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)

sample883.0ms (18.3%)

Results

869.0ms	8256×	body	256	valid
2.0ms	21×	body	256	infinite

Bogosity

preprocess74.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

954×	`fma-def_binary64`
722×	`fma-neg_binary64`
150×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
76×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	33	14
2	76	12
3	186	12
4	380	9
5	545	9
6	872	9
7	1533	9
8	2421	9
9	2802	9
10	2913	9
11	3039	9
12	3045	9
13	3045	9
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 (fma.f64 (.f64 3 x) x (neg.f64 (*.f64 x 4))) 3) 3)
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(fma.f64 3 (*.f64 x (fma.f64 3 x -4)) 3)
(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 15 to 12 computations (20% saved)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-def_binary64`
722×	`fma-neg_binary64`
150×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
76×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	33	14
2	76	12
3	186	12
4	380	9
5	545	9
6	872	9
7	1533	9
8	2421	9
9	2802	9
10	2913	9
11	3039	9
12	3045	9
13	3045	9

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.0b

Counts

6 → 3

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)
▶	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Compiler

Compiled 33 to 26 computations (21.2% saved)

localize18.0ms (0.4%)

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))
✓	0.1b	(.f64 (.f64 x 3) x)

Compiler

Compiled 49 to 35 computations (28.6% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`fma-def_binary64`
571×	`log-prod_binary64`
400×	`fma-neg_binary64`
343×	`pow-prod-down_binary64`
303×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	256	31
2	3359	27

Stop Event

1×	node limit

Counts

3 → 261

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 0 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))))) (#(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 (pow.f64 (.f64 x (.f64 x 3)) 2) 1/2)))) (#(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 (sqrt.f64 (.f64 x (.f64 x 3))) 2)))) (#(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 (exp.f64 x) (.f64 x 3)))))) (#(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 log1p.f64 (expm1.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 +.f64 3 (.f64 3 (.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) 2)) (fma.f64 x (fma.f64 x 3 -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3) 27) (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) (-.f64 9 (.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) 9) (fma.f64 3 (.f64 x (fma.f64 x 3 -4)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3)) 3) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1) 3) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1)) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 x (fma.f64 x 3 -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (fma.f64 x 3 -4)) 3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 2) (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2)) (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 3)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3)) (.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3)) (.f64 (.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3)) (fma.f64 x -4 (fma.f64 x -4 (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x 3 -4)) (fma.f64 x -4 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x 3 -4)) (fma.f64 (.f64 x -4) 1 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x 3 -4)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 4)) 2) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x 3 -4)) (.f64 (fma.f64 x -4 (.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x 3 -4)) (+.f64 (fma.f64 x -4 (.f64 x 4)) (fma.f64 x -4 (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -4 (.f64 x 4)) (.f64 x (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -4) (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3 -4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3 -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x 3 -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 x 3 -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 x 3 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2) (cbrt.f64 (.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (sqrt.f64 (.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (/.f64 1 (fma.f64 (.f64 x 4) (.f64 x (fma.f64 x 3 4)) (pow.f64 (.f64 x (.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (fma.f64 x 3 4)) (.f64 x (fma.f64 x 3 -4))) (/.f64 1 (.f64 x (fma.f64 x 3 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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Outputs

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egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 x 4) (fma.f64 x -4 (*.f64 x 4)))))))))

simplify116.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-neg_binary64`
356×	`distribute-rgt-neg-in_binary64`
278×	`log-prod_binary64`
253×	`div-sub_binary64`
226×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	3574
1	1132	3430
2	3857	3301

