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)

sample941.0ms (13.4%)

Results

930.0ms	8256×	body	256	valid
1.0ms	15×	body	256	infinite

Bogosity

preprocess91.0ms (1.3%)

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)

simplify94.0ms (1.3%)

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)
▶	0.1b	(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)

localize17.0ms (0.2%)

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)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite151.0ms (2.1%)

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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simplify175.0ms (2.5%)

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))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite92.0ms (1.3%)

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

Outputs
((#(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 (pow.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)) 2))))) (#(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 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 -4 (.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 x) 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 3 x) (.f64 3 x)) 16) (-.f64 (.f64 3 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 3 x) 3) -64) (+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (-.f64 16 (.f64 (.f64 3 x) -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 (*.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 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)) 2))))) (#(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 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 -4 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 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 3 x) (*.f64 3 x)) 16) (-.f64 (*.f64 3 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) -64) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 16 (*.f64 (*.f64 3 x) -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)))))))

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1322×	`distribute-lft-in`
1282×	`distribute-rgt-in`
1020×	`unswap-sqr`
742×	`fma-def`
644×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	1975
1	352	1575
2	1612	1405
3	7735	1405

Stop Event

1×	node limit

Counts

97 → 104

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

localize36.0ms (0.5%)

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)

series3.0ms (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	@	inf	(.f64 x (-.f64 (.f64 3 x) 4))
0.0ms	x	@	0	(.f64 x (-.f64 (.f64 3 x) 4))

rewrite134.0ms (1.9%)

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)))))

simplify179.0ms (2.5%)

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)

localize7.0ms (0.1%)

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)

series4.0ms (0.1%)

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	@	-inf	(fma.f64 x 9 -12)
0.0ms	x	@	0	(fma.f64 x 9 -12)

rewrite56.0ms (0.8%)

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)))))))

simplify57.0ms (0.8%)

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)

eval743.0ms (10.5%)

Compiler: Compiled 23452 to 18323 computations (21.9% saved)

prune234.0ms (3.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	896	16	912
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	900	16	916

Error

Counts

916 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	8.2b	(fma.f64 3 (.f64 x (/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (.f64 (.f64 3 x) -4))) (+.f64 (pow.f64 (.f64 3 x) 3) -64)))) 3)
	2.1b	(fma.f64 3 (.f64 x (.f64 3 x)) 3)
	11.1b	(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 2) -1) (/.f64 (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) -1) 3))
▶	0.2b	(/.f64 3 (/.f64 1 (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 1)))
	0.2b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
	21.9b	(+.f64 (*.f64 -12 x) 3)
▶	40.6b	(.f64 x (+.f64 (.f64 x 9) -12))
	40.9b	(.f64 x (.f64 x 9))
▶	40.9b	(.f64 9 (.f64 x x))
	0.2b	(.f64 3 (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 3 x) (.f64 3 x)) 16) (-.f64 (*.f64 3 x) -4)) 1))
	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
	21.9b	(.f64 3 (+.f64 (.f64 x -4) 1))
▶	40.6b	(.f64 3 (.f64 x (fma.f64 3 x -4)))
	41.0b	(.f64 3 (.f64 x (*.f64 3 x)))
▶	41.0b	(.f64 3 (.f64 3 (*.f64 x x)))
	22.2b	3

Compiler

Compiled 366 to 294 computations (19.7% saved)

localize68.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 42 computations (20.8% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite140.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`associate-*l/`
770×	`associate-/r*`
726×	`distribute-rgt-in`
678×	`distribute-lft-in`
510×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	275	70
2	3451	70

Stop Event

1×	node limit

Counts

4 → 223

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 3 (.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 (.f64 x (fma.f64 3 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 1 (.f64 3 (.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 1 (.f64 (.f64 x (fma.f64 3 x -4)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 -3 (neg.f64 (.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 (.f64 (.f64 x (fma.f64 3 x -4)) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 (neg.f64 (.f64 x (fma.f64 3 x -4))) -3))))) (#(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 (.f64 1 (.f64 3 (.f64 x (fma.f64 3 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 x (fma.f64 3 x -4)) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -3 (neg.f64 (.f64 x (fma.f64 3 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 x (fma.f64 3 x -4)) 3) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.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 .f64 3 (fma.f64 x (fma.f64 3 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (neg.f64 (-.f64 -1 (.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 3 (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) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))) (sqrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 3 x -4) 1)) (.f64 3 (sqrt.f64 (fma.f64 x (fma.f64 3 x -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))) (pow.f64 (cbrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))) 2) (cbrt.f64 (.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 3 (-.f64 -1 (.f64 x (fma.f64 3 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (.f64 x (fma.f64 3 x -4))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -3 (-.f64 -1 (.f64 x (fma.f64 3 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3 (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 3 (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 (/.f64 3 (cbrt.f64 (pow.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 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) -2))) (.f64 3 (cbrt.f64 (fma.f64 x (fma.f64 3 x -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 3 (sqrt.f64 (fma.f64 x (fma.f64 3 x -4) 1))) 1) (sqrt.f64 (fma.f64 x (fma.f64 3 x -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 3 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) -2))) 1) (cbrt.f64 (fma.f64 x (fma.f64 3 x -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 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simplify155.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1288×	`associate-+r+`
1180×	`associate-+l+`
878×	`+-commutative`
714×	`associate-r`
694×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	590	10447
1	1589	9821
2	6468	9813

