -6)))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 531441 -46656)) (neg.f64 (fma.f64 (pow.f64 x 4) 6561 (+.f64 1296 (.f64 x (*.f64 x 2916))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 6) 531441 -46656) (+.f64 (.f64 x (*.f64 x 2916)) (fma.f64 (pow.f64 x 4) 6561 1296))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) -46656)) (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 531441 -46656)) (neg.f64 (fma.f64 (pow.f64 x 4) 6561 (+.f64 1296 (.f64 x (*.f64 x 2916))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 6) 531441 -46656) (+.f64 (.f64 x (*.f64 x 2916)) (fma.f64 (pow.f64 x 4) 6561 1296))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) (.f64 (pow.f64 (.f64 x x) 3) 531441)) 2176782336) (.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916))) (+.f64 46656 (.f64 (pow.f64 (*.f64 x x) 3) 531441))))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 282429536481) -2176782336) (.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 46656) (fma.f64 (pow.f64 x 4) 6561 (+.f64 1296 (.f64 x (*.f64 x 2916))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 6) 282429536481) -2176782336) (.f64 (+.f64 (.f64 (pow.f64 x 6) 531441) 46656) (+.f64 (.f64 x (.f64 x 2916)) (fma.f64 (pow.f64 x 4) 6561 1296))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) (.f64 (pow.f64 (.f64 x x) 3) 531441)) 2176782336) (.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (-.f64 1296 (.f64 (.f64 81 (.f64 x x)) -36))) (+.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 282429536481) -2176782336) (.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 46656) (-.f64 (fma.f64 (pow.f64 x 4) 6561 1296) (.f64 81 (.f64 (.f64 x x) -36)))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 6) 282429536481) -2176782336) (.f64 (+.f64 (.f64 (pow.f64 x 6) 531441) 46656) (fma.f64 (pow.f64 x 4) 6561 (-.f64 1296 (.f64 (.f64 x x) -2916)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) 6561) (.f64 (pow.f64 x 4) 6561)) 1679616) (.f64 (fma.f64 81 (.f64 x x) 36) (+.f64 (.f64 (pow.f64 x 4) 6561) 1296)))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 43046721) -1679616) (.f64 (fma.f64 81 (.f64 x x) 36) (fma.f64 (pow.f64 x 4) 6561 1296)))
(/.f64 (+.f64 (.f64 (pow.f64 x 8) 43046721) -1679616) (.f64 (fma.f64 81 (*.f64 x x) 36) (fma.f64 (pow.f64 x 4) 6561 1296)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 3) 101559956668416) (.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 1296 (.f64 (.f64 x x) 2916))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) (.f64 (pow.f64 (.f64 x x) 3) 531441)) (+.f64 2176782336 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 46656)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) 150094635296999121) -101559956668416) (fma.f64 (pow.f64 x 4) 6561 (+.f64 1296 (.f64 x (.f64 x 2916))))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 282429536481) (+.f64 2176782336 (.f64 (pow.f64 (.f64 x x) 3) 24794911296))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 6) 3) 150094635296999121) -101559956668416) (+.f64 (.f64 x (.f64 x 2916)) (fma.f64 (pow.f64 x 4) 6561 1296))) (+.f64 (.f64 (pow.f64 (.f64 x x) 6) 282429536481) (+.f64 2176782336 (.f64 (pow.f64 x 6) 24794911296))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 3) 101559956668416) (.f64 (+.f64 (.f64 (pow.f64 x 4) 6561) (-.f64 1296 (.f64 (.f64 81 (.f64 x x)) -36))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) (.f64 (pow.f64 (.f64 x x) 3) 531441)) (+.f64 2176782336 (.f64 (.f64 (pow.f64 (*.f64 x x) 3) 531441) 46656)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) 150094635296999121) -101559956668416) (-.f64 (fma.f64 (pow.f64 x 4) 6561 1296) (.f64 81 (.f64 (.f64 x x) -36)))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 282429536481) (+.f64 2176782336 (.f64 (pow.f64 (*.f64 x x) 3) 24794911296))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 6) 3) 150094635296999121) -101559956668416) (fma.f64 (pow.f64 x 4) 6561 (-.f64 1296 (.f64 (.f64 x x) -2916)))) (+.f64 (.f64 (pow.f64 (.f64 x x) 6) 282429536481) (+.f64 2176782336 (.f64 (pow.f64 x 6) 24794911296))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 6561) 3) 2176782336) (.f64 (fma.f64 81 (.f64 x x) 36) (+.f64 (.f64 (.f64 (pow.f64 x 4) 6561) (.f64 (pow.f64 x 4) 6561)) (+.f64 1679616 (.f64 (.f64 (pow.f64 x 4) 6561) 1296)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 282429536481) -2176782336) (fma.f64 81 (.f64 x x) 36)) (+.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 43046721) (+.f64 1679616 (*.f64 (pow.f64 x 4) 8503056))))
(/.f64 (/.f64 (+.f64 (.f64 282429536481 (pow.f64 (pow.f64 x 4) 3)) -2176782336) (fma.f64 81 (.f64 x x) 36)) (+.f64 (.f64 (pow.f64 x 8) 43046721) (+.f64 1679616 (.f64 (pow.f64 x 4) 8503056))))
(pow.f64 (fma.f64 (*.f64 81 x) x -36) 1)
(fma.f64 81 (*.f64 x x) -36)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -36)) 2)
(fma.f64 81 (*.f64 x x) -36)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -36)) 3)
(fma.f64 81 (*.f64 x x) -36)
(pow.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -36) 3) 1/3)
(fma.f64 81 (*.f64 x x) -36)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -36) 2))
(sqrt.f64 (pow.f64 (fma.f64 81 (*.f64 x x) -36) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 81 x) x -36)))
(fma.f64 81 (*.f64 x x) -36)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 81 x) x -36))))
(fma.f64 81 (*.f64 x x) -36)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -36) 3))
(fma.f64 81 (*.f64 x x) -36)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 81 x) x -36)))
(fma.f64 81 (*.f64 x x) -36)
(exp.f64 (log.f64 (fma.f64 (*.f64 81 x) x -36)))
(fma.f64 81 (*.f64 x x) -36)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 81 x) x -36)) 1))
(fma.f64 81 (*.f64 x x) -36)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 81 x) x -36)))
(fma.f64 81 (*.f64 x x) -36)
(fma.f64 81 (*.f64 x x) -36)
(fma.f64 (*.f64 x x) 81 -36)
(fma.f64 81 (*.f64 x x) -36)
(fma.f64 (.f64 x -9) (.f64 x -9) -36)
(fma.f64 81 (*.f64 x x) -36)
(fma.f64 1 (.f64 81 (.f64 x x)) -36)
(fma.f64 81 (*.f64 x x) -36)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 6561)) (pow.f64 (cbrt.f64 (.f64 x -9)) 2) -36)
(fma.f64 (*.f64 81 x) x -36)
(fma.f64 81 (*.f64 x x) -36)

eval194.0ms (2.9%)

Compiler: Compiled 9697 to 7029 computations (27.5% saved)

prune72.0ms (1.1%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	449	2	451
Fresh	2	4	6
Picked	0	1	1
Done	0	6	6
Total	451	13	464

Error

Counts

464 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
▶	0.3b	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
	7.8b	(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (-.f64 6 (.f64 x -9)))
▶	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))
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
✓	39.0b	(.f64 (.f64 -9 x) x)
✓	0.3b	(.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (.f64 x -9) 6)))
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	23.4b	(*.f64 x 6)
▶	39.1b	(.f64 3 (.f64 (*.f64 x -3) x))
▶	39.1b	(.f64 -9 (.f64 x x))

Compiler

Compiled 197 to 148 computations (24.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x -9 6)
✓	0.3b	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))

Compiler

Compiled 20 to 15 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`add-sqr-sqrt`
1914×	`*-un-lft-identity`
1800×	`add-cube-cbrt`
1782×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	208	15
2	2475	15

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (fma.f64 x -9 6) (/.f64 1 x))

