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 (18.2%)

Results

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

Bogosity

preprocess101.0ms (1.7%)

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)

simplify103.0ms (1.7%)

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

5 alts after pruning (5 fresh and 0 done)

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

Error

0.0b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x (fma.f64 x 9 -12) 3)
▶	0.2b	(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
▶	0.2b	(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
▶	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Compiler

Compiled 43 to 34 computations (20.9% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
✓	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 49 to 35 computations (28.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.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))
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)

rewrite144.0ms (2.4%)

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)) (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) -1) 3) (+.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)) 3)) 3) (-.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 (.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 1 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2))) (-.f64 1 (.f64 x (-.f64 (.f64 x 3) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) (.f64 (fma.f64 x 4 -1) (fma.f64 x 4 -1)))) (+.f64 (.f64 x (+.f64 (.f64 x 3) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (pow.f64 (fma.f64 x 4 -1) 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 3 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) -1))) (neg.f64 (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 3)))) (neg.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 1 (.f64 3 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) -1))) (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) -1) 3)) (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.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))))) (#(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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simplify188.0ms (3.1%)

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)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 3 x)) 6) (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 4096)) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 3) (.f64 (pow.f64 x 3) 64)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 3 x)) 2) (.f64 x (.f64 4 (.f64 x (fma.f64 x 3 4))))))))
(/.f64 (-.f64 (pow.f64 (.f64 9 (pow.f64 x 4)) 3) (.f64 (pow.f64 x 6) 4096)) (.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 (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))

localize45.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3 x -4)
✓	0.1b	(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
✓	0.1b	(fma.f64 x (fma.f64 3 x -4) 1)

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`add-sqr-sqrt`
1730×	`*-un-lft-identity`
1610×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	195	49
2	2118	49

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

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

Outputs

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

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

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

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1360×	`distribute-lft-in`
1324×	`distribute-rgt-in`
1020×	`unswap-sqr`
750×	`fma-def`
656×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1975
1	354	1585
2	1619	1407
3	7790	1407

Stop Event

1×	node limit

Counts

97 → 109

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 3 x) 4)
✓	0.1b	(.f64 x (-.f64 (.f64 3 x) 4))
✓	0.1b	(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

3 → 27

Calls

9 calls:

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

rewrite87.0ms (1.4%)

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	47
1	215	47
2	2575	47

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

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

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

simplify185.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-/r/`
1038×	`associate-/l/`
822×	`associate-r`
672×	`associate-l`
564×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	10001
1	1455	8617
2	5874	8615

Stop Event

1×	node limit

Counts

213 → 313

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))
-4
(*.f64 3 x)
(*.f64 3 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))))
(+.f64 (*.f64 3 x) -4)
(+.f64 -4 (*.f64 3 x))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 3 x -4))) -1)
(+.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 3 x 4) 9)) (neg.f64 (/.f64 16 (fma.f64 3 x 4))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) 27)) (neg.f64 (/.f64 64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))))))
(*.f64 (fma.f64 3 x -4) 1)
(*.f64 1 (fma.f64 3 x -4))
(*.f64 (sqrt.f64 (fma.f64 3 x -4)) (sqrt.f64 (fma.f64 3 x -4)))
(*.f64 (cbrt.f64 (fma.f64 3 x -4)) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2) (cbrt.f64 (fma.f64 3 x -4)))
(.f64 (+.f64 (.f64 (*.f64 x x) 9) -16) (/.f64 1 (fma.f64 3 x 4)))
(.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (/.f64 1 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (*.f64 x 12)))))
(.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (/.f64 1 (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (.f64 (.f64 3 x) -4)))))
(.f64 (/.f64 1 (fma.f64 3 x 4)) (+.f64 (.f64 (*.f64 x x) 9) -16))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12)))) (+.f64 (pow.f64 (*.f64 3 x) 3) -64))
(.f64 (+.f64 (neg.f64 (.f64 (*.f64 x x) 9)) 16) (/.f64 1 (neg.f64 (fma.f64 3 x 4))))
(.f64 (+.f64 (neg.f64 (pow.f64 (.f64 3 x) 3)) 64) (/.f64 1 (neg.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (*.f64 x 12))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 9) -16) (+.f64 (.f64 (*.f64 x x) 9) -16)) (fma.f64 3 x -4))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 9) -16) (+.f64 64 (pow.f64 (.f64 3 x) 3))) (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (*.f64 x 12))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (-.f64 (.f64 81 (pow.f64 x 4)) (pow.f64 (+.f64 16 (.f64 x 12)) 2))) (-.f64 (.f64 (.f64 x x) 9) (+.f64 16 (*.f64 x 12))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (+.f64 (pow.f64 (.f64 (.f64 x x) 9) 3) (pow.f64 (+.f64 16 (.f64 x 12)) 3))) (+.f64 (.f64 81 (pow.f64 x 4)) (.f64 (+.f64 16 (.f64 x 12)) (-.f64 (+.f64 16 (.f64 x 12)) (.f64 (*.f64 x x) 9)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 3 x -4))) (cbrt.f64 (fma.f64 3 x -4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 3 x -4))) (cbrt.f64 (fma.f64 3 x -4))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 3 x -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 3 x -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 3 x -4)) (sqrt.f64 (cbrt.f64 (fma.f64 3 x -4)))) (*.f64 (cbrt.f64 (fma.f64 3 x -4)) (sqrt.f64 (cbrt.f64 (fma.f64 3 x -4)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 3 x -4)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 3 x -4)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 3 x -4) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 3 x -4) 3) 1/6))
(/.f64 1 (/.f64 1 (fma.f64 3 x -4)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (.f64 (.f64 3 x) -4))) (+.f64 (pow.f64 (*.f64 3 x) 3) -64)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 3 x -4)) 1))
(/.f64 1 (/.f64 (neg.f64 (fma.f64 3 x 4)) (+.f64 (neg.f64 (.f64 (.f64 x x) 9)) 16)))
(/.f64 1 (/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12)))) (+.f64 (neg.f64 (pow.f64 (.f64 3 x) 3)) 64)))
(/.f64 (+.f64 (.f64 (.f64 x x) 9) -16) (fma.f64 3 x 4))
(/.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))))
(/.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (.f64 (*.f64 3 x) -4))))
(/.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (+.f64 16 (-.f64 (.f64 (.f64 x x) 9) (.f64 (*.f64 3 x) -4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64)) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) -64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64)) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (.f64 (.f64 3 x) -4))) (sqrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) 9) -16)) (/.f64 (fma.f64 3 x 4) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 9) -16))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64)) (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64))) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) -64))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64)) (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64))) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (.f64 (.f64 3 x) -4))) (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 9) -16)) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 9) -16))) (/.f64 (fma.f64 3 x 4) (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 9) -16))))
(/.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -256) (.f64 (fma.f64 3 x 4) (+.f64 (.f64 (.f64 x x) 9) 16)))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 729) -4096) (.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) (+.f64 64 (pow.f64 (.f64 3 x) 3))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 729) -4096) (.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (.f64 (.f64 3 x) -4))) (+.f64 64 (pow.f64 (*.f64 3 x) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) 9) 3) -4096) (.f64 (fma.f64 3 x 4) (+.f64 (.f64 81 (pow.f64 x 4)) (+.f64 256 (.f64 (.f64 x x) 144)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 3 x) 3) 3) -262144) (.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) (+.f64 (.f64 (pow.f64 x 6) 729) (+.f64 4096 (.f64 64 (pow.f64 (.f64 3 x) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 3 x) 3) 3) -262144) (.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (.f64 (.f64 3 x) -4))) (+.f64 (.f64 (pow.f64 x 6) 729) (+.f64 4096 (.f64 64 (pow.f64 (*.f64 3 x) 3))))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) 9)) 16) (neg.f64 (fma.f64 3 x 4)))
(/.f64 (+.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 (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 (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 (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 (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) 1) (neg.f64 (fma.f64 3 x 4)))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (.f64 3 x) 3)) 64) 1) (neg.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (*.f64 x 12)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64)) (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)) (sqrt.f64 (fma.f64 3 x -4))) (sqrt.f64 (fma.f64 3 x 4)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64)) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2)) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (*.f64 x 12)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 9) -16)) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2)) (cbrt.f64 (fma.f64 3 x 4)))
(/.f64 (.f64 (+.f64 (.f64 81 (pow.f64 x 4)) -256) (/.f64 1 (fma.f64 3 x 4))) (+.f64 (.f64 (.f64 x x) 9) 16))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) 9) 3) -4096) (/.f64 1 (fma.f64 3 x 4))) (+.f64 (.f64 81 (pow.f64 x 4)) (+.f64 256 (.f64 (.f64 x x) 144))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) 729) -4096) (/.f64 1 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))))) (+.f64 64 (pow.f64 (.f64 3 x) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 3 x) 3) 3) -262144) (/.f64 1 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))))) (+.f64 (.f64 (pow.f64 x 6) 729) (+.f64 4096 (.f64 64 (pow.f64 (.f64 3 x) 3)))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 9) -16) 1) (fma.f64 3 x 4))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 9) -16) (sqrt.f64 (fma.f64 3 x 4))) (sqrt.f64 (fma.f64 3 x 4)))
(/.f64 (/.f64 (+.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 (pow.f64 (.f64 3 x) 3) -64) 1) (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))))
(/.f64 (/.f64 (+.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 (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 16 (.f64 (.f64 x x) 9)) (-.f64 -4 (*.f64 3 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 3 x -4))) (exp.f64 (log1p.f64 (fma.f64 3 x -4)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 3 x -4))) 1))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (/.f64 (fma.f64 3 x 4) 9)) (/.f64 (.f64 x x) (/.f64 (fma.f64 3 x 4) 9))) (.f64 (/.f64 16 (fma.f64 3 x 4)) (/.f64 16 (fma.f64 3 x 4)))) (+.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 3 x 4) 9)) (/.f64 16 (fma.f64 3 x 4))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) 27)) (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) 27))) (.f64 (/.f64 64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12)))) (/.f64 64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12)))))) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) 27)) (/.f64 64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 3 x -4))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 3 x -4))) (exp.f64 (log1p.f64 (fma.f64 3 x -4)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 3 x -4))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (/.f64 (fma.f64 3 x 4) 9)) 3) (pow.f64 (/.f64 16 (fma.f64 3 x 4)) 3)) (+.f64 (.f64 (/.f64 (.f64 x x) (/.f64 (fma.f64 3 x 4) 9)) (/.f64 (.f64 x x) (/.f64 (fma.f64 3 x 4) 9))) (+.f64 (.f64 (/.f64 16 (fma.f64 3 x 4)) (/.f64 16 (fma.f64 3 x 4))) (.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 3 x 4) 9)) (/.f64 16 (fma.f64 3 x 4))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) 27)) 3) (pow.f64 (/.f64 64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12)))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) 27)) (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) 27))) (+.f64 (.f64 (/.f64 64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12)))) (/.f64 64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))))) (.f64 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))) 27)) (/.f64 64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (*.f64 x 12))))))))
(pow.f64 (fma.f64 3 x -4) 1)
(pow.f64 (sqrt.f64 (fma.f64 3 x -4)) 2)
(pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 3)
(pow.f64 (pow.f64 (fma.f64 3 x -4) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 9) -16) (neg.f64 (fma.f64 3 x 4))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (neg.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))))))
(sqrt.f64 (pow.f64 (fma.f64 3 x -4) 2))
(log.f64 (exp.f64 (fma.f64 3 x -4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x -4))))
(cbrt.f64 (pow.f64 (fma.f64 3 x -4) 3))
(expm1.f64 (log1p.f64 (fma.f64 3 x -4)))
(exp.f64 (log.f64 (fma.f64 3 x -4)))
(log1p.f64 (expm1.f64 (fma.f64 3 x -4)))
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(fma.f64 1 (*.f64 3 x) -4)
(fma.f64 (sqrt.f64 (.f64 3 x)) (sqrt.f64 (.f64 3 x)) -4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) (cbrt.f64 (.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))))
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(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 3) (+.f64 (fma.f64 (.f64 x x) 9 16) (.f64 x 12))) 27) 3) (/.f64 262144 (pow.f64 (+.f64 (fma.f64 (.f64 x x) 9 16) (.f64 x 12)) 3))) (fma.f64 (.f64 (/.f64 (pow.f64 x 3) (+.f64 (fma.f64 (.f64 x x) 9 16) (.f64 x 12))) 27) (.f64 (/.f64 (pow.f64 x 3) (+.f64 (fma.f64 (.f64 x x) 9 16) (.f64 x 12))) 27) (.f64 (/.f64 64 (+.f64 (fma.f64 (.f64 x x) 9 16) (.f64 x 12))) (+.f64 (.f64 (/.f64 (pow.f64 x 3) (+.f64 (fma.f64 (.f64 x x) 9 16) (.f64 x 12))) 27) (/.f64 64 (+.f64 (fma.f64 (.f64 x x) 9 16) (*.f64 x 12)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 27 (pow.f64 x 3)) (fma.f64 x (.f64 x 9) (fma.f64 x 12 16))) 3) (/.f64 -262144 (pow.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16)) 3))) (fma.f64 (/.f64 64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16))) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (.f64 x 9) (fma.f64 x 12 16))) 27 (/.f64 64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16)))) (/.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16)) 27)) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16)) 27))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 27 (pow.f64 x 3)) (fma.f64 x (.f64 x 9) (fma.f64 x 12 16))) 3) (/.f64 -262144 (pow.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16)) 3))) (fma.f64 (/.f64 64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16))) (fma.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (.f64 x 9) (fma.f64 x 12 16))) 27 (/.f64 64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16)))) (.f64 (/.f64 (pow.f64 x 6) (.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16)) (/.f64 (fma.f64 x (.f64 x 9) (fma.f64 x 12 16)) 27))) 27)))
(pow.f64 (fma.f64 3 x -4) 1)
(fma.f64 3 x -4)
(pow.f64 (sqrt.f64 (fma.f64 3 x -4)) 2)
(fma.f64 3 x -4)
(pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 3)
(fma.f64 3 x -4)
(pow.f64 (pow.f64 (fma.f64 3 x -4) 3) 1/3)
(fma.f64 3 x -4)
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 9) -16) (neg.f64 (fma.f64 3 x 4))))
(/.f64 (+.f64 16 (.f64 (.f64 x x) -9)) (neg.f64 (fma.f64 3 x 4)))
(/.f64 (fma.f64 (.f64 x x) -9 16) (+.f64 -4 (.f64 x -3)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (neg.f64 (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 x 12))))))
(/.f64 (+.f64 (neg.f64 (.f64 27 (pow.f64 x 3))) 64) (neg.f64 (+.f64 (fma.f64 (.f64 x x) 9 16) (*.f64 x 12))))
(/.f64 (+.f64 (.f64 -27 (pow.f64 x 3)) 64) (-.f64 (.f64 x (*.f64 x -9)) (fma.f64 x 12 16)))
(/.f64 (+.f64 (.f64 -27 (pow.f64 x 3)) 64) (-.f64 (.f64 -12 x) (fma.f64 x (*.f64 x 9) 16)))
(sqrt.f64 (pow.f64 (fma.f64 3 x -4) 2))
(fabs.f64 (fma.f64 3 x -4))
(log.f64 (exp.f64 (fma.f64 3 x -4)))
(fma.f64 3 x -4)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x -4))))
(fma.f64 3 x -4)
(cbrt.f64 (pow.f64 (fma.f64 3 x -4) 3))
(fma.f64 3 x -4)
(expm1.f64 (log1p.f64 (fma.f64 3 x -4)))
(fma.f64 3 x -4)
(exp.f64 (log.f64 (fma.f64 3 x -4)))
(fma.f64 3 x -4)
(log1p.f64 (expm1.f64 (fma.f64 3 x -4)))
(fma.f64 3 x -4)
(fma.f64 3 x -4)
(fma.f64 x 3 -4)
(fma.f64 3 x -4)
(fma.f64 1 (*.f64 3 x) -4)
(fma.f64 3 x -4)
(fma.f64 (sqrt.f64 (.f64 3 x)) (sqrt.f64 (.f64 3 x)) -4)
(fma.f64 3 x -4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 x)) 2) (cbrt.f64 (.f64 3 x)) -4)
(fma.f64 3 x -4)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 9 -12)
✓	0.1b	(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
0.0ms	x	@	0	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	-inf	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	inf	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	0	(fma.f64 x 9 -12)
0.0ms	x	@	-inf	(fma.f64 x 9 -12)

