Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
57.1%	50%	37.5%	0%	12.5%	0%	0%	4
76.9%	62.5%	18.7%	0%	18.7%	0%	0%	5
88%	68.7%	9.4%	0%	21.9%	0%	0%	6
93.9%	71.8%	4.7%	0%	23.4%	0%	0%	7
96.9%	73.4%	2.3%	0%	24.2%	0%	0%	8
98.4%	74.2%	1.2%	0%	24.6%	0%	0%	9
99.2%	74.6%	0.6%	0%	24.8%	0%	0%	10
99.6%	74.8%	0.3%	0%	24.9%	0%	0%	11
99.8%	74.9%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.1s (15.5%)

Results

1.1s	8256×	body	256	valid
1.0ms	15×	body	256	infinite

Bogosity

preprocess99.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1496×	`fma-def`
392×	`associate--r+`
360×	`associate-+l+`
342×	`associate-r`
326×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	35	27
2	83	23
3	187	23
4	348	17
5	523	17
6	871	17
7	1693	17
8	2743	17
9	3089	17
10	3159	17
11	3220	17
12	3226	17
13	3226	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Outputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(+.f64 (.f64 3 (fma.f64 (.f64 3 x) x (neg.f64 (*.f64 x 4)))) 3)
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 15 to 12 computations (20% saved)

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1496×	`fma-def`
392×	`associate--r+`
360×	`associate-+l+`
342×	`associate-r`
326×	`associate-+l-`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	35	27
2	83	23
3	187	23
4	348	17
5	523	17
6	871	17
7	1693	17
8	2743	17
9	3089	17
10	3159	17
11	3220	17
12	3226	17
13	3226	17

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Outputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(+.f64 (.f64 3 (fma.f64 (.f64 3 x) x (neg.f64 (*.f64 x 4)))) 3)
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 x (fma.f64 x 9 -12) 3)

eval1.0ms (0%)

Compiler: Compiled 53 to 41 computations (22.6% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

0.05%

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.14%	(fma.f64 x (fma.f64 x 9 -12) 3)
▶	0.21%	(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
▶	0.23%	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Compiler

Compiled 33 to 26 computations (21.2% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
✓	0.22%	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
✓	0.25%	(.f64 (.f64 x 3) x)

Compiler

Compiled 49 to 35 computations (28.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x 3) x)
0.0ms	x	@	inf	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
0.0ms	x	@	inf	(.f64 (.f64 x 3) x)
0.0ms	x	@	0	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
0.0ms	x	@	0	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))

rewrite124.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`associate-*r/`
1142×	`associate-*l/`
528×	`associate-+l+`
306×	`associate-/r*`
300×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	272	59
2	3549	59

Stop Event

1×	node limit

Counts

3 → 302

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))

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

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simplify144.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-/l*`
856×	`associate-r`
726×	`associate-l`
652×	`associate-+l+`
632×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	728	18046
1	2068	16056

Stop Event

1×	node limit

Counts

338 → 423

Calls

Call 1

Inputs
(*.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))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 -4 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(-.f64 (exp.f64 (log1p.f64 (.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 x) 3) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(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))))
(+.f64 3 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))))
(+.f64 3 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 1))
(+.f64 (fma.f64 3 (.f64 x (-.f64 (.f64 x 3) 4)) 3) (.f64 3 (fma.f64 -4 x (.f64 x 4))))
(+.f64 (fma.f64 3 (.f64 x (-.f64 (.f64 x 3) 4)) 3) (.f64 (fma.f64 -4 x (.f64 x 4)) 3))
(+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 3 (.f64 x -4)) 3))
(+.f64 (.f64 (.f64 x x) 9) (+.f64 (.f64 (.f64 x -4) 3) 3))
(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
(+.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) (+.f64 (.f64 3 (fma.f64 -4 x (*.f64 x 4))) 3))
(+.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) (+.f64 (.f64 (fma.f64 -4 x (*.f64 x 4)) 3) 3))
(+.f64 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 1) 3)
(+.f64 (+.f64 3 (.f64 (.f64 x x) 9)) (.f64 3 (.f64 x -4)))
(+.f64 (+.f64 3 (.f64 (.f64 x x) 9)) (.f64 (.f64 x -4) 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3 (.f64 x (-.f64 (.f64 x 3) 4)) 3))) 1)
(/.f64 3 (/.f64 1 (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) -1) (/.f64 (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) -1) 3))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3)) (/.f64 (-.f64 1 (-.f64 (.f64 x (-.f64 (.f64 x 3) 4)) (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2))) 3))
(/.f64 (.f64 3 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) -1)) (+.f64 (.f64 x (-.f64 (*.f64 x 3) 4)) -1))
(/.f64 (.f64 3 (+.f64 1 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3))) (-.f64 1 (-.f64 (.f64 x (-.f64 (.f64 x 3) 4)) (pow.f64 (.f64 x (-.f64 (*.f64 x 3) 4)) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) -1) 3) (+.f64 (.f64 x (-.f64 (*.f64 x 3) 4)) -1))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3)) 3) (-.f64 1 (-.f64 (.f64 x (-.f64 (.f64 x 3) 4)) (pow.f64 (.f64 x (-.f64 (*.f64 x 3) 4)) 2))))
(/.f64 (-.f64 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4)))) 9) (-.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 3))
(/.f64 (+.f64 27 (pow.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 3)) (+.f64 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4)))) (-.f64 9 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 3))))
(/.f64 (.f64 3 (-.f64 1 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2))) (-.f64 1 (.f64 x (-.f64 (*.f64 x 3) 4))))
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(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (pow.f64 (.f64 x -4) 3))) (-.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x -4) (.f64 x -4))) (.f64 (.f64 x (.f64 x 3)) (*.f64 x -4))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3) (pow.f64 (fma.f64 -4 x (.f64 x 4)) 3))) (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) (-.f64 (.f64 (fma.f64 -4 x (.f64 x 4)) (fma.f64 -4 x (.f64 x 4))) (.f64 (.f64 x (-.f64 (.f64 x 3) 4)) (fma.f64 -4 x (*.f64 x 4))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)))) (neg.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) (sqrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)))) (sqrt.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(/.f64 (.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) (sqrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)))) (cbrt.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) 1) (.f64 x (+.f64 (.f64 x 3) 4)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) 1) 1) (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (*.f64 x 3) 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x -4) (.f64 x -4))) 1) (-.f64 (.f64 x (.f64 x 3)) (*.f64 x -4)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) (.f64 (fma.f64 -4 x (.f64 x 4)) (fma.f64 -4 x (.f64 x 4)))) 1) (-.f64 (.f64 x (-.f64 (.f64 x 3) 4)) (fma.f64 -4 x (*.f64 x 4))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (pow.f64 (.f64 x -4) 3)) 1) (-.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x -4) (.f64 x -4))) (.f64 (.f64 x (.f64 x 3)) (*.f64 x -4))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3) (pow.f64 (fma.f64 -4 x (.f64 x 4)) 3)) 1) (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) (-.f64 (.f64 (fma.f64 -4 x (.f64 x 4)) (fma.f64 -4 x (.f64 x 4))) (.f64 (.f64 x (-.f64 (.f64 x 3) 4)) (fma.f64 -4 x (*.f64 x 4))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16))) 1) (neg.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16))) (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4)))) (sqrt.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64))) (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16))) (.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 1)) (sqrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64))) (.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 1)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (*.f64 x 3) 4))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2)) (cbrt.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (.f64 (.f64 x x) 16) (.f64 (.f64 x x) 16))) (/.f64 (/.f64 1 x) (+.f64 (.f64 x 3) 4))) (+.f64 (.f64 (.f64 x x) 16) (pow.f64 (.f64 x (.f64 x 3)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 3) (pow.f64 (.f64 (.f64 x x) 16) 3)) (/.f64 (/.f64 1 x) (+.f64 (.f64 x 3) 4))) (+.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (pow.f64 (.f64 x (.f64 x 3)) 2)) (+.f64 (.f64 (.f64 (.f64 x x) 16) (.f64 (.f64 x x) 16)) (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (*.f64 x x) 16)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x 3)) 3)) (.f64 (.f64 (pow.f64 x 3) 64) (.f64 (pow.f64 x 3) 64))) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))) (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 3) (pow.f64 (.f64 (pow.f64 x 3) 64) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))) (+.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x 3)) 3)) (+.f64 (.f64 (.f64 (pow.f64 x 3) 64) (.f64 (pow.f64 x 3) 64)) (.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) x) (+.f64 (*.f64 x 3) 4))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) (.f64 x (+.f64 (.f64 x 3) 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) (sqrt.f64 (.f64 x (+.f64 (.f64 x 3) 4)))) (sqrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) (.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))) (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))))) (cbrt.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) 1) (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (*.f64 x 3) 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (*.f64 x 3) 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) x) (+.f64 (.f64 x 3) 4))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) 1) (.f64 x (+.f64 (*.f64 x 3) 4)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) (sqrt.f64 (.f64 x (+.f64 (.f64 x 3) 4)))) (sqrt.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) (.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))) (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))))) (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) 1) 1) (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) 1) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) 1) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (*.f64 x 3) 4))))))
(pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 1)
(pow.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2)
(pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 3)
(pow.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2))
(log.f64 (exp.f64 (.f64 x (-.f64 (.f64 x 3) 4))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 (.f64 x 3) 4)))))
(cbrt.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3))
(expm1.f64 (log1p.f64 (.f64 x (-.f64 (.f64 x 3) 4))))
(exp.f64 (log.f64 (.f64 x (-.f64 (.f64 x 3) 4))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 (*.f64 x 3) 4))) 1))
(log1p.f64 (expm1.f64 (.f64 x (-.f64 (.f64 x 3) 4))))
(fma.f64 x (.f64 x 3) (.f64 x -4))
(fma.f64 (.f64 x 3) x (.f64 x -4))
(fma.f64 1 (.f64 x (.f64 x 3)) (*.f64 x -4))
(fma.f64 1 (.f64 x (-.f64 (.f64 x 3) 4)) (fma.f64 -4 x (*.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) (fma.f64 -4 x (*.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (.f64 x 3))) (*.f64 x -4))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2) (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) (fma.f64 -4 x (*.f64 x 4)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (.f64 x 3))) (*.f64 x -4))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 (*.f64 x x) 9 (fma.f64 -12 x 3))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 (*.f64 x x) 9 (fma.f64 -12 x 3))
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(.f64 x (+.f64 (.f64 x 9) -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 (*.f64 x x) 9 (fma.f64 -12 x 3))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 (*.f64 x x) 9 (fma.f64 -12 x 3))
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(.f64 x (+.f64 (.f64 x 9) -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 (*.f64 x x) 9 (fma.f64 -12 x 3))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 (*.f64 x x) 9 (fma.f64 -12 x 3))
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(sqrt.f64 (pow.f64 (.f64 x (.f64 3 x)) 2))
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) x))
(.f64 x (.f64 3 (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 3 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))))
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 3 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 1))
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (fma.f64 3 (.f64 x (-.f64 (.f64 x 3) 4)) 3) (.f64 3 (fma.f64 -4 x (.f64 x 4))))
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(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 27 (pow.f64 x 6)) (.f64 (pow.f64 x 3) -64))) (sqrt.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 x (.f64 4 (.f64 x (fma.f64 3 x 4))))))) (sqrt.f64 (.f64 x (fma.f64 3 x -4))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2)) (cbrt.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 x 16)))) (/.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 4))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))) 2) (cbrt.f64 (.f64 x (fma.f64 3 x 4)))) (cbrt.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 (.f64 x x) -16))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 4 (.f64 x (fma.f64 x 3 4)))))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) (*.f64 (pow.f64 x 3) 64)))))
(/.f64 (cbrt.f64 (+.f64 (.f64 27 (pow.f64 x 6)) (.f64 (pow.f64 x 3) -64))) (/.f64 (cbrt.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 x (.f64 4 (.f64 x (fma.f64 3 x 4)))))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (.f64 (.f64 x x) 16) (.f64 (.f64 x x) 16))) (/.f64 (/.f64 1 x) (+.f64 (.f64 x 3) 4))) (+.f64 (.f64 (.f64 x x) 16) (pow.f64 (.f64 x (.f64 x 3)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 4) (.f64 (.f64 (.f64 x x) (.f64 x x)) 256)) (/.f64 (fma.f64 (.f64 x x) 16 (pow.f64 (.f64 x (.f64 3 x)) 2)) (/.f64 1 (.f64 x (fma.f64 x 3 4)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 x x)) 4) (.f64 (pow.f64 x 4) -256)) (.f64 x (fma.f64 3 x 4))) (fma.f64 (.f64 x x) 16 (.f64 9 (pow.f64 x 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 3) (pow.f64 (.f64 (.f64 x x) 16) 3)) (/.f64 (/.f64 1 x) (+.f64 (.f64 x 3) 4))) (+.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (pow.f64 (.f64 x (.f64 x 3)) 2)) (+.f64 (.f64 (.f64 (.f64 x x) 16) (.f64 (.f64 x x) 16)) (.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (*.f64 x x) 16)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) 3) (.f64 (pow.f64 (.f64 x x) 3) 4096)) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 4) (.f64 (.f64 x (.f64 x 16)) (fma.f64 (.f64 x x) 16 (pow.f64 (.f64 x (.f64 3 x)) 2)))) (/.f64 1 (*.f64 x (fma.f64 x 3 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 9 (pow.f64 x 4)) 3) (.f64 (pow.f64 x 6) 4096)) (.f64 x (fma.f64 3 x 4))) (+.f64 (pow.f64 (.f64 3 (.f64 x x)) 4) (.f64 x (.f64 (.f64 x 16) (fma.f64 (.f64 x x) 16 (.f64 9 (pow.f64 x 4)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x 3)) 3)) (.f64 (.f64 (pow.f64 x 3) 64) (.f64 (pow.f64 x 3) 64))) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))) (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 3) (pow.f64 (.f64 (pow.f64 x 3) 64) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))) (+.f64 (.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x 3)) 3)) (+.f64 (.f64 (.f64 (pow.f64 x 3) 64) (.f64 (pow.f64 x 3) 64)) (.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)))))
(/.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 4 (.f64 x (fma.f64 x 3 4)))))) (-.f64 (pow.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) 262144))) (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 6) (.f64 (.f64 (pow.f64 x 3) 64) (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) (.f64 (pow.f64 x 3) 64)))))
(/.f64 (+.f64 (pow.f64 (.f64 27 (pow.f64 x 6)) 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -262144)) (.f64 (+.f64 (.f64 (.f64 27 (pow.f64 x 6)) (.f64 (pow.f64 x 3) 64)) (+.f64 (pow.f64 (.f64 9 (pow.f64 x 4)) 3) (.f64 (pow.f64 x 6) 4096))) (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 x (.f64 4 (.f64 x (fma.f64 3 x 4)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) x) (+.f64 (*.f64 x 3) 4))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 x 16))) (/.f64 1 (.f64 x (fma.f64 x 3 4))))
(/.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 (.f64 x x) -16)) (.f64 x (fma.f64 3 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) (.f64 x (+.f64 (.f64 x 3) 4)))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 x 16))) (/.f64 1 (.f64 x (fma.f64 x 3 4))))
(/.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 (.f64 x x) -16)) (.f64 x (fma.f64 3 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) (sqrt.f64 (.f64 x (+.f64 (.f64 x 3) 4)))) (sqrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 x 16))) (/.f64 1 (.f64 x (fma.f64 x 3 4))))
(/.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 (.f64 x x) -16)) (.f64 x (fma.f64 3 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) (.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))) (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))))) (cbrt.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 x 16))) (/.f64 1 (.f64 x (fma.f64 x 3 4))))
(/.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 (.f64 x x) -16)) (.f64 x (fma.f64 3 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) 1) (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (*.f64 x 3) 4)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) (.f64 (pow.f64 x 3) 64)) (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 4 (.f64 x (fma.f64 x 3 4))))))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 6)) (.f64 (pow.f64 x 3) -64)) (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 x (.f64 4 (.f64 x (fma.f64 3 x 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (*.f64 x 3) 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) (.f64 (pow.f64 x 3) 64)) (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 4 (.f64 x (fma.f64 x 3 4))))))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 6)) (.f64 (pow.f64 x 3) -64)) (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 x (.f64 4 (.f64 x (fma.f64 3 x 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) (.f64 (pow.f64 x 3) 64)) (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 4 (.f64 x (fma.f64 x 3 4))))))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 6)) (.f64 (pow.f64 x 3) -64)) (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 x (.f64 4 (.f64 x (fma.f64 3 x 4))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) x) (+.f64 (.f64 x 3) 4))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 x 16))) (/.f64 1 (.f64 x (fma.f64 x 3 4))))
(/.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 (.f64 x x) -16)) (.f64 x (fma.f64 3 x 4)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) 1) (.f64 x (+.f64 (*.f64 x 3) 4)))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 x 16))) (/.f64 1 (.f64 x (fma.f64 x 3 4))))
(/.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 (.f64 x x) -16)) (.f64 x (fma.f64 3 x 4)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) (sqrt.f64 (.f64 x (+.f64 (.f64 x 3) 4)))) (sqrt.f64 (.f64 x (+.f64 (*.f64 x 3) 4))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 x 16))) (/.f64 1 (.f64 x (fma.f64 x 3 4))))
(/.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 (.f64 x x) -16)) (.f64 x (fma.f64 3 x 4)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x x) 16)) 1) (.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))) (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))))) (cbrt.f64 (.f64 x (+.f64 (.f64 x 3) 4))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 x 16))) (/.f64 1 (.f64 x (fma.f64 x 3 4))))
(/.f64 (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 (.f64 x x) -16)) (.f64 x (fma.f64 3 x 4)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) 1) 1) (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) (.f64 (pow.f64 x 3) 64)) (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 4 (.f64 x (fma.f64 x 3 4))))))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 6)) (.f64 (pow.f64 x 3) -64)) (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 x (.f64 4 (.f64 x (fma.f64 3 x 4))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) 1) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) (.f64 (pow.f64 x 3) 64)) (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 4 (.f64 x (fma.f64 x 3 4))))))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 6)) (.f64 (pow.f64 x 3) -64)) (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 x (.f64 4 (.f64 x (fma.f64 3 x 4))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) 1) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (.f64 x 3) 4))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (.f64 x 4) (.f64 x (+.f64 (*.f64 x 3) 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) (.f64 (pow.f64 x 3) 64)) (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 4 (.f64 x (fma.f64 x 3 4))))))
(/.f64 (+.f64 (.f64 27 (pow.f64 x 6)) (.f64 (pow.f64 x 3) -64)) (+.f64 (.f64 9 (pow.f64 x 4)) (.f64 x (.f64 4 (.f64 x (fma.f64 3 x 4))))))
(pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 1)
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(pow.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2)
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 3)
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(pow.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3) 1/3)
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(sqrt.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2))
(fabs.f64 (*.f64 x (fma.f64 3 x -4)))
(log.f64 (exp.f64 (.f64 x (-.f64 (.f64 x 3) 4))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 (.f64 x 3) 4)))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(cbrt.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(expm1.f64 (log1p.f64 (.f64 x (-.f64 (.f64 x 3) 4))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(exp.f64 (log.f64 (.f64 x (-.f64 (.f64 x 3) 4))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 (*.f64 x 3) 4))) 1))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(log1p.f64 (expm1.f64 (.f64 x (-.f64 (.f64 x 3) 4))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 x (.f64 x 3) (.f64 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 x 3) x (.f64 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 1 (.f64 x (.f64 x 3)) (*.f64 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 1 (.f64 x (-.f64 (.f64 x 3) 4)) (fma.f64 -4 x (*.f64 x 4)))
(fma.f64 x -4 (*.f64 x (+.f64 4 (fma.f64 x 3 -4))))
(fma.f64 x (fma.f64 3 x -4) (*.f64 x 0))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) (sqrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) (fma.f64 -4 x (*.f64 x 4)))
(fma.f64 x -4 (*.f64 x (+.f64 4 (fma.f64 x 3 -4))))
(fma.f64 x (fma.f64 3 x -4) (*.f64 x 0))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (.f64 x 3))) (*.f64 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) 2) (cbrt.f64 (.f64 x (-.f64 (.f64 x 3) 4))) (fma.f64 -4 x (*.f64 x 4)))
(fma.f64 x -4 (*.f64 x (+.f64 4 (fma.f64 x 3 -4))))
(fma.f64 x (fma.f64 3 x -4) (*.f64 x 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (.f64 x 3))) (*.f64 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.15%	(.f64 x (-.f64 (.f64 3 x) 4))
✓	0.18%	(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
0.0ms	x	@	inf	(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
0.0ms	x	@	-inf	(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
0.0ms	x	@	0	(.f64 x (-.f64 (.f64 3 x) 4))
0.0ms	x	@	inf	(.f64 x (-.f64 (.f64 3 x) 4))

rewrite141.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`*-commutative`
634×	`unswap-sqr`
548×	`swap-sqr`
544×	`associate-*r/`
402×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	215	38
2	2575	38