Stop Event

1×	node limit

Counts

271 → 362

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))))
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(.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (.f64 x (fma.f64 3 x -4))))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) -1))) (fma.f64 x (fma.f64 3 x -4) -1))
(.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3)))) (+.f64 1 (-.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (.f64 x (fma.f64 3 x -4)))))
(.f64 (/.f64 (fma.f64 x (fma.f64 3 x -4) -1) (-.f64 (.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (pow.f64 (.f64 x (fma.f64 3 x -4)) 2)) 1)) (+.f64 1 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2)))
(.f64 (/.f64 (fma.f64 x (fma.f64 3 x -4) -1) (-.f64 (pow.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) 3) 1)) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (pow.f64 (.f64 x (fma.f64 3 x -4)) 2)) 1) (.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2) 1)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 3 x -4) 1))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2))) (-.f64 1 (*.f64 x (fma.f64 3 x -4))))
(.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (.f64 x (fma.f64 3 x -4))))))
(.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) -1/2) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) -1))) (sqrt.f64 (fma.f64 x (fma.f64 3 x -4) -1)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (.f64 x (fma.f64 3 x -4))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) -2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) -1))) (cbrt.f64 (fma.f64 x (fma.f64 3 x -4) -1)))
(.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (.f64 x (fma.f64 3 x -4)))) (-.f64 (.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3) (pow.f64 (.f64 x (fma.f64 3 x -4)) 3)) 1)) (-.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3) 1))
(.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (.f64 x (fma.f64 3 x -4)))) (+.f64 1 (pow.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3) (pow.f64 (.f64 x (fma.f64 3 x -4)) 3)) 1) (.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 3) 1)))
(pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) -1)
(pow.f64 (/.f64 1 (fma.f64 x (fma.f64 3 x -4) 1)) 1)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 3 x -4) 1))) 3)
(pow.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 x (fma.f64 3 x -4) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (fma.f64 3 x -4) 1)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (fma.f64 3 x -4) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (fma.f64 3 x -4) 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x (fma.f64 3 x -4)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (fma.f64 3 x -4))) -1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 x (fma.f64 3 x -4)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (fma.f64 3 x -4) 1))))
(+.f64 (*.f64 3 x) -4)
(+.f64 -4 (*.f64 3 x))
(*.f64 1 (fma.f64 3 x -4))
(*.f64 (fma.f64 3 x -4) 1)
(*.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 (pow.f64 (.f64 3 x) 2) -16) (/.f64 1 (fma.f64 3 x 4)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) (/.f64 1 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))))
(.f64 (/.f64 1 (fma.f64 3 x 4)) (+.f64 (pow.f64 (.f64 3 x) 2) -16))
(.f64 (/.f64 1 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))) (+.f64 (.f64 (pow.f64 x 3) 27) -64))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16) (+.f64 (pow.f64 (*.f64 3 x) 2) -16)) (fma.f64 3 x -4))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16) (+.f64 64 (.f64 (pow.f64 x 3) 27))) (+.f64 (pow.f64 (.f64 3 x) 2) (-.f64 16 (*.f64 x 12))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) (-.f64 (.f64 (pow.f64 (.f64 3 x) 2) (pow.f64 (.f64 3 x) 2)) (.f64 (+.f64 16 (.f64 x 12)) (+.f64 16 (.f64 x 12))))) (-.f64 (pow.f64 (.f64 3 x) 2) (+.f64 16 (.f64 x 12))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) (+.f64 (pow.f64 (pow.f64 (.f64 3 x) 2) 3) (pow.f64 (+.f64 16 (.f64 x 12)) 3))) (+.f64 (.f64 (pow.f64 (.f64 3 x) 2) (pow.f64 (.f64 3 x) 2)) (-.f64 (.f64 (+.f64 16 (.f64 x 12)) (+.f64 16 (.f64 x 12))) (.f64 (pow.f64 (.f64 3 x) 2) (+.f64 16 (*.f64 x 12))))))
(/.f64 1 (/.f64 1 (fma.f64 3 x -4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 3 x) 2) (-.f64 16 (.f64 (.f64 3 x) -4))) (+.f64 (.f64 (pow.f64 x 3) 27) -64)))
(/.f64 (+.f64 (pow.f64 (*.f64 3 x) 2) -16) (fma.f64 3 x 4))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) (+.f64 (.f64 x 12) (+.f64 (pow.f64 (*.f64 3 x) 2) 16)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) (+.f64 (pow.f64 (.f64 3 x) 2) (-.f64 16 (.f64 (.f64 3 x) -4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16)) (/.f64 (fma.f64 3 x 4) (sqrt.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64)) (/.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64)) (/.f64 (+.f64 (pow.f64 (.f64 3 x) 2) (-.f64 16 (.f64 (.f64 3 x) -4))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 27) -64))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16)) (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16))) (/.f64 (fma.f64 3 x 4) (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64))) (/.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64))) (/.f64 (+.f64 (pow.f64 (.f64 3 x) 2) (-.f64 16 (.f64 (.f64 3 x) -4))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 27) -64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 3 x) 2) (pow.f64 (.f64 3 x) 2)) 256) (.f64 (fma.f64 3 x 4) (+.f64 (pow.f64 (*.f64 3 x) 2) 16)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27)) 4096) (.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16)) (+.f64 64 (*.f64 (pow.f64 x 3) 27))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27)) 4096) (.f64 (+.f64 (pow.f64 (.f64 3 x) 2) (-.f64 16 (.f64 (.f64 3 x) -4))) (+.f64 64 (.f64 (pow.f64 x 3) 27))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 3 x) 2) 3) 4096) (.f64 (fma.f64 3 x 4) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 3 x) 2) (pow.f64 (.f64 3 x) 2)) 256) (.f64 (pow.f64 (*.f64 3 x) 2) 16))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 27) 3) 262144) (.