Stop Event

1×	node limit

Counts

297 → 320

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 0 (.f64 x (.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(pow.f64 (.f64 x (.f64 x 3)) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 1/2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(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 (exp.f64 x) (*.f64 x 3)))
(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))))
(log1p.f64 (expm1.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))
(+.f64 3 (.f64 3 (.f64 x (fma.f64 x 3 -4))))
(+.f64 0 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))
(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(+.f64 (.f64 (.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1) 3)
(+.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) 2)) (fma.f64 x (fma.f64 x 3 -4) 1))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3) 27) (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) (-.f64 9 (.f64 (.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) 9) (fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) -3))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3)) 3) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1) 3) (fma.f64 x (fma.f64 x 3 -4) -1))
(/.f64 (.f64 3 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))
(/.f64 (.f64 3 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1)) (fma.f64 x (fma.f64 x 3 -4) -1))
(pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 1)
(pow.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 2)
(sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)))
(log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))
(cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))
(log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))
(exp.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))
(exp.f64 (.f64 (log.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 1))
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)
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(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (fma.f64 (.f64 x -4) 1 (.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 4)) 2) (*.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (fma.f64 x -4 (.f64 x 4)) 1))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (+.f64 (fma.f64 x -4 (.f64 x 4)) (fma.f64 x -4 (.f64 x 4))))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 1) (fma.f64 x -4 (.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 1) (fma.f64 (.f64 x -4) 1 (*.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 4)) 2) (.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 1) (.f64 (fma.f64 x -4 (*.f64 x 4)) 1))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 1) (+.f64 (fma.f64 x -4 (.f64 x 4)) (fma.f64 x -4 (*.f64 x 4))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (.f64 x 3))) (*.f64 x -4))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (.f64 x 3))) (.f64 (.f64 x -4) 1))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (.f64 x 3))) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (.f64 x 3))) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (.f64 x 4)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 3)) (*.f64 x -4))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 3)) (.f64 (.f64 x -4) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 3)) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 3)) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (.f64 x 4)))))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) -1)
(fma.f64 (sqrt.f64 (.f64 x 4)) (neg.f64 (sqrt.f64 (.f64 x 4))) (.f64 x (.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x) (.f64 x -4))
(fma.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x) (.f64 (*.f64 x -4) 1))
(fma.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x) (fma.f64 x -4 (fma.f64 x -4 (.f64 x 4))))
(fma.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (*.f64 x 4)))))
(fma.f64 -4 x (.f64 x (.f64 x 3)))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (/.f64 1 (fma.f64 (.f64 x 4) (.f64 x (fma.f64 x 3 4)) (pow.f64 (.f64 x (.f64 x 3)) 2))) (fma.f64 x -4 (.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (/.f64 1 (fma.f64 (.f64 x 4) (.f64 x (fma.f64 x 3 4)) (pow.f64 (.f64 x (.f64 x 3)) 2))) (fma.f64 (.f64 x -4) 1 (*.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (/.f64 1 (fma.f64 (.f64 x 4) (.f64 x (fma.f64 x 3 4)) (pow.f64 (.f64 x (.f64 x 3)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 4)) 2) (.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (/.f64 1 (fma.f64 (.f64 x 4) (.f64 x (fma.f64 x 3 4)) (pow.f64 (.f64 x (.f64 x 3)) 2))) (.f64 (fma.f64 x -4 (*.f64 x 4)) 1))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) (.f64 (pow.f64 x 3) 64)) (/.f64 1 (fma.f64 (.f64 x 4) (.f64 x (fma.f64 x 3 4)) (pow.f64 (.f64 x (.f64 x 3)) 2))) (+.f64 (fma.f64 x -4 (.f64 x 4)) (fma.f64 x -4 (*.f64 x 4))))
(fma.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3 -4))))) -1)
(fma.f64 (.f64 (.f64 x (fma.f64 x 3 4)) (.f64 x (fma.f64 x 3 -4))) (/.f64 1 (.f64 x (fma.f64 x 3 4))) (fma.f64 x -4 (*.f64 x 4)))
(fma.f64 (.f64 (.f64 x (fma.f64 x 3 4)) (.f64 x (fma.f64 x 3 -4))) (/.f64 1 (.f64 x (fma.f64 x 3 4))) (fma.f64 (.f64 x -4) 1 (.f64 x 4)))
(fma.f64 (.f64 (.f64 x (fma.f64 x 3 4)) (.f64 x (fma.f64 x 3 -4))) (/.f64 1 (.f64 x (fma.f64 x 3 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 4)) 2) (*.f64 x 4)))
(fma.f64 (.f64 (.f64 x (fma.f64 x 3 4)) (.f64 x (fma.f64 x 3 -4))) (/.f64 1 (.f64 x (fma.f64 x 3 4))) (.f64 (fma.f64 x -4 (.f64 x 4)) 1))
(fma.f64 (.f64 (.f64 x (fma.f64 x 3 4)) (.f64 x (fma.f64 x 3 -4))) (/.f64 1 (.f64 x (fma.f64 x 3 4))) (+.f64 (fma.f64 x -4 (.f64 x 4)) (fma.f64 x -4 (.f64 x 4))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1) (/.f64 1 (fma.f64 x (fma.f64 x 3 -4) -1)) -1)
(fma.f64 (neg.f64 x) 4 (.f64 x (.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -4 (.f64 x 4))) 2) (cbrt.f64 (fma.f64 x -4 (.f64 x 4))) (*.f64 x (fma.f64 x 3 -4)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -4)) 2) (cbrt.f64 (.f64 x -4)) (.f64 x (.f64 x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x -4 (.f64 x 4))) (sqrt.f64 (fma.f64 x -4 (.f64 x 4))) (*.f64 x (fma.f64 x 3 -4)))
(fma.f64 (sqrt.f64 (.f64 x -4)) (sqrt.f64 (.f64 x -4)) (.f64 x (.f64 x 3)))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x 4))) (sqrt.f64 (.f64 x 4)) (.f64 x (.f64 x 3)))
(fma.f64 -1 (.f64 x 4) (.f64 x (*.f64 x 3)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (fma.f64 x -4 (*.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (fma.f64 (.f64 x -4) 1 (.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 4)) 2) (*.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (.f64 (fma.f64 x -4 (.f64 x 4)) 1))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (+.f64 (fma.f64 x -4 (.f64 x 4)) (fma.f64 x -4 (.f64 x 4))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x 4)) 2)) (cbrt.f64 (.f64 x 4)) (.f64 x (.f64 x 3)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)) (.f64 x -4))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)) (.f64 (*.f64 x -4) 1))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)) (fma.f64 x -4 (fma.f64 x -4 (.f64 x 4))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (*.f64 x 4)))))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (.f64 x -4))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (.f64 (*.f64 x -4) 1))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (fma.f64 x -4 (fma.f64 x -4 (.f64 x 4))))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (*.f64 x 4)))))
(fma.f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x -4))
(fma.f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 x -4) 1))
(fma.f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))
(fma.f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (.f64 x 4)))))
(fma.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -4))
(fma.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 x -4) 1))
(fma.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))
(fma.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (.f64 x 4)))))