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 (fma.f64 x -9 6) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x -9 6)))))) (#(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 (*.f64 x (fma.f64 x -9 6))) (sqrt.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -9 6)) (*.f64 (sqrt.f64 (fma.f64 x -9 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (*.f64 (cbrt.f64 (fma.f64 x -9 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x -9 6)) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -9 6) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -9 6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (fma.f64 x -9 6) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (fma.f64 x -9 6) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -9 6) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -9 6)) 1) (/.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -9 6)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x -9 6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(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 pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x -9 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x -9 6) (/.f64 -1 x)))))) (#(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 (fma.f64 x -9 6)) x))))) (#(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))))))))

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1774×	`associate-+r+`
984×	`associate-+l+`
578×	`distribute-lft-neg-in`
506×	`unswap-sqr`
500×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	1047
1	257	777
2	933	777
3	3857	777

Stop Event

1×	node limit

Counts

47 → 47

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 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6)))) 1)
(*.f64 x (fma.f64 x -9 6))
(*.f64 (fma.f64 x -9 6) x)
(.f64 1 (.f64 x (fma.f64 x -9 6)))
(.f64 (.f64 x (fma.f64 x -9 6)) 1)
(.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) (sqrt.f64 (*.f64 x (fma.f64 x -9 6))))
(.f64 (sqrt.f64 (fma.f64 x -9 6)) (.f64 (sqrt.f64 (fma.f64 x -9 6)) x))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (.f64 (cbrt.f64 (fma.f64 x -9 6)) x))
(*.f64 (neg.f64 (fma.f64 x -9 6)) (/.f64 1 (/.f64 -1 x)))
(.f64 (.f64 (fma.f64 x -9 6) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (fma.f64 x -9 6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (fma.f64 x -9 6) (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (fma.f64 x -9 6) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (fma.f64 x -9 6) -1) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x -9 6)) 1) (/.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x -9 6)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x -9 6)) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 x -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (.f64 x (fma.f64 x -9 6))))
(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)
(pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x -9 6)) -1)
(neg.f64 (/.f64 (fma.f64 x -9 6) (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -9 6)) x))
(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))))

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 (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 x (fma.f64 x -9 6))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 (fma.f64 x -9 6) x)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 1 (.f64 x (fma.f64 x -9 6)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.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 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) (sqrt.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (sqrt.f64 (fma.f64 x -9 6)) (.f64 (sqrt.f64 (fma.f64 x -9 6)) x))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (pow.f64 (cbrt.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))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (.f64 (cbrt.f64 (fma.f64 x -9 6)) x))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (neg.f64 (fma.f64 x -9 6)) (/.f64 1 (/.f64 -1 x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (.f64 (fma.f64 x -9 6) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (.f64 (fma.f64 x -9 6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (fma.f64 x -9 6) (pow.f64 x -1/2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (fma.f64 x -9 6) (/.f64 1 (cbrt.f64 x))))
(/.f64 (.f64 1 (.f64 (/.f64 (fma.f64 x -9 6) 1) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (fma.f64 x -9 6) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (fma.f64 x -9 6) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(/.f64 (*.f64 (fma.f64 x -9 6) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (fma.f64 x -9 6) -1) (neg.f64 x))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x -9 6)) 1) (/.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 1 x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x -9 6)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (.f64 1 (.f64 (/.f64 (fma.f64 x -9 6) 1) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (fma.f64 x -9 6) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (fma.f64 x -9 6) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(/.f64 (*.f64 (fma.f64 x -9 6) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x -9 6)) (/.f64 1 x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 x -1/2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (.f64 x (fma.f64 x -9 6))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (pow.f64 x -2))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (*.f64 x (fma.f64 x -9 6)))))
(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))
(pow.f64 (/.f64 (/.f64 1 x) (fma.f64 x -9 6)) -1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(neg.f64 (/.f64 (fma.f64 x -9 6) (/.f64 -1 x)))
(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 (fma.f64 x -9 6)) x))
(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))

localize4.0ms (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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x -3) x)
✓	0.2b	(.f64 3 (.f64 (*.f64 x -3) x))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`add-sqr-sqrt`
1438×	`*-un-lft-identity`
1340×	`add-cube-cbrt`
1324×	`add-cbrt-cube`
1310×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	162	26
2	1829	26

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1688×	`distribute-rgt-in`
1664×	`distribute-lft-in`
1468×	`associate-r`
1246×	`associate-l`
884×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	624
1	156	624
2	600	624
3	4036	624

Stop Event

1×	node limit

Counts

48 → 29

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

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

localize13.0ms (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)))
✓	0.1b	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 x -3))))

Compiler

Compiled 35 to 28 computations (20% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (.f64 3 x) (/.f64 1 (+.f64 2 (.f64 x -3))))
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	@	0	(/.f64 1 (+.f64 2 (*.f64 x -3)))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 2 (*.f64 x -3)))

rewrite104.0ms (1.5%)

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

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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)))))

simplify133.0ms (2%)

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

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 36 (.f64 -81 (.f64 x x)))
✓	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)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite120.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`associate-/r/`
1040×	`associate-/l/`
980×	`distribute-lft-in`
326×	`add-sqr-sqrt`
310×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	112
1	324	100
2	4514	100

Stop Event

1×	node limit

Counts

4 → 265

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 36 (.f64 -81 (.f64 x x)))

Outputs
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egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 -81)) (.f64 x (sqrt.f64 -81)) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -81))) 36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -81) x 36)))))

simplify128.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-l`
1172×	`*-commutative`
1112×	`distribute-lft-in`
970×	`associate-*l/`
932×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	745	16539
1	2454	15757

Stop Event

1×	node limit

Counts

313 → 421

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))))))
36
(+.f64 (*.f64 -81 (pow.f64 x 2)) 36)
(+.f64 (*.f64 -81 (pow.f64 x 2)) 36)
(+.f64 (*.f64 -81 (pow.f64 x 2)) 36)
(*.f64 -81 (pow.f64 x 2))
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(*.f64 -81 (pow.f64 x 2))
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(+.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 36) (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (.f64 x (.f64 x -81))))
(+.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (.f64 x (.f64 x -81))) (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 36))
(+.f64 (.f64 36 (/.f64 x (+.f64 6 (.f64 x 9)))) (.f64 (.f64 x (.f64 x -81)) (/.f64 x (+.f64 6 (.f64 x 9)))))
(+.f64 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (+.f64 6 (.f64 x 9)))) (.f64 36 (/.f64 x (+.f64 6 (.f64 x 9)))))
(+.f64 (.f64 1 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 36)) (.f64 1 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (.f64 x (.f64 x -81)))))
(+.f64 (.f64 1 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (.f64 x (.f64 x -81)))) (.f64 1 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 36)))
(+.f64 (.f64 1 (.f64 36 (/.f64 x (+.f64 6 (.f64 x 9))))) (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (+.f64 6 (.f64 x 9))))))
(+.f64 (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (+.f64 6 (.f64 x 9))))) (.f64 1 (.f64 36 (/.f64 x (+.f64 6 (.f64 x 9))))))
(+.f64 (.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 1) 36) (.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 1) (.f64 x (.f64 x -81))))
(+.f64 (.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 1) (.f64 x (.f64 x -81))) (.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 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 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9))))) 1)
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (+.f64 6 (*.f64 x 9))))
(.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (.f64 x 9))) 1)
(.f64 1 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (.f64 x 9))))
(.f64 (sqrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (.f64 x 9)))) (sqrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x 9)))))
(.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (.f64 x 9)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))) 2))
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(/.f64 (-.f64 1679616 (.f64 (.f64 6561 (pow.f64 x 4)) (.f64 6561 (pow.f64 x 4)))) (.f64 (+.f64 36 (.f64 (.f64 x x) 81)) (+.f64 (*.f64 6561 (pow.f64 x 4)) 1296)))
(/.f64 (+.f64 101559956668416 (pow.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 1296 (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -2916 (.f64 x x)))) (+.f64 2176782336 (-.f64 (.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) (.f64 -531441 (pow.f64 (.f64 x x) 3))) (.f64 46656 (.f64 -531441 (pow.f64 (.f64 x x) 3)))))))
(/.f64 (-.f64 2176782336 (pow.f64 (.f64 6561 (pow.f64 x 4)) 3)) (.f64 (+.f64 36 (.f64 (.f64 x x) 81)) (+.f64 1679616 (+.f64 (.f64 (.f64 6561 (pow.f64 x 4)) (.f64 6561 (pow.f64 x 4))) (.f64 1296 (*.f64 6561 (pow.f64 x 4)))))))
(pow.f64 (fma.f64 -81 (*.f64 x x) 36) 1)
(pow.f64 (sqrt.f64 (fma.f64 -81 (*.f64 x x) 36)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -81 (*.f64 x x) 36)) 3)
(pow.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 36) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 36) 2))
(log.f64 (exp.f64 (fma.f64 -81 (*.f64 x x) 36)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -81 (*.f64 x x) 36))))
(cbrt.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 36) 3))
(expm1.f64 (log1p.f64 (fma.f64 -81 (*.f64 x x) 36)))
(exp.f64 (log.f64 (fma.f64 -81 (*.f64 x x) 36)))
(exp.f64 (.f64 (log.f64 (fma.f64 -81 (.f64 x x) 36)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -81 (*.f64 x x) 36)))
(fma.f64 -81 (*.f64 x x) 36)
(fma.f64 (*.f64 x x) -81 36)
(fma.f64 1 (.f64 x (.f64 x -81)) 36)
(fma.f64 (.f64 x (sqrt.f64 -81)) (.f64 x (sqrt.f64 -81)) 36)
(fma.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -81))) 36)
(fma.f64 (*.f64 x -81) x 36)