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16)) (+.f64 (+.f64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27)) 4096) (.f64 (*.f64 (pow.f64 x 3) 27) 64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 27) 3) 262144) (.f64 (+.f64 (pow.f64 (.f64 3 x) 2) (-.f64 16 (.f64 (.f64 3 x) -4))) (+.f64 (+.f64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27)) 4096) (.f64 (.f64 (pow.f64 x 3) 27) 64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 3 x) 2) -16)) (neg.f64 (fma.f64 3 x 4)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64)) (neg.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (*.f64 3 x) 2) 16))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16) 1) (fma.f64 3 x 4))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) 1) (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) 1) (+.f64 (pow.f64 (.f64 3 x) 2) (-.f64 16 (.f64 (*.f64 3 x) -4))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16)) 1) (neg.f64 (fma.f64 3 x 4)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64)) 1) (neg.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16)) (sqrt.f64 (fma.f64 3 x -4))) (sqrt.f64 (fma.f64 3 x 4)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64)) (sqrt.f64 (fma.f64 3 x -4))) (sqrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -16)) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2)) (cbrt.f64 (fma.f64 3 x 4)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64)) (pow.f64 (cbrt.f64 (fma.f64 3 x -4)) 2)) (cbrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 3 x) 2) (pow.f64 (.f64 3 x) 2)) 256) (/.f64 1 (fma.f64 3 x 4))) (+.f64 (pow.f64 (*.f64 3 x) 2) 16))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 3 x) 2) 3) 4096) (/.f64 1 (fma.f64 3 x 4))) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 3 x) 2) (pow.f64 (.f64 3 x) 2)) 256) (.f64 (pow.f64 (*.f64 3 x) 2) 16)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27)) 4096) (/.f64 1 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16)))) (+.f64 64 (*.f64 (pow.f64 x 3) 27)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 27) 3) 262144) (/.f64 1 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16)))) (+.f64 (+.f64 (.f64 (.f64 (pow.f64 x 3) 27) (.f64 (pow.f64 x 3) 27)) 4096) (.f64 (*.f64 (pow.f64 x 3) 27) 64)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 3 x) 2) -16) 1) (fma.f64 3 x 4))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 3 x) 2) -16) (sqrt.f64 (fma.f64 3 x 4))) (sqrt.f64 (fma.f64 3 x 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 3 x) 2) -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 (.f64 (pow.f64 x 3) 27) -64) 1) (+.f64 (.f64 x 12) (+.f64 (pow.f64 (*.f64 3 x) 2) 16)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) (sqrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16)))) (sqrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (*.f64 3 x) 2) 16))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) (.f64 (cbrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))) (cbrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))))) (cbrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))))
(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 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 (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))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(*.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 (.f64 3 x) (fma.f64 3 x -4))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(*.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 (.f64 3 x) (fma.f64 3 x -4))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.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))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.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))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 3 x -4))
1
(+.f64 1 (*.f64 4 x))
(+.f64 1 (*.f64 x 4))
(fma.f64 x 4 1)
(+.f64 (.f64 13 (pow.f64 x 2)) (+.f64 1 (.f64 4 x)))
(fma.f64 13 (.f64 x x) (+.f64 1 (.f64 x 4)))
(fma.f64 (*.f64 x x) 13 (fma.f64 x 4 1))
(+.f64 (.f64 40 (pow.f64 x 3)) (+.f64 (.f64 13 (pow.f64 x 2)) (+.f64 1 (*.f64 4 x))))
(fma.f64 40 (pow.f64 x 3) (fma.f64 13 (.f64 x x) (+.f64 1 (.f64 x 4))))
(fma.f64 40 (pow.f64 x 3) (fma.f64 (*.f64 x x) 13 (fma.f64 x 4 1)))
(/.f64 1/3 (pow.f64 x 2))
(/.f64 1/3 (*.f64 x x))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (.f64 4/9 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 4/9 (pow.f64 x 3)))
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(/.f64 (fma.f64 (pow.f64 x 3) 27 -64) (fma.f64 x 12 (+.f64 (pow.f64 (*.f64 3 x) 2) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -64) (+.f64 (.f64 x (.f64 x 9)) (fma.f64 x 12 16)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 27) -64) (.f64 (cbrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))) (cbrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))))) (cbrt.f64 (+.f64 (.f64 x 12) (+.f64 (pow.f64 (.f64 3 x) 2) 16))))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -64) (fma.f64 x 12 (+.f64 (pow.f64 (*.f64 3 x) 2) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 27 -64) (+.f64 (.f64 x (.f64 x 9)) (fma.f64 x 12 16)))
(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)
(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)
(exp.f64 (*.f64 (log.f64 (fma.f64 3 x -4)) 1))
(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 1 (*.f64 3 x) -4)
(fma.f64 3 x -4)
(fma.f64 x 3 -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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 3 (*.f64 x x)))
✓	0.3b	(.f64 3 (.f64 x x))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`add-sqr-sqrt`
1240×	`*-un-lft-identity`
1152×	`add-cube-cbrt`
1142×	`add-cbrt-cube`
1130×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	143	26
2	1683	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1294×	`distribute-lft-in`
1286×	`distribute-rgt-in`
1178×	`associate-+r+`
1134×	`associate-+l+`
958×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	598
1	151	598
2	595	598
3	1840	598