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(.f64 x (-.f64 (.f64 3 x) 4))

Outputs
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 x)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -4) (*.f64 x (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x (*.f64 3 x))) (*.f64 1 (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 3 x)) 1) (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x 4) (*.f64 x (+.f64 (*.f64 (*.f64 x x) 9) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) (+.f64 16 (*.f64 x 12))) (*.f64 x (+.f64 (pow.f64 (*.f64 3 x) 3) -64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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(log1p.f64 (*.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 3 x -4))))))))

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1618×	`distribute-lft-in`
1564×	`distribute-rgt-in`
1534×	`associate-/l*`
886×	`associate-/r*`
508×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	277	4853
1	778	4171
2	3090	4171

Stop Event

1×	node limit

Counts

115 → 165

Calls

Call 1

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

Outputs
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 3 (.f64 3 (.f64 x (fma.f64 3 x -4))))
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3)
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3))) -1)
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3))) 1)
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(.f64 (fma.f64 3 (.f64 x (fma.f64 3 x -4)) 3) 1)
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(.f64 1 (fma.f64 3 (.f64 x (fma.f64 3 x -4)) 3))
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
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(*.f64 x (fma.f64 3 x -4))
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(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 3 x -4) 3) (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4))))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(exp.f64 (log.f64 (*.f64 x (fma.f64 3 x -4))))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 3 x -4))))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(fma.f64 x 9 -12)
✓	0.12%	(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 16 to 12 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	0	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	-inf	(fma.f64 x 9 -12)
0.0ms	x	@	inf	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	0	(fma.f64 x 9 -12)

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`add-sqr-sqrt`
1428×	`*-un-lft-identity`
1342×	`add-cube-cbrt`
1330×	`add-cbrt-cube`
1316×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	163	26
2	1750	26

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(fma.f64 x 9 -12)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 9) 1) -12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 9) 3) -1728) (+.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) (-.f64 144 (*.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 9 -12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))))

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-+r+`
1266×	`associate-/r*`
714×	`unswap-sqr`
682×	`associate-/l*`
636×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1290
1	272	998
2	1260	982
3	4577	982

Stop Event

1×	node limit

Counts

68 → 72

Calls

Call 1

Inputs
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
-12
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(+.f64 (*.f64 x (fma.f64 x 9 -12)) 3)
(+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) 1) 3)
(-.f64 (+.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3)) 1)
(*.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (.f64 x (fma.f64 x 9 -12)) 3))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) (-.f64 9 (.f64 (.f64 x (fma.f64 x 9 -12)) 3))))
(pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 -12 (*.f64 x 9))
(+.f64 (*.f64 x 9) -12)
(+.f64 (.f64 (.f64 x 9) 1) -12)
(-.f64 (+.f64 1 (fma.f64 x 9 -12)) 1)
(*.f64 (fma.f64 x 9 -12) 1)
(*.f64 1 (fma.f64 x 9 -12))
(*.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))
(*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))
(/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12))
(/.f64 (+.f64 (pow.f64 (.f64 x 9) 3) -1728) (+.f64 (.f64 (.f64 x 9) (.f64 x 9)) (-.f64 144 (.f64 (.f64 x 9) -12))))
(pow.f64 (fma.f64 x 9 -12) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)
(pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))
(log.f64 (exp.f64 (fma.f64 x 9 -12)))
(cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))
(exp.f64 (log.f64 (fma.f64 x 9 -12)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 -12)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))

Outputs
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
-12
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (*.f64 x (fma.f64 x 9 -12)) 3)
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) 1) 3)
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(-.f64 (+.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3)) 1)
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (.f64 x (fma.f64 x 9 -12)) 3))
(/.f64 (+.f64 (.f64 (.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2)) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (fma.f64 (*.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) (-.f64 9 (.f64 (.f64 x (fma.f64 x 9 -12)) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (.f64 (.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2)) (-.f64 9 (.f64 3 (*.f64 x (fma.f64 x 9 -12))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (fma.f64 x (.f64 (pow.f64 (fma.f64 x 9 -12) 2) x) 9) (.f64 (.f64 x (fma.f64 x 9 -12)) -3)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 9 (.f64 (*.f64 x (fma.f64 x 9 -12)) (fma.f64 x (fma.f64 x 9 -12) -3))))
(pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 1))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 -12 (*.f64 x 9))
(fma.f64 x 9 -12)
(+.f64 (*.f64 x 9) -12)
(fma.f64 x 9 -12)
(+.f64 (.f64 (.f64 x 9) 1) -12)
(fma.f64 x 9 -12)
(-.f64 (+.f64 1 (fma.f64 x 9 -12)) 1)
(fma.f64 x 9 -12)
(*.f64 (fma.f64 x 9 -12) 1)
(fma.f64 x 9 -12)
(*.f64 1 (fma.f64 x 9 -12))
(fma.f64 x 9 -12)
(*.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))
(fma.f64 x 9 -12)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12))
(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (+.f64 (pow.f64 (.f64 x 9) 3) -1728) (+.f64 (.f64 (.f64 x 9) (.f64 x 9)) (-.f64 144 (.f64 (.f64 x 9) -12))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 729) -1728) (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (.f64 x -108))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (fma.f64 x (.f64 81 x) (+.f64 144 (.f64 x 108))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (fma.f64 x (*.f64 x 81) (fma.f64 x 108 144)))
(pow.f64 (fma.f64 x 9 -12) 1)
(fma.f64 x 9 -12)
(pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)
(fma.f64 x 9 -12)
(pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)
(fma.f64 x 9 -12)
(pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)
(fma.f64 x 9 -12)
(sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))
(fma.f64 x 9 -12)
(log.f64 (exp.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))
(fma.f64 x 9 -12)
(expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(exp.f64 (log.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 -12)) 1))
(fma.f64 x 9 -12)
(log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)

eval432.0ms (6.3%)

Compiler: Compiled 17362 to 13591 computations (21.7% saved)

prune127.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	649	11	660
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	652	11	663

Error

Counts

663 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.16%	(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12)) 3)
▶	3.77%	(fma.f64 3 (.f64 3 (.f64 x x)) 3)
	20.46%	(/.f64 (+.f64 27 (pow.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 3)) (+.f64 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4)))) (-.f64 9 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 3))))
▶	0.14%	(+.f64 (+.f64 3 (.f64 (.f64 x x) 9)) (.f64 (.f64 x -4) 3))
	0.21%	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
▶	30.29%	(+.f64 (*.f64 -12 x) 3)
▶	67.86%	(.f64 x (+.f64 (.f64 x 9) -12))
	68.23%	(.f64 x (.f64 x 9))
▶	68.23%	(.f64 9 (.f64 x x))
	30.3%	(.f64 3 (+.f64 (.f64 x -4) 1))
	30.81%	3

Compiler

Compiled 274 to 220 computations (19.7% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.03%	(+.f64 (+.f64 3 (.f64 (.f64 x x) 9)) (.f64 (.f64 x -4) 3))
✓	0.3%	(.f64 (.f64 x x) 9)

Compiler

Compiled 41 to 26 computations (36.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`associate-*r/`
988×	`distribute-rgt-in`
944×	`distribute-lft-in`
906×	`associate-*l/`
392×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	267	36
2	3479	36

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

Inputs
(.f64 (.f64 x x) 9)
(+.f64 (+.f64 3 (.f64 (.f64 x x) 9)) (.f64 (.f64 x -4) 3))

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 3) 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 (*.f64 2 (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 3))) 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 x 9)))) (-.f64 1 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -12))) (-.f64 1 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) 3))) (-.f64 1 (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (-.f64 (fma.f64 x (*.f64 x 9) 3) (*.f64 x -12))) (/.f64 (*.f64 (*.f64 x x) 144) (-.f64 (fma.f64 x (*.f64 x 9) 3) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 9 (+.f64 3 (*.f64 -9 (*.f64 x x)))) (-.f64 (/.f64 (*.f64 81 (pow.f64 x 4)) (+.f64 3 (*.f64 -9 (*.f64 x x)))) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 x (*.f64 x 9) 3) (exp.f64 (log1p.f64 (*.f64 x -12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x -12) (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x -12) (/.f64 9 (+.f64 3 (*.f64 -9 (*.f64 x x))))) (/.f64 (*.f64 81 (pow.f64 x 4)) (+.f64 3 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 3 (*.f64 x -12)) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))) (sqrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))) (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))) 2) (cbrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144)) (/.f64 1 (-.f64 (fma.f64 x (*.f64 x 9) 3) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (fma.f64 x (*.f64 x 9) 3) (*.f64 x -12))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3))))) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144))) (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3))) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2)) (*.f64 (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3))) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) 3) (pow.f64 (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3))) 3))) (+.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2)) (-.f64 (*.f64 (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3))) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))) (*.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) (/.f64 (-.f64 (fma.f64 x (*.f64 x 9) 3) (*.f64 x -12)) (-.f64 (fma.f64 x (*.f64 x 9) 3) (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144)) (-.f64 (fma.f64 x (*.f64 x 9) 3) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))) (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144))) (/.f64 (-.f64 (fma.f64 x (*.f64 x 9) 3) (*.f64 x -12)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) (pow.f64 (*.f64 x -12) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2) (*.f64 (*.f64 x x) 144)))) (/.f64 (-.f64 (fma.f64 x (*.f64 x 9) 3) (*.f64 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simplify107.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1648×	`associate-/r*`
828×	`associate-/r/`
764×	`associate-/l/`
572×	`+-commutative`
560×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	306	7926
1	905	7508
2	4256	7508

Stop Event

1×	node limit

Counts

130 → 181

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))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x x) 144)) (+.f64 (sqrt.f64 (.f64 x -12)) (sqrt.f64 (fma.f64 x (.f64 x 9) 3)))) (-.f64 (sqrt.f64 (fma.f64 x (.f64 x 9) 3)) (sqrt.f64 (*.f64 x -12))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 3) (pow.f64 (.f64 x -12) 3)) 1) (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (*.f64 x 9) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 3) (pow.f64 (.f64 x -12) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (.f64 x 9) 3)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (.f64 x 9) 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 3) (pow.f64 (.f64 x -12) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (.f64 x 9) 3))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (.f64 x 9) 3))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (.f64 x 9) 3))))))
(pow.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))) 3)
(pow.f64 (pow.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) 2))
(log.f64 (exp.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)))))
(cbrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))
(exp.f64 (log.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))
(exp.f64 (.f64 (log.f64 (fma.f64 x -12 (fma.f64 x (.f64 x 9) 3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))
(fma.f64 3 (.f64 x -4) (fma.f64 x (.f64 x 9) 3))
(fma.f64 (.f64 x -4) 3 (fma.f64 x (.f64 x 9) 3))
(fma.f64 1 (fma.f64 x (.f64 x 9) 3) (.f64 x -12))
(fma.f64 1 (.f64 x -12) (fma.f64 x (.f64 x 9) 3))
(fma.f64 (sqrt.f64 (.f64 x -12)) (sqrt.f64 (.f64 x -12)) (fma.f64 x (*.f64 x 9) 3))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 x 9) 3)) (sqrt.f64 (fma.f64 x (.f64 x 9) 3)) (*.f64 x -12))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -12)) 2) (cbrt.f64 (.f64 x -12)) (fma.f64 x (*.f64 x 9) 3))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) 3)) 2) (cbrt.f64 (fma.f64 x (.f64 x 9) 3)) (*.f64 x -12))

Outputs
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 x (fma.f64 9 x -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 x (fma.f64 9 x -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9)))) 1)
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(pow.f64 (.f64 x (.f64 x 9)) 1)
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(pow.f64 (*.f64 x 3) 2)
(.f64 9 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 9))) 3)
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(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))
(pow.f64 (*.f64 x 3) 2)
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 9)))))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(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))
(pow.f64 (*.f64 x 3) 2)
(exp.f64 (.f64 2 (log.f64 (.f64 x 3))))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 3))) 1))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 9))))
(.f64 9 (.f64 x x))
(pow.f64 (*.f64 x 3) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9)))) (-.f64 1 (+.f64 3 (*.f64 x -12))))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x -12))) (-.f64 1 (fma.f64 x (.f64 x 9) 3)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x -12))) 1) (fma.f64 x (.f64 9 x) 3))
(+.f64 (fma.f64 9 (.f64 x x) 3) (expm1.f64 (log1p.f64 (.f64 x -12))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x 9) 3))) (-.f64 1 (.f64 x -12)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 9 x) 3))) 1) (.f64 x -12))
(fma.f64 x -12 (expm1.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3)))) 1)
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (-.f64 (fma.f64 x (.f64 x 9) 3) (.f64 x -12))) (/.f64 (.f64 (.f64 x x) 144) (-.f64 (fma.f64 x (.f64 x 9) 3) (*.f64 x -12))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 2) (.f64 x (.f64 x 144))) (-.f64 (fma.f64 x (.f64 9 x) 3) (*.f64 x -12)))
(/.f64 (+.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 2) (.f64 (.f64 x x) -144)) (+.f64 (fma.f64 9 (.f64 x x) 3) (*.f64 x 12)))
(-.f64 (/.f64 9 (+.f64 3 (.f64 -9 (.f64 x x)))) (-.f64 (/.f64 (.f64 81 (pow.f64 x 4)) (+.f64 3 (.f64 -9 (.f64 x x)))) (.f64 x -12)))
(+.f64 (-.f64 (/.f64 9 (+.f64 3 (.f64 (.f64 x x) -9))) (/.f64 (.f64 81 (pow.f64 x 4)) (+.f64 3 (.f64 (.f64 x x) -9)))) (.f64 x -12))
(-.f64 (fma.f64 x -12 (/.f64 9 (fma.f64 (.f64 x x) -9 3))) (.f64 (/.f64 81 (fma.f64 (*.f64 x x) -9 3)) (pow.f64 x 4)))
(+.f64 (fma.f64 x -12 (/.f64 9 (fma.f64 (.f64 x x) -9 3))) (.f64 (/.f64 -81 (fma.f64 (*.f64 x x) -9 3)) (pow.f64 x 4)))
(-.f64 (+.f64 (fma.f64 x (.f64 x 9) 3) (exp.f64 (log1p.f64 (.f64 x -12)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x -12))) 1) (fma.f64 x (.f64 9 x) 3))
(+.f64 (fma.f64 9 (.f64 x x) 3) (expm1.f64 (log1p.f64 (.f64 x -12))))
(-.f64 (+.f64 (.f64 x -12) (exp.f64 (log1p.f64 (fma.f64 x (.f64 x 9) 3)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 9 x) 3))) 1) (.f64 x -12))
(fma.f64 x -12 (expm1.f64 (log1p.f64 (fma.f64 9 (*.f64 x x) 3))))
(-.f64 (+.f64 (.f64 x -12) (/.f64 9 (+.f64 3 (.f64 -9 (.f64 x x))))) (/.f64 (.f64 81 (pow.f64 x 4)) (+.f64 3 (.f64 -9 (.f64 x x)))))
(+.f64 (-.f64 (/.f64 9 (+.f64 3 (.f64 (.f64 x x) -9))) (/.f64 (.f64 81 (pow.f64 x 4)) (+.f64 3 (.f64 (.f64 x x) -9)))) (.f64 x -12))
(-.f64 (fma.f64 x -12 (/.f64 9 (fma.f64 (.f64 x x) -9 3))) (.f64 (/.f64 81 (fma.f64 (*.f64 x x) -9 3)) (pow.f64 x 4)))
(+.f64 (fma.f64 x -12 (/.f64 9 (fma.f64 (.f64 x x) -9 3))) (.f64 (/.f64 -81 (fma.f64 (*.f64 x x) -9 3)) (pow.f64 x 4)))
(-.f64 (+.f64 (+.f64 3 (.f64 x -12)) (exp.f64 (log1p.f64 (.f64 x (*.f64 x 9))))) 1)
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(.f64 (fma.f64 x -12 (fma.f64 x (.f64 x 9) 3)) 1)
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(.f64 1 (fma.f64 x -12 (fma.f64 x (.f64 x 9) 3)))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(.f64 (sqrt.f64 (fma.f64 x -12 (fma.f64 x (.f64 x 9) 3))) (sqrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 x (.f64 x 9) 3))) (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))) 2))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 x (.f64 x 9) 3))) 2) (cbrt.f64 (fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x x) 144)) (/.f64 1 (-.f64 (fma.f64 x (.f64 x 9) 3) (.f64 x -12))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 2) (.f64 x (.f64 x 144))) (-.f64 (fma.f64 x (.f64 9 x) 3) (*.f64 x -12)))
(/.f64 (+.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 2) (.f64 (.f64 x x) -144)) (+.f64 (fma.f64 9 (.f64 x x) 3) (*.f64 x 12)))
(.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 3) (pow.f64 (.f64 x -12) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (.f64 x 9) 3))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 3) (.f64 (pow.f64 x 3) -1728)) (+.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (*.f64 9 x) 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3)) (fma.f64 x (.f64 -12 (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3))) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3)) (fma.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3)) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)))
(.f64 (/.f64 1 (-.f64 (fma.f64 x (.f64 x 9) 3) (.f64 x -12))) (-.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x x) 144)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 2) (.f64 x (.f64 x 144))) (-.f64 (fma.f64 x (.f64 9 x) 3) (*.f64 x -12)))
(/.f64 (+.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 2) (.f64 (.f64 x x) -144)) (+.f64 (fma.f64 9 (.f64 x x) 3) (*.f64 x 12)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (.f64 x 9) 3))))) (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 3) (pow.f64 (.f64 x -12) 3)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 3) (.f64 (pow.f64 x 3) -1728)) (+.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 x (*.f64 9 x) 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3)) (fma.f64 x (.f64 -12 (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3))) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3)) (fma.f64 (.f64 x -12) (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3)) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x x) 144)) (-.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x x) 144))) (fma.f64 x -12 (fma.f64 x (.f64 x 9) 3)))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x x) 144)) (-.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 3) (pow.f64 (.f64 x -12) 3))) (+.f64 (pow.f64 (fma.f64 x (.f64 x 9) 3) 2) (.f64 (.f64 x -12) (fma.f64 x -12 (fma.f64 x (.f64 x 9) 3)))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 2) (.f64 x (.f64 x 144))) (-.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 3) (.f64 (pow.f64 x 3) -1728))) (+.f64 (pow.f64 (fma.f64 x (.f64 9 x) 3) 2) (.f64 x (.f64 -12 (fma.f64 x -12 (fma.f64 x (.f64 9 x) 3))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 2) (.f64 (.f64 x x) -144)) (/.f64 (+.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3) (.f64 (pow.f64 x 3) 1728)) (fma.f64 x (.f64 -12 (+.f64 3 (.f64 x (fma.f64 9 x -12)))) (pow.f64 (fma.f64 9 (.f64 x x) 3) 2))))
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(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -12)) 2) (cbrt.f64 (.f64 x -12)) (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) 3)) 2) (cbrt.f64 (fma.f64 x (.f64 x 9) 3)) (*.f64 x -12))
(fma.f64 x -12 (fma.f64 x (*.f64 9 x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3%	(.f64 9 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 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	@	-inf	(.f64 9 (.f64 x x))

rewrite92.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`add-sqr-sqrt`
1052×	`*-un-lft-identity`
1000×	`pow1`
984×	`add-cube-cbrt`
976×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	123	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 9 (.f64 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 x 3) 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 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 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))))))))