rewrite55.0ms (0.9%)

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)))))))

simplify82.0ms (1.3%)

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)

eval558.0ms (9.2%)

Compiler: Compiled 23492 to 18353 computations (21.9% saved)

prune237.0ms (3.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	908	9	917
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	911	10	921

Error

Counts

921 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 3 (/.f64 x (/.f64 1 (fma.f64 3 x -4))) 3)
	2.2b	(fma.f64 3 (.f64 x (.f64 3 x)) 3)
▶	0.2b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
▶	25.6b	(+.f64 (*.f64 -12 x) 3)
	37.5b	(.f64 (.f64 x x) 9)
▶	36.9b	(.f64 x (+.f64 (.f64 x 9) -12))
▶	37.5b	(.f64 x (.f64 x 9))
✓	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
	37.6b	(.f64 3 (.f64 x (*.f64 x 3)))
	25.6b	3

Compiler

Compiled 150 to 117 computations (22% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x 3) 4)
✓	0.1b	(.f64 x (-.f64 (.f64 x 3) 4))
✓	0.1b	(.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4)))

Compiler

Compiled 39 to 30 computations (23.1% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite82.0ms (1.3%)

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	45
1	197	45
2	2394	45

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

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

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-/l*`
1186×	`unswap-sqr`
836×	`distribute-lft-in`
806×	`distribute-rgt-in`
692×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1984
1	392	1844
2	1519	1742
3	6525	1742

Stop Event

1×	node limit

Counts

106 → 108

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.8%)

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))))))))

simplify45.0ms (0.7%)

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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -12 x) 3)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 9

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (*.f64 -12 x) 3)
0.0ms	x	@	0	(+.f64 (*.f64 -12 x) 3)
0.0ms	x	@	-inf	(+.f64 (*.f64 -12 x) 3)

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`add-sqr-sqrt`
1484×	`*-un-lft-identity`
1402×	`add-cube-cbrt`
1392×	`add-cbrt-cube`
1378×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	153	9
2	1823	9

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -12 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 144 (*.f64 x x)) (fma.f64 -12 x -3)) (/.f64 9 (fma.f64 -12 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -12 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -12 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -12 x 3)) (sqrt.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -12 x 3)) (pow.f64 (cbrt.f64 (fma.f64 -12 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -12 x 3)) 2) (cbrt.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 144 (*.f64 x x)) -9) (/.f64 1 (fma.f64 -12 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 27 (*.f64 -1728 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 144 (*.f64 x x)) (-.f64 9 (*.f64 x -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -12 x -3) (+.f64 (*.f64 144 (*.f64 x x)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 144 (*.f64 x x)) (-.f64 9 (*.f64 x -36))) (+.f64 27 (*.f64 -1728 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 144 (*.f64 x x)) -9) (fma.f64 -12 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (*.f64 -1728 (pow.f64 x 3))) (+.f64 (*.f64 144 (*.f64 x x)) (-.f64 9 (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (*.f64 -1728 (pow.f64 x 3))) (+.f64 9 (-.f64 (*.f64 144 (*.f64 x x)) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 144 (*.f64 x x))) (-.f64 3 (*.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 144 (*.f64 x x)) -9)) (neg.f64 (fma.f64 -12 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 27 (*.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 144 (*.f64 x x)) (-.f64 9 (*.f64 x -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -12 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -12 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -12 x 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -12 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -12 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -12 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -12 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -12 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -12 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -12 x)) (sqrt.f64 (*.f64 -12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -12 x)) 2) (cbrt.f64 (*.f64 -12 x)) 3)))))