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))
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 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 1/9 x) (/.f64 4/81 (pow.f64 x 3))) (/.f64 8/243 (pow.f64 x 4)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/81 (pow.f64 x 3)) (/.f64 8/243 (pow.f64 x 4))) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 1/9 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 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 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 1/9 x) (/.f64 4/81 (pow.f64 x 3))) (/.f64 8/243 (pow.f64 x 4)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/81 (pow.f64 x 3)) (/.f64 8/243 (pow.f64 x 4))) (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 1/9 x))))
36
(+.f64 (*.f64 -81 (pow.f64 x 2)) 36)
(fma.f64 -81 (*.f64 x x) 36)
(+.f64 (*.f64 -81 (pow.f64 x 2)) 36)
(fma.f64 -81 (*.f64 x x) 36)
(+.f64 (*.f64 -81 (pow.f64 x 2)) 36)
(fma.f64 -81 (*.f64 x x) 36)
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 36)
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 36)
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 36)
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 36)
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 36)
(+.f64 36 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 36)
(+.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 36) (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (.f64 x (.f64 x -81))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (.f64 x (.f64 x -81))) (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 36))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.f64 (.f64 36 (/.f64 x (+.f64 6 (.f64 x 9)))) (.f64 (.f64 x (.f64 x -81)) (/.f64 x (+.f64 6 (.f64 x 9)))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.f64 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (+.f64 6 (.f64 x 9)))) (.f64 36 (/.f64 x (+.f64 6 (.f64 x 9)))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.f64 (.f64 1 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 36)) (.f64 1 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (.f64 x (.f64 x -81)))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.f64 (.f64 1 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (.f64 x (.f64 x -81)))) (.f64 1 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 36)))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.f64 (.f64 1 (.f64 36 (/.f64 x (+.f64 6 (.f64 x 9))))) (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (+.f64 6 (.f64 x 9))))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.f64 (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (+.f64 6 (.f64 x 9))))) (.f64 1 (.f64 36 (/.f64 x (+.f64 6 (.f64 x 9))))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.f64 (.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 1) 36) (.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 1) (.f64 x (.f64 x -81))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.f64 (.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 1) (.f64 x (.f64 x -81))) (.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 1) 36))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(+.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))) (+.f64 -36 (.f64 x (.f64 x 81))))
(/.f64 x (/.f64 (-.f64 -6 (.f64 x 9)) (+.f64 -36 (.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 (/.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 x (*.f64 x 81)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9))))) 1)
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (+.f64 6 (*.f64 x 9))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (.f64 x 9))) 1)
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 1 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (.f64 x 9))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (sqrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (.f64 x 9)))) (sqrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x 9)))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x 9))))
(.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (+.f64 6 (.f64 x 9))))
(.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (.f64 x 9)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))) 2))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (.f64 x 9)))) 2) (cbrt.f64 (/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x 9)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 (cbrt.f64 x) (+.f64 6 (.f64 x 9)))))
(.f64 (fma.f64 -81 (.f64 x x) 36) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 6 (.f64 x 9)))))
(.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (fma.f64 -81 (*.f64 x x) 36))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (neg.f64 x) (.f64 (/.f64 1 (-.f64 -6 (.f64 x 9))) (fma.f64 -81 (.f64 x x) 36)))
(.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 x (*.f64 x 81)))))
(.f64 (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))) x)
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) 1) (fma.f64 -81 (.f64 x x) 36))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (sqrt.f64 (fma.f64 -81 (.f64 x x) 36))) (sqrt.f64 (fma.f64 -81 (*.f64 x x) 36)))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (.f64 (/.f64 x (+.f64 6 (.f64 x 9))) (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 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (/.f64 x 1) (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (/.f64 1 (+.f64 6 (.f64 x 9))) (.f64 x (fma.f64 -81 (.f64 x x) 36)))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (/.f64 1 (+.f64 6 (.f64 x 9))) (.f64 (/.f64 x 1) (fma.f64 -81 (.f64 x x) 36)))
(/.f64 (.f64 x (fma.f64 -81 (.f64 x x) 36)) (+.f64 6 (*.f64 x 9)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (*.f64 x 9))))
(.f64 (.f64 1 (sqrt.f64 (/.f64 (fma.f64 -81 (.f64 x x) 36) (+.f64 6 (.f64 x 9))))) (/.f64 x (sqrt.f64 (/.f64 (+.f64 6 (.f64 x 9)) (fma.f64 -81 (.f64 x x) 36)))))
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(/.f64 (+.f64 101559956668416 (.f64 -150094635296999121 (pow.f64 (pow.f64 (.f64 x x) 3) 3))) (.f64 (+.f64 (fma.f64 6561 (pow.f64 x 4) 1296) (.f64 (.f64 x x) 2916)) (+.f64 2176782336 (.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) (-.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) 46656)))))
(/.f64 (-.f64 2176782336 (pow.f64 (.f64 6561 (pow.f64 x 4)) 3)) (.f64 (+.f64 36 (.f64 (.f64 x x) 81)) (+.f64 1679616 (+.f64 (.f64 (.f64 6561 (pow.f64 x 4)) (.f64 6561 (pow.f64 x 4))) (.f64 1296 (*.f64 6561 (pow.f64 x 4)))))))
(/.f64 (-.f64 2176782336 (.f64 282429536481 (pow.f64 (pow.f64 x 4) 3))) (.f64 (+.f64 36 (.f64 x (.f64 x 81))) (+.f64 1679616 (.f64 (.f64 (pow.f64 x 4) 6561) (fma.f64 6561 (pow.f64 x 4) 1296)))))
(/.f64 (-.f64 2176782336 (.f64 282429536481 (pow.f64 (pow.f64 x 4) 3))) (.f64 (+.f64 36 (.f64 x (.f64 x 81))) (+.f64 1679616 (.f64 (pow.f64 x 4) (.f64 6561 (fma.f64 6561 (pow.f64 x 4) 1296))))))
(pow.f64 (fma.f64 -81 (*.f64 x x) 36) 1)
(fma.f64 -81 (*.f64 x x) 36)
(pow.f64 (sqrt.f64 (fma.f64 -81 (*.f64 x x) 36)) 2)
(fma.f64 -81 (*.f64 x x) 36)
(pow.f64 (cbrt.f64 (fma.f64 -81 (*.f64 x x) 36)) 3)
(fma.f64 -81 (*.f64 x x) 36)
(pow.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 36) 3) 1/3)
(fma.f64 -81 (*.f64 x x) 36)
(sqrt.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 36) 2))
(log.f64 (exp.f64 (fma.f64 -81 (*.f64 x x) 36)))
(fma.f64 -81 (*.f64 x x) 36)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -81 (*.f64 x x) 36))))
(fma.f64 -81 (*.f64 x x) 36)
(cbrt.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 36) 3))
(fma.f64 -81 (*.f64 x x) 36)
(expm1.f64 (log1p.f64 (fma.f64 -81 (*.f64 x x) 36)))
(fma.f64 -81 (*.f64 x x) 36)
(exp.f64 (log.f64 (fma.f64 -81 (*.f64 x x) 36)))
(fma.f64 -81 (*.f64 x x) 36)
(exp.f64 (.f64 (log.f64 (fma.f64 -81 (.f64 x x) 36)) 1))
(fma.f64 -81 (*.f64 x x) 36)
(log1p.f64 (expm1.f64 (fma.f64 -81 (*.f64 x x) 36)))
(fma.f64 -81 (*.f64 x x) 36)
(fma.f64 -81 (*.f64 x x) 36)
(fma.f64 (*.f64 x x) -81 36)
(fma.f64 -81 (*.f64 x x) 36)
(fma.f64 1 (.f64 x (.f64 x -81)) 36)
(fma.f64 -81 (*.f64 x x) 36)
(fma.f64 (.f64 x (sqrt.f64 -81)) (.f64 x (sqrt.f64 -81)) 36)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -81)) 2) 36)
(+.f64 36 (pow.f64 (*.f64 x (sqrt.f64 -81)) 2))
(fma.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -81))) 36)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 6561)) (cbrt.f64 (.f64 x (*.f64 x -81))) 36)
(fma.f64 (*.f64 x -81) x 36)
(fma.f64 -81 (*.f64 x x) 36)