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1554×	`distribute-rgt-in`
1528×	`distribute-lft-in`
1296×	`log-prod`
852×	`associate-r`
768×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	299
1	92	299
2	345	299
3	2128	299

Stop Event

1×	node limit

Counts

23 → 13

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

localize5.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 x 9) -12)
✓	0.16%	(.f64 x (+.f64 (.f64 x 9) -12))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 x (+.f64 (.f64 x 9) -12))
0.0ms	x	@	0	(.f64 x (+.f64 (.f64 x 9) -12))
0.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 x 9) -12))
0.0ms	x	@	-inf	(+.f64 (*.f64 x 9) -12)
0.0ms	x	@	inf	(+.f64 (*.f64 x 9) -12)

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`add-sqr-sqrt`
1802×	`*-un-lft-identity`
1702×	`add-cube-cbrt`
1682×	`add-cbrt-cube`
172×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	180	24
2	2248	24

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 x 9) -12))
(+.f64 (*.f64 x 9) -12)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -12) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 9)) 1) (*.f64 (*.f64 x -12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) 81) -144)) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1728 (*.f64 (pow.f64 x 3) 729))) (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 144 (*.f64 x -108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) x) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1728 (*.f64 (pow.f64 x 3) 729)) x) (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 144 (*.f64 x -108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 9)) (*.f64 x (*.f64 x 9))) (*.f64 (*.f64 x -12) (*.f64 x -12))) (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9)) 3) (pow.f64 (*.f64 x -12) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 9)) (*.f64 x (*.f64 x 9))) (-.f64 (*.f64 (*.f64 x -12) (*.f64 x -12)) (*.f64 (*.f64 x (*.f64 x 9)) (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 9 -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 9 -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 9) x (*.f64 x -12))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 81) (fma.f64 x 9 12)) (/.f64 144 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1728 (*.f64 (pow.f64 x 3) 729)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 144 (*.f64 x -108)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (*.f64 (*.f64 x x) 81) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 144 (*.f64 x -108))) (+.f64 -1728 (*.f64 (pow.f64 x 3) 729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (fma.f64 x 9 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1728 (*.f64 (pow.f64 x 3) 729)) (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 144 (*.f64 x -108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1728 (*.f64 (pow.f64 x 3) 729)) (+.f64 144 (-.f64 (*.f64 (*.f64 x x) 81) (*.f64 x -108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 144 (*.f64 (*.f64 x x) 81)) (-.f64 -12 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144)) (neg.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1728 (*.f64 (pow.f64 x 3) 729))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 144 (*.f64 x -108)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 9 -12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9 -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 3) (*.f64 (sqrt.f64 x) 3) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81)) (cbrt.f64 (*.f64 x 9)) -12)))))

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1476×	`associate-*r/`
796×	`unswap-sqr`
758×	`*-commutative`
736×	`fma-def`
726×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	1664
1	399	1564
2	1679	1390
3	7275	1348

Stop Event

1×	node limit

Counts

82 → 85

Calls

Call 1

Inputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
-12
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))
(+.f64 (.f64 (.f64 x (.f64 x 9)) 1) (.f64 (*.f64 x -12) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12)))) 1)
(/.f64 (.f64 x (+.f64 (.f64 (*.f64 x x) 81) -144)) (fma.f64 x 9 12))
(/.f64 (.f64 x (+.f64 -1728 (.f64 (pow.f64 x 3) 729))) (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (*.f64 x -108))))
(/.f64 (.f64 (+.f64 (.f64 (*.f64 x x) 81) -144) x) (fma.f64 x 9 12))
(/.f64 (.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) x) (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (*.f64 x -108))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9))) (.f64 (.f64 x -12) (.f64 x -12))) (-.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) (pow.f64 (.f64 x -12) 3)) (+.f64 (.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9))) (-.f64 (.f64 (.f64 x -12) (.f64 x -12)) (.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)))))
(pow.f64 (*.f64 x (fma.f64 x 9 -12)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 9 -12)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 9 -12))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 -12))))
(fma.f64 x (.f64 x 9) (.f64 x -12))
(fma.f64 (.f64 x 9) x (.f64 x -12))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 81) (fma.f64 x 9 12)) (/.f64 144 (fma.f64 x 9 12)))
(*.f64 (fma.f64 x 9 -12) 1)
(*.f64 1 (fma.f64 x 9 -12))
(*.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))
(*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))
(.f64 (+.f64 (.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12)))
(.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (*.f64 x -108)))))
(/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (.f64 x x) 81) -144)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (.f64 x -108))) (+.f64 -1728 (.f64 (pow.f64 x 3) 729))))
(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12))
(/.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (.f64 x -108))))
(/.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (+.f64 144 (-.f64 (.f64 (.f64 x x) 81) (.f64 x -108))))
(/.f64 (-.f64 144 (.f64 (.f64 x x) 81)) (-.f64 -12 (*.f64 x 9)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 81) -144)) (neg.f64 (fma.f64 x 9 12)))
(/.f64 (neg.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729))) (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (.f64 x -108)))))
(pow.f64 (fma.f64 x 9 -12) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)
(pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))
(log.f64 (exp.f64 (fma.f64 x 9 -12)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))
(cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))
(exp.f64 (log.f64 (fma.f64 x 9 -12)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 -12)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(fma.f64 9 x -12)
(fma.f64 1 (*.f64 x 9) -12)
(fma.f64 (.f64 (sqrt.f64 x) 3) (.f64 (sqrt.f64 x) 3) -12)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 81)) (cbrt.f64 (*.f64 x 9)) -12)

Outputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 9 -12))
-12
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 (.f64 x (.f64 x 9)) 1) (.f64 (*.f64 x -12) 1))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12)))) 1)
(*.f64 x (fma.f64 x 9 -12))
(/.f64 (.f64 x (+.f64 (.f64 (*.f64 x x) 81) -144)) (fma.f64 x 9 12))
(/.f64 x (/.f64 (fma.f64 x 9 12) (fma.f64 (*.f64 x x) 81 -144)))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) x)
(.f64 (fma.f64 x (.f64 x 81) -144) (/.f64 x (fma.f64 x 9 12)))
(/.f64 x (/.f64 1 (fma.f64 x 9 -12)))
(/.f64 (.f64 x (+.f64 -1728 (.f64 (pow.f64 x 3) 729))) (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (*.f64 x -108))))
(/.f64 x (/.f64 (fma.f64 (.f64 x x) 81 (-.f64 144 (.f64 x -108))) (+.f64 -1728 (*.f64 (pow.f64 x 3) 729))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 729 -1728)) (+.f64 144 (.f64 x (-.f64 (*.f64 x 81) -108))))
(*.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (/.f64 x (fma.f64 x (fma.f64 x 81 108) 144)))
(/.f64 (.f64 (+.f64 (.f64 (*.f64 x x) 81) -144) x) (fma.f64 x 9 12))
(/.f64 x (/.f64 (fma.f64 x 9 12) (fma.f64 (*.f64 x x) 81 -144)))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) x)
(.f64 (fma.f64 x (.f64 x 81) -144) (/.f64 x (fma.f64 x 9 12)))
(/.f64 x (/.f64 1 (fma.f64 x 9 -12)))
(/.f64 (.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) x) (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (*.f64 x -108))))
(/.f64 x (/.f64 (fma.f64 (.f64 x x) 81 (-.f64 144 (.f64 x -108))) (+.f64 -1728 (*.f64 (pow.f64 x 3) 729))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 729 -1728)) (+.f64 144 (.f64 x (-.f64 (*.f64 x 81) -108))))
(*.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (/.f64 x (fma.f64 x (fma.f64 x 81 108) 144)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9))) (.f64 (.f64 x -12) (.f64 x -12))) (-.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)))
(/.f64 x (/.f64 (fma.f64 x 9 12) (fma.f64 (*.f64 x x) 81 -144)))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) x)
(.f64 (fma.f64 x (.f64 x 81) -144) (/.f64 x (fma.f64 x 9 12)))
(/.f64 x (/.f64 1 (fma.f64 x 9 -12)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) (pow.f64 (.f64 x -12) 3)) (+.f64 (.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9))) (-.f64 (.f64 (.f64 x -12) (.f64 x -12)) (.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) (.f64 (pow.f64 x 3) -1728)) (fma.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9)) (.f64 (.f64 -12 x) (-.f64 (.f64 -12 x) (.f64 x (.f64 x 9))))))
(/.f64 (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) 729 -1728)) (+.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x 81) 144)) (.f64 (.f64 9 (pow.f64 x 3)) 12)))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 -12 (.f64 x (fma.f64 x -9 -12))) (*.f64 81 (pow.f64 x 4))) (fma.f64 (pow.f64 x 3) 729 -1728)))
(pow.f64 (*.f64 x (fma.f64 x 9 -12)) 1)
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2)
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 3)
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 1/3)
(*.f64 x (fma.f64 x 9 -12))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 9 -12)))))
(*.f64 x (fma.f64 x 9 -12))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3))
(*.f64 x (fma.f64 x 9 -12))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12))))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12))))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 9 -12))) 1))
(*.f64 x (fma.f64 x 9 -12))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 -12))))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 x (.f64 x 9) (.f64 x -12))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x 9) x (.f64 x -12))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)
(fma.f64 x 9 -12)
(-.f64 (/.f64 (.f64 (.f64 x x) 81) (fma.f64 x 9 12)) (/.f64 144 (fma.f64 x 9 12)))
(-.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 144 (fma.f64 x 9 12)))
(+.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(*.f64 (fma.f64 x 9 -12) 1)
(fma.f64 x 9 -12)
(*.f64 1 (fma.f64 x 9 -12))
(fma.f64 x 9 -12)
(*.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))
(fma.f64 x 9 -12)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(.f64 (+.f64 (.f64 (*.f64 x x) 81) -144) (/.f64 1 (fma.f64 x 9 12)))
(-.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 144 (fma.f64 x 9 12)))
(+.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (*.f64 x -108)))))
(.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (/.f64 1 (fma.f64 (.f64 x x) 81 (-.f64 144 (.f64 x -108)))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (+.f64 144 (.f64 x (-.f64 (.f64 x 81) -108))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (fma.f64 x (fma.f64 x 81 108) 144))
(/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (.f64 x x) 81) -144)))
(-.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 144 (fma.f64 x 9 12)))
(+.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (.f64 x -108))) (+.f64 -1728 (.f64 (pow.f64 x 3) 729))))
(.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (/.f64 1 (fma.f64 (.f64 x x) 81 (-.f64 144 (.f64 x -108)))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (+.f64 144 (.f64 x (-.f64 (.f64 x 81) -108))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (fma.f64 x (fma.f64 x 81 108) 144))
(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12))
(-.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 144 (fma.f64 x 9 12)))
(+.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (.f64 x -108))))
(.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (/.f64 1 (fma.f64 (.f64 x x) 81 (-.f64 144 (.f64 x -108)))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (+.f64 144 (.f64 x (-.f64 (.f64 x 81) -108))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (fma.f64 x (fma.f64 x 81 108) 144))
(/.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (+.f64 144 (-.f64 (.f64 (.f64 x x) 81) (.f64 x -108))))
(.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (/.f64 1 (fma.f64 (.f64 x x) 81 (-.f64 144 (.f64 x -108)))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (+.f64 144 (.f64 x (-.f64 (.f64 x 81) -108))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (fma.f64 x (fma.f64 x 81 108) 144))
(/.f64 (-.f64 144 (.f64 (.f64 x x) 81)) (-.f64 -12 (*.f64 x 9)))
(-.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 144 (fma.f64 x 9 12)))
(+.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 81) -144)) (neg.f64 (fma.f64 x 9 12)))
(-.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 144 (fma.f64 x 9 12)))
(+.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (neg.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729))) (neg.f64 (+.f64 (.f64 (.f64 x x) 81) (-.f64 144 (.f64 x -108)))))
(.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (/.f64 1 (fma.f64 (.f64 x x) 81 (-.f64 144 (.f64 x -108)))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (+.f64 144 (.f64 x (-.f64 (.f64 x 81) -108))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (fma.f64 x (fma.f64 x 81 108) 144))
(pow.f64 (fma.f64 x 9 -12) 1)
(fma.f64 x 9 -12)
(pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)
(fma.f64 x 9 -12)
(pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)
(fma.f64 x 9 -12)
(pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)
(fma.f64 x 9 -12)
(sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))
(fma.f64 x 9 -12)
(log.f64 (exp.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))
(fma.f64 x 9 -12)
(cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))
(fma.f64 x 9 -12)
(expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(exp.f64 (log.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 -12)) 1))
(fma.f64 x 9 -12)
(log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(fma.f64 x 9 -12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(fma.f64 1 (*.f64 x 9) -12)
(fma.f64 x 9 -12)
(fma.f64 (.f64 (sqrt.f64 x) 3) (.f64 (sqrt.f64 x) 3) -12)
(fma.f64 x 9 -12)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 81)) (cbrt.f64 (*.f64 x 9)) -12)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 81))) (cbrt.f64 (*.f64 x 9)) -12)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2%	(fma.f64 3 (.f64 3 (.f64 x x)) 3)
✓	0.3%	(.f64 3 (.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite100.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`add-sqr-sqrt`
1460×	`*-un-lft-identity`
1352×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1326×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	162	32
2	1889	32

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))
(fma.f64 3 (.f64 3 (.f64 x x)) 3)

Outputs

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

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

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1362×	`associate-+l+`
1264×	`associate-+r+`
898×	`associate-/r*`
544×	`unswap-sqr`
408×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	890
1	226	872
2	986	866
3	3203	866

Stop Event

1×	node limit

Counts

58 → 51

Calls

Call 1

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

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
3
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(-.f64 (+.f64 1 (.f64 3 (.f64 x x))) 1)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(pow.f64 (.f64 3 (.f64 x x)) 1)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 3)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 3 (.f64 x x)) 3) 1/3)
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 9))
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 3))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 x x))) 1))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 3 x) x)
(.f64 3 (.f64 x x))
(+.f64 3 (.f64 9 (.f64 x x)))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(+.f64 (.f64 9 (.f64 x x)) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(+.f64 (.f64 (.f64 9 (*.f64 x x)) 1) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(-.f64 (+.f64 1 (+.f64 3 (.f64 9 (.f64 x x)))) 1)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(.f64 (+.f64 3 (.f64 9 (*.f64 x x))) 1)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(.f64 1 (+.f64 3 (.f64 9 (*.f64 x x))))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(.f64 (sqrt.f64 (+.f64 3 (.f64 9 (.f64 x x)))) (sqrt.f64 (+.f64 3 (.f64 9 (*.f64 x x)))))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(.f64 (cbrt.f64 (+.f64 3 (.f64 9 (.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 3 (.f64 9 (*.f64 x x)))) 2))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 3 (.f64 9 (.f64 x x)))) 2) (cbrt.f64 (+.f64 3 (.f64 9 (*.f64 x x)))))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(/.f64 (-.f64 (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x))) 9) (-.f64 (.f64 9 (*.f64 x x)) 3))
(/.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -9) (fma.f64 9 (.f64 x x) -3))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (+.f64 (pow.f64 (.f64 9 (.f64 x x)) 3) 27) (+.f64 (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x))) (-.f64 9 (.f64 (.f64 9 (.f64 x x)) 3))))
(/.f64 (+.f64 (.f64 729 (pow.f64 (.f64 x x) 3)) 27) (+.f64 (.f64 81 (pow.f64 x 4)) (-.f64 9 (.f64 9 (.f64 (.f64 3 x) x)))))
(/.f64 (fma.f64 729 (pow.f64 (.f64 x x) 3) 27) (fma.f64 81 (pow.f64 x 4) (-.f64 9 (.f64 (*.f64 x x) 27))))
(/.f64 (fma.f64 729 (pow.f64 x 6) 27) (+.f64 (fma.f64 (pow.f64 x 4) 81 9) (.f64 (.f64 x x) -27)))
(pow.f64 (+.f64 3 (.f64 9 (.f64 x x))) 1)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(pow.f64 (sqrt.f64 (+.f64 3 (.f64 9 (.f64 x x)))) 2)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(pow.f64 (cbrt.f64 (+.f64 3 (.f64 9 (.f64 x x)))) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(pow.f64 (pow.f64 (+.f64 3 (.f64 9 (.f64 x x))) 3) 1/3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(sqrt.f64 (pow.f64 (+.f64 3 (.f64 9 (.f64 x x))) 2))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(log.f64 (exp.f64 (+.f64 3 (.f64 9 (.f64 x x)))))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(cbrt.f64 (pow.f64 (+.f64 3 (.f64 9 (.f64 x x))) 3))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(expm1.f64 (log1p.f64 (+.f64 3 (.f64 9 (.f64 x x)))))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(exp.f64 (log.f64 (+.f64 3 (.f64 9 (.f64 x x)))))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(exp.f64 (.f64 (log.f64 (+.f64 3 (.f64 9 (*.f64 x x)))) 1))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(log1p.f64 (expm1.f64 (+.f64 3 (.f64 9 (.f64 x x)))))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)

eval278.0ms (4%)