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1138×	`fma-def`
936×	`associate-/l*`
876×	`associate-r`
810×	`*-commutative`
706×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	834
1	210	774
2	756	710
3	3314	626
4	7570	626

Stop Event

1×	node limit

Counts

42 → 43

Calls

Call 1

Inputs
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 (+.f64 1 (fma.f64 -12 x 3)) 1)
(-.f64 (/.f64 (.f64 144 (.f64 x x)) (fma.f64 -12 x -3)) (/.f64 9 (fma.f64 -12 x -3)))
(*.f64 (fma.f64 -12 x 3) 1)
(*.f64 1 (fma.f64 -12 x 3))
(*.f64 (sqrt.f64 (fma.f64 -12 x 3)) (sqrt.f64 (fma.f64 -12 x 3)))
(*.f64 (cbrt.f64 (fma.f64 -12 x 3)) (pow.f64 (cbrt.f64 (fma.f64 -12 x 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -12 x 3)) 2) (cbrt.f64 (fma.f64 -12 x 3)))
(.f64 (+.f64 (.f64 144 (*.f64 x x)) -9) (/.f64 1 (fma.f64 -12 x -3)))
(.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 144 (.f64 x x)) (-.f64 9 (*.f64 x -36)))))
(/.f64 1 (/.f64 (fma.f64 -12 x -3) (+.f64 (.f64 144 (.f64 x x)) -9)))
(/.f64 1 (/.f64 (+.f64 (.f64 144 (.f64 x x)) (-.f64 9 (.f64 x -36))) (+.f64 27 (.f64 -1728 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 144 (.f64 x x)) -9) (fma.f64 -12 x -3))
(/.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (+.f64 (.f64 144 (.f64 x x)) (-.f64 9 (.f64 x -36))))
(/.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (+.f64 9 (-.f64 (.f64 144 (.f64 x x)) (.f64 x -36))))
(/.f64 (-.f64 9 (.f64 144 (.f64 x x))) (-.f64 3 (*.f64 -12 x)))
(/.f64 (neg.f64 (+.f64 (.f64 144 (.f64 x x)) -9)) (neg.f64 (fma.f64 -12 x -3)))
(/.f64 (neg.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 144 (.f64 x x)) (-.f64 9 (.f64 x -36)))))
(pow.f64 (fma.f64 -12 x 3) 1)
(pow.f64 (sqrt.f64 (fma.f64 -12 x 3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -12 x 3)) 3)
(pow.f64 (pow.f64 (fma.f64 -12 x 3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -12 x 3) 2))
(log.f64 (exp.f64 (fma.f64 -12 x 3)))
(cbrt.f64 (pow.f64 (fma.f64 -12 x 3) 3))
(expm1.f64 (log1p.f64 (fma.f64 -12 x 3)))
(exp.f64 (log.f64 (fma.f64 -12 x 3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -12 x 3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -12 x 3)))
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(fma.f64 1 (*.f64 -12 x) 3)
(fma.f64 (sqrt.f64 (.f64 -12 x)) (sqrt.f64 (.f64 -12 x)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -12 x)) 2) (cbrt.f64 (.f64 -12 x)) 3)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x 9) -12)
✓	0.2b	(.f64 x (+.f64 (.f64 x 9) -12))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (1%)

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)))))

simplify102.0ms (1.7%)

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)

localize42.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 3 x -4)
✓	0.1b	(/.f64 1 (fma.f64 3 x -4))
✓	0.1b	(/.f64 x (/.f64 1 (fma.f64 3 x -4)))
✓	0.1b	(fma.f64 3 (/.f64 x (/.f64 1 (fma.f64 3 x -4))) 3)

Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite75.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`associate-*r/`
916×	`*-commutative`
804×	`associate-/r*`
654×	`associate-*l/`
626×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	229	53
2	2788	53

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(fma.f64 3 (/.f64 x (/.f64 1 (fma.f64 3 x -4))) 3)
(/.f64 x (/.f64 1 (fma.f64 3 x -4)))
(/.f64 1 (fma.f64 3 x -4))

Outputs

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

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1644×	`associate-/r*`
1514×	`associate-/l*`
1486×	`distribute-lft-in`
1476×	`distribute-rgt-in`
606×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	344	4989
1	885	4255
2	3070	4255