eval642.0ms (9.5%)

Compiler: Compiled 24379 to 18423 computations (24.4% saved)

prune503.0ms (7.4%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	1097	6	1103
Fresh	0	1	1
Picked	1	0	1
Done	2	9	11
Total	1100	16	1116

Error

Counts

1116 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
	7.8b	(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (-.f64 6 (.f64 x -9)))
	39.1b	(/.f64 (*.f64 x -9) (/.f64 1 x))
▶	39.1b	(/.f64 x (/.f64 -1/9 x))
▶	23.8b	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
▶	23.6b	(/.f64 x 1/6)
▶	23.5b	(/.f64 6 (/.f64 1 x))
✓	0.2b	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
▶	0.4b	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (-.f64 -36 (.f64 x (.f64 x -81))))
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
✓	39.0b	(.f64 (.f64 -9 x) x)
✓	0.3b	(.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 36) (-.f64 (.f64 x -9) 6)))
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	23.4b	(*.f64 x 6)
✓	39.1b	(.f64 3 (.f64 (*.f64 x -3) x))
✓	39.1b	(.f64 -9 (.f64 x x))

Compiler

Compiled 205 to 152 computations (25.9% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -36 (.f64 x (.f64 x -81)))
✓	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)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite146.0ms (2.1%)

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	94
1	319	94
2	4223	94

Stop Event

1×	node limit

Counts

4 → 296

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 -36 (.f64 x (.f64 x -81)))

Outputs
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simplify209.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1426×	`associate-r`
1286×	`associate-/r*`
1158×	`associate-l`
1056×	`associate-/l/`
854×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	791	19796
1	2343	19640

Stop Event

1×	node limit

Counts

344 → 508

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)))
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(.f64 (sqrt.f64 (/.f64 x (+.f64 -6 (.f64 x -9)))) (sqrt.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 6 (*.f64 x -9)))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 -6 (.f64 x -9)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -6 (.f64 x -9)))) 2) (cbrt.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 6 (*.f64 x -9)))))
(.f64 (neg.f64 x) (/.f64 1 (-.f64 6 (.f64 x -9))))
(.f64 (/.f64 -1 (-.f64 6 (.f64 x -9))) x)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 -6 (.f64 x -9)))) (/.f64 x (sqrt.f64 (+.f64 -6 (*.f64 x -9)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) 2)) (/.f64 x (cbrt.f64 (+.f64 -6 (*.f64 x -9)))))
(.f64 (/.f64 x 1) (/.f64 -1 (-.f64 6 (.f64 x -9))))
(.f64 (/.f64 1 (+.f64 36 (.f64 x (.f64 x -81)))) (.f64 x (-.f64 -6 (*.f64 x -9))))
(.f64 (/.f64 1 (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (.f64 x (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (.f64 -54 x)))))
(.f64 (/.f64 x (+.f64 36 (.f64 x (.f64 x -81)))) (-.f64 -6 (.f64 x -9)))
(.f64 (/.f64 x (-.f64 -216 (.f64 729 (pow.f64 x 3)))) (+.f64 36 (+.f64 (.f64 81 (.f64 x x)) (*.f64 -54 x))))
(.f64 (/.f64 1 (-.f64 6 (.f64 x -9))) (neg.f64 x))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -6 (.f64 x -9))))
(.f64 (/.f64 (sqrt.f64 x) (+.f64 -6 (.f64 x -9))) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -6 (*.f64 x -9)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -6 (.f64 x -9))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -6 (.f64 x -9)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -6 (*.f64 x -9)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -6 (.f64 x -9))) 2)) (cbrt.f64 (/.f64 x (+.f64 -6 (*.f64 x -9)))))
(.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 -36 (.f64 81 (.f64 x x)))
(+.f64 -36 (.f64 (.f64 81 (*.f64 x x)) 1))
(+.f64 -36 (.f64 1 (.f64 (.f64 81 (.f64 x x)) 1)))
(+.f64 (.f64 81 (.f64 x x)) -36)
(+.f64 (.f64 (.f64 81 (*.f64 x x)) 1) -36)
(+.f64 (-.f64 -36 (exp.f64 (log1p.f64 (.f64 x (.f64 x -81))))) 1)
(.f64 (-.f64 -36 (.f64 x (*.f64 x -81))) 1)
(.f64 1 (-.f64 -36 (.f64 x (*.f64 x -81))))
(.f64 (sqrt.f64 (-.f64 -36 (.f64 x (.f64 x -81)))) (sqrt.f64 (-.f64 -36 (.f64 x (*.f64 x -81)))))
(.f64 (cbrt.f64 (-.f64 -36 (.f64 x (.f64 x -81)))) (pow.f64 (cbrt.f64 (-.f64 -36 (.f64 x (*.f64 x -81)))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 -36 (.f64 x (.f64 x -81)))) 2) (cbrt.f64 (-.f64 -36 (.f64 x (*.f64 x -81)))))
(.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (/.f64 1 (+.f64 -36 (.f64 x (*.f64 x -81)))))
(.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (/.f64 1 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))))
(.f64 (/.f64 1 (+.f64 -36 (.f64 x (.f64 x -81)))) (-.f64 1296 (pow.f64 (.f64 x (*.f64 x -81)) 2)))
(.f64 (/.f64 1 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))) (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)))
(.f64 (/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (-.f64 -36 (.f64 x (*.f64 x -81))))
(.f64 (/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (+.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (-.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) 1296) (.f64 -36 (.f64 x (.f64 x -81)))))
(.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (-.f64 1679616 (.f64 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))) (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))))) (-.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81))))))
(.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 2176782336 (pow.f64 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))) 3))) (+.f64 1679616 (-.f64 (.f64 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))) (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81))))))))
(/.f64 1 (/.f64 1 (-.f64 -36 (.f64 x (.f64 x -81)))))
(/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (+.f64 -36 (.f64 x (.f64 x -81))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81))))))
(/.f64 (sqrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (/.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (sqrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)))))
(/.f64 (sqrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (/.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (sqrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (*.f64 x -81)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)))) (/.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (*.f64 x -81)) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)))) (/.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)))))
(/.f64 (-.f64 1296 (.f64 (.f64 81 (.f64 x x)) (.f64 81 (.f64 x x)))) (+.f64 -36 (.f64 x (*.f64 x -81))))
(/.f64 (-.f64 2176782336 (.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) (pow.f64 (.f64 x (.f64 x -81)) 3))) (.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (+.f64 -46656 (pow.f64 (.f64 x (*.f64 x -81)) 3))))
(/.f64 (-.f64 1679616 (.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) (pow.f64 (.f64 x (.f64 x -81)) 2))) (.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (+.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) 1296)))
(/.f64 (+.f64 -46656 (pow.f64 (.f64 81 (.f64 x x)) 3)) (+.f64 1296 (-.f64 (.f64 (.f64 81 (.f64 x x)) (.f64 81 (.f64 x x))) (.f64 -36 (.f64 81 (.f64 x x))))))
(/.f64 (-.f64 -101559956668416 (pow.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) 3)) (.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (+.f64 2176782336 (+.f64 (.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) (pow.f64 (.f64 x (.f64 x -81)) 3)) (.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))))))
(/.f64 (-.f64 2176782336 (pow.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) 3)) (.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (+.f64 1679616 (+.f64 (.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) (pow.f64 (.f64 x (.f64 x -81)) 2)) (.f64 1296 (pow.f64 (.f64 x (*.f64 x -81)) 2))))))
(/.f64 (neg.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (neg.f64 (+.f64 -36 (.f64 x (.f64 x -81)))))
(/.f64 (neg.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (neg.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81)))))))
(/.f64 (/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) 1) (+.f64 -36 (.f64 x (.f64 x -81))))
(/.f64 (/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (sqrt.f64 (+.f64 -36 (.f64 x (.f64 x -81))))) (sqrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))))
(/.f64 (/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (.f64 (cbrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))) (cbrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))))) (cbrt.f64 (+.f64 -36 (.f64 x (*.f64 x -81)))))
(/.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) 1) (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81))))))
(/.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (sqrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))))) (sqrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))))
(/.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (.f64 (cbrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))) (cbrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))))) (cbrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))))
(pow.f64 (-.f64 -36 (.f64 x (.f64 x -81))) 1)
(pow.f64 (sqrt.f64 (-.f64 -36 (.f64 x (.f64 x -81)))) 2)
(pow.f64 (cbrt.f64 (-.f64 -36 (.f64 x (.f64 x -81)))) 3)
(pow.f64 (pow.f64 (-.f64 -36 (.f64 x (.f64 x -81))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 -36 (.f64 x (.f64 x -81))) 2))
(log.f64 (exp.f64 (-.f64 -36 (.f64 x (.f64 x -81)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -36 (.f64 x (.f64 x -81))))))
(cbrt.f64 (pow.f64 (-.f64 -36 (.f64 x (.f64 x -81))) 3))
(expm1.f64 (log.f64 (-.f64 -35 (.f64 x (.f64 x -81)))))
(exp.f64 (log.f64 (-.f64 -36 (.f64 x (.f64 x -81)))))
(exp.f64 (.f64 (log.f64 (-.f64 -36 (.f64 x (*.f64 x -81)))) 1))
(log1p.f64 (expm1.f64 (-.f64 -36 (.f64 x (.f64 x -81)))))