Compiler: Compiled 8057 to 5868 computations (27.2% saved)

prune92.0ms (1.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	327	3	330
Fresh	1	5	6
Picked	1	0	1
Done	0	4	4
Total	329	12	341

Error

Counts

341 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.16%	(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12)) 3)
	68.31%	(pow.f64 (*.f64 x 3) 2)
✓	0.14%	(+.f64 (+.f64 3 (.f64 (.f64 x x) 9)) (.f64 (.f64 x -4) 3))
▶	0.21%	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
✓	30.29%	(+.f64 (*.f64 -12 x) 3)
	68%	(.f64 x (/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (*.f64 x x) 81) -144))))
✓	67.86%	(.f64 x (+.f64 (.f64 x 9) -12))
▶	68.23%	(.f64 x (.f64 x 9))
▶	96.14%	(*.f64 x -12)
✓	68.23%	(.f64 9 (.f64 x x))
▶	30.3%	(.f64 3 (+.f64 (.f64 x -4) 1))
	30.81%	3

Compiler

Compiled 180 to 142 computations (21.1% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (*.f64 x 9) -12)
✓	0.12%	(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12)) 3)
✓	0.26%	(/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12))
✓	0.49%	(.f64 (.f64 x 9) (*.f64 x 9))

Compiler

Compiled 63 to 49 computations (22.2% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x 9) (*.f64 x 9))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12))
0.0ms	x	@	0	(.f64 (.f64 x 9) (*.f64 x 9))
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12))

rewrite151.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`associate-/r/`
864×	`associate-/l/`
810×	`distribute-rgt-in`
754×	`distribute-lft-in`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	96
1	319	48
2	4157	48

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(.f64 (.f64 x 9) (*.f64 x 9))
(/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12))
(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12)) 3)
(-.f64 (*.f64 x 9) -12)

Outputs
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#<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 9 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9 12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x 12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 9) 12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) 12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x (.f64 81 x))) (cbrt.f64 (.f64 x 9)) 12)))))

simplify179.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-r`
1348×	`associate-l`
1022×	`associate-/r*`
898×	`distribute-lft-in`
844×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	585	11093
1	1803	10591

Stop Event

1×	node limit

Counts

273 → 355

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))
-12
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
12
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(*.f64 9 x)
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(*.f64 9 x)
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 81 x)))) 1)
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (.f64 x (.f64 81 x)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 81 x))) 3)
(pow.f64 (pow.f64 (*.f64 x 9) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 9) 4))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 81 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 81 x)))))
(cbrt.f64 (pow.f64 (*.f64 x 9) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 81 x))))
(exp.f64 (log.f64 (.f64 x (.f64 81 x))))
(exp.f64 (.f64 (log.f64 (.f64 x 9)) 2))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 81 x))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 81 x))))
(+.f64 (*.f64 x 9) -12)
(+.f64 -12 (*.f64 x 9))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 81 x))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) (.f64 1 (neg.f64 (/.f64 144 (fma.f64 x 9 12)))))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) (.f64 (/.f64 1 (fma.f64 x 9 12)) -144))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) (.f64 -144 (/.f64 1 (fma.f64 x 9 12))))
(+.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 81 x))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144) (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144)) (.f64 x 9)) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144)) -12))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144)) -12) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144)) (*.f64 x 9)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144)) (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x)))) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144)) (neg.f64 (/.f64 144 (fma.f64 x 9 12)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (.f64 x (.f64 81 x))) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (+.f64 144 (*.f64 x -108))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (+.f64 144 (.f64 x -108))) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (.f64 x (*.f64 81 x))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (fma.f64 x (.f64 81 x) 144)) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (.f64 x -108)))
(+.f64 (.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) 1) (*.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) 1))
(+.f64 (.f64 -144 (/.f64 1 (fma.f64 x 9 12))) (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))))
(+.f64 (.f64 (.f64 x 9) (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144))) (.f64 -12 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144))))
(+.f64 (.f64 -12 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144))) (.f64 (.f64 x 9) (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144))))
(+.f64 (.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144))) (.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144))))
(+.f64 (.f64 (.f64 x (.f64 81 x)) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728))) (.f64 (+.f64 144 (.f64 x -108)) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (*.f64 (pow.f64 x 3) 729) 1728))))
(+.f64 (.f64 (+.f64 144 (.f64 x -108)) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728))) (.f64 (.f64 x (.f64 81 x)) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (*.f64 (pow.f64 x 3) 729) 1728))))
(+.f64 (.f64 (fma.f64 x (.f64 81 x) 144) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728))) (.f64 (.f64 x -108) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728))))
(-.f64 (*.f64 x 9) 12)
(-.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 81 x))) (/.f64 144 (fma.f64 x 9 12)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) 13)
(-.f64 (+.f64 -12 (exp.f64 (log1p.f64 (*.f64 x 9)))) 1)
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 1 (fma.f64 x 9 12)))
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 (+.f64 (fma.f64 x (.f64 81 x) 144) (.f64 x -108)) (+.f64 (*.f64 (pow.f64 x 3) 729) 1728)))
(*.f64 (fma.f64 x 9 -12) 1)
(*.f64 1 (fma.f64 x 9 -12))
(*.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 81 x) -144)) (.f64 (sqrt.f64 (fma.f64 x (.f64 81 x) -144)) (/.f64 1 (fma.f64 x 9 12))))
(*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 81 x) -144)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 81 x) -144)) (/.f64 1 (fma.f64 x 9 12))))
(.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 x (.f64 81 x) -144))
(.f64 (-.f64 144 (.f64 x (.f64 81 x))) (/.f64 1 (-.f64 -12 (.f64 x 9))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (fma.f64 x (.f64 81 x) -144) (sqrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (fma.f64 x (.f64 81 x) -144) (cbrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 1 (fma.f64 x (.f64 81 x) -144)) (.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x 9 -12)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (fma.f64 x (.f64 81 x) 144) (.f64 x -108))))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144)) (fma.f64 x 9 -12))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (+.f64 (fma.f64 x (.f64 81 x) 144) (*.f64 x -108)))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (-.f64 (fma.f64 x (.f64 81 x) 144) (.f64 (.f64 x 9) 12)))
(.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) (-.f64 144 (.f64 x (.f64 81 x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 81 x) -144)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 81 x) -144)) (fma.f64 x 9 12)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 81 x) -144)) (fma.f64 x 9 12)) (sqrt.f64 (fma.f64 x (*.f64 81 x) -144)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 81 x) -144)) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 81 x) -144)) (cbrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 81 x) -144)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 81 x) -144)) (fma.f64 x 9 12)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 81 x) -144)) 2) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 81 x) -144)) (sqrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 81 x) -144)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (cbrt.f64 (fma.f64 x 9 -12)))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (pow.f64 (.f64 x 9) 4) -20736)) (.f64 (fma.f64 x 9 -12) (fma.f64 x (*.f64 81 x) 144)))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (pow.f64 (.f64 x 9) 6) -2985984)) (.f64 (fma.f64 x 9 -12) (+.f64 (pow.f64 (.f64 x 9) 4) (+.f64 20736 (.f64 (*.f64 x x) 11664)))))
(.f64 (/.f64 (-.f64 144 (.f64 x (.f64 81 x))) (-.f64 144 (.f64 x (*.f64 81 x)))) (fma.f64 x 9 -12))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (sqrt.f64 (fma.f64 x (.f64 81 x) -144))) (/.f64 (fma.f64 x 9 -12) (sqrt.f64 (fma.f64 x (.f64 81 x) -144))))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 81 x) -144)) 2)) (/.f64 (fma.f64 x 9 -12) (cbrt.f64 (fma.f64 x (.f64 81 x) -144))))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (-.f64 144 (.f64 x (.f64 81 x)))) (neg.f64 (fma.f64 x 9 -12)))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 729) 1728))) (neg.f64 (+.f64 (fma.f64 x (.f64 81 x) 144) (*.f64 x -108))))
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(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x 9) 4) (pow.f64 (.f64 x 9) 4)) 429981696) (.f64 (.f64 (fma.f64 x 9 -12) (fma.f64 x (.f64 81 x) 144)) (+.f64 (pow.f64 (*.f64 x 9) 4) 20736)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x 9) 6) (pow.f64 (.f64 x 9) 6)) 8916100448256) (.f64 (.f64 (fma.f64 x 9 -12) (+.f64 (pow.f64 (.f64 x 9) 4) (+.f64 20736 (.f64 (.f64 x x) 11664)))) (+.f64 2985984 (pow.f64 (*.f64 x 9) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x 9) 4) 3) 8916100448256) (.f64 (.f64 (fma.f64 x 9 -12) (fma.f64 x (.f64 81 x) 144)) (+.f64 (.f64 (pow.f64 (.f64 x 9) 4) (pow.f64 (.f64 x 9) 4)) (+.f64 429981696 (.f64 (pow.f64 (*.f64 x 9) 4) 20736)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x 9) 6) 3) 26623333280885243904) (.f64 (.f64 (fma.f64 x 9 -12) (+.f64 (pow.f64 (.f64 x 9) 4) (+.f64 20736 (.f64 (.f64 x x) 11664)))) (+.f64 (.f64 (pow.f64 (.f64 x 9) 6) (pow.f64 (.f64 x 9) 6)) (+.f64 8916100448256 (.f64 (pow.f64 (*.f64 x 9) 6) 2985984)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 729) 3) -5159780352) (.f64 (+.f64 (fma.f64 x (.f64 81 x) 144) (.f64 x -108)) (+.f64 (pow.f64 (.f64 x 9) 6) (+.f64 2985984 (.f64 (*.f64 (pow.f64 x 3) 729) -1728)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 729) 3) -5159780352) (.f64 (-.f64 (fma.f64 x (.f64 81 x) 144) (.f64 (.f64 x 9) 12)) (+.f64 (pow.f64 (.f64 x 9) 6) (+.f64 2985984 (.f64 (.f64 (pow.f64 x 3) 729) -1728)))))
(pow.f64 (fma.f64 x 9 12) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 9 12)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 3)
(pow.f64 (pow.f64 (fma.f64 x 9 12) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 9 12) 2))
(log.f64 (exp.f64 (fma.f64 x 9 12)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 12))))
(cbrt.f64 (pow.f64 (fma.f64 x 9 12) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 9 12)))
(exp.f64 (log.f64 (fma.f64 x 9 12)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 12)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 9 12)))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(fma.f64 1 (*.f64 x 9) 12)
(fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) 12)
(fma.f64 (cbrt.f64 (.f64 x (.f64 81 x))) (cbrt.f64 (*.f64 x 9)) 12)

Outputs
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
-12
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x (fma.f64 x 9 -12) 3)
12
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(*.f64 9 x)
(*.f64 x 9)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(*.f64 9 x)
(*.f64 x 9)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 81 x)))) 1)
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (.f64 x (.f64 81 x)) 1)
(.f64 81 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 81 x))) 3)
(.f64 81 (.f64 x x))
(pow.f64 (pow.f64 (*.f64 x 9) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 9) 6))
(sqrt.f64 (pow.f64 (*.f64 x 9) 4))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 81 x)))
(.f64 (.f64 81 x) (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 81 x)))))
(.f64 81 (.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x 9) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 81 x))))
(.f64 81 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 81 x))))
(.f64 81 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x 9)) 2))
(pow.f64 (*.f64 x 9) 2)
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 81 x))) 1))
(.f64 81 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 81 x))))
(.f64 81 (.f64 x x))
(+.f64 (*.f64 x 9) -12)
(fma.f64 x 9 -12)
(+.f64 -12 (*.f64 x 9))
(fma.f64 x 9 -12)
(+.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 81 x))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) (.f64 1 (neg.f64 (/.f64 144 (fma.f64 x 9 12)))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) (.f64 (/.f64 1 (fma.f64 x 9 12)) -144))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) (.f64 -144 (/.f64 1 (fma.f64 x 9 12))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 81 x))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144) (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144)) (.f64 x 9)) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144)) -12))
(fma.f64 x 9 -12)
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144)) -12) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144)) (*.f64 x 9)))
(fma.f64 x 9 -12)
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144)) (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x)))) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144)) (neg.f64 (/.f64 144 (fma.f64 x 9 12)))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (.f64 x (.f64 81 x))) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (+.f64 144 (*.f64 x -108))))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 (pow.f64 x 3) 729 1728)) (+.f64 (.f64 x (.f64 81 x)) (+.f64 144 (*.f64 x -108))))
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 (+.f64 (.f64 x -108) (fma.f64 x (.f64 81 x) 144)) (fma.f64 (pow.f64 x 3) 729 1728)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (+.f64 144 (.f64 x -108))) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (.f64 x (*.f64 81 x))))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 (pow.f64 x 3) 729 1728)) (+.f64 (.f64 x (.f64 81 x)) (+.f64 144 (*.f64 x -108))))
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 (+.f64 (.f64 x -108) (fma.f64 x (.f64 81 x) 144)) (fma.f64 (pow.f64 x 3) 729 1728)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (fma.f64 x (.f64 81 x) 144)) (.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (.f64 x -108)))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 (pow.f64 x 3) 729 1728)) (+.f64 (.f64 x (.f64 81 x)) (+.f64 144 (*.f64 x -108))))
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 (+.f64 (.f64 x -108) (fma.f64 x (.f64 81 x) 144)) (fma.f64 (pow.f64 x 3) 729 1728)))
(+.f64 (.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) 1) (*.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) 1))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (.f64 -144 (/.f64 1 (fma.f64 x 9 12))) (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (.f64 (.f64 x 9) (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144))) (.f64 -12 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144))))
(fma.f64 x 9 -12)
(+.f64 (.f64 -12 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144))) (.f64 (.f64 x 9) (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144))))
(fma.f64 x 9 -12)
(+.f64 (.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (.f64 81 x))) (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (.f64 81 x) -144))) (.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 x (*.f64 81 x) -144))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (.f64 (.f64 x (.f64 81 x)) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728))) (.f64 (+.f64 144 (.f64 x -108)) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (*.f64 (pow.f64 x 3) 729) 1728))))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 (pow.f64 x 3) 729 1728)) (+.f64 (.f64 x (.f64 81 x)) (+.f64 144 (*.f64 x -108))))
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 (+.f64 (.f64 x -108) (fma.f64 x (.f64 81 x) 144)) (fma.f64 (pow.f64 x 3) 729 1728)))
(+.f64 (.f64 (+.f64 144 (.f64 x -108)) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728))) (.f64 (.f64 x (.f64 81 x)) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (*.f64 (pow.f64 x 3) 729) 1728))))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 (pow.f64 x 3) 729 1728)) (+.f64 (.f64 x (.f64 81 x)) (+.f64 144 (*.f64 x -108))))
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 (+.f64 (.f64 x -108) (fma.f64 x (.f64 81 x) 144)) (fma.f64 (pow.f64 x 3) 729 1728)))
(+.f64 (.f64 (fma.f64 x (.f64 81 x) 144) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728))) (.f64 (.f64 x -108) (/.f64 (fma.f64 x (.f64 81 x) -144) (+.f64 (.f64 (pow.f64 x 3) 729) 1728))))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 (pow.f64 x 3) 729 1728)) (+.f64 (.f64 x (.f64 81 x)) (+.f64 144 (*.f64 x -108))))
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 (+.f64 (.f64 x -108) (fma.f64 x (.f64 81 x) 144)) (fma.f64 (pow.f64 x 3) 729 1728)))
(-.f64 (*.f64 x 9) 12)
(fma.f64 x 9 -12)
(-.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) (*.f64 81 x))) (/.f64 144 (fma.f64 x 9 12)))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 12)) (.f64 81 x)) (/.f64 -144 (fma.f64 x 9 12)))
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x 9 12) 81)) x) (/.f64 -144 (fma.f64 x 9 12)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)
(fma.f64 x 9 -12)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) 13)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) -13)
(-.f64 (+.f64 -12 (exp.f64 (log1p.f64 (*.f64 x 9)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) -13)
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 1 (fma.f64 x 9 12)))
(.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 x (.f64 81 x) -144))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 (+.f64 (fma.f64 x (.f64 81 x) 144) (.f64 x -108)) (+.f64 (*.f64 (pow.f64 x 3) 729) 1728)))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 (pow.f64 x 3) 729 1728)) (+.f64 (.f64 x (.f64 81 x)) (+.f64 144 (*.f64 x -108))))
(.f64 (fma.f64 x (.f64 81 x) -144) (/.f64 (+.f64 (.f64 x -108) (fma.f64 x (.f64 81 x) 144)) (fma.f64 (pow.f64 x 3) 729 1728)))
(*.f64 (fma.f64 x 9 -12) 1)
(fma.f64 x 9 -12)
(*.f64 1 (fma.f64 x 9 -12))
(fma.f64 x 9 -12)
(*.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(.f64 (sqrt.f64 (fma.f64 x (.f64 81 x) -144)) (.f64 (sqrt.f64 (fma.f64 x (.f64 81 x) -144)) (/.f64 1 (fma.f64 x 9 12))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 81 x) -144)) (.f64 (/.f64 1 (fma.f64 x 9 12)) (sqrt.f64 (fma.f64 x (.f64 81 x) -144))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 81 x) -144)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 81 x) -144)) (fma.f64 x 9 12)))
(*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))
(fma.f64 x 9 -12)
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(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 729) 1728)) (.f64 1 (neg.f64 (+.f64 (fma.f64 x (.f64 81 x) 144) (.f64 x -108)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 729 1728)) (neg.f64 (+.f64 (.f64 x -108) (fma.f64 x (.f64 81 x) 144))))
(/.f64 (-.f64 -1728 (.f64 (pow.f64 x 3) 729)) (-.f64 (neg.f64 (fma.f64 x (.f64 81 x) 144)) (*.f64 x -108)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x 9) 4) (pow.f64 (.f64 x 9) 4)) 429981696) (.f64 (.f64 (fma.f64 x 9 -12) (fma.f64 x (.f64 81 x) 144)) (+.f64 (pow.f64 (*.f64 x 9) 4) 20736)))
(/.f64 (+.f64 (pow.f64 (.f64 x 9) 8) -429981696) (.f64 (.f64 (fma.f64 x (.f64 81 x) 144) (fma.f64 x 9 -12)) (+.f64 (pow.f64 (*.f64 x 9) 4) 20736)))
(/.f64 (+.f64 (pow.f64 (.f64 x 9) 8) -429981696) (.f64 (fma.f64 x 9 -12) (.f64 (fma.f64 x (.f64 81 x) 144) (+.f64 (pow.f64 (*.f64 x 9) 4) 20736))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x 9) 6) (pow.f64 (.f64 x 9) 6)) 8916100448256) (.f64 (.f64 (fma.f64 x 9 -12) (+.f64 (pow.f64 (.f64 x 9) 4) (+.f64 20736 (.f64 (.f64 x x) 11664)))) (+.f64 2985984 (pow.f64 (*.f64 x 9) 6))))
(/.f64 (+.f64 (pow.f64 (.f64 x 9) 12) -8916100448256) (.f64 (.f64 (fma.f64 x 9 -12) (+.f64 (pow.f64 (.f64 x 9) 4) (+.f64 20736 (.f64 x (.f64 x 11664))))) (+.f64 (pow.f64 (*.f64 x 9) 6) 2985984)))
(/.f64 (+.f64 (pow.f64 (.f64 x 9) 12) -8916100448256) (.f64 (fma.f64 x 9 -12) (.f64 (+.f64 (pow.f64 (.f64 x 9) 4) (+.f64 20736 (.f64 x (.f64 x 11664)))) (+.f64 (pow.f64 (*.f64 x 9) 6) 2985984))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x 9) 4) 3) 8916100448256) (.f64 (.f64 (fma.f64 x 9 -12) (fma.f64 x (.f64 81 x) 144)) (+.f64 (.f64 (pow.f64 (.f64 x 9) 4) (pow.f64 (.f64 x 9) 4)) (+.f64 429981696 (.f64 (pow.f64 (*.f64 x 9) 4) 20736)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x 9) 4) 3) -8916100448256) (.f64 (fma.f64 x 9 -12) (.f64 (fma.f64 x (.f64 81 x) 144) (+.f64 (pow.f64 (.f64 x 9) 8) (+.f64 429981696 (.f64 (pow.f64 (*.f64 x 9) 4) 20736))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x 9) 4) 3) -8916100448256) (.f64 (fma.f64 x (.f64 81 x) 144) (.f64 (fma.f64 x 9 -12) (+.f64 (pow.f64 (.f64 x 9) 8) (+.f64 429981696 (.f64 (pow.f64 (*.f64 x 9) 4) 20736))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x 9) 6) 3) 26623333280885243904) (.f64 (.f64 (fma.f64 x 9 -12) (+.f64 (pow.f64 (.f64 x 9) 4) (+.f64 20736 (.f64 (.f64 x x) 11664)))) (+.f64 (.f64 (pow.f64 (.f64 x 9) 6) (pow.f64 (.f64 x 9) 6)) (+.f64 8916100448256 (.f64 (pow.f64 (*.f64 x 9) 6) 2985984)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x 9) 6) 3) -26623333280885243904) (.f64 (fma.f64 x 9 -12) (.f64 (+.f64 (pow.f64 (.f64 x 9) 4) (+.f64 20736 (.f64 x (.f64 x 11664)))) (+.f64 (pow.f64 (.f64 x 9) 12) (+.f64 8916100448256 (.f64 (pow.f64 (*.f64 x 9) 6) 2985984))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x 9) 6) 3) -26623333280885243904) (.f64 (.f64 (fma.f64 x 9 -12) (+.f64 (pow.f64 (.f64 x 9) 4) (+.f64 20736 (.f64 x (.f64 x 11664))))) (+.f64 (pow.f64 (.f64 x 9) 12) (+.f64 8916100448256 (.f64 (pow.f64 (*.f64 x 9) 6) 2985984)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 729) 3) -5159780352) (.f64 (+.f64 (fma.f64 x (.f64 81 x) 144) (.f64 x -108)) (+.f64 (pow.f64 (.f64 x 9) 6) (+.f64 2985984 (.f64 (*.f64 (pow.f64 x 3) 729) -1728)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 387420489) 5159780352) (.f64 (+.f64 (.f64 x -108) (fma.f64 x (.f64 81 x) 144)) (+.f64 (pow.f64 (.f64 x 9) 6) (+.f64 2985984 (.f64 (pow.f64 x 3) -1259712)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 729) 3) -5159780352) (.f64 (-.f64 (fma.f64 x (.f64 81 x) 144) (.f64 (.f64 x 9) 12)) (+.f64 (pow.f64 (.f64 x 9) 6) (+.f64 2985984 (.f64 (.f64 (pow.f64 x 3) 729) -1728)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 387420489) 5159780352) (.f64 (-.f64 (fma.f64 x (.f64 81 x) 144) (.f64 x 108)) (+.f64 (pow.f64 (.f64 x 9) 6) (+.f64 2985984 (.f64 (pow.f64 x 3) -1259712)))))
(pow.f64 (fma.f64 x 9 12) 1)
(fma.f64 x 9 12)
(pow.f64 (sqrt.f64 (fma.f64 x 9 12)) 2)
(fma.f64 x 9 12)
(pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 3)
(fma.f64 x 9 12)
(pow.f64 (pow.f64 (fma.f64 x 9 12) 3) 1/3)
(fma.f64 x 9 12)
(sqrt.f64 (pow.f64 (fma.f64 x 9 12) 2))
(log.f64 (exp.f64 (fma.f64 x 9 12)))
(fma.f64 x 9 12)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 12))))
(fma.f64 x 9 12)
(cbrt.f64 (pow.f64 (fma.f64 x 9 12) 3))
(fma.f64 x 9 12)
(expm1.f64 (log1p.f64 (fma.f64 x 9 12)))
(fma.f64 x 9 12)
(exp.f64 (log.f64 (fma.f64 x 9 12)))
(fma.f64 x 9 12)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 12)) 1))
(fma.f64 x 9 12)
(log1p.f64 (expm1.f64 (fma.f64 x 9 12)))
(fma.f64 x 9 12)
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(fma.f64 x 9 12)
(fma.f64 1 (*.f64 x 9) 12)
(fma.f64 x 9 12)
(fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) 12)
(fma.f64 (cbrt.f64 (.f64 x (.f64 81 x))) (cbrt.f64 (*.f64 x 9)) 12)
(fma.f64 (cbrt.f64 (.f64 81 (.f64 x x))) (cbrt.f64 (*.f64 x 9)) 12)