Stop Event

1×	node limit

Counts

169 → 205

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))
-1/4
(-.f64 (*.f64 -3/16 x) 1/4)
(-.f64 (+.f64 (.f64 -9/64 (pow.f64 x 2)) (.f64 -3/16 x)) 1/4)
(-.f64 (+.f64 (.f64 -27/256 (pow.f64 x 3)) (+.f64 (.f64 -9/64 (pow.f64 x 2)) (*.f64 -3/16 x))) 1/4)
(/.f64 1/3 x)
(+.f64 (.f64 4/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 16/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/9 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 16/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 4/9 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1/3 x)
(+.f64 (.f64 4/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (.f64 16/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/9 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 16/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 4/9 (/.f64 1 (pow.f64 x 2))))))
(+.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 1 (fma.f64 3 (.f64 x (fma.f64 3 x -4)) 3))
(.f64 (fma.f64 3 (.f64 x (fma.f64 3 x -4)) 3) 1)
(.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 1 (.f64 x (fma.f64 3 x -4))) 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 (-.f64 (.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2)) 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 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2)) (-.f64 9 (/.f64 9 (/.f64 (/.f64 1 (fma.f64 3 x -4)) x)))))
(/.f64 (.f64 1 (-.f64 (.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2)) 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 9 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2)) (-.f64 9 (/.f64 9 (/.f64 (/.f64 1 (fma.f64 3 x -4)) x)))))
(/.f64 (.f64 (-.f64 (.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2)) 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 9 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2)) (-.f64 9 (/.f64 9 (/.f64 (/.f64 1 (fma.f64 3 x -4)) x)))))
(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 (.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 (neg.f64 x) (.f64 x -3)) (*.f64 (neg.f64 x) 4))
(+.f64 (.f64 (.f64 x (.f64 3 x)) 1) (.f64 (*.f64 x -4) 1))
(+.f64 (.f64 (.f64 x -3) (neg.f64 x)) (*.f64 4 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4)))) 1)
(*.f64 x (fma.f64 3 x -4))
(.f64 1 (.f64 x (fma.f64 3 x -4)))
(.f64 (.f64 x (fma.f64 3 x -4)) 1)
(.f64 (sqrt.f64 (fma.f64 3 x -4)) (.f64 x (sqrt.f64 (fma.f64 3 x -4))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 3 x -4)))
(.f64 (sqrt.f64 (.f64 x (fma.f64 3 x -4))) (sqrt.f64 (*.f64 x (fma.f64 3 x -4))))
(.f64 (cbrt.f64 (fma.f64 3 x -4)) (.f64 x (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 3 x -4)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 2))
(.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))) 2) (cbrt.f64 (*.f64 x (fma.f64 3 x -4))))
(*.f64 (fma.f64 3 x -4) x)
(.f64 -1 (.f64 x (-.f64 4 (*.f64 3 x))))
(.f64 (-.f64 4 (.f64 3 x)) (neg.f64 x))
(.f64 (neg.f64 x) (-.f64 4 (.f64 3 x)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2)) (cbrt.f64 (fma.f64 3 x -4)))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 3 x -4)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 3 x -4)) (/.f64 (sqrt.f64 x) 1))
(.f64 (.f64 (cbrt.f64 x) (fma.f64 3 x -4)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (cbrt.f64 x) (fma.f64 3 x -4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (.f64 x (cbrt.f64 (fma.f64 3 x -4))))
(.f64 (.f64 x (sqrt.f64 (fma.f64 3 x -4))) (sqrt.f64 (fma.f64 3 x -4)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (cbrt.f64 (fma.f64 3 x -4)))
(.f64 (.f64 x (cbrt.f64 (fma.f64 3 x -4))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))))
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (sqrt.f64 x) (fma.f64 3 x -4)))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (fma.f64 3 x -4))))
(.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (fma.f64 3 x -4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (cbrt.f64 x) (fma.f64 3 x -4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 3 x -4) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 3 x -4) -1/2)))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 3 x -4) -1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 3 x -4) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (cbrt.f64 (.f64 x (fma.f64 3 x -4))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) 1) (cbrt.f64 (fma.f64 3 x -4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (fma.f64 3 x -4))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (fma.f64 3 x -4)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 3 x -4))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 4 (*.f64 3 x))))
(.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) -1) (cbrt.f64 (-.f64 4 (.f64 3 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4)))) (cbrt.f64 (.f64 x (fma.f64 3 x -4)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4)))) (cbrt.f64 (*.f64 x (fma.f64 3 x -4)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 3 x -4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 3 x -4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))) (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))))) (.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))) (sqrt.f64 (cbrt.f64 (*.f64 x (fma.f64 3 x -4))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))) 2)) (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 3 x -4))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 3 x -4))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 3 x -4))))))
(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)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 3 x -4)) x) -1)
(neg.f64 (.f64 x (-.f64 4 (.f64 3 x))))
(neg.f64 (.f64 1 (.f64 x (-.f64 4 (*.f64 3 x)))))
(neg.f64 (.f64 (.f64 x (-.f64 4 (*.f64 3 x))) 1))
(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))
(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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 3 x -4)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 3 x -4)))
(*.f64 (/.f64 1 (fma.f64 3 x -4)) 1)
(*.f64 (pow.f64 (fma.f64 3 x -4) -1/2) (pow.f64 (fma.f64 3 x -4) -1/2))
(*.f64 (pow.f64 (fma.f64 3 x -4) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 3 x -4)))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (fma.f64 3 x -4)))))
(*.f64 -1 (/.f64 -1 (fma.f64 3 x -4)))
(*.f64 (/.f64 -1 (fma.f64 3 x -4)) -1)
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 3 x -4))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 3 x -4)))))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4))) (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4)))) (neg.f64 (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4)))))
(*.f64 (/.f64 -1 (sqrt.f64 (fma.f64 3 x -4))) (/.f64 -1 (sqrt.f64 (fma.f64 3 x -4))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 3 x -4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) 1) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 3 x -4)) -1) (pow.f64 (sqrt.f64 (fma.f64 3 x -4)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2) -1))
(.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 9) 16)) (-.f64 (.f64 3 x) -4))
(.f64 (/.f64 1 (+.f64 -64 (pow.f64 (.f64 3 x) 3))) (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 (.f64 x -3) -4))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 3 x -4)))) (sqrt.f64 (/.f64 -1 (fma.f64 3 x -4))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4))) (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4))))) (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 3 x -4)))) (pow.f64 (fma.f64 3 x -4) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)))) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4)))) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4)))) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2))))
(pow.f64 (/.f64 1 (fma.f64 3 x -4)) 1)
(pow.f64 (pow.f64 (fma.f64 3 x -4) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 3 x -4) 3)) 1/3)
(pow.f64 (fma.f64 3 x -4) -1)
(neg.f64 (/.f64 -1 (fma.f64 3 x -4)))
(sqrt.f64 (pow.f64 (fma.f64 3 x -4) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 3 x -4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 3 x -4)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3 x -4) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 3 x -4))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 3 x -4))))
(log1p.f64 (expm1.f64 (/.f64 1 (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 -12 x (fma.f64 9 (*.f64 x 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 -12 x (fma.f64 9 (*.f64 x x) 3))
(*.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 -12 x (fma.f64 9 (*.f64 x 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 -12 x (fma.f64 9 (*.f64 x x) 3))
(*.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 -12 x (fma.f64 9 (*.f64 x 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 -12 x (fma.f64 9 (*.f64 x x) 3))
(*.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))
-1/4
(-.f64 (*.f64 -3/16 x) 1/4)
(fma.f64 -3/16 x -1/4)
(fma.f64 x -3/16 -1/4)
(-.f64 (+.f64 (.f64 -9/64 (pow.f64 x 2)) (.f64 -3/16 x)) 1/4)
(+.f64 (.f64 (.f64 x x) -9/64) (fma.f64 -3/16 x -1/4))
(fma.f64 (*.f64 x x) -9/64 (fma.f64 x -3/16 -1/4))
(-.f64 (+.f64 (.f64 -27/256 (pow.f64 x 3)) (+.f64 (.f64 -9/64 (pow.f64 x 2)) (*.f64 -3/16 x))) 1/4)
(+.f64 (fma.f64 -27/256 (pow.f64 x 3) (fma.f64 -9/64 (.f64 x x) (.f64 x -3/16))) -1/4)
(fma.f64 -27/256 (pow.f64 x 3) (fma.f64 (*.f64 x x) -9/64 (fma.f64 x -3/16 -1/4)))
(/.f64 1/3 x)
(+.f64 (.f64 4/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 4/9 (*.f64 x x)) (/.f64 1/3 x))
(+.f64 (.f64 16/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/9 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 16/27 (pow.f64 x 3)) (+.f64 (/.f64 4/9 (*.f64 x x)) (/.f64 1/3 x)))
(+.f64 (/.f64 4/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 16/27 (pow.f64 x 3))))
(+.f64 (.f64 16/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 4/9 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 16/27 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 4/9 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 64/81 (pow.f64 x 4))))
(+.f64 (/.f64 4/9 (*.f64 x x)) (+.f64 (/.f64 16/27 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 64/81 (pow.f64 x 4)))))
(/.f64 1/3 x)
(+.f64 (.f64 4/9 (/.f64 1 (pow.f64 x 2))) (.f64 1/3 (/.f64 1 x)))
(+.f64 (/.f64 4/9 (*.f64 x x)) (/.f64 1/3 x))
(+.f64 (.f64 16/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 x)) (*.f64 4/9 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 16/27 (pow.f64 x 3)) (+.f64 (/.f64 4/9 (*.f64 x x)) (/.f64 1/3 x)))
(+.f64 (/.f64 4/9 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 16/27 (pow.f64 x 3))))
(+.f64 (.f64 16/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/3 (/.f64 1 x)) (.f64 4/9 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 16/27 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 4/9 (*.f64 x x)) (/.f64 1/3 x)) (/.f64 64/81 (pow.f64 x 4))))
(+.f64 (/.f64 4/9 (*.f64 x x)) (+.f64 (/.f64 16/27 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 64/81 (pow.f64 x 4)))))
(+.f64 3 (.f64 3 (.f64 x (fma.f64 3 x -4))))
(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)
(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)
(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))
(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)
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(.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)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(.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))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(.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)))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(.f64 (+.f64 1 (.f64 x (fma.f64 3 x -4))) 3)
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(.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))))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(.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 (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)) (.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 (pow.f64 (cbrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)))) (cbrt.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))))))
(.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)))))
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(.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 (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)) (.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 (pow.f64 (cbrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)))) (cbrt.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))))))
(/.f64 (-.f64 (.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2)) 9) (-.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3))
(/.f64 (fma.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) -9) (fma.f64 3 (.f64 x (fma.f64 3 x -4)) -3))
(/.f64 (fma.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) -9) (fma.f64 (.f64 3 x) (fma.f64 3 x -4) -3))
(/.f64 (+.f64 27 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3)) (+.f64 (.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2)) (-.f64 9 (/.f64 9 (/.f64 (/.f64 1 (fma.f64 3 x -4)) x)))))
(/.f64 (+.f64 27 (pow.f64 (.f64 (.f64 3 x) (fma.f64 3 x -4)) 3)) (fma.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (-.f64 9 (.f64 (/.f64 9 (/.f64 1 (fma.f64 3 x -4))) x))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3) 27) (-.f64 (fma.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) 9) (.f64 x (.f64 9 (fma.f64 3 x -4)))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3) 27) (+.f64 (fma.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) 9) (.f64 -9 (.f64 x (fma.f64 3 x -4)))))
(/.f64 (.f64 1 (-.f64 (.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2)) 9)) (-.f64 (.f64 3 (*.f64 x (fma.f64 3 x -4))) 3))
(/.f64 (fma.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) -9) (fma.f64 3 (.f64 x (fma.f64 3 x -4)) -3))
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(*.f64 x (fma.f64 3 x -4))
(neg.f64 (.f64 (.f64 x (-.f64 4 (*.f64 3 x))) 1))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2))
(fabs.f64 (*.f64 x (fma.f64 3 x -4)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 3 x -4)))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(*.f64 x (fma.f64 3 x -4))
(log.f64 (+.f64 1 (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))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 3 x -4)))) 1)
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 1 (/.f64 1 (fma.f64 3 x -4)))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (/.f64 1 (fma.f64 3 x -4)) 1)
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (pow.f64 (fma.f64 3 x -4) -1/2) (pow.f64 (fma.f64 3 x -4) -1/2))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (pow.f64 (fma.f64 3 x -4) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 3 x -4)))))
(*.f64 (pow.f64 (fma.f64 3 x -4) -1/2) (/.f64 1 (sqrt.f64 (fma.f64 3 x -4))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (/.f64 -1 (fma.f64 x -3 4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (/.f64 -1 (fma.f64 x -3 4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (fma.f64 3 x -4)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (/.f64 1 (cbrt.f64 (fma.f64 3 x -4))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (fma.f64 3 x -4)))
(*.f64 -1 (/.f64 -1 (fma.f64 3 x -4)))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (/.f64 -1 (fma.f64 3 x -4)) -1)
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 3 x -4))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 3 x -4)))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4))) (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4)))) (neg.f64 (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4)))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (/.f64 -1 (sqrt.f64 (fma.f64 3 x -4))) (/.f64 -1 (sqrt.f64 (fma.f64 3 x -4))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 3 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (/.f64 1 (cbrt.f64 (fma.f64 3 x -4))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (fma.f64 3 x -4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) 1) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (/.f64 -1 (fma.f64 x -3 4))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 3 x -4)) -1) (pow.f64 (sqrt.f64 (fma.f64 3 x -4)) -1))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) -1))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2) -1))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(.f64 (/.f64 1 (-.f64 (.f64 (.f64 x x) 9) 16)) (-.f64 (.f64 3 x) -4))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) 9 -16)) (fma.f64 3 x 4))
(/.f64 (fma.f64 3 x 4) (fma.f64 9 (*.f64 x x) -16))
(.f64 (/.f64 1 (+.f64 -64 (pow.f64 (.f64 3 x) 3))) (+.f64 (.f64 (.f64 x x) 9) (+.f64 16 (.f64 (.f64 x -3) -4))))
(/.f64 (.f64 1 (fma.f64 (.f64 x x) 9 (+.f64 16 (.f64 x 12)))) (+.f64 -64 (.f64 27 (pow.f64 x 3))))
(/.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x 12 16)) (fma.f64 27 (pow.f64 x 3) -64))
(/.f64 (fma.f64 x (*.f64 x 9) (fma.f64 x 12 16)) (fma.f64 27 (pow.f64 x 3) -64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 3 x -4)))) (sqrt.f64 (/.f64 -1 (fma.f64 3 x -4))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4))) (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4))))) (cbrt.f64 (/.f64 -1 (fma.f64 3 x -4))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 3 x -4)))) (pow.f64 (fma.f64 3 x -4) -1/2))
(*.f64 (pow.f64 (fma.f64 3 x -4) -1/2) (/.f64 1 (sqrt.f64 (fma.f64 3 x -4))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)))) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (cbrt.f64 (/.f64 -1 (fma.f64 x -3 4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4)))) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4)))) (cbrt.f64 (/.f64 1 (fma.f64 3 x -4)))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 3 x -4) -1/2))))
(pow.f64 (/.f64 1 (fma.f64 3 x -4)) 1)
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(pow.f64 (pow.f64 (fma.f64 3 x -4) -1/2) 2)
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 3 x -4))) 3)
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 3 x -4) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3 x -4) 3)))
(pow.f64 (fma.f64 3 x -4) -1)
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(neg.f64 (/.f64 -1 (fma.f64 3 x -4)))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(sqrt.f64 (pow.f64 (fma.f64 3 x -4) -2))
(fabs.f64 (/.f64 -1 (fma.f64 x -3 4)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 3 x -4))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 3 x -4)))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3 x -4) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 3 x -4))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(exp.f64 (neg.f64 (log.f64 (fma.f64 3 x -4))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 3 x -4))))
(/.f64 1 (fma.f64 3 x -4))
(/.f64 -1 (fma.f64 x -3 4))

eval192.0ms (3.2%)