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 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 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)))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(fma.f64 x -12 (.f64 9 (.f64 x x)))
(+.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 -12 (fma.f64 9 (*.f64 x x) 3))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 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)))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(fma.f64 x -12 (.f64 9 (.f64 x x)))
(+.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 -12 (fma.f64 9 (*.f64 x x) 3))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x 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 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 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 0 (.f64 x (.f64 x 3)))
(.f64 3 (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(.f64 3 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(.f64 3 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(.f64 3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 2) 1/2)
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(.f64 3 (.f64 x x))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(.f64 3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 3)) 3) 1/3)
(.f64 3 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(.f64 3 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(.f64 3 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(.f64 3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(.f64 3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(.f64 3 (.f64 x x))
(+.f64 3 (.f64 3 (.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(+.f64 0 (*.f64 3 (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(+.f64 (.f64 (.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(+.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) 2)) (fma.f64 x (fma.f64 x 3 -4) 1))
(+.f64 (fma.f64 x (fma.f64 x 3 -4) 1) (*.f64 2 (log.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)))))
(fma.f64 2 (fma.f64 x (fma.f64 3 x -4) 1) (fma.f64 x (fma.f64 3 x -4) 1))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
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(fma.f64 (.f64 (.f64 x (fma.f64 x 3 4)) (.f64 x (fma.f64 x 3 -4))) (/.f64 1 (.f64 x (fma.f64 x 3 4))) (+.f64 (fma.f64 x -4 (.f64 x 4)) (fma.f64 x -4 (.f64 x 4))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1) (/.f64 1 (fma.f64 x (fma.f64 x 3 -4) -1)) -1)
(fma.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2) -1) (/.f64 1 (fma.f64 x (fma.f64 3 x -4) -1)) -1)
(+.f64 -1 (/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2) -1) (fma.f64 x (fma.f64 3 x -4) -1)))
(fma.f64 (neg.f64 x) 4 (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -4 (.f64 x 4))) 2) (cbrt.f64 (fma.f64 x -4 (.f64 x 4))) (*.f64 x (fma.f64 x 3 -4)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -4)) 2) (cbrt.f64 (.f64 x -4)) (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (sqrt.f64 (fma.f64 x -4 (.f64 x 4))) (sqrt.f64 (fma.f64 x -4 (.f64 x 4))) (*.f64 x (fma.f64 x 3 -4)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (sqrt.f64 (.f64 x -4)) (sqrt.f64 (.f64 x -4)) (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x 4))) (sqrt.f64 (.f64 x 4)) (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 -1 (.f64 x 4) (.f64 x (*.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (fma.f64 x -4 (*.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (fma.f64 x -4 (*.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (*.f64 x 0))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) 0)
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (fma.f64 (.f64 x -4) 1 (.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (fma.f64 x -4 (*.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (*.f64 x 0))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) 0)
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 4)) 2) (*.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (fma.f64 x -4 (*.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (*.f64 x 0))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) 0)
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (.f64 (fma.f64 x -4 (.f64 x 4)) 1))
(fma.f64 (+.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (fma.f64 x -4 (*.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (*.f64 x 0))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) 0)
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x 4))) (+.f64 (fma.f64 x -4 (.f64 x 4)) (fma.f64 x -4 (.f64 x 4))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (fma.f64 x -4 (*.f64 x 4)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) (*.f64 x 0))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 3 (.f64 x x)))) (-.f64 (sqrt.f64 (.f64 3 (.f64 x x))) (sqrt.f64 (.f64 x 4))) 0)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x 4)) 2)) (cbrt.f64 (.f64 x 4)) (.f64 x (.f64 x 3)))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)) (.f64 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)) (.f64 (*.f64 x -4) 1))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)) (fma.f64 x -4 (fma.f64 x -4 (.f64 x 4))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (*.f64 x 4)))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (.f64 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (.f64 (*.f64 x -4) 1))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (fma.f64 x -4 (fma.f64 x -4 (.f64 x 4))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (*.f64 x 4)))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 x -4) 1))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (.f64 x 4)))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -4))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 x -4) 1))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x -4 (fma.f64 x -4 (*.f64 x 4))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))
(fma.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 x 4) (fma.f64 x -4 (.f64 x 4)))))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 x (fma.f64 3 x -4))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series3.0ms (0.1%)