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)))
(*.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 4/81 (*.f64 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 4/81 (*.f64 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 4/81 (*.f64 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 4/81 (*.f64 x x))))
-36
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
(-.f64 (*.f64 81 (pow.f64 x 2)) 36)
(fma.f64 81 (*.f64 x x) -36)
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(.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (-.f64 1679616 (.f64 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))) (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))))) (-.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81))))))
(.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (-.f64 1679616 (.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) (.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (+.f64 -36 (.f64 x (.f64 x -81))))))) (-.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81)))))))
(.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (-.f64 1679616 (.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (pow.f64 (.f64 x (.f64 x -81)) 2))))) (-.f64 (-.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (*.f64 x -81)) 2)))
(.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 2176782336 (pow.f64 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))) 3))) (+.f64 1679616 (-.f64 (.f64 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))) (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81))))))))
(.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 2176782336 (pow.f64 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81))))) 3))) (+.f64 1679616 (.f64 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81))))) (-.f64 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (*.f64 x -81))))) 1296))))
(/.f64 (.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 1679616 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) (.f64 (.f64 x x) 2916)) (+.f64 (.f64 (.f64 x x) 2916) (-.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) 1296))))) (+.f64 2176782336 (pow.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) (.f64 (.f64 x x) 2916)) 3)))
(/.f64 1 (/.f64 1 (-.f64 -36 (.f64 x (.f64 x -81)))))
(-.f64 -36 (.f64 x (.f64 x -81)))
(/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (+.f64 -36 (.f64 x (.f64 x -81))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81))))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (*.f64 x -81)))))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (.f64 x -81)) 2)))
(/.f64 (sqrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (/.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (sqrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (+.f64 -36 (.f64 x (.f64 x -81)))) (sqrt.f64 (-.f64 1296 (pow.f64 (.f64 x (*.f64 x -81)) 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (sqrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)))) (+.f64 -36 (.f64 x (*.f64 x -81))))
(/.f64 (sqrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (/.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (sqrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (*.f64 x -81)) 3)))))
(/.f64 (sqrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (/.f64 (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81)))))) (sqrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (*.f64 x -81)) 3)))))
(.f64 (sqrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (/.f64 (sqrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (*.f64 x -81)) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)))) (/.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (*.f64 x -81)) 2)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)))) (+.f64 -36 (.f64 x (.f64 x -81)))) (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))))
(.f64 (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (/.f64 (.f64 (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (cbrt.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)))) (+.f64 -36 (.f64 x (.f64 x -81)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)))) (/.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)))))
(/.f64 (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (/.f64 (/.f64 (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81)))))) (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)))) (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (*.f64 x -81)) 3)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (/.f64 (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (.f64 x -81)) 2)) (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))))) (cbrt.f64 (-.f64 -46656 (pow.f64 (.f64 x (*.f64 x -81)) 3))))
(/.f64 (-.f64 1296 (.f64 (.f64 81 (.f64 x x)) (.f64 81 (.f64 x x)))) (+.f64 -36 (.f64 x (*.f64 x -81))))
(/.f64 (-.f64 1296 (.f64 6561 (pow.f64 x 4))) (+.f64 -36 (.f64 x (*.f64 x -81))))
(/.f64 (-.f64 1296 (.f64 (pow.f64 x 4) 6561)) (+.f64 -36 (.f64 x (*.f64 x -81))))
(/.f64 (-.f64 2176782336 (.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) (pow.f64 (.f64 x (.f64 x -81)) 3))) (.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (+.f64 -46656 (pow.f64 (.f64 x (*.f64 x -81)) 3))))
(/.f64 (-.f64 2176782336 (pow.f64 (.f64 x (.f64 x -81)) 6)) (.f64 (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81)))))) (+.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))))
(/.f64 (/.f64 (-.f64 2176782336 (pow.f64 (.f64 x (.f64 x -81)) 6)) (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (.f64 x -81)) 2))) (+.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)))
(/.f64 (-.f64 1679616 (.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) (pow.f64 (.f64 x (.f64 x -81)) 2))) (.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (+.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) 1296)))
(/.f64 (/.f64 (-.f64 1679616 (pow.f64 (.f64 x (.f64 x -81)) 4)) (+.f64 -36 (.f64 x (.f64 x -81)))) (+.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)))
(/.f64 (+.f64 -46656 (pow.f64 (.f64 81 (.f64 x x)) 3)) (+.f64 1296 (-.f64 (.f64 (.f64 81 (.f64 x x)) (.f64 81 (.f64 x x))) (.f64 -36 (.f64 81 (.f64 x x))))))
(/.f64 (+.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 -46656 (.f64 531441 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (pow.f64 x 4) 6561) (+.f64 (.f64 (*.f64 x x) 2916) 1296)))
(/.f64 (-.f64 -101559956668416 (pow.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) 3)) (.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))) (+.f64 2176782336 (+.f64 (.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) (pow.f64 (.f64 x (.f64 x -81)) 3)) (.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))))))
(/.f64 (-.f64 -101559956668416 (pow.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) 3)) (.f64 (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81)))))) (+.f64 2176782336 (+.f64 (pow.f64 (.f64 x (.f64 x -81)) 6) (.f64 -46656 (pow.f64 (.f64 x (*.f64 x -81)) 3))))))
(/.f64 (-.f64 -101559956668416 (pow.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) 3)) (.f64 (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (.f64 x -81)) 2)) (+.f64 (+.f64 2176782336 (.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (pow.f64 (.f64 x (.f64 x -81)) 6))))
(/.f64 (-.f64 2176782336 (pow.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) 3)) (.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (+.f64 1679616 (+.f64 (.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) (pow.f64 (.f64 x (.f64 x -81)) 2)) (.f64 1296 (pow.f64 (.f64 x (*.f64 x -81)) 2))))))
(/.f64 (-.f64 2176782336 (pow.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) 3)) (.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (+.f64 1679616 (+.f64 (pow.f64 (.f64 x (.f64 x -81)) 4) (.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))))))
(/.f64 (-.f64 2176782336 (pow.f64 (.f64 x (.f64 x -81)) 6)) (.f64 (+.f64 -36 (.f64 x (.f64 x -81))) (+.f64 (.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (+.f64 1679616 (pow.f64 (.f64 x (.f64 x -81)) 4)))))
(/.f64 (neg.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (neg.f64 (+.f64 -36 (.f64 x (.f64 x -81)))))
(/.f64 (neg.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2))) (-.f64 36 (.f64 x (.f64 x -81))))
(/.f64 (+.f64 -1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (-.f64 36 (.f64 x (.f64 x -81))))
(/.f64 (neg.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (neg.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81)))))))
(/.f64 (neg.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3))) (+.f64 -1296 (neg.f64 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (*.f64 x -81))))))))
(/.f64 (+.f64 46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (-.f64 -1296 (+.f64 (pow.f64 (.f64 x (.f64 x -81)) 2) (.f64 (.f64 x x) 2916))))
(/.f64 (/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) 1) (+.f64 -36 (.f64 x (.f64 x -81))))
(/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (+.f64 -36 (.f64 x (.f64 x -81))))
(/.f64 (/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (sqrt.f64 (+.f64 -36 (.f64 x (.f64 x -81))))) (sqrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))))
(/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (.f64 (sqrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))) (sqrt.f64 (+.f64 -36 (.f64 x (*.f64 x -81))))))
(/.f64 (/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (.f64 (cbrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))) (cbrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))))) (cbrt.f64 (+.f64 -36 (.f64 x (*.f64 x -81)))))
(/.f64 (-.f64 1296 (pow.f64 (.f64 x (.f64 x -81)) 2)) (.f64 (cbrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))) (.f64 (cbrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))) (cbrt.f64 (+.f64 -36 (.f64 x (.f64 x -81)))))))
(/.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) 1) (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (*.f64 x -81))))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (*.f64 x -81)))))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (.f64 x -81)) 2)))
(/.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (sqrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81))))))) (sqrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (.f64 (sqrt.f64 (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81))))))) (sqrt.f64 (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (*.f64 x -81)))))))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (.f64 (sqrt.f64 (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (.f64 x -81)) 2))) (sqrt.f64 (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (*.f64 x -81)) 2)))))
(/.f64 (/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (.f64 (cbrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))) (cbrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))))) (cbrt.f64 (+.f64 1296 (.f64 (.f64 x (.f64 x -81)) (+.f64 -36 (.f64 x (.f64 x -81)))))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (.f64 (cbrt.f64 (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81))))))) (.f64 (cbrt.f64 (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (.f64 x -81))))))) (cbrt.f64 (+.f64 1296 (.f64 x (.f64 (.f64 x -81) (+.f64 -36 (.f64 x (*.f64 x -81))))))))))
(/.f64 (-.f64 -46656 (pow.f64 (.f64 x (.f64 x -81)) 3)) (.f64 (cbrt.f64 (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (.f64 x -81)) 2))) (.f64 (cbrt.f64 (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (.f64 x -81)) 2))) (cbrt.f64 (+.f64 (+.f64 1296 (.f64 (.f64 x x) 2916)) (pow.f64 (.f64 x (.f64 x -81)) 2))))))
(pow.f64 (-.f64 -36 (.f64 x (.f64 x -81))) 1)
(-.f64 -36 (.f64 x (.f64 x -81)))
(pow.f64 (sqrt.f64 (-.f64 -36 (.f64 x (.f64 x -81)))) 2)
(-.f64 -36 (.f64 x (.f64 x -81)))
(pow.f64 (cbrt.f64 (-.f64 -36 (.f64 x (.f64 x -81)))) 3)
(-.f64 -36 (.f64 x (.f64 x -81)))
(pow.f64 (pow.f64 (-.f64 -36 (.f64 x (.f64 x -81))) 3) 1/3)
(-.f64 -36 (.f64 x (.f64 x -81)))
(sqrt.f64 (pow.f64 (-.f64 -36 (.f64 x (.f64 x -81))) 2))
(log.f64 (exp.f64 (-.f64 -36 (.f64 x (.f64 x -81)))))
(-.f64 -36 (.f64 x (.f64 x -81)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -36 (.f64 x (.f64 x -81))))))
(-.f64 -36 (.f64 x (.f64 x -81)))
(cbrt.f64 (pow.f64 (-.f64 -36 (.f64 x (.f64 x -81))) 3))
(-.f64 -36 (.f64 x (.f64 x -81)))
(expm1.f64 (log.f64 (-.f64 -35 (.f64 x (.f64 x -81)))))
(exp.f64 (log.f64 (-.f64 -36 (.f64 x (.f64 x -81)))))
(-.f64 -36 (.f64 x (.f64 x -81)))
(exp.f64 (.f64 (log.f64 (-.f64 -36 (.f64 x (*.f64 x -81)))) 1))
(-.f64 -36 (.f64 x (.f64 x -81)))
(log1p.f64 (expm1.f64 (-.f64 -36 (.f64 x (.f64 x -81)))))
(-.f64 -36 (.f64 x (.f64 x -81)))