Compiler: Compiled 7537 to 5954 computations (21% saved)

prune73.0ms (1.2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	485	3	488
Fresh	0	4	4
Picked	1	0	1
Done	0	5	5
Total	486	12	498

Error

Counts

498 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	2.3b	(fma.f64 3 (/.f64 x (/.f64 1/3 x)) 3)
▶	2.2b	(fma.f64 3 (.f64 x (.f64 3 x)) 3)
▶	0.1b	(+.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 3)
✓	0.2b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
✓	25.6b	(+.f64 (*.f64 -12 x) 3)
▶	37.5b	(.f64 (.f64 x x) 9)
✓	36.9b	(.f64 x (+.f64 (.f64 x 9) -12))
✓	37.5b	(.f64 x (.f64 x 9))
▶	61.4b	(*.f64 x -12)
✓	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
▶	37.6b	(.f64 3 (.f64 x (*.f64 x 3)))
	25.6b	3

Compiler

Compiled 140 to 108 computations (22.9% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -12 (*.f64 x 9))
✓	0.2b	(.f64 x (+.f64 -12 (.f64 x 9)))

Compiler

Compiled 29 to 22 computations (24.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`add-sqr-sqrt`
1806×	`*-un-lft-identity`
1710×	`add-cube-cbrt`
1690×	`add-cbrt-cube`
170×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	178	24
2	2245	24

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1740×	`associate-+r+`
784×	`unswap-sqr`
672×	`*-commutative`
634×	`fma-def`
612×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1814
1	396	1478
2	1596	1338
3	6385	1338

Stop Event

1×	node limit

Counts

82 → 86

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

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

localize4.0ms (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
✓	0.2b	(.f64 (.f64 x x) 9)

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`add-sqr-sqrt`
1050×	`*-un-lft-identity`
998×	`pow1`
982×	`add-cube-cbrt`
974×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	123	13
2	1406	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x 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 (*.f64 81 (pow.f64 x 4)))))) (#(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))))))))

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1734×	`distribute-rgt-in`
1708×	`distribute-lft-in`
1452×	`log-prod`
990×	`associate-r`
894×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	299
1	91	299
2	358	299
3	2323	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 (*.f64 81 (pow.f64 x 4)))
(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 (*.f64 81 (pow.f64 x 4)))
(.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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 12 computations (33.3% 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	@	-inf	(.f64 x (.f64 x 3))
0.0ms	x	@	0	(.f64 x (.f64 x 3))

rewrite58.0ms (0.9%)

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))))))))

simplify67.0ms (1.1%)

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))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3 (.f64 x (.f64 3 x)) 3)
✓	0.2b	(.f64 x (.f64 3 x))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`add-sqr-sqrt`
1468×	`*-un-lft-identity`
1360×	`add-cube-cbrt`
1342×	`add-cbrt-cube`
1326×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	160	32
2	1857	32

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1388×	`distribute-lft-in`
1316×	`distribute-rgt-in`
780×	`associate-+r+`
704×	`associate-+l+`
678×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	904
1	226	868
2	981	858
3	3058	858

Stop Event

1×	node limit

Counts

58 → 47

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

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

eval97.0ms (1.6%)

Compiler: Compiled 2152 to 1567 computations (27.2% saved)

prune24.0ms (0.4%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	1	2
Picked	1	0	1
Done	0	9	9
Total	175	11	186

Error

Counts

186 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (/.f64 x (/.f64 (+.f64 -12 (.f64 x -9)) (+.f64 144 (.f64 -81 (*.f64 x x))))) 3)
✓	0.1b	(+.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 3)
✓	0.2b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
✓	25.6b	(+.f64 (*.f64 -12 x) 3)
✓	37.5b	(.f64 (.f64 x x) 9)
✓	36.9b	(.f64 x (+.f64 (.f64 x 9) -12))
✓	37.5b	(.f64 x (.f64 x 9))
✓	61.4b	(*.f64 x -12)
✓	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
✓	37.6b	(.f64 3 (.f64 x (*.f64 x 3)))
	25.6b	3

Compiler

Compiled 94 to 73 computations (22.3% saved)

localize44.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 144 (.f64 -81 (.f64 x x)))
✓	0.1b	(/.f64 (+.f64 -12 (.f64 x -9)) (+.f64 144 (.f64 -81 (*.f64 x x))))
✓	0.2b	(.f64 -81 (.f64 x x))
✓	0.3b	(/.f64 x (/.f64 (+.f64 -12 (.f64 x -9)) (+.f64 144 (.f64 -81 (*.f64 x x)))))

Compiler

Compiled 75 to 50 computations (33.3% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 x (/.f64 (+.f64 -12 (.f64 x -9)) (+.f64 144 (.f64 -81 (*.f64 x x)))))
1.0ms	x	@	inf	(/.f64 x (/.f64 (+.f64 -12 (.f64 x -9)) (+.f64 144 (.f64 -81 (*.f64 x x)))))
0.0ms	x	@	-inf	(/.f64 x (/.f64 (+.f64 -12 (.f64 x -9)) (+.f64 144 (.f64 -81 (*.f64 x x)))))
0.0ms	x	@	inf	(.f64 -81 (.f64 x x))
0.0ms	x	@	inf	(+.f64 144 (.f64 -81 (.f64 x x)))

rewrite114.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`associate-/r/`
1000×	`distribute-lft-in`
868×	`associate-/l/`
320×	`add-sqr-sqrt`
304×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	112
1	320	92
2	4352	92

Stop Event

1×	node limit

Counts

4 → 245

Calls

Call 1

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

Outputs
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(.f64 (+.f64 144 (.f64 (.f64 x x) 81)) (+.f64 (.f64 6561 (pow.f64 x 4)) 20736)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 26623333280885243904 (pow.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (.f64 x x)))) (-.f64 (+.f64 8916100448256 (.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8916100448256 (pow.f64 (.f64 6561 (pow.f64 x 4)) 3)) (.f64 (+.f64 144 (.f64 (.f64 x x) 81)) (+.f64 (+.f64 429981696 (.f64 (.f64 6561 (pow.f64 x 4)) (.f64 6561 (pow.f64 x 4)))) (.f64 20736 (.f64 6561 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -81 (.f64 x x) 144) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -81 (.f64 x x) 144)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 144)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -81 (.f64 x x) 144) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -81 (.f64 x x) 144) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -81 (.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -81 (.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -81 (.f64 x x) 144) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -81 (.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -81 (.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -81 (.f64 x x) 144)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -81 (.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -81 (.f64 x x) 144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) -81 144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x -81)) 144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 -81)) (.f64 x (sqrt.f64 -81)) 144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -81))) 144)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -81) x 144)))))

simplify153.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1600×	`associate-r`
1024×	`associate-l`
978×	`*-commutative`
800×	`distribute-lft-in`
768×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	672	12929
1	2098	12645