localize5.0ms (0.1%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.23%	(.f64 x (.f64 x 9))

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 x (.f64 x 9))
0.0ms	x	@	inf	(.f64 x (.f64 x 9))
0.0ms	x	@	-inf	(.f64 x (.f64 x 9))

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`add-sqr-sqrt`
1084×	`*-un-lft-identity`
1028×	`pow1`
1012×	`add-cube-cbrt`
998×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1383	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 3) 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 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 log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9))))))))

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1734×	`distribute-rgt-in`
1708×	`distribute-lft-in`
1444×	`log-prod`
964×	`associate-r`
886×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	299
1	87	299
2	339	299
3	2287	299

Stop Event

1×	node limit

Counts

23 → 13

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 x (.f64 x 9))) 1)
(pow.f64 (.f64 x (.f64 x 9)) 1)
(pow.f64 (*.f64 x 3) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 9))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) 1/3)
(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))))
(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 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 3) 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))
(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))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 9))))
(.f64 9 (.f64 x x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.04%	(.f64 3 (+.f64 (.f64 x -4) 1))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 3 (+.f64 (.f64 x -4) 1))
0.0ms	x	@	inf	(.f64 3 (+.f64 (.f64 x -4) 1))
0.0ms	x	@	-inf	(.f64 3 (+.f64 (.f64 x -4) 1))

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`add-sqr-sqrt`
1740×	`*-un-lft-identity`
1634×	`add-cube-cbrt`
1622×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	191	13
2	2214	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(.f64 3 (+.f64 (.f64 x -4) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -12) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -12) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 3 (*.f64 x -12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (*.f64 16 (*.f64 x x)) -1)) (fma.f64 x -4 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 1 (*.f64 -64 (pow.f64 x 3)))) (+.f64 (*.f64 16 (*.f64 x x)) (-.f64 1 (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 16 (*.f64 x x)) -1) 3) (fma.f64 x -4 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 -64 (pow.f64 x 3))) 3) (+.f64 (*.f64 16 (*.f64 x x)) (-.f64 1 (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -12) (*.f64 x -12)) 9) (-.f64 (*.f64 x -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -12) 3) 27) (+.f64 (*.f64 (*.f64 x -12) (*.f64 x -12)) (-.f64 9 (*.f64 (*.f64 x -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3 (*.f64 x -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 3 (*.f64 x -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 3 (*.f64 x -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 3 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 3 (*.f64 x -12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 3 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x -4) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -4) 3 3)))))

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1356×	`fma-def`
844×	`+-commutative`
766×	`associate-r`
698×	`associate-l`
540×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	530
1	204	502
2	595	474
3	2950	468
4	6980	468

Stop Event

1×	node limit

Counts

36 → 44

Calls

Call 1

Inputs
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (*.f64 -12 x) 3)
(+.f64 (*.f64 -12 x) 3)
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 x -12))
(+.f64 (*.f64 x -12) 3)
(+.f64 (.f64 (.f64 x -12) 1) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 3 (*.f64 x -12)))) 1)
(/.f64 (.f64 3 (+.f64 (.f64 16 (*.f64 x x)) -1)) (fma.f64 x -4 -1))
(/.f64 (.f64 3 (+.f64 1 (.f64 -64 (pow.f64 x 3)))) (+.f64 (.f64 16 (.f64 x x)) (-.f64 1 (*.f64 x -4))))
(/.f64 (.f64 (+.f64 (.f64 16 (*.f64 x x)) -1) 3) (fma.f64 x -4 -1))
(/.f64 (.f64 (+.f64 1 (.f64 -64 (pow.f64 x 3))) 3) (+.f64 (.f64 16 (.f64 x x)) (-.f64 1 (*.f64 x -4))))
(/.f64 (-.f64 (.f64 (.f64 x -12) (.f64 x -12)) 9) (-.f64 (.f64 x -12) 3))
(/.f64 (+.f64 (pow.f64 (.f64 x -12) 3) 27) (+.f64 (.f64 (.f64 x -12) (.f64 x -12)) (-.f64 9 (.f64 (.f64 x -12) 3))))
(pow.f64 (+.f64 3 (*.f64 x -12)) 1)
(pow.f64 (sqrt.f64 (+.f64 3 (*.f64 x -12))) 2)
(pow.f64 (cbrt.f64 (+.f64 3 (*.f64 x -12))) 3)
(pow.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 2))
(log.f64 (exp.f64 (+.f64 3 (*.f64 x -12))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 3 (*.f64 x -12)))))
(cbrt.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 3))
(expm1.f64 (log1p.f64 (+.f64 3 (*.f64 x -12))))
(exp.f64 (log.f64 (+.f64 3 (*.f64 x -12))))
(exp.f64 (.f64 (log.f64 (+.f64 3 (.f64 x -12))) 1))
(log1p.f64 (expm1.f64 (+.f64 3 (*.f64 x -12))))
(fma.f64 3 (*.f64 x -4) 3)
(fma.f64 (*.f64 x -4) 3 3)

Outputs
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 x -12))
(fma.f64 -12 x 3)
(+.f64 (*.f64 x -12) 3)
(fma.f64 -12 x 3)
(+.f64 (.f64 (.f64 x -12) 1) 3)
(fma.f64 -12 x 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 3 (*.f64 x -12)))) 1)
(fma.f64 -12 x 3)
(/.f64 (.f64 3 (+.f64 (.f64 16 (*.f64 x x)) -1)) (fma.f64 x -4 -1))
(/.f64 3 (/.f64 (fma.f64 x -4 -1) (fma.f64 16 (*.f64 x x) -1)))
(/.f64 (+.f64 (.f64 (.f64 x x) 48) -3) (fma.f64 x -4 -1))
(/.f64 (fma.f64 (*.f64 x x) 48 -3) (fma.f64 x -4 -1))
(/.f64 (fma.f64 x (*.f64 48 x) -3) (fma.f64 x -4 -1))
(/.f64 (.f64 3 (+.f64 1 (.f64 -64 (pow.f64 x 3)))) (+.f64 (.f64 16 (.f64 x x)) (-.f64 1 (*.f64 x -4))))
(/.f64 3 (/.f64 (fma.f64 16 (.f64 x x) (-.f64 1 (.f64 x -4))) (+.f64 1 (*.f64 -64 (pow.f64 x 3)))))
(/.f64 (+.f64 3 (.f64 (pow.f64 x 3) -192)) (fma.f64 (.f64 x 16) x (+.f64 1 (*.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) -192 3) (fma.f64 16 (*.f64 x x) (fma.f64 x 4 1)))
(/.f64 (fma.f64 (pow.f64 x 3) -192 3) (fma.f64 x (+.f64 (*.f64 x 16) 4) 1))
(/.f64 (.f64 (+.f64 (.f64 16 (*.f64 x x)) -1) 3) (fma.f64 x -4 -1))
(/.f64 3 (/.f64 (fma.f64 x -4 -1) (fma.f64 16 (*.f64 x x) -1)))
(/.f64 (+.f64 (.f64 (.f64 x x) 48) -3) (fma.f64 x -4 -1))
(/.f64 (fma.f64 (*.f64 x x) 48 -3) (fma.f64 x -4 -1))
(/.f64 (fma.f64 x (*.f64 48 x) -3) (fma.f64 x -4 -1))
(/.f64 (.f64 (+.f64 1 (.f64 -64 (pow.f64 x 3))) 3) (+.f64 (.f64 16 (.f64 x x)) (-.f64 1 (*.f64 x -4))))
(/.f64 3 (/.f64 (fma.f64 16 (.f64 x x) (-.f64 1 (.f64 x -4))) (+.f64 1 (*.f64 -64 (pow.f64 x 3)))))
(/.f64 (+.f64 3 (.f64 (pow.f64 x 3) -192)) (fma.f64 (.f64 x 16) x (+.f64 1 (*.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) -192 3) (fma.f64 16 (*.f64 x x) (fma.f64 x 4 1)))
(/.f64 (fma.f64 (pow.f64 x 3) -192 3) (fma.f64 x (+.f64 (*.f64 x 16) 4) 1))
(/.f64 (-.f64 (.f64 (.f64 x -12) (.f64 x -12)) 9) (-.f64 (.f64 x -12) 3))
(/.f64 (+.f64 (.f64 (.f64 x x) 144) -9) (fma.f64 x -12 -3))
(/.f64 (fma.f64 x (*.f64 144 x) -9) (fma.f64 -12 x -3))
(/.f64 (fma.f64 x (*.f64 x 144) -9) (fma.f64 -12 x -3))
(/.f64 (+.f64 (pow.f64 (.f64 x -12) 3) 27) (+.f64 (.f64 (.f64 x -12) (.f64 x -12)) (-.f64 9 (.f64 (.f64 x -12) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 -12 x) 3) 27) (+.f64 (.f64 (.f64 x x) 144) (-.f64 9 (.f64 x -36))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 27) (fma.f64 x (.f64 144 x) (+.f64 9 (.f64 x 36))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 27) (fma.f64 (*.f64 x x) 144 (fma.f64 x 36 9)))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 27) (fma.f64 x (+.f64 (*.f64 x 144) 36) 9))
(pow.f64 (+.f64 3 (*.f64 x -12)) 1)
(fma.f64 -12 x 3)
(pow.f64 (sqrt.f64 (+.f64 3 (*.f64 x -12))) 2)
(fma.f64 -12 x 3)
(pow.f64 (cbrt.f64 (+.f64 3 (*.f64 x -12))) 3)
(fma.f64 -12 x 3)
(pow.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 3) 1/3)
(fma.f64 -12 x 3)
(sqrt.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 2))
(fma.f64 -12 x 3)
(log.f64 (exp.f64 (+.f64 3 (*.f64 x -12))))
(fma.f64 -12 x 3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 3 (*.f64 x -12)))))
(fma.f64 -12 x 3)
(cbrt.f64 (pow.f64 (+.f64 3 (*.f64 x -12)) 3))
(fma.f64 -12 x 3)
(expm1.f64 (log1p.f64 (+.f64 3 (*.f64 x -12))))
(fma.f64 -12 x 3)
(exp.f64 (log.f64 (+.f64 3 (*.f64 x -12))))
(fma.f64 -12 x 3)
(exp.f64 (.f64 (log.f64 (+.f64 3 (.f64 x -12))) 1))
(fma.f64 -12 x 3)
(log1p.f64 (expm1.f64 (+.f64 3 (*.f64 x -12))))
(fma.f64 -12 x 3)
(fma.f64 3 (*.f64 x -4) 3)
(fma.f64 -12 x 3)
(fma.f64 (*.f64 x -4) 3 3)
(fma.f64 -12 x 3)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.15%	(.f64 x (-.f64 (.f64 x 3) 4))
✓	0.25%	(.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4)))

Compiler

Compiled 39 to 30 computations (23.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4)))
0.0ms	x	@	inf	(.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4)))
0.0ms	x	@	-inf	(.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4)))
0.0ms	x	@	-inf	(.f64 x (-.f64 (.f64 x 3) 4))
0.0ms	x	@	0	(.f64 x (-.f64 (.f64 x 3) 4))

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1934×	`add-sqr-sqrt`
1906×	`*-un-lft-identity`
1792×	`add-cube-cbrt`
1772×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	197	36
2	2394	36

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4)))
(.f64 x (-.f64 (.f64 x 3) 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 3 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 -4 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 9 (*.f64 x x)) -16)) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 x) (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) (fma.f64 3 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x (fma.f64 3 x -4)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) x) (*.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 x)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 9 (*.f64 x x)) -16)) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 27 (pow.f64 x 3)) -64)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 9 (*.f64 x x)) -16) x) (fma.f64 3 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -64) x) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 16 (*.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 3 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 3 x -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 3 x -4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 3 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 3 x -4))))))))

simplify116.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-+r+`
1526×	`associate-+l+`
602×	`distribute-lft-in`
582×	`distribute-rgt-in`
576×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1206
1	277	1146
2	885	1044
3	3702	1044