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)

rewrite57.0ms (0.8%)

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)))))))

simplify62.0ms (0.9%)

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 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`add-sqr-sqrt`
1274×	`*-un-lft-identity`
1200×	`add-cube-cbrt`
1190×	`add-cbrt-cube`
1176×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	148	7
2	1736	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-r`
1044×	`associate-l`
926×	`distribute-lft-in`
816×	`associate-+r+`
750×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	245
1	126	245
2	532	245
3	3458	245

Stop Event

1×	node limit

Counts

35 → 23

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 -1/9 x))
✓	0.4b	(/.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	@	-inf	(/.f64 x (/.f64 -1/9 x))
0.0ms	x	@	0	(/.f64 x (/.f64 -1/9 x))

rewrite105.0ms (1.5%)

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))))))))

simplify62.0ms (0.9%)

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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/6 (*.f64 x 1/4))
✓	0.2b	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+.f64 1/6 (*.f64 x 1/4))
0.0ms	x	@	inf	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
0.0ms	x	@	0	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
0.0ms	x	@	-inf	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
0.0ms	x	@	0	(+.f64 1/6 (*.f64 x 1/4))

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`add-sqr-sqrt`
1898×	`*-un-lft-identity`
1800×	`add-cube-cbrt`
1784×	`add-cbrt-cube`
172×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	179	24
2	2318	24

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/4 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/4 1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 x (sqrt.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1/36 (*.f64 1/16 (*.f64 x x)))) (+.f64 1/6 (*.f64 -1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1/216 (*.f64 1/64 (pow.f64 x 3)))) (+.f64 1/36 (-.f64 (*.f64 1/16 (*.f64 x x)) (*.f64 1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/4 1/6) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/4 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/4 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 -1/4 x))) (/.f64 (*.f64 1/16 (*.f64 x x)) (+.f64 1/6 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/4 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/4 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) (sqrt.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2) (cbrt.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/36 (*.f64 1/16 (*.f64 x x))) (/.f64 1 (+.f64 1/6 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/216 (*.f64 1/64 (pow.f64 x 3))) (/.f64 1 (+.f64 1/36 (-.f64 (*.f64 1/16 (*.f64 x x)) (*.f64 1/24 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/6 (*.f64 -1/4 x)) (-.f64 1/36 (*.f64 1/16 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/36 (-.f64 (*.f64 1/16 (*.f64 x x)) (*.f64 1/24 x))) (+.f64 1/216 (*.f64 1/64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (*.f64 1/16 (*.f64 x x))) (+.f64 1/6 (*.f64 -1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (*.f64 1/64 (pow.f64 x 3))) (+.f64 1/36 (-.f64 (*.f64 1/16 (*.f64 x x)) (*.f64 1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (*.f64 1/64 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/36 (*.f64 1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/36 (*.f64 1/16 (*.f64 x x)))) (neg.f64 (+.f64 1/6 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/216 (*.f64 1/64 (pow.f64 x 3)))) (neg.f64 (+.f64 1/36 (-.f64 (*.f64 1/16 (*.f64 x x)) (*.f64 1/24 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/16 (*.f64 x x)) 1/36) (-.f64 (*.f64 x 1/4) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/4 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/4 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/4 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 x 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (cbrt.f64 (*.f64 x 1/4)) 1/6)))))