Stop Event

1×	node limit

Counts

293 → 374

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 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
(*.f64 -81 (pow.f64 x 2))
-1/12
(-.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))))))
144
(+.f64 (*.f64 -81 (pow.f64 x 2)) 144)
(+.f64 (*.f64 -81 (pow.f64 x 2)) 144)
(+.f64 (*.f64 -81 (pow.f64 x 2)) 144)
(*.f64 -81 (pow.f64 x 2))
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(*.f64 -81 (pow.f64 x 2))
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(+.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 144) (.f64 (/.f64 x (fma.f64 x -9 -12)) (.f64 x (.f64 x -81))))
(+.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) (.f64 x (.f64 x -81))) (.f64 (/.f64 x (fma.f64 x -9 -12)) 144))
(+.f64 (.f64 144 (/.f64 x (fma.f64 x -9 -12))) (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x -9 -12))))
(+.f64 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x -9 -12))) (.f64 144 (/.f64 x (fma.f64 x -9 -12))))
(+.f64 (.f64 1 (.f64 (/.f64 x (fma.f64 x -9 -12)) 144)) (.f64 1 (.f64 (/.f64 x (fma.f64 x -9 -12)) (.f64 x (.f64 x -81)))))
(+.f64 (.f64 1 (.f64 (/.f64 x (fma.f64 x -9 -12)) (.f64 x (.f64 x -81)))) (.f64 1 (.f64 (/.f64 x (fma.f64 x -9 -12)) 144)))
(+.f64 (.f64 1 (.f64 144 (/.f64 x (fma.f64 x -9 -12)))) (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x -9 -12)))))
(+.f64 (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x -9 -12)))) (.f64 1 (.f64 144 (/.f64 x (fma.f64 x -9 -12)))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 1) 144) (.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 1) (.f64 x (.f64 x -81))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 1) (.f64 x (.f64 x -81))) (.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 1) 144))
(+.f64 (.f64 (/.f64 x (-.f64 12 (.f64 x -9))) -144) (.f64 (/.f64 x (-.f64 12 (.f64 x -9))) (neg.f64 (.f64 x (.f64 x -81)))))
(+.f64 (.f64 (/.f64 x (-.f64 12 (.f64 x -9))) (neg.f64 (.f64 x (.f64 x -81)))) (.f64 (/.f64 x (-.f64 12 (.f64 x -9))) -144))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -81 (.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12))))) 1)
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 (fma.f64 -81 (.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))
(.f64 (.f64 (fma.f64 -81 (*.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12))) 1)
(.f64 1 (.f64 (fma.f64 -81 (*.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12))))
(.f64 (sqrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))) (sqrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 -81 (*.f64 x x) 144) (fma.f64 x -9 -12))))
(.f64 (cbrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))) 2) (cbrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 (fma.f64 -81 (*.f64 x x) 144) (fma.f64 x -9 -12))))
(.f64 (/.f64 x (fma.f64 x -9 -12)) (fma.f64 -81 (.f64 x x) 144))
(.f64 (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)) x)
(.f64 (neg.f64 x) (.f64 -1 (/.f64 (fma.f64 -81 (*.f64 x x) 144) (fma.f64 x -9 -12))))
(.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 1) (fma.f64 -81 (*.f64 x x) 144))
(.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) (sqrt.f64 (fma.f64 -81 (.f64 x x) 144))) (sqrt.f64 (fma.f64 -81 (.f64 x x) 144)))
(.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 144)) 2)) (cbrt.f64 (fma.f64 -81 (.f64 x x) 144)))
(.f64 (/.f64 x 1) (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x -9 -12))) (/.f64 (fma.f64 -81 (.f64 x x) 144) (sqrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -9 -12)) 2)) (/.f64 (fma.f64 -81 (.f64 x x) 144) (cbrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 1 (fma.f64 x -9 -12)) (.f64 x (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 1 (fma.f64 x -9 -12)) (.f64 (/.f64 x 1) (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (.f64 1 (sqrt.f64 (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))) (/.f64 x (sqrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (.f64 x x) 144)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (.f64 x x) 144))) 2)) (/.f64 x (cbrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (*.f64 x x) 144)))))
(.f64 (/.f64 x (-.f64 12 (.f64 x -9))) (neg.f64 (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 x (-.f64 144 (.f64 (.f64 x x) 81))) (.f64 (fma.f64 -81 (.f64 x x) 144) (+.f64 -12 (.f64 9 x))))
(.f64 (/.f64 x (+.f64 -1728 (.f64 -729 (pow.f64 x 3)))) (.f64 (fma.f64 -81 (.f64 x x) 144) (-.f64 (.f64 (.f64 x x) 81) (-.f64 (*.f64 108 x) 144))))
(.f64 (/.f64 1 (-.f64 12 (.f64 x -9))) (.f64 x (neg.f64 (fma.f64 -81 (.f64 x x) 144))))
(.f64 (.f64 -1 (/.f64 (fma.f64 -81 (*.f64 x x) 144) (fma.f64 x -9 -12))) (neg.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (fma.f64 x -9 -12)) (.f64 (/.f64 (sqrt.f64 x) 1) (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) (fma.f64 x -9 -12)) (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) (fma.f64 x -9 -12)) (fma.f64 -81 (*.f64 x x) 144)) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (.f64 x x) 144))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (*.f64 x x) 144)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -9 -12)) (.f64 (/.f64 (cbrt.f64 x) 1) (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) (fma.f64 x -9 -12)) (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (.f64 x x) 144)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (*.f64 x x) 144)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (.f64 x x) 144))) 2)) (cbrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))))
(.f64 (/.f64 x -1) (neg.f64 (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12))))
(.f64 (/.f64 x (neg.f64 (-.f64 12 (.f64 x -9)))) (neg.f64 (neg.f64 (fma.f64 -81 (*.f64 x x) 144))))
(.f64 (/.f64 (/.f64 x 1) 1) (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 (/.f64 (/.f64 x 1) (-.f64 144 (.f64 (.f64 x x) 81))) (.f64 (fma.f64 -81 (.f64 x x) 144) (+.f64 -12 (.f64 9 x))))
(.f64 (/.f64 (/.f64 x 1) (+.f64 -1728 (.f64 -729 (pow.f64 x 3)))) (.f64 (fma.f64 -81 (.f64 x x) 144) (-.f64 (.f64 (.f64 x x) 81) (-.f64 (*.f64 108 x) 144))))
(.f64 (/.f64 x (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) (/.f64 1 (fma.f64 -81 (.f64 x x) 144)))) (+.f64 -12 (.f64 9 x)))
(.f64 (/.f64 x (.f64 (+.f64 -1728 (.f64 -729 (pow.f64 x 3))) (/.f64 1 (fma.f64 -81 (.f64 x x) 144)))) (-.f64 (.f64 (.f64 x x) 81) (-.f64 (*.f64 108 x) 144)))
(.f64 (/.f64 x (/.f64 (fma.f64 x -9 -12) (sqrt.f64 (fma.f64 -81 (.f64 x x) 144)))) (sqrt.f64 (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 x (/.f64 (fma.f64 x -9 -12) (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 144)) 2))) (cbrt.f64 (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 x (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) 1)) (.f64 (+.f64 -12 (.f64 9 x)) (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 x (.f64 (+.f64 -1728 (.f64 -729 (pow.f64 x 3))) 1)) (.f64 (-.f64 (.f64 (.f64 x x) 81) (-.f64 (.f64 108 x) 144)) (fma.f64 -81 (.f64 x x) 144)))
(.f64 (/.f64 1 (/.f64 (fma.f64 x -9 -12) (.f64 (sqrt.f64 x) (fma.f64 -81 (*.f64 x x) 144)))) (sqrt.f64 x))
(.f64 (/.f64 1 (/.f64 (fma.f64 x -9 -12) (.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 -81 (*.f64 x x) 144)))) (cbrt.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (.f64 x x) 144))) (cbrt.f64 x))
(.f64 (/.f64 (/.f64 x (fma.f64 x -9 -12)) 1) (fma.f64 -81 (.f64 x x) 144))
(.f64 (/.f64 (/.f64 x (fma.f64 x -9 -12)) (/.f64 1 (sqrt.f64 (fma.f64 -81 (.f64 x x) 144)))) (sqrt.f64 (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 (/.f64 x (fma.f64 x -9 -12)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 144)) 2))) (cbrt.f64 (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (/.f64 (/.f64 x (fma.f64 x -9 -12)) -1) (neg.f64 (fma.f64 -81 (.f64 x x) 144)))
(.f64 (/.f64 (neg.f64 x) -1) (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 12 (.f64 x -9)))) (neg.f64 (fma.f64 -81 (*.f64 x x) 144)))
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(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (*.f64 x x) 144))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (*.f64 x x) 144))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (*.f64 x x) 144)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 -81 (*.f64 x x) 144) (fma.f64 x -9 -12)) -1)
(neg.f64 (/.f64 (fma.f64 x -9 -12) (neg.f64 (fma.f64 -81 (*.f64 x x) 144))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (*.f64 x x) 144)) 2))
(log.f64 (exp.f64 (/.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 -81 (*.f64 x x) 144)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (*.f64 x x) 144)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -9 -12) 3) (pow.f64 (fma.f64 -81 (*.f64 x x) 144) 3)))
(expm1.f64 (log1p.f64 (/.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 -81 (*.f64 x x) 144))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (.f64 x x) 144))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 -81 (*.f64 x x) 144))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -81)))) -143)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -81 (*.f64 x x) 144))) 1)
(-.f64 (/.f64 20736 (+.f64 144 (.f64 (.f64 x x) 81))) (/.f64 (.f64 6561 (pow.f64 x 4)) (+.f64 144 (.f64 (*.f64 x x) 81))))
(-.f64 (+.f64 144 (exp.f64 (log1p.f64 (.f64 x (.f64 x -81))))) 1)
(.f64 (fma.f64 -81 (.f64 x x) 144) 1)
(.f64 1 (fma.f64 -81 (.f64 x x) 144))
(.f64 (sqrt.f64 (fma.f64 -81 (.f64 x x) 144)) (sqrt.f64 (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 144)) (pow.f64 (cbrt.f64 (fma.f64 -81 (*.f64 x x) 144)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -81 (.f64 x x) 144)) 2) (cbrt.f64 (fma.f64 -81 (*.f64 x x) 144)))
(.f64 (-.f64 20736 (.f64 6561 (pow.f64 x 4))) (/.f64 1 (+.f64 144 (.f64 (.f64 x x) 81))))
(.f64 (+.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (.f64 x x))))))
(.f64 (/.f64 1 (+.f64 144 (.f64 (.f64 x x) 81))) (-.f64 20736 (.f64 6561 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (.f64 x x))))) (+.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3))))
(.f64 (/.f64 (-.f64 20736 (.f64 6561 (pow.f64 x 4))) (-.f64 20736 (.f64 6561 (pow.f64 x 4)))) (fma.f64 -81 (.f64 x x) 144))
(.f64 (/.f64 (-.f64 20736 (.f64 6561 (pow.f64 x 4))) (-.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (+.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) 20736) (.f64 -11664 (*.f64 x x))))
(.f64 (/.f64 (+.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3))) (-.f64 429981696 (.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -11664 (.f64 x x))) (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -11664 (.f64 x x)))))) (+.f64 (-.f64 20736 (.f64 6561 (pow.f64 x 4))) (.f64 -11664 (*.f64 x x))))
(.f64 (/.f64 (+.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3))) (+.f64 8916100448256 (pow.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -11664 (.f64 x x))) 3))) (-.f64 (+.f64 429981696 (.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -11664 (.f64 x x))) (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -11664 (.f64 x x))))) (.f64 20736 (-.f64 (.f64 6561 (pow.f64 x 4)) (.f64 -11664 (*.f64 x x))))))
(/.f64 (fma.f64 -81 (*.f64 x x) 144) 1)
(/.f64 1 (/.f64 1 (fma.f64 -81 (*.f64 x x) 144)))
(/.f64 1 (/.f64 (+.f64 144 (.f64 (.f64 x x) 81)) (-.f64 20736 (*.f64 6561 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (.f64 x x)))) (+.f64 2985984 (.f64 -531441 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (-.f64 20736 (.f64 6561 (pow.f64 x 4))) (+.f64 144 (.f64 (*.f64 x x) 81)))
(/.f64 (+.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 20736 (.f64 6561 (pow.f64 x 4)))) (neg.f64 (+.f64 144 (.f64 (*.f64 x x) 81))))
(/.f64 (neg.f64 (-.f64 20736 (.f64 6561 (pow.f64 x 4)))) (.f64 1 (neg.f64 (+.f64 144 (.f64 (.f64 x x) 81)))))
(/.f64 (neg.f64 (+.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (.f64 1 (neg.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (.f64 x x)))))))
(/.f64 (-.f64 8916100448256 (.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (.f64 x x)))) (-.f64 2985984 (.f64 -531441 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) 20736) (-.f64 (.f64 x (*.f64 x -81)) 144))
(/.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) 20736) (.f64 1 (-.f64 (.f64 x (.f64 x -81)) 144)))
(/.f64 (-.f64 429981696 (.f64 (.f64 6561 (pow.f64 x 4)) (.f64 6561 (pow.f64 x 4)))) (.f64 (+.f64 144 (.f64 (.f64 x x) 81)) (+.f64 (*.f64 6561 (pow.f64 x 4)) 20736)))
(/.f64 (+.f64 26623333280885243904 (pow.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (.f64 x x)))) (-.f64 (+.f64 8916100448256 (.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3))))))
(/.f64 (-.f64 8916100448256 (pow.f64 (.f64 6561 (pow.f64 x 4)) 3)) (.f64 (+.f64 144 (.f64 (.f64 x x) 81)) (+.f64 (+.f64 429981696 (.f64 (.f64 6561 (pow.f64 x 4)) (.f64 6561 (pow.f64 x 4)))) (.f64 20736 (*.f64 6561 (pow.f64 x 4))))))
(pow.f64 (fma.f64 -81 (*.f64 x x) 144) 1)
(pow.f64 (sqrt.f64 (fma.f64 -81 (*.f64 x x) 144)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -81 (*.f64 x x) 144)) 3)
(pow.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 144) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 144) 2))
(log.f64 (exp.f64 (fma.f64 -81 (*.f64 x x) 144)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -81 (*.f64 x x) 144))))
(cbrt.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 144) 3))
(expm1.f64 (log1p.f64 (fma.f64 -81 (*.f64 x x) 144)))
(exp.f64 (log.f64 (fma.f64 -81 (*.f64 x x) 144)))
(exp.f64 (.f64 (log.f64 (fma.f64 -81 (.f64 x x) 144)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -81 (*.f64 x x) 144)))
(fma.f64 -81 (*.f64 x x) 144)
(fma.f64 (*.f64 x x) -81 144)
(fma.f64 1 (.f64 x (.f64 x -81)) 144)
(fma.f64 (.f64 x (sqrt.f64 -81)) (.f64 x (sqrt.f64 -81)) 144)
(fma.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -81))) 144)
(fma.f64 (*.f64 x -81) x 144)