Stop Event

1×	node limit

Counts

46 → 27

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (+.f64 (.f64 x 9) -12))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 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))

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	180	15
2	2248	15

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-*r/`
894×	`associate-*l/`
714×	`associate-+r+`
610×	`associate-+l+`
596×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	708
1	259	672
2	1003	650
3	4216	650

Stop Event

1×	node limit

Counts

36 → 37

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 (.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))

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 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.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 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.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 (.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 (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 (fma.f64 (pow.f64 x 3) 729 -1728) (/.f64 (fma.f64 x (.f64 x 81) (+.f64 144 (.f64 x 108))) x))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (+.f64 (/.f64 (fma.f64 x (*.f64 x 81) 144) x) 108))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (+.f64 108 (/.f64 (fma.f64 (*.f64 x x) 81 144) x)))
(/.f64 (.f64 (+.f64 (.f64 (*.f64 x x) 81) -144) x) (fma.f64 x 9 12))
(*.f64 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 x (/.f64 (fma.f64 (.f64 x x) 81 (-.f64 144 (.f64 x -108))) (+.f64 -1728 (*.f64 (pow.f64 x 3) 729))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (/.f64 (fma.f64 x (.f64 x 81) (+.f64 144 (.f64 x 108))) x))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (+.f64 (/.f64 (fma.f64 x (*.f64 x 81) 144) x) 108))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (+.f64 108 (/.f64 (fma.f64 (*.f64 x x) 81 144) 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)))
(*.f64 x (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 9 (.f64 x x)) 3) (.f64 (pow.f64 x 3) -1728)) (fma.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x)) (.f64 (.f64 -12 x) (-.f64 (.f64 -12 x) (.f64 9 (.f64 x x))))))
(/.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 (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) 729 -1728)) (fma.f64 x (.f64 x 144) (.f64 (.f64 9 (pow.f64 x 3)) (fma.f64 x 9 12))))
(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))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`add-sqr-sqrt`
1656×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1526×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	182	36
2	2061	36