Stop Event

1×	node limit

Counts

60 → 65

Calls

Call 1

Inputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 -4 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 9 (.f64 x x)) (.f64 (.f64 3 x) -4))
(+.f64 (.f64 9 (.f64 x x)) (.f64 -4 (.f64 3 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))))) 1)
(/.f64 (.f64 (.f64 3 x) (+.f64 (.f64 9 (.f64 x x)) -16)) (fma.f64 3 x 4))
(/.f64 (.f64 (.f64 3 x) (+.f64 (.f64 27 (pow.f64 x 3)) -64)) (+.f64 (.f64 9 (.f64 x x)) (+.f64 16 (.f64 x 12))))
(pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 1)
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))) 2)
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))) 3)
(pow.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) (fma.f64 3 x -4)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))))))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(exp.f64 (log.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 x (fma.f64 3 x -4)))) 1))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(+.f64 (.f64 (.f64 3 x) x) (*.f64 -4 x))
(+.f64 (.f64 x (.f64 3 x)) (*.f64 x -4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4)))) 1)
(/.f64 (.f64 x (+.f64 (.f64 9 (*.f64 x x)) -16)) (fma.f64 3 x 4))
(/.f64 (.f64 x (+.f64 (.f64 27 (pow.f64 x 3)) -64)) (+.f64 (.f64 9 (.f64 x x)) (+.f64 16 (*.f64 x 12))))
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -16) x) (fma.f64 3 x 4))
(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -64) x) (+.f64 (.f64 9 (.f64 x x)) (+.f64 16 (*.f64 x 12))))
(pow.f64 (*.f64 x (fma.f64 3 x -4)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 3 x -4))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 3 x -4)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 3 x -4)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 3 x -4))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 3 x -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 3 x -4))))

Outputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 9 (.f64 x x)) (.f64 (.f64 3 x) -4))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 9 (.f64 x x)) (.f64 -4 (.f64 3 x)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))))) 1)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(/.f64 (.f64 (.f64 3 x) (+.f64 (.f64 9 (.f64 x x)) -16)) (fma.f64 3 x 4))
(/.f64 (.f64 x 3) (/.f64 (fma.f64 3 x 4) (fma.f64 9 (.f64 x x) -16)))
(/.f64 (fma.f64 9 (.f64 x x) -16) (/.f64 (fma.f64 x 3 4) (.f64 x 3)))
(/.f64 (fma.f64 x -48 (*.f64 27 (pow.f64 x 3))) (fma.f64 x 3 4))
(/.f64 (.f64 (.f64 3 x) (+.f64 (.f64 27 (pow.f64 x 3)) -64)) (+.f64 (.f64 9 (.f64 x x)) (+.f64 16 (.f64 x 12))))
(/.f64 (.f64 (.f64 x 3) (fma.f64 27 (pow.f64 x 3) -64)) (fma.f64 9 (.f64 x x) (+.f64 16 (.f64 x 12))))
(.f64 (/.f64 (.f64 x 3) (fma.f64 9 (*.f64 x x) (fma.f64 x 12 16))) (fma.f64 27 (pow.f64 x 3) -64))
(.f64 (fma.f64 27 (pow.f64 x 3) -64) (/.f64 (.f64 x 3) (fma.f64 x 12 (fma.f64 x (*.f64 x 9) 16))))
(pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 1)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))) 2)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))) 3)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3) 1/3)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 2))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) (fma.f64 3 x -4)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))))))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (log.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 x (fma.f64 3 x -4)))) 1))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 (.f64 3 x) x) (*.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 x (.f64 3 x)) (*.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4)))) 1)
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(/.f64 (.f64 x (+.f64 (.f64 9 (*.f64 x x)) -16)) (fma.f64 3 x 4))
(/.f64 x (/.f64 (fma.f64 3 x 4) (fma.f64 9 (*.f64 x x) -16)))
(.f64 (/.f64 x (fma.f64 x 3 4)) (fma.f64 9 (.f64 x x) -16))
(/.f64 (fma.f64 9 (*.f64 x x) -16) (/.f64 (fma.f64 x 3 4) x))
(.f64 (fma.f64 x (.f64 x 9) -16) (/.f64 x (fma.f64 x 3 4)))
(/.f64 (.f64 x (+.f64 (.f64 27 (pow.f64 x 3)) -64)) (+.f64 (.f64 9 (.f64 x x)) (+.f64 16 (*.f64 x 12))))
(/.f64 (fma.f64 27 (pow.f64 x 3) -64) (/.f64 (fma.f64 9 (.f64 x x) (+.f64 16 (.f64 x 12))) x))
(.f64 (/.f64 x (fma.f64 9 (.f64 x x) (fma.f64 x 12 16))) (fma.f64 27 (pow.f64 x 3) -64))
(/.f64 (fma.f64 x -64 (.f64 27 (pow.f64 x 4))) (fma.f64 x 12 (fma.f64 x (.f64 x 9) 16)))
(/.f64 (.f64 (+.f64 (.f64 9 (*.f64 x x)) -16) x) (fma.f64 3 x 4))
(/.f64 x (/.f64 (fma.f64 3 x 4) (fma.f64 9 (*.f64 x x) -16)))
(.f64 (/.f64 x (fma.f64 x 3 4)) (fma.f64 9 (.f64 x x) -16))
(/.f64 (fma.f64 9 (*.f64 x x) -16) (/.f64 (fma.f64 x 3 4) x))
(.f64 (fma.f64 x (.f64 x 9) -16) (/.f64 x (fma.f64 x 3 4)))
(/.f64 (.f64 (+.f64 (.f64 27 (pow.f64 x 3)) -64) x) (+.f64 (.f64 9 (.f64 x x)) (+.f64 16 (*.f64 x 12))))
(/.f64 (fma.f64 27 (pow.f64 x 3) -64) (/.f64 (fma.f64 9 (.f64 x x) (+.f64 16 (.f64 x 12))) x))
(.f64 (/.f64 x (fma.f64 9 (.f64 x x) (fma.f64 x 12 16))) (fma.f64 27 (pow.f64 x 3) -64))
(/.f64 (fma.f64 x -64 (.f64 27 (pow.f64 x 4))) (fma.f64 x 12 (fma.f64 x (.f64 x 9) 16)))
(pow.f64 (*.f64 x (fma.f64 3 x -4)) 1)
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 3 x -4))) 2)
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 3)
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3) 1/3)
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(log.f64 (pow.f64 (exp.f64 (fma.f64 3 x -4)) x))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 3 x -4)))))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4))))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(exp.f64 (log.f64 (*.f64 x (fma.f64 3 x -4))))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 3 x -4))) 1))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 3 x -4))))
(*.f64 x (fma.f64 3 x -4))
(*.f64 x (fma.f64 x 3 -4))

eval273.0ms (4%)

Compiler: Compiled 11815 to 9176 computations (22.3% saved)

prune84.0ms (1.2%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	474	3	477
Fresh	0	3	3
Picked	1	0	1
Done	1	7	8
Total	476	13	489

Error

Counts

489 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.24%	(fma.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 144) (-.f64 (*.f64 x 9) -12)) 3)
▶	68.31%	(pow.f64 (*.f64 x 3) 2)
✓	0.14%	(+.f64 (+.f64 3 (.f64 (.f64 x x) 9)) (.f64 (.f64 x -4) 3))
▶	0.11%	(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
▶	3.77%	(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
✓	30.29%	(+.f64 (*.f64 -12 x) 3)
▶	68%	(.f64 x (/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (*.f64 x x) 81) -144))))
✓	67.86%	(.f64 x (+.f64 (.f64 x 9) -12))
✓	68.23%	(.f64 x (.f64 x 9))
✓	96.14%	(*.f64 x -12)
✓	68.23%	(.f64 9 (.f64 x x))
✓	30.3%	(.f64 3 (+.f64 (.f64 x -4) 1))
	30.81%	3

Compiler

Compiled 174 to 136 computations (21.8% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(+.f64 (*.f64 x 9) -12)
	0.16%	(.f64 x (+.f64 (.f64 x 9) -12))

Compiler

Compiled 29 to 22 computations (24.1% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.25%	(.f64 x (.f64 x 3))
✓	0.4%	(.f64 3 (.f64 x (*.f64 x 3)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite179.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`add-sqr-sqrt`
1234×	`*-un-lft-identity`
1146×	`add-cube-cbrt`
1132×	`add-cbrt-cube`
1120×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	142	26
2	1639	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-r`
1038×	`associate-+r+`
998×	`associate-+l+`
994×	`+-commutative`
966×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	598
1	157	598
2	569	598
3	3005	598
4	7629	598

Stop Event

1×	node limit

Counts

46 → 28

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.49%	(pow.f64 (*.f64 x 3) 2)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`add-sqr-sqrt`
1146×	`*-un-lft-identity`
1094×	`pow1`
1068×	`add-cube-cbrt`
1060×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1575	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1178×	`associate-/r*`
1062×	`associate--l+`
936×	`associate-r`
788×	`*-commutative`
740×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	558
1	120	558
2	389	558
3	1786	558
4	4053	558
5	6327	558

Stop Event

1×	node limit

Counts

34 → 30

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 (.f64 x x) 9)) 1)
(.f64 x (.f64 3 (*.f64 x 3)))
(.f64 3 (.f64 x (*.f64 x 3)))
(.f64 (.f64 x 3) (*.f64 x 3))
(.f64 (.f64 (*.f64 x x) 9) 1)
(.f64 1 (.f64 (*.f64 x x) 9))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) (*.f64 x 3)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (pow.f64 (.f64 x 3) 4)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (.f64 (cbrt.f64 (.f64 x 3)) (.f64 x 3)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x 3) 4)) (cbrt.f64 (.f64 (.f64 x x) 9)))
(.f64 (.f64 x x) 9)
(.f64 9 (.f64 x x))
(.f64 (.f64 (.f64 x 3) (sqrt.f64 (.f64 x 3))) (sqrt.f64 (*.f64 x 3)))
(.f64 (.f64 (*.f64 x 3) x) 3)
(.f64 (.f64 (*.f64 x 3) 3) x)
(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 (.f64 x x) 9))) (cbrt.f64 (.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 x 3) 4))
(log.f64 (exp.f64 (.f64 (.f64 x x) 9)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 9) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 9)))
(exp.f64 (.f64 2 (log.f64 (.f64 x 3))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 9)))

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 (.f64 x x) 9)) 1)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 x (.f64 3 (*.f64 x 3)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 3 (.f64 x (*.f64 x 3)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 (.f64 x 3) (*.f64 x 3))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 (.f64 (*.f64 x x) 9) 1)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 1 (.f64 (*.f64 x x) 9))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) (*.f64 x 3)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (pow.f64 (.f64 x 3) 4)))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x 3) 4)))
(.f64 (cbrt.f64 (.f64 x (.f64 9 x))) (cbrt.f64 (pow.f64 (.f64 x 3) 4)))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (.f64 81 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (.f64 (cbrt.f64 (.f64 x 3)) (.f64 x 3)))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (.f64 (.f64 x 3) (cbrt.f64 (.f64 x 3))))
(.f64 (.f64 x 3) (.f64 (cbrt.f64 (.f64 x (.f64 9 x))) (cbrt.f64 (.f64 x 3))))
(.f64 (.f64 x 3) (.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x 3) 4)) (cbrt.f64 (.f64 (.f64 x x) 9)))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x 3) 4)))
(.f64 (cbrt.f64 (.f64 x (.f64 9 x))) (cbrt.f64 (pow.f64 (.f64 x 3) 4)))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (.f64 81 (pow.f64 x 4))))
(.f64 (.f64 x x) 9)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 (.f64 (.f64 x 3) (sqrt.f64 (.f64 x 3))) (sqrt.f64 (*.f64 x 3)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 (.f64 (*.f64 x 3) x) 3)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 (.f64 (*.f64 x 3) 3) x)
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 (.f64 x x) 9))) (cbrt.f64 (.f64 x 3)))
(.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (.f64 (.f64 x 3) (cbrt.f64 (.f64 x 3))))
(.f64 (.f64 x 3) (.f64 (cbrt.f64 (.f64 x (.f64 9 x))) (cbrt.f64 (.f64 x 3))))
(.f64 (.f64 x 3) (.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (.f64 x 3))))
(sqrt.f64 (pow.f64 (*.f64 x 3) 4))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(log.f64 (exp.f64 (.f64 (.f64 x x) 9)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 9) 3))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 9)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(exp.f64 (.f64 2 (log.f64 (.f64 x 3))))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 9)))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.15%	(/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (.f64 x x) 81) -144))
✓	0.17%	(.f64 x (/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (*.f64 x x) 81) -144))))
✓	0.18%	(/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (.f64 x x) 81) -144)))
✓	0.32%	(.f64 (.f64 x x) 81)

Compiler

Compiled 68 to 45 computations (33.8% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 x (/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (*.f64 x x) 81) -144))))
0.0ms	x	@	0	(.f64 x (/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (*.f64 x x) 81) -144))))
0.0ms	x	@	inf	(.f64 x (/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (*.f64 x x) 81) -144))))
0.0ms	x	@	inf	(/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (.f64 x x) 81) -144))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (.f64 x x) 81) -144)))

rewrite109.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`associate-/l*`
1022×	`associate-/r/`
768×	`distribute-rgt-in`
724×	`distribute-lft-in`
362×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	112
1	345	106
2	4252	106

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

Inputs
(.f64 (.f64 x x) 81)
(/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (.f64 x x) 81) -144)))
(.f64 x (/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (*.f64 x x) 81) -144))))
(/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (.f64 x x) 81) -144))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 81)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 81)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 81))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 6561 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 x 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 81))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))) (.f64 (/.f64 1 (fma.f64 x 9 12)) -144))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144) (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12))) (.f64 -144 (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -144 (/.f64 1 (fma.f64 x 9 12))) (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81)))) (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144)) (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12)))) (.f64 1 (.f64 -144 (/.f64 1 (fma.f64 x 9 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 -144 (/.f64 1 (fma.f64 x 9 12)))) (.f64 1 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) 144) (.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) (neg.f64 (.f64 x (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) (neg.f64 (.f64 x (.f64 x 81)))) (.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) 144))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))) 1) (.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144) 1) (.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12))) 1) (.f64 (.f64 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egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 9 12) (-.f64 144 (.f64 x (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 9 12) 3) (pow.f64 (fma.f64 x (.f64 x 81) -144) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))))))))

simplify135.0ms (2%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-r`
732×	`associate-l`
718×	`*-commutative`
670×	`+-commutative`
528×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	10412
1	1689	10094
2	6732	10090

Stop Event

1×	node limit

Counts

284 → 354

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))
-12
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
-1/12
(-.f64 (*.f64 -1/16 x) 1/12)
(-.f64 (+.f64 (.f64 -1/16 x) (.f64 -3/64 (pow.f64 x 2))) 1/12)
(-.f64 (+.f64 (.f64 -1/16 x) (+.f64 (.f64 -3/64 (pow.f64 x 2)) (*.f64 -9/256 (pow.f64 x 3)))) 1/12)
(/.f64 1/9 x)
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 64/243 (/.f64 1 (pow.f64 x 4))))))
(/.f64 1/9 x)
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 64/243 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 81)))) 1)
(pow.f64 (.f64 x (.f64 x 81)) 1)
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 81))) 3)
(pow.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 6561 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 81)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 81)))))
(cbrt.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 81))))
(exp.f64 (.f64 2 (log.f64 (.f64 x 9))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 9))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 81))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))) (.f64 (/.f64 1 (fma.f64 x 9 12)) -144))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144) (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))))
(+.f64 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12))) (.f64 -144 (/.f64 1 (fma.f64 x 9 12))))
(+.f64 (.f64 -144 (/.f64 1 (fma.f64 x 9 12))) (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12))))
(+.f64 (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81)))) (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144)))
(+.f64 (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144)) (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81)))))
(+.f64 (.f64 1 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12)))) (.f64 1 (.f64 -144 (/.f64 1 (fma.f64 x 9 12)))))
(+.f64 (.f64 1 (.f64 -144 (/.f64 1 (fma.f64 x 9 12)))) (.f64 1 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12)))))
(+.f64 (.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) 144) (.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) (neg.f64 (.f64 x (.f64 x 81)))))
(+.f64 (.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) (neg.f64 (.f64 x (.f64 x 81)))) (.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) 144))
(+.f64 (.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))) 1) (.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144) 1))
(+.f64 (.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144) 1) (.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))) 1))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12))) 1) (.f64 (.f64 -144 (/.f64 1 (fma.f64 x 9 12))) 1))
(+.f64 (.f64 (.f64 -144 (/.f64 1 (fma.f64 x 9 12))) 1) (.f64 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12))) 1))
(+.f64 (.f64 144 (/.f64 1 (-.f64 -12 (.f64 x 9)))) (.f64 (neg.f64 (.f64 x (.f64 x 81))) (/.f64 1 (-.f64 -12 (.f64 x 9)))))
(+.f64 (.f64 (neg.f64 (.f64 x (.f64 x 81))) (/.f64 1 (-.f64 -12 (.f64 x 9)))) (.f64 144 (/.f64 1 (-.f64 -12 (.f64 x 9)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))) 1)
(.f64 1 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))
(.f64 (fma.f64 x (.f64 x 81) -144) (/.f64 1 (fma.f64 x 9 12)))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 1)
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 x (.f64 x 81) -144))
(.f64 (/.f64 1 (fma.f64 x 9 12)) (pow.f64 (/.f64 1 (fma.f64 x (.f64 x 81) -144)) -1))
(.f64 -1 (.f64 -1 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 -1 (neg.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) (sqrt.f64 (fma.f64 x (.f64 x 81) -144))) (sqrt.f64 (fma.f64 x (.f64 x 81) -144)))
(.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2)) (cbrt.f64 (fma.f64 x (.f64 x 81) -144)))
(.f64 (.f64 -1 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) -1)
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (fma.f64 x (.f64 x 81) -144) (sqrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (fma.f64 x (.f64 x 81) -144) (cbrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (/.f64 1 (-.f64 -12 (.f64 x 9))) (-.f64 144 (.f64 x (.f64 x 81))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 81) -144)) (fma.f64 x 9 12)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (fma.f64 x 9 12)) (sqrt.f64 (fma.f64 x (*.f64 x 81) -144)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 81) -144)) (cbrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)) (fma.f64 x 9 12)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)) (sqrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))) -1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (fma.f64 x 9 12)) (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)))
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(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 2) (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2) (.f64 (cbrt.f64 (fma.f64 x 9 12)) (/.f64 1 (fma.f64 x (*.f64 x 81) -144))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 81) -144)) (fma.f64 x 9 12))
(.f64 (-.f64 -12 (.f64 x 9)) (/.f64 1 (-.f64 144 (.f64 x (.f64 x 81)))))
(.f64 -1 (/.f64 (-.f64 -12 (.f64 x 9)) (fma.f64 x (*.f64 x 81) -144)))
(.f64 (/.f64 (fma.f64 x 9 12) 1) (/.f64 1 (fma.f64 x (.f64 x 81) -144)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (.f64 x 81) -144))) (/.f64 (fma.f64 x 9 12) (sqrt.f64 (fma.f64 x (*.f64 x 81) -144))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2)) (/.f64 (fma.f64 x 9 12) (cbrt.f64 (fma.f64 x (*.f64 x 81) -144))))
(.f64 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 6561 (pow.f64 x 4)) -20736)) (fma.f64 x (*.f64 x 81) 144))
(.f64 (/.f64 (fma.f64 x 9 12) (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (.f64 x x) -11664))))
(.f64 (/.f64 1 (+.f64 (.f64 6561 (pow.f64 x 4)) -20736)) (.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) 144)))
(.f64 (/.f64 1 (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3)))) (.f64 (fma.f64 x 9 12) (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (*.f64 x x) -11664)))))
(.f64 (/.f64 1 (-.f64 144 (.f64 x (.f64 x 81)))) (-.f64 -12 (.f64 x 9)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 9 12)) 1) (/.f64 (sqrt.f64 (fma.f64 x 9 12)) (fma.f64 x (.f64 x 81) -144)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 9 12)) (fma.f64 x (.f64 x 81) -144)) (sqrt.f64 (fma.f64 x 9 12)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 9 12)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 9 12)) (cbrt.f64 (fma.f64 x (*.f64 x 81) -144))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 9 12)) (fma.f64 x (.f64 x 81) -144)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2) (sqrt.f64 (fma.f64 x (.f64 x 81) -144))) (/.f64 (cbrt.f64 (fma.f64 x 9 12)) (sqrt.f64 (fma.f64 x (*.f64 x 81) -144))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 2) 1) (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2) (fma.f64 x (.f64 x 81) -144)) (cbrt.f64 (fma.f64 x 9 12)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 1) (sqrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(.f64 (/.f64 (fma.f64 x 9 12) (neg.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) -20736))) (neg.f64 (fma.f64 x (*.f64 x 81) 144)))
(.f64 (/.f64 (fma.f64 x 9 12) (neg.f64 (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (.f64 x x) -11664)))))
(.f64 (/.f64 (-.f64 -12 (.f64 x 9)) (neg.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) -20736))) (fma.f64 x (.f64 x 81) 144))
(.f64 (/.f64 (-.f64 -12 (.f64 x 9)) (neg.f64 (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3))))) (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (*.f64 x x) -11664))))
(.f64 (/.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) (+.f64 (.f64 6561 (pow.f64 x 4)) -20736))) (fma.f64 x (.f64 x 81) 144))
(.f64 (/.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3))))) (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (*.f64 x x) -11664))))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 2))) (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(.f64 (/.f64 1 (/.f64 (fma.f64 x (.f64 x 81) -144) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2))) (cbrt.f64 (fma.f64 x 9 12)))
(.f64 (/.f64 (fma.f64 x 9 12) (-.f64 20736 (.f64 6561 (pow.f64 x 4)))) (-.f64 -144 (.f64 x (.f64 x 81))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 -12 (.f64 x 9)) (fma.f64 x (.f64 x 81) -144))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 2) -1) (cbrt.f64 (/.f64 (-.f64 -12 (.f64 x 9)) (fma.f64 x (.f64 x 81) -144))))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) 1) 1) (/.f64 1 (fma.f64 x (.f64 x 81) -144)))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) 1) (+.f64 (.f64 6561 (pow.f64 x 4)) -20736)) (fma.f64 x (*.f64 x 81) 144))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) 1) (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (.f64 x x) -11664))))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) 1) (neg.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) -20736))) (neg.f64 (fma.f64 x (*.f64 x 81) 144)))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) 1) (neg.f64 (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (.f64 x x) -11664)))))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) 1) (-.f64 20736 (.f64 6561 (pow.f64 x 4)))) (-.f64 -144 (.f64 x (.f64 x 81))))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (sqrt.f64 (fma.f64 x (.f64 x 81) -144))) (sqrt.f64 (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3))))) (sqrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (*.f64 x x) -11664)))))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (sqrt.f64 (fma.f64 x (.f64 x 81) -144))) (sqrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) -20736))) (sqrt.f64 (fma.f64 x (.f64 x 81) 144)))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2)) (cbrt.f64 (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (*.f64 x x) -11664)))))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2)) (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) -20736))) (cbrt.f64 (fma.f64 x (.f64 x 81) 144)))
(pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) 1)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) -1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) 3) 1/3)
(neg.f64 (/.f64 (fma.f64 x 9 12) (-.f64 144 (.f64 x (.f64 x 81)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 9 12) 3) (pow.f64 (fma.f64 x (*.f64 x 81) -144) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))