Counts

3 → 27

Calls

9 calls:

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

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`pow1_binary64`
797×	`add-log-exp_binary64`
797×	`log1p-expm1-u_binary64`
797×	`expm1-log1p-u_binary64`
784×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	176	25
2	2119	25

Stop Event

1×	node limit

Counts

3 → 72

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

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

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-neg_binary64`
534×	`fma-def_binary64`
527×	`unswap-sqr_binary64`
446×	`distribute-rgt-in_binary64`
418×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1119
1	407	1014
2	1543	929
3	7935	925

Stop Event

1×	node limit

Counts

99 → 114

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

localize7.0ms (0.2%)

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)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`pow1_binary64`
568×	`add-log-exp_binary64`
568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
559×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	142	14
2	1495	14

Stop Event

1×	node limit

Counts

2 → 42

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

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

676×	`times-frac_binary64`
390×	`fma-neg_binary64`
341×	`fma-def_binary64`
333×	`unswap-sqr_binary64`
282×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	660
1	257	519
2	1040	511
3	4898	511

Stop Event

1×	node limit

Counts

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

eval215.0ms (4.5%)

Compiler: Compiled 9420 to 7323 computations (22.3% saved)

prune79.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	496	10	506
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	498	11	509

Error

Counts

509 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12)) 3)
▶	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
▶	1.7b	(fma.f64 3 (.f64 x (.f64 3 x)) 3)
▶	22.2b	(+.f64 (*.f64 -12 x) 3)
	40.0b	(.f64 x (+.f64 (.f64 x 9) -12))
	40.3b	(.f64 x (.f64 x 9))
▶	40.3b	(.f64 9 (.f64 x x))
	0.2b	(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))
▶	0.5b	(.f64 3 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3) (.f64 x 4)) 1))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
	22.5b	3

Compiler

Compiled 204 to 159 computations (22.1% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)

Compiler

Compiled 21 to 16 computations (23.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`pow1_binary64`
764×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
752×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	174	9
2	2006	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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 (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 (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 (+.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 /.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 pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(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 pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(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 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 log1p.f64 (expm1.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)))))))