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

860×	`distribute-rgt-out`
714×	`distribute-lft-in`
708×	`associate--r+`
704×	`distribute-rgt-in`
602×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	930
1	192	882
2	677	786
3	3527	786
4	5737	786

Stop Event

1×	node limit

Counts

54 → 46

Calls

Call 1

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

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

eval297.0ms (4.2%)

Compiler: Compiled 10852 to 8885 computations (18.1% saved)

prune104.0ms (1.5%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	511	7	518
Fresh	5	6	11
Picked	1	0	1
Done	0	4	4
Total	517	17	534

Error

Counts

534 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 3 (/.f64 1 (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 1)))
	2.1b	(/.f64 3 (/.f64 1 (+.f64 (.f64 x (.f64 3 x)) 1)))
	41.0b	(/.f64 3 (/.f64 1/3 (*.f64 x x)))
	40.6b	(+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4))
	40.6b	(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
▶	0.2b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
▶	21.9b	(+.f64 (*.f64 -12 x) 3)
✓	40.6b	(.f64 x (+.f64 (.f64 x 9) -12))
	40.9b	(.f64 x (.f64 x 9))
✓	40.9b	(.f64 9 (.f64 x x))
	0.2b	(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
▶	21.9b	(.f64 3 (+.f64 (.f64 x -4) 1))
▶	40.6b	(.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4)))
	41.0b	(.f64 3 (.f64 x (*.f64 x 3)))
✓	41.0b	(.f64 3 (.f64 3 (*.f64 x x)))
▶	61.5b	(*.f64 -12 x)
	22.2b	3

Compiler

Compiled 262 to 206 computations (21.4% saved)

localize14.0ms (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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	197	21
2	2394	21

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1414×	`fma-def`
1100×	`associate-r`
1008×	`associate-l`
900×	`log-prod`
604×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	637
1	177	585
2	562	481
3	3292	471
4	7283	471

Stop Event

1×	node limit

Counts

29 → 33

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 (.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)))))

Outputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 9 (.f64 x x)) (.f64 (.f64 3 x) -4))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 9 (.f64 x x)) (.f64 -4 (.f64 3 x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))))) 1)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(/.f64 (.f64 (.f64 3 x) (+.f64 (.f64 9 (.f64 x x)) -16)) (fma.f64 3 x 4))
(/.f64 (.f64 x 3) (/.f64 (fma.f64 3 x 4) (fma.f64 9 (.f64 x x) -16)))
(.f64 (/.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 x (fma.f64 x 3 4)) (fma.f64 x (.f64 x 27) -48))
(/.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 (/.f64 (.f64 x 3) (fma.f64 9 (*.f64 x x) (fma.f64 x 12 16))) (fma.f64 27 (pow.f64 x 3) -64))
(/.f64 (+.f64 -192 (.f64 (pow.f64 x 3) 81)) (/.f64 (fma.f64 x 12 (fma.f64 x (.f64 x 9) 16)) x))
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x 9 12) 16)) (fma.f64 (pow.f64 x 3) 81 -192))
(pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 1)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))) 2)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))) 3)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3) 1/3)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 2))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) (fma.f64 3 x -4)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (log.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 x (fma.f64 3 x -4)))) 1))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (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)

rewrite51.0ms (0.7%)

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)))))

simplify65.0ms (0.9%)

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 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 44

Calls

Call 1

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

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

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

Compiler

Compiled 28 to 21 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.8%)

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	21
1	197	21
2	2394	21

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1414×	`fma-def`
1100×	`associate-r`
1008×	`associate-l`
900×	`log-prod`
604×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	637
1	177	585
2	562	481
3	3292	471
4	7283	471

Stop Event

1×	node limit

Counts

29 → 33

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 (.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)))))

Outputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 9 (.f64 x x)) (.f64 (.f64 3 x) -4))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 9 (.f64 x x)) (.f64 -4 (.f64 3 x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))))) 1)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(/.f64 (.f64 (.f64 3 x) (+.f64 (.f64 9 (.f64 x x)) -16)) (fma.f64 3 x 4))
(/.f64 (.f64 x 3) (/.f64 (fma.f64 3 x 4) (fma.f64 9 (.f64 x x) -16)))
(.f64 (/.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 x (fma.f64 x 3 4)) (fma.f64 x (.f64 x 27) -48))
(/.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 (/.f64 (.f64 x 3) (fma.f64 9 (*.f64 x x) (fma.f64 x 12 16))) (fma.f64 27 (pow.f64 x 3) -64))
(/.f64 (+.f64 -192 (.f64 (pow.f64 x 3) 81)) (/.f64 (fma.f64 x 12 (fma.f64 x (.f64 x 9) 16)) x))
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x 9 12) 16)) (fma.f64 (pow.f64 x 3) 81 -192))
(pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 1)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))) 2)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))) 3)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3) 1/3)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(sqrt.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 2))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) (fma.f64 3 x -4)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(cbrt.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 3 x -4))) 3))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (log.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (.f64 (log.f64 (.f64 3 (*.f64 x (fma.f64 3 x -4)))) 1))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 x (fma.f64 3 x -4)))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 (.f64 x 9) -12))
(*.f64 x (fma.f64 x 9 -12))

eval450.0ms (6.4%)

Compiler: Compiled 13471 to 10670 computations (20.8% saved)

prune132.0ms (1.9%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	594	1	595
Fresh	2	6	8
Picked	1	0	1
Done	1	7	8
Total	598	14	612

Error

Counts

612 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.1b	(/.f64 3 (/.f64 1 (+.f64 (.f64 x (.f64 3 x)) 1)))
▶	41.0b	(/.f64 3 (/.f64 1/3 (*.f64 x x)))
	40.6b	(+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4))
▶	0.1b	(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
✓	0.2b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
✓	21.9b	(+.f64 (*.f64 -12 x) 3)
✓	40.6b	(.f64 x (+.f64 (.f64 x 9) -12))
▶	40.9b	(.f64 x (.f64 x 9))
✓	40.9b	(.f64 9 (.f64 x x))
✓	21.9b	(.f64 3 (+.f64 (.f64 x -4) 1))
▶	41.0b	(.f64 3 (.f64 x (*.f64 x 3)))
✓	41.0b	(.f64 3 (.f64 3 (*.f64 x x)))
✓	61.5b	(*.f64 -12 x)
	22.2b	3

Compiler

Compiled 170 to 133 computations (21.8% saved)

localize32.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(.f64 x (+.f64 (.f64 x 9) -12))

Compiler

Compiled 29 to 22 computations (24.1% saved)

localize4.0ms (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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

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)

series1.0ms (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 x (.f64 x 3))
0.0ms	x	@	inf	(.f64 3 (.f64 x (*.f64 x 3)))
0.0ms	x	@	-inf	(.f64 3 (.f64 x (*.f64 x 3)))
0.0ms	x	@	0	(.f64 x (.f64 x 3))

rewrite54.0ms (0.8%)

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))))))))

simplify64.0ms (0.9%)

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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/3 (*.f64 x x))
✓	0.7b	(/.f64 3 (/.f64 1/3 (*.f64 x x)))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`add-sqr-sqrt`
1634×	`*-un-lft-identity`
1542×	`add-cube-cbrt`
1532×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	179	26
2	2210	26

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(/.f64 3 (/.f64 1/3 (*.f64 x x)))
(/.f64 1/3 (*.f64 x x))

Outputs

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

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-/l/`
828×	`unswap-sqr`
502×	`associate-*r/`
468×	`*-commutative`
418×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1107
1	252	1107
2	1035	1107
3	4647	1107

Stop Event

1×	node limit

Counts

75 → 61

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 29 computations (25.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`associate-*r/`
916×	`*-commutative`
738×	`associate-*l/`
670×	`unswap-sqr`
582×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	220	53
2	2728	53

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs
(.f64 x (.f64 3 x))
(/.f64 3 (/.f64 1 (+.f64 (.f64 x (.f64 3 x)) 1)))
(/.f64 1 (+.f64 (.f64 x (.f64 3 x)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (*.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 3) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 9 (*.f64 x (pow.f64 x 3))) (fma.f64 x (*.f64 x 3) -1)) (+.f64 (/.f64 1 (fma.f64 x (*.f64 x 3) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (*.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))))

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

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

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1198×	`associate-/l*`
814×	`associate-/r*`
708×	`associate-*r/`
618×	`associate-+l+`
602×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	5728
1	1002	4908
2	3880	4904

Stop Event

1×	node limit

Counts

162 → 229

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

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

eval132.0ms (1.9%)

Compiler: Compiled 6330 to 4795 computations (24.2% saved)

prune52.0ms (0.7%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	367	1	368
Fresh	1	1	2
Picked	0	1	1
Done	1	10	11
Total	369	13	382