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 -12 (.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 -12 (.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 -12 (.f64 x 9)))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 -12 (.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 -12 (.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 -12 (.f64 x 9)))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 x (+.f64 -12 (.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 -12 (.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 -12 (.f64 x 9)))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
-1/12
(-.f64 (*.f64 -1/16 x) 1/12)
(fma.f64 -1/16 x -1/12)
(-.f64 (+.f64 (.f64 -1/16 x) (.f64 -3/64 (pow.f64 x 2))) 1/12)
(+.f64 (fma.f64 -1/16 x (.f64 -3/64 (.f64 x x))) -1/12)
(+.f64 (.f64 x (.f64 x -3/64)) (fma.f64 -1/16 x -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 -3/64 (.f64 x x) (.f64 -9/256 (pow.f64 x 3))) (fma.f64 -1/16 x -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 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 1/9 x) (+.f64 (/.f64 4/27 (*.f64 x 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 4/27 (*.f64 x x)) (+.f64 (/.f64 16/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 64/243 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 4/27 (*.f64 x x)) (/.f64 16/81 (pow.f64 x 3)))) (/.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 1/9 x) (+.f64 (/.f64 4/27 (*.f64 x 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 4/27 (*.f64 x x)) (+.f64 (/.f64 16/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 64/243 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 4/27 (*.f64 x x)) (/.f64 16/81 (pow.f64 x 3)))) (/.f64 64/243 (pow.f64 x 4)))
144
(+.f64 (*.f64 -81 (pow.f64 x 2)) 144)
(fma.f64 -81 (*.f64 x x) 144)
(+.f64 (*.f64 -81 (pow.f64 x 2)) 144)
(fma.f64 -81 (*.f64 x x) 144)
(+.f64 (*.f64 -81 (pow.f64 x 2)) 144)
(fma.f64 -81 (*.f64 x x) 144)
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 144)
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 144)
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 144)
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 144)
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 144)
(+.f64 144 (*.f64 -81 (pow.f64 x 2)))
(fma.f64 -81 (*.f64 x x) 144)
(+.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 144) (.f64 (/.f64 x (fma.f64 x -9 -12)) (.f64 x (.f64 x -81))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) (.f64 x (.f64 x -81))) (.f64 (/.f64 x (fma.f64 x -9 -12)) 144))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 144 (/.f64 x (fma.f64 x -9 -12))) (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x -9 -12))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x -9 -12))) (.f64 144 (/.f64 x (fma.f64 x -9 -12))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 1 (.f64 (/.f64 x (fma.f64 x -9 -12)) 144)) (.f64 1 (.f64 (/.f64 x (fma.f64 x -9 -12)) (.f64 x (.f64 x -81)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 1 (.f64 (/.f64 x (fma.f64 x -9 -12)) (.f64 x (.f64 x -81)))) (.f64 1 (.f64 (/.f64 x (fma.f64 x -9 -12)) 144)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 1 (.f64 144 (/.f64 x (fma.f64 x -9 -12)))) (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x -9 -12)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 1 (.f64 (.f64 x (.f64 x -81)) (/.f64 x (fma.f64 x -9 -12)))) (.f64 1 (.f64 144 (/.f64 x (fma.f64 x -9 -12)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 1) 144) (.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 1) (.f64 x (.f64 x -81))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 1) (.f64 x (.f64 x -81))) (.f64 (.f64 (/.f64 x (fma.f64 x -9 -12)) 1) 144))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 (/.f64 x (-.f64 12 (.f64 x -9))) -144) (.f64 (/.f64 x (-.f64 12 (.f64 x -9))) (neg.f64 (.f64 x (.f64 x -81)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(+.f64 (.f64 (/.f64 x (-.f64 12 (.f64 x -9))) (neg.f64 (.f64 x (.f64 x -81)))) (.f64 (/.f64 x (-.f64 12 (.f64 x -9))) -144))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -81 (.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12))))) 1)
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 (fma.f64 -81 (.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 (.f64 (fma.f64 -81 (*.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12))) 1)
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 1 (.f64 (fma.f64 -81 (*.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 (sqrt.f64 (.f64 (fma.f64 -81 (.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))) (sqrt.f64 (.f64 (fma.f64 -81 (*.f64 x x) 144) (/.f64 x (fma.f64 x -9 -12)))))
(.f64 x (/.f64 (fma.f64 -81 (.f64 x x) 144) (fma.f64 x -9 -12)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 -81 (*.f64 x x) 144) (fma.f64 x -9 -12))))
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(/.f64 (-.f64 8916100448256 (.f64 282429536481 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))))) (.f64 (+.f64 2985984 (.f64 (pow.f64 (.f64 x x) 3) 531441)) (+.f64 (fma.f64 6561 (pow.f64 x 4) 20736) (.f64 (.f64 x x) 11664))))
(/.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) 20736) (-.f64 (.f64 x (*.f64 x -81)) 144))
(/.f64 (fma.f64 6561 (pow.f64 x 4) -20736) (fma.f64 x (*.f64 x -81) -144))
(/.f64 (-.f64 (.f64 6561 (pow.f64 x 4)) 20736) (.f64 1 (-.f64 (.f64 x (.f64 x -81)) 144)))
(/.f64 (fma.f64 6561 (pow.f64 x 4) -20736) (fma.f64 x (*.f64 x -81) -144))
(/.f64 (-.f64 429981696 (.f64 (.f64 6561 (pow.f64 x 4)) (.f64 6561 (pow.f64 x 4)))) (.f64 (+.f64 144 (.f64 (.f64 x x) 81)) (+.f64 (*.f64 6561 (pow.f64 x 4)) 20736)))
(/.f64 (-.f64 429981696 (.f64 43046721 (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 (fma.f64 6561 (pow.f64 x 4) 20736) (+.f64 144 (.f64 x (*.f64 x 81)))))
(/.f64 (-.f64 429981696 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) 43046721))) (.f64 (fma.f64 6561 (pow.f64 x 4) 20736) (+.f64 144 (.f64 (*.f64 x x) 81))))
(/.f64 (+.f64 26623333280885243904 (pow.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (.f64 6561 (pow.f64 x 4)) (-.f64 20736 (.f64 -11664 (.f64 x x)))) (-.f64 (+.f64 8916100448256 (.f64 (.f64 -531441 (pow.f64 (.f64 x x) 3)) (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (.f64 2985984 (.f64 -531441 (pow.f64 (.f64 x x) 3))))))
(/.f64 (+.f64 26623333280885243904 (.f64 -150094635296999121 (pow.f64 (pow.f64 (.f64 x x) 3) 3))) (.f64 (-.f64 (fma.f64 6561 (pow.f64 x 4) 20736) (.f64 (.f64 x x) -11664)) (+.f64 8916100448256 (-.f64 (.f64 282429536481 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3))) (.f64 -1586874322944 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (/.f64 (+.f64 26623333280885243904 (.f64 -150094635296999121 (pow.f64 (pow.f64 (.f64 x x) 3) 3))) (+.f64 (fma.f64 6561 (pow.f64 x 4) 20736) (.f64 (.f64 x x) 11664))) (+.f64 8916100448256 (-.f64 (.f64 282429536481 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 (pow.f64 (*.f64 x x) 3) -1586874322944))))
(/.f64 (-.f64 8916100448256 (pow.f64 (.f64 6561 (pow.f64 x 4)) 3)) (.f64 (+.f64 144 (.f64 (.f64 x x) 81)) (+.f64 (+.f64 429981696 (.f64 (.f64 6561 (pow.f64 x 4)) (.f64 6561 (pow.f64 x 4)))) (.f64 20736 (*.f64 6561 (pow.f64 x 4))))))
(/.f64 (-.f64 8916100448256 (.f64 282429536481 (pow.f64 (pow.f64 x 4) 3))) (.f64 (+.f64 144 (.f64 x (.f64 x 81))) (+.f64 (+.f64 429981696 (.f64 43046721 (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (*.f64 136048896 (pow.f64 x 4)))))
(/.f64 (-.f64 8916100448256 (.f64 282429536481 (pow.f64 (pow.f64 x 4) 3))) (.f64 (+.f64 144 (.f64 (.f64 x x) 81)) (+.f64 (+.f64 429981696 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) 43046721))) (*.f64 (pow.f64 x 4) 136048896))))
(pow.f64 (fma.f64 -81 (*.f64 x x) 144) 1)
(fma.f64 -81 (*.f64 x x) 144)
(pow.f64 (sqrt.f64 (fma.f64 -81 (*.f64 x x) 144)) 2)
(fma.f64 -81 (*.f64 x x) 144)
(pow.f64 (cbrt.f64 (fma.f64 -81 (*.f64 x x) 144)) 3)
(fma.f64 -81 (*.f64 x x) 144)
(pow.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 144) 3) 1/3)
(fma.f64 -81 (*.f64 x x) 144)
(sqrt.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 144) 2))
(log.f64 (exp.f64 (fma.f64 -81 (*.f64 x x) 144)))
(fma.f64 -81 (*.f64 x x) 144)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -81 (*.f64 x x) 144))))
(fma.f64 -81 (*.f64 x x) 144)
(cbrt.f64 (pow.f64 (fma.f64 -81 (*.f64 x x) 144) 3))
(fma.f64 -81 (*.f64 x x) 144)
(expm1.f64 (log1p.f64 (fma.f64 -81 (*.f64 x x) 144)))
(fma.f64 -81 (*.f64 x x) 144)
(exp.f64 (log.f64 (fma.f64 -81 (*.f64 x x) 144)))
(fma.f64 -81 (*.f64 x x) 144)
(exp.f64 (.f64 (log.f64 (fma.f64 -81 (.f64 x x) 144)) 1))
(fma.f64 -81 (*.f64 x x) 144)
(log1p.f64 (expm1.f64 (fma.f64 -81 (*.f64 x x) 144)))
(fma.f64 -81 (*.f64 x x) 144)
(fma.f64 -81 (*.f64 x x) 144)
(fma.f64 (*.f64 x x) -81 144)
(fma.f64 -81 (*.f64 x x) 144)
(fma.f64 1 (.f64 x (.f64 x -81)) 144)
(fma.f64 -81 (*.f64 x x) 144)
(fma.f64 (.f64 x (sqrt.f64 -81)) (.f64 x (sqrt.f64 -81)) 144)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -81)) 2) 144)
(+.f64 144 (pow.f64 (*.f64 x (sqrt.f64 -81)) 2))
(fma.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -81))) 144)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 6561)) (cbrt.f64 (.f64 x (*.f64 x -81))) 144)
(fma.f64 (*.f64 x -81) x 144)
(fma.f64 -81 (*.f64 x x) 144)