Outputs
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
-12
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 -12 x)
(*.f64 x -12)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 (.f64 x x) 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 (.f64 x x) 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 (.f64 x x) 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 (.f64 x x) 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 (.f64 x x) 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 (.f64 x x) 9))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 (.f64 x x) 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 (.f64 x x) 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 (.f64 x x) 9))
-1/12
(-.f64 (*.f64 -1/16 x) 1/12)
(fma.f64 -1/16 x -1/12)
(fma.f64 x -1/16 -1/12)
(-.f64 (+.f64 (.f64 -1/16 x) (.f64 -3/64 (pow.f64 x 2))) 1/12)
(+.f64 (fma.f64 -1/16 x (.f64 (.f64 x x) -3/64)) -1/12)
(fma.f64 x -1/16 (fma.f64 (*.f64 x x) -3/64 -1/12))
(-.f64 (+.f64 (.f64 -1/16 x) (+.f64 (.f64 -3/64 (pow.f64 x 2)) (*.f64 -9/256 (pow.f64 x 3)))) 1/12)
(+.f64 (fma.f64 -1/16 x (fma.f64 -3/64 (.f64 x x) (.f64 -9/256 (pow.f64 x 3)))) -1/12)
(+.f64 (fma.f64 (.f64 x x) -3/64 (.f64 -9/256 (pow.f64 x 3))) (fma.f64 x -1/16 -1/12))
(+.f64 (fma.f64 x -1/16 -1/12) (fma.f64 (.f64 x x) -3/64 (.f64 -9/256 (pow.f64 x 3))))
(/.f64 1/9 x)
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 4/27 (*.f64 x x)) (/.f64 1/9 x))
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(+.f64 (/.f64 4/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 16/81 (pow.f64 x 3))))
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 64/243 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 4/27 (*.f64 x x)) (/.f64 16/81 (pow.f64 x 3))) (+.f64 (/.f64 1/9 x) (/.f64 64/243 (pow.f64 x 4))))
(+.f64 (/.f64 16/81 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/9 x) (/.f64 64/243 (pow.f64 x 4))) (/.f64 4/27 (*.f64 x x))))
(+.f64 (/.f64 16/81 (pow.f64 x 3)) (+.f64 (/.f64 4/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 64/243 (pow.f64 x 4)))))
(/.f64 1/9 x)
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 4/27 (*.f64 x x)) (/.f64 1/9 x))
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(+.f64 (/.f64 4/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 16/81 (pow.f64 x 3))))
(+.f64 (.f64 4/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 64/243 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 4/27 (*.f64 x x)) (/.f64 16/81 (pow.f64 x 3))) (+.f64 (/.f64 1/9 x) (/.f64 64/243 (pow.f64 x 4))))
(+.f64 (/.f64 16/81 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/9 x) (/.f64 64/243 (pow.f64 x 4))) (/.f64 4/27 (*.f64 x x))))
(+.f64 (/.f64 16/81 (pow.f64 x 3)) (+.f64 (/.f64 4/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 64/243 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 81)))) 1)
(.f64 81 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 81)) 1)
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(.f64 81 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 81))) 3)
(.f64 81 (.f64 x x))
(pow.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 531441 (pow.f64 x 6)))
(sqrt.f64 (*.f64 6561 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 6561))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 81)))
(.f64 81 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 81)))))
(.f64 81 (.f64 x x))
(cbrt.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 531441 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 81))))
(.f64 81 (.f64 x x))
(exp.f64 (.f64 2 (log.f64 (.f64 x 9))))
(.f64 81 (.f64 x x))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 9))) 1))
(.f64 81 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 81))))
(.f64 81 (.f64 x x))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))) (.f64 (/.f64 1 (fma.f64 x 9 12)) -144))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (*.f64 x x) -144) (fma.f64 x 9 12))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144) (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81))))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (*.f64 x x) -144) (fma.f64 x 9 12))
(+.f64 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12))) (.f64 -144 (/.f64 1 (fma.f64 x 9 12))))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (*.f64 x x) -144) (fma.f64 x 9 12))
(+.f64 (.f64 -144 (/.f64 1 (fma.f64 x 9 12))) (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12))))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (*.f64 x x) -144) (fma.f64 x 9 12))
(+.f64 (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81)))) (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (*.f64 x x) -144) (fma.f64 x 9 12))
(+.f64 (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) -144)) (.f64 1 (.f64 (/.f64 1 (fma.f64 x 9 12)) (.f64 x (.f64 x 81)))))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (*.f64 x x) -144) (fma.f64 x 9 12))
(+.f64 (.f64 1 (.f64 (.f64 x (.f64 x 81)) (/.f64 1 (fma.f64 x 9 12)))) (.f64 1 (.f64 -144 (/.f64 1 (fma.f64 x 9 12)))))
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(.f64 (/.f64 (fma.f64 x 9 12) (.f64 (sqrt.f64 (fma.f64 6561 (pow.f64 x 4) -20736)) (sqrt.f64 (fma.f64 x (.f64 81 x) -144)))) (sqrt.f64 (fma.f64 x (.f64 81 x) 144)))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (sqrt.f64 (fma.f64 (pow.f64 x 4) 6561 -20736))) (sqrt.f64 (fma.f64 81 (.f64 x x) -144))) (sqrt.f64 (fma.f64 81 (*.f64 x x) 144)))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2)) (cbrt.f64 (+.f64 -2985984 (.f64 531441 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 (*.f64 x x) -11664)))))
(.f64 (/.f64 (fma.f64 x 9 12) (.f64 (cbrt.f64 (+.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)) -2985984)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 81 x) -144)) 2))) (cbrt.f64 (fma.f64 6561 (pow.f64 x 4) (-.f64 20736 (.f64 x (*.f64 x -11664))))))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (cbrt.f64 (fma.f64 531441 (pow.f64 x 6) -2985984))) (pow.f64 (cbrt.f64 (fma.f64 81 (.f64 x x) -144)) 2)) (cbrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 6561 20736) (.f64 (.f64 x x) 11664))))
(.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2)) (cbrt.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) -20736))) (cbrt.f64 (fma.f64 x (.f64 x 81) 144)))
(.f64 (/.f64 (fma.f64 x 9 12) (.f64 (cbrt.f64 (fma.f64 6561 (pow.f64 x 4) -20736)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 81 x) -144)) 2))) (cbrt.f64 (fma.f64 x (.f64 81 x) 144)))
(.f64 (/.f64 (fma.f64 x 9 12) (.f64 (pow.f64 (cbrt.f64 (fma.f64 81 (.f64 x x) -144)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) 6561 -20736)))) (cbrt.f64 (fma.f64 81 (.f64 x x) 144)))
(pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) 1)
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) -1)
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))) 2)
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))) 3)
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) 3) 1/3)
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(neg.f64 (/.f64 (fma.f64 x 9 12) (-.f64 144 (.f64 x (.f64 x 81)))))
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144)) 2))
(fabs.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)))))
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) 3))
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 9 12) 3) (pow.f64 (fma.f64 x (*.f64 x 81) -144) 3)))
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(exp.f64 (log.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144))) 1))
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144))))
(/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 81 x) -144))
(/.f64 (fma.f64 x 9 12) (fma.f64 81 (*.f64 x x) -144))

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(-.f64 (*.f64 x 9) -12)
✓	0.12%	(fma.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 144) (-.f64 (*.f64 x 9) -12)) 3)
✓	0.26%	(/.f64 (-.f64 (.f64 81 (.f64 x x)) 144) (-.f64 (*.f64 x 9) -12))
✓	0.32%	(.f64 81 (.f64 x x))

Compiler

Compiled 59 to 39 computations (33.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(fma.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 144) (-.f64 (*.f64 x 9) -12)) 3)
0.0ms	x	@	0	(.f64 81 (.f64 x x))
0.0ms	x	@	inf	(fma.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 144) (-.f64 (*.f64 x 9) -12)) 3)
0.0ms	x	@	0	(fma.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 144) (-.f64 (*.f64 x 9) -12)) 3)
0.0ms	x	@	inf	(.f64 81 (.f64 x x))

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`associate-/l*`
1844×	`associate-*l/`
342×	`add-sqr-sqrt`
328×	`add-exp-log`
328×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	356	39
2	4545	39

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(.f64 81 (.f64 x x))
(/.f64 (-.f64 (.f64 81 (.f64 x x)) 144) (-.f64 (*.f64 x 9) -12))
(fma.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 144) (-.f64 (*.f64 x 9) -12)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 81 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 81 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 (pow.f64 (*.f64 x (*.f64 81 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 6561 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 81 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 81 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 81 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 81 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 81 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 81 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 81 (/.f64 x (/.f64 (fma.f64 x 9 12) x))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) (*.f64 81 (/.f64 x (/.f64 (fma.f64 x 9 12) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 9) 12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 81 (/.f64 x (/.f64 (fma.f64 x 9 12) x))) (/.f64 144 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) 13)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -12 (exp.f64 (log1p.f64 (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 81 x) x -144) (/.f64 1 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 (*.f64 81 x) x -144))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 144 (*.f64 x (*.f64 81 x))) (/.f64 1 (neg.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (fma.f64 (*.f64 81 x) x -144) (sqrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))) (/.f64 (fma.f64 (*.f64 81 x) x -144) (cbrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 81 x) x -144) (fma.f64 (*.f64 81 x) x -144)) (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 81 x) x -144) (+.f64 (*.f64 729 (pow.f64 x 3)) 1728)) (+.f64 (fma.f64 81 (*.f64 x x) 144) (*.f64 x -108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) (cbrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) 2) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) (sqrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) 2) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 9 -12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (*.f64 81 x) x -144) (neg.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -144) 3) (pow.f64 (fma.f64 x 9 12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 9 -12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9 -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (*.f64 3 (sqrt.f64 x)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (cbrt.f64 (*.f64 x 9)) -12)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3)) (+.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) 9) 1) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3)) 1) (+.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1230×	`distribute-lft-in`
1176×	`distribute-rgt-in`
1114×	`unswap-sqr`
804×	`*-commutative`
582×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	2713
1	511	2381
2	2073	2231

Stop Event

1×	node limit

Counts

121 → 130

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))
-12
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 81 x)))) 1)
(pow.f64 (.f64 x (.f64 81 x)) 1)
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 81 x)) 3) 1/3)
(sqrt.f64 (*.f64 6561 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 81 x)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 81 x)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 81 x))))
(exp.f64 (log.f64 (.f64 x (.f64 81 x))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 81 x))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 81 x))))
(+.f64 (*.f64 x 9) -12)
(+.f64 -12 (*.f64 x 9))
(+.f64 (*.f64 81 (/.f64 x (/.f64 (fma.f64 x 9 12) x))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))
(+.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) (*.f64 81 (/.f64 x (/.f64 (fma.f64 x 9 12) x))))
(-.f64 (*.f64 x 9) 12)
(-.f64 (*.f64 81 (/.f64 x (/.f64 (fma.f64 x 9 12) x))) (/.f64 144 (fma.f64 x 9 12)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) 13)
(-.f64 (+.f64 -12 (exp.f64 (log1p.f64 (*.f64 x 9)))) 1)
(.f64 (fma.f64 (.f64 81 x) x -144) (/.f64 1 (fma.f64 x 9 12)))
(*.f64 (fma.f64 x 9 -12) 1)
(*.f64 1 (fma.f64 x 9 -12))
(.f64 (sqrt.f64 (fma.f64 (.f64 81 x) x -144)) (.f64 (sqrt.f64 (fma.f64 (.f64 81 x) x -144)) (/.f64 1 (fma.f64 x 9 12))))
(*.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) 2) (.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) (/.f64 1 (fma.f64 x 9 12))))
(*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))
(.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 (.f64 81 x) x -144))
(.f64 (-.f64 144 (.f64 x (*.f64 81 x))) (/.f64 1 (neg.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (fma.f64 (.f64 81 x) x -144) (sqrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))) (/.f64 (fma.f64 (.f64 81 x) x -144) (cbrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 (fma.f64 (.f64 81 x) x -144) (fma.f64 (*.f64 81 x) x -144)) (fma.f64 x 9 -12))
(.f64 (/.f64 (fma.f64 (.f64 81 x) x -144) (+.f64 (.f64 729 (pow.f64 x 3)) 1728)) (+.f64 (fma.f64 81 (.f64 x x) 144) (*.f64 x -108)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 81 x) x -144)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) (fma.f64 x 9 12)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 81 x) x -144)) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) (cbrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) (fma.f64 x 9 12)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) 2) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) (sqrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) 2) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))) (cbrt.f64 (fma.f64 x 9 -12)))
(pow.f64 (fma.f64 x 9 -12) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)
(pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)
(pow.f64 (/.f64 1 (fma.f64 x 9 -12)) -1)
(neg.f64 (/.f64 (fma.f64 (*.f64 81 x) x -144) (neg.f64 (fma.f64 x 9 12))))
(sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))
(log.f64 (exp.f64 (fma.f64 x 9 -12)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))
(cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -144) 3) (pow.f64 (fma.f64 x 9 12) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))
(exp.f64 (log.f64 (fma.f64 x 9 -12)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 -12)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(fma.f64 9 x -12)
(fma.f64 1 (*.f64 x 9) -12)
(fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) -12)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) -12)
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(+.f64 (*.f64 x (fma.f64 x 9 -12)) 3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) 1)
(*.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (.f64 x (fma.f64 x 9 -12)) 3))
(/.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) (+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) (-.f64 9 (.f64 (.f64 x (fma.f64 x 9 -12)) 3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) 9) 1) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))
(/.f64 (.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) 1) (+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) (-.f64 9 (.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))
(pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))