Error

Counts

382 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.1b	(/.f64 3 (/.f64 1 (+.f64 (.f64 x (.f64 3 x)) 1)))
✓	41.0b	(/.f64 3 (/.f64 1/3 (*.f64 x x)))
✓	0.1b	(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
✓	0.2b	(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
✓	21.9b	(+.f64 (*.f64 -12 x) 3)
	41.0b	(.f64 (.f64 3 x) (*.f64 3 x))
✓	40.6b	(.f64 x (+.f64 (.f64 x 9) -12))
✓	40.9b	(.f64 x (.f64 x 9))
✓	40.9b	(.f64 9 (.f64 x x))
✓	21.9b	(.f64 3 (+.f64 (.f64 x -4) 1))
✓	41.0b	(.f64 3 (.f64 3 (*.f64 x x)))
✓	61.5b	(*.f64 -12 x)
	22.2b	3

Compiler

Compiled 98 to 77 computations (21.4% saved)

regimes45.0ms (0.6%)

Counts

29 → 1

Calls

Call 1

Inputs
3
(*.f64 -12 x)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (*.f64 -12 x) 3)
(.f64 3 (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 x (*.f64 x 3)))
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 x (+.f64 (.f64 x 9) -12))
(.f64 (.f64 3 x) (*.f64 3 x))
(/.f64 3 (/.f64 1/3 (*.f64 x x)))
(.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4)))
(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
(/.f64 3 (/.f64 1 (+.f64 (.f64 x (.f64 3 x)) 1)))
(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4))
(/.f64 3 (/.f64 1 (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 1)))
(.f64 3 (.f64 x (fma.f64 3 x -4)))
(fma.f64 3 (.f64 x (.f64 3 x)) 3)
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(.f64 3 (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 3 x) (.f64 3 x)) 16) (-.f64 (*.f64 3 x) -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))
(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 (/.f64 (+.f64 (.f64 (.f64 x x) 9) (-.f64 16 (.f64 (.f64 3 x) -4))) (+.f64 (pow.f64 (.f64 3 x) 3) -64)))) 3)

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

Calls

4 calls:

13.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
13.0ms	x
6.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
5.0ms	(+.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 321 to 243 computations (24.3% saved)

regimes42.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

Inputs
3
(*.f64 -12 x)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (*.f64 -12 x) 3)
(.f64 3 (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 x (*.f64 x 3)))
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 x (+.f64 (.f64 x 9) -12))
(.f64 (.f64 3 x) (*.f64 3 x))
(/.f64 3 (/.f64 1/3 (*.f64 x x)))
(.f64 3 (.f64 x (-.f64 (*.f64 3 x) 4)))
(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(+.f64 (.f64 3 (.f64 x (-.f64 (*.f64 x 3) 4))) 3)
(/.f64 3 (/.f64 1 (+.f64 (.f64 x (.f64 3 x)) 1)))
(.f64 3 (+.f64 (-.f64 (.f64 3 (.f64 x x)) (.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(+.f64 (.f64 (.f64 3 x) (.f64 3 x)) (.f64 (*.f64 3 x) -4))
(/.f64 3 (/.f64 1 (+.f64 (.f64 x (-.f64 (.f64 x 3) 4)) 1)))
(.f64 3 (.f64 x (fma.f64 3 x -4)))
(fma.f64 3 (.f64 x (.f64 3 x)) 3)
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(.f64 3 (fma.f64 x (/.f64 (-.f64 (.f64 (.f64 3 x) (.f64 3 x)) 16) (-.f64 (*.f64 3 x) -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))

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

Calls

4 calls:

12.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
12.0ms	x
6.0ms	(.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 277 to 209 computations (24.5% saved)

regimes25.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 89 to 62 computations (30.3% saved)

bsearch80.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.8013318426732197e-9	6.594185805666173
61.0ms	-23.66199896213889	-0.002910726311162032

Results

72.0ms

272×

body

256

valid

Compiler

Compiled 340 to 277 computations (18.5% saved)

regimes25.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 80 to 56 computations (30% saved)

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.8013318426732197e-9	6.594185805666173
15.0ms	-23.66199896213889	-0.002910726311162032

Results

27.0ms

272×

body

256

valid

Compiler

Compiled 324 to 269 computations (17% saved)

regimes18.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

Outputs
(.f64 x (.f64 x 9))
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 x (.f64 x 9))

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 50 to 35 computations (30% saved)

bsearch46.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	2.8013318426732197e-9	6.594185805666173
13.0ms	-23.66199896213889	-0.002910726311162032

Results

43.0ms

272×

body

256

valid

Compiler

Compiled 290 to 235 computations (19% saved)

regimes16.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 43 to 29 computations (32.6% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.8013318426732197e-9	6.594185805666173
14.0ms	-23.66199896213889	-0.002910726311162032