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

735×	`fma-neg_binary64`
366×	`associate-l_binary64`
329×	`*-commutative_binary64`
309×	`associate-r_binary64`
260×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	470
1	150	339
2	547	329
3	3490	329
4	7532	329

Stop Event

1×	node limit

Counts

33 → 40

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

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)
(+.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 (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 (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 (+.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) (fma.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12)) (-.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 (.f64 x x) (.f64 (fma.f64 x 9 -12) (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 9 (.f64 (*.f64 x (fma.f64 x 9 -12)) (fma.f64 x (fma.f64 x 9 -12) -3))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 9 (.f64 x (*.f64 (fma.f64 x 9 -12) (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 (fma.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12)) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x 9 -12) (fma.f64 x 9 -12)) -9) (fma.f64 x (fma.f64 x 9 -12) -3))
(/.f64 (fma.f64 (fma.f64 x 9 -12) (.f64 (.f64 x x) (fma.f64 x 9 -12)) -9) (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 (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)
(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 (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)
(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)
(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)
(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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

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))

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`pow1_binary64`
416×	`add-sqr-sqrt_binary64`
408×	`*-un-lft-identity_binary64`
400×	`add-log-exp_binary64`
400×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	103	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

489×	`associate-l_binary64`
426×	`associate-r_binary64`
291×	`fma-neg_binary64`
232×	`unswap-sqr_binary64`
196×	`swap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	105	206
2	346	191
3	3248	191
4	5070	191

Stop Event

1×	node limit

Counts

26 → 18

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 9

Calls

3 calls:

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

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`pow1_binary64`
598×	`add-log-exp_binary64`
598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
589×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	132	5
2	1568	5

Stop Event

1×	node limit

Counts

1 → 32

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

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

711×	`distribute-rgt-in_binary64`
680×	`distribute-lft-in_binary64`
495×	`fma-neg_binary64`
369×	`associate-l_binary64`
336×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	443
1	195	418
2	648	344
3	3733	339

Stop Event

1×	node limit

Counts

41 → 41

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`
497×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	122	17
2	1400	17

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
626×	`distribute-rgt-in_binary64`
591×	`distribute-lft-in_binary64`
326×	`unswap-sqr_binary64`
324×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	515
1	192	459
2	715	452
3	2873	446

Stop Event

1×	node limit

Counts

56 → 49

Calls

Call 1

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

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

localize56.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 3 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3) (.f64 x 4)) 1))
✓	0.1b	(.f64 x (.f64 x 3))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	20.3b	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 72 to 54 computations (25% saved)

series9.0ms (0.2%)

Counts

4 → 18

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt.f64 (.f64 x (.f64 x 3)))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
1.0ms	x	@	inf	(.f64 3 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3) (.f64 x 4)) 1))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)

rewrite89.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`fma-def_binary64`
634×	`log-prod_binary64`
420×	`fma-neg_binary64`
320×	`pow2_binary64`
217×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	296	37
2	3659	35

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))))) (#(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 .f64 x (.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x 3)) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 3)) (.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) 1) (cbrt.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 x)) (cbrt.f64 (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (sqrt.f64 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))) (#(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 (.f64 (pow.f64 (.f64 x x) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 +.f64 0 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))))) (#(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 (cbrt.f64 (.f64 x (.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))) (#(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 (.f64 (pow.f64 (.f64 x x) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 +.f64 3 (.f64 3 (.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) 2)) (fma.f64 x (fma.f64 x 3 -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3) 27) (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) (-.f64 9 (.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) 9) (fma.f64 3 (.f64 x (fma.f64 x 3 -4)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3)) 3) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1) 3) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1)) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 x (fma.f64 x 3 -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (fma.f64 x 3 -4)) 3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 2) (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2)) (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) 3)))))

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-def_binary64`
582×	`log-prod_binary64`
412×	`unswap-sqr_binary64`
396×	`distribute-rgt-in_binary64`
383×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	1491
1	541	1417
2	1499	1402
3	6326	1402