eval176.0ms (2.9%)

Compiler: Compiled 10277 to 7518 computations (26.8% saved)

prune65.0ms (1.1%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	373	1	374
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	373	12	385

Error

Counts

385 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(+.f64 (/.f64 x (/.f64 (+.f64 -12 (.f64 x -9)) (+.f64 144 (.f64 -81 (*.f64 x x))))) 3)
	2.2b	(+.f64 (/.f64 x (/.f64 1/9 x)) 3)
✓	0.1b	(+.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 3)
✓	0.2b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
✓	25.6b	(+.f64 (*.f64 -12 x) 3)
✓	37.5b	(.f64 (.f64 x x) 9)
✓	36.9b	(.f64 x (+.f64 (.f64 x 9) -12))
✓	37.5b	(.f64 x (.f64 x 9))
✓	61.4b	(*.f64 x -12)
✓	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
✓	37.6b	(.f64 3 (.f64 x (*.f64 x 3)))
	25.6b	3

Compiler

Compiled 102 to 79 computations (22.5% saved)

regimes33.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
9.0ms	x
4.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
4.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))`
0.1b	1	`(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))`

Compiler

Compiled 182 to 136 computations (25.3% saved)

regimes29.0ms (0.5%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
9.0ms	x
4.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
4.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))`
0.1b	1	`(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)`
0.1b	1	`(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))`

Compiler

Compiled 155 to 115 computations (25.8% saved)

regimes8.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x (/.f64 1/9 x)) 3)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
2.2b	1	`x`

Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes57.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

55.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch31.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.003291284700073852	1.2649525030221314
16.0ms	-33.17855074685572	-1.7602725470806948e-5

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 290 to 235 computations (19% saved)

regimes66.0ms (1.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

64.0ms

Results

Error	Segments	Branch
1.8b	3	`x`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch121.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.003291284700073852	1.2649525030221314
71.0ms	-33.17855074685572	-1.7602725470806948e-5

Results

118.0ms

272×

body

256

valid

Compiler

Compiled 256 to 201 computations (21.5% saved)

regimes12.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	1.2649525030221314	12.539545551096927
16.0ms	-33.17855074685572	-1.7602725470806948e-5

Results

23.0ms

240×

body

256

valid

Compiler

Compiled 168 to 134 computations (20.2% saved)

regimes12.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.2b	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	1.2649525030221314	12.539545551096927
16.0ms	-33.17855074685572	-1.7602725470806948e-5

Results

23.0ms

240×

body

256

valid

Compiler

Compiled 168 to 134 computations (20.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -36.1b remaining (-140.7%)

Threshold costs -36.1b (-140.7%)

Counts

2 → 1

Calls

Call 1

Inputs
3
(*.f64 x -12)

Outputs
3

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
25.6b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
8×	`+-commutative`
8×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	248
1	67	248

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 3)
(+.f64 (/.f64 x (/.f64 1/9 x)) 3)
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 5134103575202365/9007199254740992) (+.f64 (.f64 -12 x) 3) (.f64 x (+.f64 (*.f64 x 9) -12))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 (.f64 x x) 9) (if (<=.f64 x 7746191359077253/36028797018963968) (+.f64 (.f64 -12 x) 3) (.f64 (*.f64 x x) 9)))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 (.f64 x x) 9) (if (<=.f64 x 7656119366529843/4503599627370496) 3 (.f64 (.f64 x x) 9)))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (.f64 x 9)) (if (<=.f64 x 7656119366529843/4503599627370496) 3 (.f64 x (.f64 x 9))))
3

Outputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 3)
(+.f64 3 (.f64 x (+.f64 -12 (.f64 x 9))))
(+.f64 (/.f64 x (/.f64 1/9 x)) 3)
(+.f64 3 (/.f64 x (/.f64 1/9 x)))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 5134103575202365/9007199254740992) (+.f64 (.f64 -12 x) 3) (.f64 x (+.f64 (*.f64 x 9) -12))))
(if (or (<=.f64 x -5224175567749775/9007199254740992) (not (<=.f64 x 5134103575202365/9007199254740992))) (.f64 x (+.f64 -12 (.f64 x 9))) (+.f64 3 (*.f64 x -12)))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 (.f64 x x) 9) (if (<=.f64 x 7746191359077253/36028797018963968) (+.f64 (.f64 -12 x) 3) (.f64 (*.f64 x x) 9)))
(if (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 7746191359077253/36028797018963968))) (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x -12)))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 (.f64 x x) 9) (if (<=.f64 x 7656119366529843/4503599627370496) 3 (.f64 (.f64 x x) 9)))
(if (or (<=.f64 x -5224175567749775/9007199254740992) (not (<=.f64 x 7656119366529843/4503599627370496))) (.f64 9 (.f64 x x)) 3)
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (.f64 x 9)) (if (<=.f64 x 7656119366529843/4503599627370496) 3 (.f64 x (.f64 x 9))))
(if (or (<=.f64 x -5224175567749775/9007199254740992) (not (<=.f64 x 7656119366529843/4503599627370496))) (.f64 x (.f64 x 9)) 3)
3

Compiler

Compiled 102 to 78 computations (23.5% saved)

soundness197.0ms (3.2%)

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

Compiler

Compiled 189 to 154 computations (18.5% saved)

end85.0ms (1.4%)

Compiler: Compiled 95 to 70 computations (26.3% saved)