Results

25.0ms

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 -12 x)
(.f64 9 (.f64 x x))
(.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
2.1b	3	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.8013318426732197e-9	6.594185805666173
13.0ms	-23.66199896213889	-0.002910726311162032

Results

27.0ms

272×

body

256

valid

Compiler

Compiled 188 to 150 computations (20.2% saved)

regimes11.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch94.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	2.8013318426732197e-9	6.594185805666173
39.0ms	-23.66199896213889	-0.002910726311162032

Results

90.0ms

272×

body

256

valid

Compiler

Compiled 188 to 150 computations (20.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total -39.5b remaining (-177.6%)

Threshold costs -39.5b (-177.6%)

Counts

2 → 1

Calls

Call 1

Inputs
3
(*.f64 -12 x)

Outputs
3

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
22.2b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
10×	`+-commutative`
10×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	373
1	77	373

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(if (<=.f64 x -5404319552844595/9007199254740992) (+.f64 (.f64 x (.f64 x 9)) (.f64 x -12)) (if (<=.f64 x 5224175567749775/9007199254740992) (.f64 3 (+.f64 (.f64 x -4) 1)) (.f64 x (+.f64 (*.f64 x 9) -12))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 5224175567749775/9007199254740992) (.f64 3 (+.f64 (.f64 x -4) 1)) (.f64 x (+.f64 (.f64 x 9) -12))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 x (.f64 x 9)) (if (<=.f64 x 1) (.f64 3 (+.f64 (.f64 x -4) 1)) (.f64 x (.f64 x 9))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 x (.f64 x 9)) (if (<=.f64 x 1) (+.f64 (.f64 -12 x) 3) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (.f64 x 9)) (if (<=.f64 x 3512807709348987/18014398509481984) 3 (.f64 x (.f64 x 9))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 9 (.f64 x x)) (if (<=.f64 x 3512807709348987/18014398509481984) 3 (.f64 9 (.f64 x x))))
3

Outputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(+.f64 3 (.f64 x (+.f64 -12 (.f64 x 9))))
(if (<=.f64 x -5404319552844595/9007199254740992) (+.f64 (.f64 x (.f64 x 9)) (.f64 x -12)) (if (<=.f64 x 5224175567749775/9007199254740992) (.f64 3 (+.f64 (.f64 x -4) 1)) (.f64 x (+.f64 (*.f64 x 9) -12))))
(if (<=.f64 x -5404319552844595/9007199254740992) (+.f64 (.f64 x (.f64 x 9)) (.f64 x -12)) (if (<=.f64 x 5224175567749775/9007199254740992) (.f64 3 (+.f64 (.f64 x -4) 1)) (.f64 x (+.f64 -12 (*.f64 x 9)))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 5224175567749775/9007199254740992) (.f64 3 (+.f64 (.f64 x -4) 1)) (.f64 x (+.f64 (.f64 x 9) -12))))
(if (or (<=.f64 x -5404319552844595/9007199254740992) (not (<=.f64 x 5224175567749775/9007199254740992))) (.f64 x (+.f64 -12 (.f64 x 9))) (.f64 3 (+.f64 (.f64 x -4) 1)))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 x (.f64 x 9)) (if (<=.f64 x 1) (.f64 3 (+.f64 (.f64 x -4) 1)) (.f64 x (.f64 x 9))))
(if (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 1))) (.f64 x (.f64 x 9)) (.f64 3 (+.f64 (.f64 x -4) 1)))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 x (.f64 x 9)) (if (<=.f64 x 1) (+.f64 (.f64 -12 x) 3) (.f64 x (*.f64 x 9))))
(if (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 1))) (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x -12)))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (.f64 x 9)) (if (<=.f64 x 3512807709348987/18014398509481984) 3 (.f64 x (.f64 x 9))))
(if (or (<=.f64 x -5404319552844595/9007199254740992) (not (<=.f64 x 3512807709348987/18014398509481984))) (.f64 x (.f64 x 9)) 3)
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 9 (.f64 x x)) (if (<=.f64 x 3512807709348987/18014398509481984) 3 (.f64 9 (.f64 x x))))
(if (or (<=.f64 x -5404319552844595/9007199254740992) (not (<=.f64 x 3512807709348987/18014398509481984))) (.f64 9 (.f64 x x)) 3)
3

Compiler

Compiled 150 to 115 computations (23.3% saved)

soundness174.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 186 to 150 computations (19.4% saved)

end114.0ms (1.6%)

Compiler: Compiled 142 to 107 computations (24.6% saved)