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1600×	`associate-/r*`
1226×	`associate-*r/`
1094×	`associate-/l*`
970×	`unswap-sqr`
858×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	1778
1	495	1648
2	2091	1616

Stop Event

1×	node limit

Counts

92 → 113

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)))))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(*.f64 1/4 x)
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(*.f64 1/4 x)
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/4 1/6)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/4 1/6)))
(*.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/4 1/6)))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 1 (fma.f64 x 1/4 1/6)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 x (sqrt.f64 (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/4 1/6))))
(.f64 (/.f64 x (-.f64 1/36 (.f64 1/16 (.f64 x x)))) (+.f64 1/6 (.f64 -1/4 x)))
(.f64 (/.f64 x (+.f64 1/216 (.f64 1/64 (pow.f64 x 3)))) (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (*.f64 1/24 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/4 1/6)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/4 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x 1/4 1/6) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/4 1/6))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/4 1/6)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/4 1/6))) 1)
(-.f64 (/.f64 1/36 (+.f64 1/6 (.f64 -1/4 x))) (/.f64 (.f64 1/16 (.f64 x x)) (+.f64 1/6 (.f64 -1/4 x))))
(*.f64 (fma.f64 x 1/4 1/6) 1)
(*.f64 1 (fma.f64 x 1/4 1/6))
(*.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) (sqrt.f64 (fma.f64 x 1/4 1/6)))
(*.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2) (cbrt.f64 (fma.f64 x 1/4 1/6)))
(.f64 (-.f64 1/36 (.f64 1/16 (.f64 x x))) (/.f64 1 (+.f64 1/6 (.f64 -1/4 x))))
(.f64 (+.f64 1/216 (.f64 1/64 (pow.f64 x 3))) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (*.f64 1/24 x)))))
(/.f64 1 (/.f64 (+.f64 1/6 (.f64 -1/4 x)) (-.f64 1/36 (.f64 1/16 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 1/24 x))) (+.f64 1/216 (.f64 1/64 (pow.f64 x 3)))))
(/.f64 (-.f64 1/36 (.f64 1/16 (.f64 x x))) (+.f64 1/6 (*.f64 -1/4 x)))
(/.f64 (+.f64 1/216 (.f64 1/64 (pow.f64 x 3))) (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 1/24 x))))
(/.f64 (+.f64 1/216 (.f64 1/64 (pow.f64 x 3))) (+.f64 (.f64 1/16 (.f64 x x)) (-.f64 1/36 (.f64 1/24 x))))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 1/16 (.f64 x x)))) (neg.f64 (+.f64 1/6 (*.f64 -1/4 x))))
(/.f64 (neg.f64 (+.f64 1/216 (.f64 1/64 (pow.f64 x 3)))) (neg.f64 (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 1/24 x)))))
(/.f64 (-.f64 (.f64 1/16 (.f64 x x)) 1/36) (-.f64 (*.f64 x 1/4) 1/6))
(pow.f64 (fma.f64 x 1/4 1/6) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 2))
(log.f64 (exp.f64 (fma.f64 x 1/4 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/4 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/4 1/6)))
(exp.f64 (log.f64 (fma.f64 x 1/4 1/6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/4 1/6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(fma.f64 1/4 x 1/6)
(fma.f64 1 (*.f64 x 1/4) 1/6)
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (.f64 1/2 (sqrt.f64 x)) 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/4)) 2) (cbrt.f64 (.f64 x 1/4)) 1/6)

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 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 x -9)))
(+.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))))
(fma.f64 6 x (fma.f64 -9 (.f64 x x) (.f64 27/2 (pow.f64 x 3))))
(fma.f64 6 x (.f64 (.f64 x x) (+.f64 -9 (*.f64 x 27/2))))
(+.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)))))
(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)))))
(fma.f64 6 x (fma.f64 27/2 (pow.f64 x 3) (fma.f64 -9 (.f64 x x) (.f64 -81/4 (pow.f64 x 4)))))
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 (+.f64 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x))) (/.f64 32/27 (pow.f64 x 3)))
(-.f64 (+.f64 (+.f64 4 (/.f64 -8/3 x)) (/.f64 16/9 (*.f64 x 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 (+.f64 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x))) (/.f64 32/27 (pow.f64 x 3)))
(-.f64 (+.f64 (+.f64 4 (/.f64 -8/3 x)) (/.f64 16/9 (*.f64 x x))) (/.f64 32/27 (pow.f64 x 3)))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/4 1/6)))) 1)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 x (/.f64 1 (fma.f64 x 1/4 1/6)))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 1 (/.f64 x (fma.f64 x 1/4 1/6)))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 1 (fma.f64 x 1/4 1/6)) x)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 x (sqrt.f64 (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(.f64 (/.f64 x (-.f64 1/36 (.f64 1/16 (.f64 x x)))) (+.f64 1/6 (.f64 -1/4 x)))
(.f64 (/.f64 x (+.f64 1/36 (.f64 -1/16 (.f64 x x)))) (+.f64 1/6 (.f64 x -1/4)))
(/.f64 (.f64 x (fma.f64 x -1/4 1/6)) (+.f64 1/36 (.f64 (*.f64 x x) -1/16)))
(/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/16 -1/36) (fma.f64 x 1/4 -1/6)))
(.f64 (/.f64 x (+.f64 1/216 (.f64 1/64 (pow.f64 x 3)))) (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (*.f64 1/24 x))))
(.f64 (/.f64 x (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64))) (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 x 1/24))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 3) 1/64 1/216)) (+.f64 1/36 (.f64 x (+.f64 (*.f64 x 1/16) -1/24))))
(.f64 x (/.f64 (-.f64 1/36 (.f64 x (-.f64 1/24 (*.f64 x 1/16)))) (fma.f64 (pow.f64 x 3) 1/64 1/216)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/4 1/6)))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/4 1/6)))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2))
(pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)
(/.f64 x (fma.f64 x 1/4 1/6))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2)
(/.f64 x (fma.f64 x 1/4 1/6))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 3)
(/.f64 x (fma.f64 x 1/4 1/6))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3) 1/3)
(/.f64 x (fma.f64 x 1/4 1/6))
(pow.f64 (/.f64 (fma.f64 x 1/4 1/6) x) -1)
(/.f64 x (fma.f64 x 1/4 1/6))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 2))
(fabs.f64 (/.f64 x (fma.f64 x 1/4 1/6)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/4 1/6)))))
(/.f64 x (fma.f64 x 1/4 1/6))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3))
(/.f64 x (fma.f64 x 1/4 1/6))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 1))
(/.f64 x (fma.f64 x 1/4 1/6))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(/.f64 x (fma.f64 x 1/4 1/6))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/4 1/6))) 1)
(fma.f64 x 1/4 1/6)
(-.f64 (/.f64 1/36 (+.f64 1/6 (.f64 -1/4 x))) (/.f64 (.f64 1/16 (.f64 x x)) (+.f64 1/6 (.f64 -1/4 x))))
(/.f64 (+.f64 1/36 (.f64 -1/16 (.f64 x x))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 (*.f64 x x) 1/16 -1/36) (fma.f64 x 1/4 -1/6))
(*.f64 (fma.f64 x 1/4 1/6) 1)
(fma.f64 x 1/4 1/6)
(*.f64 1 (fma.f64 x 1/4 1/6))
(fma.f64 x 1/4 1/6)
(*.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) (sqrt.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(*.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2))
(fma.f64 x 1/4 1/6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2) (cbrt.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(.f64 (-.f64 1/36 (.f64 1/16 (.f64 x x))) (/.f64 1 (+.f64 1/6 (.f64 -1/4 x))))
(/.f64 (+.f64 1/36 (.f64 -1/16 (.f64 x x))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 (*.f64 x x) 1/16 -1/36) (fma.f64 x 1/4 -1/6))
(.f64 (+.f64 1/216 (.f64 1/64 (pow.f64 x 3))) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (*.f64 1/24 x)))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 x 1/24)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (+.f64 (.f64 x 1/16) -1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (-.f64 1/36 (.f64 x (-.f64 1/24 (.f64 x 1/16)))))
(/.f64 1 (/.f64 (+.f64 1/6 (.f64 -1/4 x)) (-.f64 1/36 (.f64 1/16 (*.f64 x x)))))
(/.f64 (+.f64 1/36 (.f64 -1/16 (.f64 x x))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 (*.f64 x x) 1/16 -1/36) (fma.f64 x 1/4 -1/6))
(/.f64 1 (/.f64 (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 1/24 x))) (+.f64 1/216 (.f64 1/64 (pow.f64 x 3)))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 x 1/24)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (+.f64 (.f64 x 1/16) -1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (-.f64 1/36 (.f64 x (-.f64 1/24 (.f64 x 1/16)))))
(/.f64 (-.f64 1/36 (.f64 1/16 (.f64 x x))) (+.f64 1/6 (*.f64 -1/4 x)))
(/.f64 (+.f64 1/36 (.f64 -1/16 (.f64 x x))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 (*.f64 x x) 1/16 -1/36) (fma.f64 x 1/4 -1/6))
(/.f64 (+.f64 1/216 (.f64 1/64 (pow.f64 x 3))) (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 1/24 x))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 x 1/24)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (+.f64 (.f64 x 1/16) -1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (-.f64 1/36 (.f64 x (-.f64 1/24 (.f64 x 1/16)))))
(/.f64 (+.f64 1/216 (.f64 1/64 (pow.f64 x 3))) (+.f64 (.f64 1/16 (.f64 x x)) (-.f64 1/36 (.f64 1/24 x))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 x 1/24)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (+.f64 (.f64 x 1/16) -1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (-.f64 1/36 (.f64 x (-.f64 1/24 (.f64 x 1/16)))))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 1/16 (.f64 x x)))) (neg.f64 (+.f64 1/6 (*.f64 -1/4 x))))
(/.f64 (+.f64 1/36 (.f64 -1/16 (.f64 x x))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 (*.f64 x x) 1/16 -1/36) (fma.f64 x 1/4 -1/6))
(/.f64 (neg.f64 (+.f64 1/216 (.f64 1/64 (pow.f64 x 3)))) (neg.f64 (+.f64 1/36 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 1/24 x)))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 x 1/24)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (+.f64 (.f64 x 1/16) -1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (-.f64 1/36 (.f64 x (-.f64 1/24 (.f64 x 1/16)))))
(/.f64 (-.f64 (.f64 1/16 (.f64 x x)) 1/36) (-.f64 (*.f64 x 1/4) 1/6))
(/.f64 (+.f64 1/36 (.f64 -1/16 (.f64 x x))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 (*.f64 x x) 1/16 -1/36) (fma.f64 x 1/4 -1/6))
(pow.f64 (fma.f64 x 1/4 1/6) 1)
(fma.f64 x 1/4 1/6)
(pow.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) 2)
(fma.f64 x 1/4 1/6)
(pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 3)
(fma.f64 x 1/4 1/6)
(pow.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3) 1/3)
(fma.f64 x 1/4 1/6)
(sqrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 2))
(fabs.f64 (fma.f64 x 1/4 1/6))
(log.f64 (exp.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/4 1/6))))
(fma.f64 x 1/4 1/6)
(cbrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3))
(fma.f64 x 1/4 1/6)
(expm1.f64 (log1p.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(exp.f64 (log.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/4 1/6)) 1))
(fma.f64 x 1/4 1/6)
(log1p.f64 (expm1.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(fma.f64 x 1/4 1/6)
(fma.f64 1/4 x 1/6)
(fma.f64 x 1/4 1/6)
(fma.f64 1 (*.f64 x 1/4) 1/6)
(fma.f64 x 1/4 1/6)
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (.f64 1/2 (sqrt.f64 x)) 1/6)
(fma.f64 x 1/4 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/4)) 2) (cbrt.f64 (.f64 x 1/4)) 1/6)
(fma.f64 x 1/4 1/6)