Stop Event

1×	node limit

Counts

134 → 136

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 -12 x)
(+.f64 3 (*.f64 -12 x))
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(+.f64 0 (cbrt.f64 (.f64 x (.f64 x 3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3))))) 1)
(.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) 1)
(.f64 1 (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x 3)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 3)))))
(.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (*.f64 x 3))))
(pow.f64 (.f64 x (.f64 x 3)) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 3)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2))
(log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 3)))) 1))
(+.f64 0 (.f64 x (.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(.f64 (.f64 x (*.f64 x 3)) 1)
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) 2))
(.f64 1 (.f64 x (*.f64 x 3)))
(.f64 (.f64 x x) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x 3)) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 3)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)))
(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) 1) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x 3)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (sqrt.f64 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 9))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 27))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(log1p.f64 (expm1.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))
(+.f64 0 (.f64 x (.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(pow.f64 (.f64 x (.f64 x 3)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 2) 9) 1/2)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) 3/2)
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 9))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 27))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(log1p.f64 (expm1.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))
(+.f64 3 (.f64 3 (.f64 x (fma.f64 x 3 -4))))
(+.f64 0 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))
(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(+.f64 (.f64 (.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1) 3)
(+.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) 2)) (fma.f64 x (fma.f64 x 3 -4) 1))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3) 27) (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) (-.f64 9 (.f64 (.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) 9) (fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) -3))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3)) 3) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1) 3) (fma.f64 x (fma.f64 x 3 -4) -1))
(/.f64 (.f64 3 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))
(/.f64 (.f64 3 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1)) (fma.f64 x (fma.f64 x 3 -4) -1))
(pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 1)
(pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 2))
(log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))
(cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))
(log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))
(exp.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))
(exp.f64 (.f64 (log.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 1))
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)
(fma.f64 1 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2) (.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)
(fma.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 1 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 2) (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)
(fma.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)
(fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)