Outputs
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
-12
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 x 9 -12)
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 81 x)))) 1)
(.f64 81 (.f64 x x))
(pow.f64 (.f64 x (.f64 81 x)) 1)
(.f64 81 (.f64 x x))
(pow.f64 (*.f64 x 9) 2)
(.f64 81 (.f64 x x))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 3)
(.f64 81 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 81 x)) 3) 1/3)
(.f64 81 (.f64 x x))
(sqrt.f64 (*.f64 6561 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))
(.f64 81 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 81 x)))))
(.f64 81 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 81 x)) 3))
(.f64 81 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 81 x))))
(.f64 81 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 81 x))))
(.f64 81 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 81 x))) 1))
(.f64 81 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 81 x))))
(.f64 81 (.f64 x x))
(+.f64 (*.f64 x 9) -12)
(fma.f64 x 9 -12)
(+.f64 -12 (*.f64 x 9))
(fma.f64 x 9 -12)
(+.f64 (*.f64 81 (/.f64 x (/.f64 (fma.f64 x 9 12) x))) (neg.f64 (/.f64 144 (fma.f64 x 9 12))))
(fma.f64 81 (*.f64 (/.f64 x (fma.f64 x 9 12)) x) (/.f64 -144 (fma.f64 x 9 12)))
(fma.f64 81 (/.f64 (*.f64 x x) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(+.f64 (neg.f64 (/.f64 144 (fma.f64 x 9 12))) (*.f64 81 (/.f64 x (/.f64 (fma.f64 x 9 12) x))))
(fma.f64 81 (*.f64 (/.f64 x (fma.f64 x 9 12)) x) (/.f64 -144 (fma.f64 x 9 12)))
(fma.f64 81 (/.f64 (*.f64 x x) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(-.f64 (*.f64 x 9) 12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 81 (/.f64 x (/.f64 (fma.f64 x 9 12) x))) (/.f64 144 (fma.f64 x 9 12)))
(fma.f64 81 (*.f64 (/.f64 x (fma.f64 x 9 12)) x) (/.f64 -144 (fma.f64 x 9 12)))
(fma.f64 81 (/.f64 (*.f64 x x) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)
(fma.f64 x 9 -12)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) 13)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) -13)
(+.f64 -12 (expm1.f64 (log1p.f64 (*.f64 x 9))))
(-.f64 (+.f64 -12 (exp.f64 (log1p.f64 (*.f64 x 9)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 9))) -13)
(+.f64 -12 (expm1.f64 (log1p.f64 (*.f64 x 9))))
(.f64 (fma.f64 (.f64 81 x) x -144) (/.f64 1 (fma.f64 x 9 12)))
(fma.f64 81 (*.f64 (/.f64 x (fma.f64 x 9 12)) x) (/.f64 -144 (fma.f64 x 9 12)))
(fma.f64 81 (/.f64 (*.f64 x x) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(*.f64 (fma.f64 x 9 -12) 1)
(fma.f64 x 9 -12)
(*.f64 1 (fma.f64 x 9 -12))
(fma.f64 x 9 -12)
(.f64 (sqrt.f64 (fma.f64 (.f64 81 x) x -144)) (.f64 (sqrt.f64 (fma.f64 (.f64 81 x) x -144)) (/.f64 1 (fma.f64 x 9 12))))
(fma.f64 81 (*.f64 (/.f64 x (fma.f64 x 9 12)) x) (/.f64 -144 (fma.f64 x 9 12)))
(fma.f64 81 (/.f64 (*.f64 x x) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(*.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) 2) (.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) (/.f64 1 (fma.f64 x 9 12))))
(fma.f64 81 (*.f64 (/.f64 x (fma.f64 x 9 12)) x) (/.f64 -144 (fma.f64 x 9 12)))
(fma.f64 81 (/.f64 (*.f64 x x) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(*.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))
(fma.f64 x 9 -12)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 (.f64 81 x) x -144))
(fma.f64 81 (*.f64 (/.f64 x (fma.f64 x 9 12)) x) (/.f64 -144 (fma.f64 x 9 12)))
(fma.f64 81 (/.f64 (*.f64 x x) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(.f64 (-.f64 144 (.f64 x (*.f64 81 x))) (/.f64 1 (neg.f64 (fma.f64 x 9 12))))
(/.f64 (-.f64 144 (.f64 81 (.f64 x x))) (neg.f64 (fma.f64 x 9 12)))
(/.f64 (+.f64 144 (.f64 (.f64 x x) -81)) (+.f64 -12 (*.f64 x -9)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (fma.f64 (.f64 81 x) x -144) (sqrt.f64 (fma.f64 x 9 12))))
(/.f64 (/.f64 (fma.f64 x (*.f64 81 x) -144) (sqrt.f64 (fma.f64 x 9 12))) (sqrt.f64 (fma.f64 x 9 12)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))) (/.f64 (fma.f64 (.f64 81 x) x -144) (cbrt.f64 (fma.f64 x 9 12))))
(/.f64 (.f64 1 (/.f64 (fma.f64 (.f64 81 x) x -144) (cbrt.f64 (fma.f64 x 9 12)))) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2)))
(/.f64 (/.f64 (fma.f64 x (*.f64 81 x) -144) (cbrt.f64 (fma.f64 x 9 12))) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2)))
(/.f64 (fma.f64 x (.f64 81 x) -144) (.f64 (cbrt.f64 (fma.f64 x 9 12)) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))))
(.f64 (/.f64 (fma.f64 (.f64 81 x) x -144) (fma.f64 (*.f64 81 x) x -144)) (fma.f64 x 9 -12))
(fma.f64 x 9 -12)
(.f64 (/.f64 (fma.f64 (.f64 81 x) x -144) (+.f64 (.f64 729 (pow.f64 x 3)) 1728)) (+.f64 (fma.f64 81 (.f64 x x) 144) (*.f64 x -108)))
(.f64 (/.f64 (fma.f64 (.f64 81 x) x -144) (fma.f64 729 (pow.f64 x 3) 1728)) (+.f64 (fma.f64 81 (.f64 x x) 144) (.f64 x -108)))
(.f64 (/.f64 (fma.f64 x (.f64 81 x) -144) (fma.f64 729 (pow.f64 x 3) 1728)) (fma.f64 x -108 (fma.f64 81 (*.f64 x x) 144)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 81 x) x -144)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) (fma.f64 x 9 12)))
(fma.f64 81 (*.f64 (/.f64 x (fma.f64 x 9 12)) x) (/.f64 -144 (fma.f64 x 9 12)))
(fma.f64 81 (/.f64 (*.f64 x x) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 81 x) x -144)) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 81 x) x -144)) (cbrt.f64 (fma.f64 x 9 12))))
(/.f64 (.f64 1 (/.f64 (fma.f64 (.f64 81 x) x -144) (cbrt.f64 (fma.f64 x 9 12)))) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2)))
(/.f64 (/.f64 (fma.f64 x (*.f64 81 x) -144) (cbrt.f64 (fma.f64 x 9 12))) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2)))
(/.f64 (fma.f64 x (.f64 81 x) -144) (.f64 (cbrt.f64 (fma.f64 x 9 12)) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) (fma.f64 x 9 12)))
(fma.f64 81 (*.f64 (/.f64 x (fma.f64 x 9 12)) x) (/.f64 -144 (fma.f64 x 9 12)))
(fma.f64 81 (/.f64 (*.f64 x x) (fma.f64 x 9 12)) (/.f64 -144 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 81 x) -144) (fma.f64 x 9 12))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) 2) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 81 x) x -144)) (sqrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (fma.f64 (.f64 81 x) x -144) (sqrt.f64 (fma.f64 x 9 12))))
(/.f64 (/.f64 (fma.f64 x (*.f64 81 x) -144) (sqrt.f64 (fma.f64 x 9 12))) (sqrt.f64 (fma.f64 x 9 12)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) 2) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))) (cbrt.f64 (fma.f64 x 9 -12)))
(.f64 (cbrt.f64 (fma.f64 x 9 -12)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 81 x) x -144)) 2) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))))
(.f64 (cbrt.f64 (fma.f64 x 9 -12)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 81 x) -144)) 2) (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2))))
(/.f64 (cbrt.f64 (fma.f64 x 9 -12)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 12) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 81 x) -144)) 2)))
(pow.f64 (fma.f64 x 9 -12) 1)
(fma.f64 x 9 -12)
(pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)
(fma.f64 x 9 -12)
(pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)
(fma.f64 x 9 -12)
(pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)
(fma.f64 x 9 -12)
(pow.f64 (/.f64 1 (fma.f64 x 9 -12)) -1)
(fma.f64 x 9 -12)
(neg.f64 (/.f64 (fma.f64 (*.f64 81 x) x -144) (neg.f64 (fma.f64 x 9 12))))
(.f64 (-.f64 144 (.f64 x (*.f64 81 x))) (/.f64 1 (neg.f64 (fma.f64 x 9 12))))
(/.f64 (-.f64 144 (.f64 81 (.f64 x x))) (neg.f64 (fma.f64 x 9 12)))
(/.f64 (+.f64 144 (.f64 (.f64 x x) -81)) (+.f64 -12 (*.f64 x -9)))
(sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))
(fabs.f64 (fma.f64 x 9 -12))
(log.f64 (exp.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))
(fma.f64 x 9 -12)
(cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))
(fma.f64 x 9 -12)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 81 x) x -144) 3) (pow.f64 (fma.f64 x 9 12) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 81 x) -144) 3) (pow.f64 (fma.f64 x 9 12) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(exp.f64 (log.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 -12)) 1))
(fma.f64 x 9 -12)
(log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))
(fma.f64 x 9 -12)
(fma.f64 x 9 -12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(fma.f64 1 (*.f64 x 9) -12)
(fma.f64 x 9 -12)
(fma.f64 (.f64 3 (sqrt.f64 x)) (.f64 3 (sqrt.f64 x)) -12)
(+.f64 -12 (.f64 9 (.f64 (sqrt.f64 x) (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) -12)
(fma.f64 x 9 -12)
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (*.f64 x (fma.f64 x 9 -12)) 3)
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) 1)
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (.f64 x (fma.f64 x 9 -12)) 3))
(/.f64 (+.f64 (.f64 (.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2)) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (fma.f64 x (*.f64 (pow.f64 (fma.f64 x 9 -12) 2) x) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (fma.f64 (*.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) (+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) (-.f64 9 (.f64 (.f64 x (fma.f64 x 9 -12)) 3))))
(/.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) (+.f64 (.f64 (.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2)) (-.f64 9 (.f64 x (*.f64 (fma.f64 x 9 -12) 3)))))
(/.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) (+.f64 (fma.f64 (.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2) 9) (.f64 (.f64 x (fma.f64 x 9 -12)) -3)))
(/.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) (+.f64 9 (.f64 (*.f64 x (fma.f64 x 9 -12)) (fma.f64 x (fma.f64 x 9 -12) -3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) 9) 1) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))
(/.f64 (+.f64 (.f64 (.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2)) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (fma.f64 x (*.f64 (pow.f64 (fma.f64 x 9 -12) 2) x) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (fma.f64 (*.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) 1) (+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) (-.f64 9 (.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))
(/.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) (+.f64 (.f64 (.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2)) (-.f64 9 (.f64 x (*.f64 (fma.f64 x 9 -12) 3)))))
(/.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) (+.f64 (fma.f64 (.f64 x x) (pow.f64 (fma.f64 x 9 -12) 2) 9) (.f64 (.f64 x (fma.f64 x 9 -12)) -3)))
(/.f64 (+.f64 27 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3)) (+.f64 9 (.f64 (*.f64 x (fma.f64 x 9 -12)) (fma.f64 x (fma.f64 x 9 -12) -3))))
(pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))
(fabs.f64 (fma.f64 x (fma.f64 x 9 -12) 3))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 1))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x (fma.f64 x 9 -12) 3)

eval650.0ms (9.5%)

Compiler: Compiled 17178 to 12868 computations (25.1% saved)

prune174.0ms (2.5%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	763	4	767
Fresh	0	1	1
Picked	1	0	1
Done	3	8	11
Total	767	13	780

Error

Counts

780 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.14%	(+.f64 (+.f64 3 (.f64 (.f64 x x) 9)) (.f64 (.f64 x -4) 3))
	0.24%	(+.f64 (.f64 x (/.f64 (-.f64 144 (.f64 (.f64 x x) 81)) (-.f64 -12 (.f64 x 9)))) 3)
✓	0.11%	(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
✓	30.29%	(+.f64 (*.f64 -12 x) 3)
	68.31%	(.f64 (.f64 (*.f64 x 3) x) 3)
	68.27%	(.f64 (.f64 (*.f64 x 3) 3) x)
	68.34%	(*.f64 x (/.f64 1 (/.f64 1/9 x)))
✓	67.86%	(.f64 x (+.f64 (.f64 x 9) -12))
✓	68.23%	(.f64 x (.f64 x 9))
✓	96.14%	(*.f64 x -12)
✓	68.23%	(.f64 9 (.f64 x x))
✓	30.3%	(.f64 3 (+.f64 (.f64 x -4) 1))
	30.81%	3

Compiler

Compiled 106 to 82 computations (22.6% saved)

regimes81.0ms (1.2%)

Counts

24 → 1

Calls

Call 1

Inputs
3
(*.f64 x -12)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (*.f64 -12 x) 3)
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (/.f64 1 (/.f64 1/9 x)))
(.f64 (.f64 (*.f64 x 3) 3) x)
(.f64 (.f64 (*.f64 x 3) x) 3)
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(+.f64 (+.f64 3 (.f64 (.f64 x x) 9)) (.f64 (.f64 x -4) 3))
(+.f64 (.f64 x (/.f64 (-.f64 144 (.f64 (.f64 x x) 81)) (-.f64 -12 (.f64 x 9)))) 3)
(pow.f64 (*.f64 x 3) 2)
(fma.f64 3 (.f64 3 (.f64 x x)) 3)
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(.f64 x (/.f64 1 (/.f64 (fma.f64 x 9 12) (+.f64 (.f64 (*.f64 x x) 81) -144))))
(fma.f64 x (/.f64 (-.f64 (.f64 81 (.f64 x x)) 144) (-.f64 (*.f64 x 9) -12)) 3)
(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (.f64 x 9) -12)) 3)
(/.f64 (+.f64 27 (pow.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 3)) (+.f64 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4)))) (-.f64 9 (.f64 (.f64 3 (.f64 x (-.f64 (.f64 x 3) 4))) 3))))
(fma.f64 x (fma.f64 x 9 -12) 3)

Outputs
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)

Calls

4 calls:

40.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
18.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
12.0ms	x
4.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Results

Error	Segments	Branch
0.11%	1	`x`
0.11%	1	`(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))`
0.11%	1	`(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)`
0.11%	1	`(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))`

Compiler

Compiled 292 to 219 computations (25% saved)

regimes9.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
3
(*.f64 x -12)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (*.f64 -12 x) 3)
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (/.f64 1 (/.f64 1/9 x)))
(.f64 (.f64 (*.f64 x 3) 3) x)
(.f64 (.f64 (*.f64 x 3) x) 3)
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)

Outputs
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
3.77%	1	`x`

Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes41.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

Inputs
3
(*.f64 x -12)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (*.f64 -12 x) 3)
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (/.f64 1 (/.f64 1/9 x)))
(.f64 (.f64 (*.f64 x 3) 3) x)
(.f64 (.f64 (*.f64 x 3) x) 3)

Outputs
(.f64 x (+.f64 (.f64 x 9) -12))
(+.f64 (*.f64 -12 x) 3)
(.f64 x (+.f64 (.f64 x 9) -12))

Calls

1 calls:

39.0ms

Results

Error	Segments	Branch
2.02%	3	`x`

Compiler

Compiled 57 to 41 computations (28.1% saved)

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.05898154260194115	13.080215568421922
17.0ms	-0.8615575269804568	-1.2540173616505167e-8

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 274 to 222 computations (19% saved)

regimes14.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
3
(*.f64 x -12)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (*.f64 -12 x) 3)
(.f64 3 (+.f64 (.f64 x -4) 1))

Outputs
(.f64 9 (.f64 x x))
(+.f64 (*.f64 -12 x) 3)
(.f64 x (.f64 x 9))

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
2.72%	3	`x`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch20.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.05898154260194115	13.080215568421922
9.0ms	-3.4862263443597548	-0.9482783721860065

Results

18.0ms

192×

body

256

valid

Compiler

Compiled 186 to 146 computations (21.5% saved)

regimes55.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

Inputs
3
(*.f64 x -12)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))

Outputs
(.f64 9 (.f64 x x))
3
(.f64 x (.f64 x 9))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
3.68%	3	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch31.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.05898154260194115	13.080215568421922
18.0ms	-0.8615575269804568	-1.2540173616505167e-8

Results

28.0ms

256×

body

256

valid

Compiler

Compiled 178 to 142 computations (20.2% saved)

regimes11.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
3
(*.f64 x -12)
(.f64 9 (.f64 x x))

Outputs
(.f64 9 (.f64 x x))
3
(.f64 9 (.f64 x x))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
3.7%	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.05898154260194115	13.080215568421922
15.0ms	-0.8615575269804568	-1.2540173616505167e-8

Results

26.0ms

256×

body

256

valid

Compiler

Compiled 178 to 142 computations (20.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -42.0b remaining (-212.9%)

Threshold costs -42b (-212.9%)

Counts

2 → 1

Calls

Call 1

Inputs
3
(*.f64 x -12)

Outputs
3

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
30.81%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	249
1	63	249

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
(if (<=.f64 x -1261007895663739/2251799813685248) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 2476979795053773/4503599627370496) (+.f64 (.f64 -12 x) 3) (.f64 x (+.f64 (*.f64 x 9) -12))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 9 (.f64 x x)) (if (<=.f64 x 1) (+.f64 (.f64 -12 x) 3) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -1261007895663739/2251799813685248) (.f64 9 (.f64 x x)) (if (<=.f64 x 7656119366529843/4503599627370496) 3 (.f64 x (.f64 x 9))))
(if (<=.f64 x -1261007895663739/2251799813685248) (.f64 9 (.f64 x x)) (if (<=.f64 x 7656119366529843/4503599627370496) 3 (.f64 9 (.f64 x x))))
3

Outputs
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(+.f64 (.f64 3 (.f64 x (*.f64 x 3))) 3)
(+.f64 3 (.f64 3 (.f64 x (*.f64 x 3))))
(if (<=.f64 x -1261007895663739/2251799813685248) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 2476979795053773/4503599627370496) (+.f64 (.f64 -12 x) 3) (.f64 x (+.f64 (*.f64 x 9) -12))))
(if (or (<=.f64 x -1261007895663739/2251799813685248) (not (<=.f64 x 2476979795053773/4503599627370496))) (.f64 x (+.f64 (.f64 x 9) -12)) (+.f64 3 (*.f64 x -12)))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 9 (.f64 x x)) (if (<=.f64 x 1) (+.f64 (.f64 -12 x) 3) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 9 (.f64 x x)) (if (<=.f64 x 1) (+.f64 3 (.f64 x -12)) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -1261007895663739/2251799813685248) (.f64 9 (.f64 x x)) (if (<=.f64 x 7656119366529843/4503599627370496) 3 (.f64 x (.f64 x 9))))
(if (<=.f64 x -1261007895663739/2251799813685248) (.f64 9 (.f64 x x)) (if (<=.f64 x 7656119366529843/4503599627370496) 3 (.f64 9 (.f64 x x))))
(if (or (<=.f64 x -1261007895663739/2251799813685248) (not (<=.f64 x 7656119366529843/4503599627370496))) (.f64 9 (.f64 x x)) 3)
3

Compiler

Compiled 104 to 78 computations (25% saved)

soundness72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-+r+`
1526×	`associate-+l+`
602×	`distribute-lft-in`
582×	`distribute-rgt-in`
576×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1206
1	277	1146
2	885	1044
3	3702	1044

Stop Event

1×	node limit

Compiler

Compiled 63 to 49 computations (22.2% saved)

end61.0ms (0.9%)

Compiler: Compiled 98 to 70 computations (28.6% saved)