eval408.0ms (6%)

Compiler: Compiled 17047 to 12837 computations (24.7% saved)

prune134.0ms (2%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	730	6	736
Fresh	0	2	2
Picked	0	1	1
Done	3	10	13
Total	733	19	752

Error

Counts

752 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	7.8b	(/.f64 (.f64 (-.f64 36 (.f64 81 (.f64 x x))) x) (-.f64 6 (.f64 x -9)))
	39.1b	(/.f64 (*.f64 x -9) (/.f64 1 x))
✓	39.1b	(/.f64 x (/.f64 -1/9 x))
✓	23.8b	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
✓	23.6b	(/.f64 x 1/6)
✓	23.5b	(/.f64 6 (/.f64 1 x))
	0.4b	(/.f64 1 (/.f64 (/.f64 (+.f64 -6 (.f64 x -9)) x) (-.f64 -36 (.f64 x (*.f64 x -81)))))
✓	0.2b	(+.f64 (.f64 (.f64 x x) -9) (*.f64 x 6))
	39.2b	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) (.f64 81 (.f64 x x)))
	23.7b	(.f64 (/.f64 x (-.f64 -6 (.f64 x 9))) -36)
	39.1b	(*.f64 (/.f64 x 1/9) (neg.f64 x))
✓	0.3b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
✓	39.0b	(.f64 (.f64 -9 x) x)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	23.4b	(*.f64 x 6)
✓	39.1b	(.f64 3 (.f64 (*.f64 x -3) x))
	39.8b	(.f64 -1/9 (-.f64 -36 (.f64 x (*.f64 x -81))))
✓	39.1b	(.f64 -9 (.f64 x x))
	62.1b	4

Compiler

Compiled 161 to 121 computations (24.8% saved)

regimes46.0ms (0.7%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
14.0ms	x

Results

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

Compiler

Compiled 272 to 190 computations (30.1% saved)

regimes37.0ms (0.5%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
14.0ms	x

Results

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

Compiler

Compiled 264 to 186 computations (29.5% saved)

regimes39.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
13.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Results

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

Compiler

Compiled 250 to 176 computations (29.6% saved)

regimes17.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 (.f64 -9 x) x)
(/.f64 6 (/.f64 1 x))
(/.f64 x (/.f64 -1/9 x))
(*.f64 (/.f64 x 1/9) (neg.f64 x))
(.f64 3 (.f64 (*.f64 x -3) x))

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 43 to 29 computations (32.6% saved)

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.0028973841547417583	0.7926854088674191
16.0ms	-158172100.21923506	-0.00048119309012375507

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 230 to 173 computations (24.8% saved)

regimes12.0ms (0.2%)

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
1.8b	3	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch31.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.0028973841547417583	0.7926854088674191
15.0ms	-158172100.21923506	-0.00048119309012375507

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 230 to 173 computations (24.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -38.7b remaining (-165.2%)

Threshold costs -38.7b (-165.2%)

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
23.4b	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	153
1	43	153

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -5944751508129055/9007199254740992) (.f64 (.f64 -9 x) x) (if (<=.f64 x 6124895493223875/9007199254740992) (.f64 x 6) (.f64 (*.f64 -9 x) x)))
(if (<=.f64 x -5944751508129055/9007199254740992) (.f64 -9 (.f64 x x)) (if (<=.f64 x 6124895493223875/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(*.f64 x 6)
4

Outputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -5944751508129055/9007199254740992) (.f64 (.f64 -9 x) x) (if (<=.f64 x 6124895493223875/9007199254740992) (.f64 x 6) (.f64 (*.f64 -9 x) x)))
(if (or (<=.f64 x -5944751508129055/9007199254740992) (not (<=.f64 x 6124895493223875/9007199254740992))) (.f64 x (.f64 x -9)) (*.f64 x 6))
(if (<=.f64 x -5944751508129055/9007199254740992) (.f64 -9 (.f64 x x)) (if (<=.f64 x 6124895493223875/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (or (<=.f64 x -5944751508129055/9007199254740992) (not (<=.f64 x 6124895493223875/9007199254740992))) (.f64 -9 (.f64 x x)) (*.f64 x 6))
(*.f64 x 6)
4

Compiler

Compiled 66 to 48 computations (27.3% saved)

soundness137.0ms (2%)

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)

end69.0ms (1%)

Compiler: Compiled 60 to 41 computations (31.7% saved)