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 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(*.f64 -12 x)
(*.f64 x -12)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(*.f64 -12 x)
(*.f64 x -12)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 0 (cbrt.f64 (.f64 x (.f64 x 3))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 3 (.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 3 (.f64 x x)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 3 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3))))) 1)
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) 1)
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 1 (cbrt.f64 (.f64 x (*.f64 x 3))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x 3)))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 3 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 3)))) 2))
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 3)))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 3 x)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 2)
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (*.f64 x 3))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(pow.f64 (.f64 x (.f64 x 3)) 1/3)
(cbrt.f64 (.f64 3 (.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 1)
(cbrt.f64 (.f64 3 (.f64 x x)))
(pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) 1/2)
(cbrt.f64 (.f64 3 (.f64 x x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 3)
(cbrt.f64 (.f64 3 (.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2))
(cbrt.f64 (.f64 3 (.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3))))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (.f64 3 (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1/3))
(cbrt.f64 (.f64 3 (.f64 x x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 x 3)))) 1))
(cbrt.f64 (.f64 3 (.f64 x x)))
(+.f64 0 (.f64 x (.f64 x 3)))
(.f64 3 (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(.f64 3 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(.f64 3 (.f64 x x))
(.f64 (.f64 x (*.f64 x 3)) 1)
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) 2))
(.f64 3 (.f64 x x))
(.f64 1 (.f64 x (*.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) 3)
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x 3)) (pow.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) 2)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 3 x))) (pow.f64 (cbrt.f64 (.f64 3 (*.f64 x x))) 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 3 x)) (pow.f64 (cbrt.f64 (.f64 3 (*.f64 x x))) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
(.f64 3 (.f64 x x))
(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 2) (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 2))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))
(.f64 3 (.f64 x x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
(.f64 3 (.f64 x x))
(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) 1) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x 3)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 3 x))) (pow.f64 (cbrt.f64 (.f64 3 (*.f64 x x))) 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 3 x)) (pow.f64 (cbrt.f64 (.f64 3 (*.f64 x x))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(.f64 3 (.f64 x x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) (cbrt.f64 (.f64 x (sqrt.f64 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 2) (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 2))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 9))
(sqrt.f64 (*.f64 (pow.f64 x 4) 9))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(.f64 3 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(.f64 3 (.f64 x x))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 27))
(cbrt.f64 (*.f64 (pow.f64 x 6) 27))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(.f64 3 (.f64 x x))
(+.f64 0 (.f64 x (.f64 x 3)))
(.f64 3 (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 3)))))
(.f64 3 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(.f64 3 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 3)) 1)
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(.f64 3 (.f64 x x))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 2) 9) 1/2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 9))
(sqrt.f64 (*.f64 (pow.f64 x 4) 9))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 27))
(cbrt.f64 (*.f64 (pow.f64 x 6) 27))
(pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 2) 3/2)
(.f64 3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
(.f64 3 (.f64 x x))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 9))
(sqrt.f64 (*.f64 (pow.f64 x 4) 9))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(.f64 3 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(.f64 3 (.f64 x x))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 27))
(cbrt.f64 (*.f64 (pow.f64 x 6) 27))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(.f64 3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1))
(.f64 3 (.f64 x x))
(+.f64 3 (.f64 3 (.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(+.f64 0 (*.f64 3 (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(+.f64 (.f64 (.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(+.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) 2)) (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3) 27) (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) (-.f64 9 (.f64 (.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3))))
(/.f64 (+.f64 27 (.f64 27 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) (-.f64 9 (.f64 3 (.f64 3 (*.f64 x (fma.f64 x 3 -4)))))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3) 27) (-.f64 (+.f64 9 (pow.f64 (.f64 x (.f64 (fma.f64 3 x -4) 3)) 2)) (.f64 9 (*.f64 x (fma.f64 3 x -4)))))
(/.f64 (fma.f64 27 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3) 27) (+.f64 9 (.f64 (.f64 9 (.f64 x (fma.f64 3 x -4))) (fma.f64 x (fma.f64 3 x -4) -1))))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) 9) (fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) -3))
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) -9) (fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) -3))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (fma.f64 3 x -4) 3)) 2) -9) (fma.f64 3 (*.f64 x (fma.f64 3 x -4)) -3))
(/.f64 (fma.f64 9 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) -9) (fma.f64 (.f64 3 x) (fma.f64 3 x -4) -3))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3)) 3) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3)) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3 -4)))) 3))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3)) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (-.f64 1 (*.f64 x (fma.f64 3 x -4)))) 3))
(/.f64 (fma.f64 3 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3) 3) (+.f64 1 (.f64 (*.f64 x (fma.f64 3 x -4)) (fma.f64 x (fma.f64 3 x -4) -1))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1) 3) (fma.f64 x (fma.f64 x 3 -4) -1))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1) (/.f64 (fma.f64 x (fma.f64 x 3 -4) -1) 3))
(/.f64 (fma.f64 3 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2) -3) (fma.f64 x (fma.f64 3 x -4) -1))
(/.f64 (.f64 3 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3)) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3 -4)))) 3))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3)) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 3 x -4)) 2) (-.f64 1 (*.f64 x (fma.f64 3 x -4)))) 3))
(/.f64 (fma.f64 3 (pow.f64 (.f64 x (fma.f64 3 x -4)) 3) 3) (+.f64 1 (.f64 (*.f64 x (fma.f64 3 x -4)) (fma.f64 x (fma.f64 3 x -4) -1))))
(/.f64 (.f64 3 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1)) (fma.f64 x (fma.f64 x 3 -4) -1))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1) (/.f64 (fma.f64 x (fma.f64 x 3 -4) -1) 3))
(/.f64 (fma.f64 3 (pow.f64 (*.f64 x (fma.f64 3 x -4)) 2) -3) (fma.f64 x (fma.f64 3 x -4) -1))
(pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 1)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 2) 1/2)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3) 1/3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 2)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(sqrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 2))
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3))
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(exp.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.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))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(exp.f64 (.f64 (log.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 1))
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 1 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2) (.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 1 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 2) (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)

eval131.0ms (2.7%)

Compiler: Compiled 4217 to 3361 computations (20.3% saved)

prune66.0ms (1.4%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	282	2	284
Fresh	0	5	5
Picked	1	0	1
Done	0	5	5
Total	283	12	295

Error

Counts

295 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12)) 3)
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
✓	1.7b	(fma.f64 3 (.f64 x (.f64 3 x)) 3)
▶	14.2b	(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (fma.f64 x (.f64 x 9) -3))
✓	22.2b	(+.f64 (*.f64 -12 x) 3)
▶	40.0b	(.f64 x (+.f64 (.f64 x 9) -12))
▶	40.3b	(.f64 x (.f64 x 9))
▶	61.5b	(*.f64 x -12)
✓	40.3b	(.f64 9 (.f64 x x))
▶	0.2b	(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
	22.5b	3

Compiler

Compiled 178 to 138 computations (22.5% saved)

localize48.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))
	0.1b	(.f64 x (.f64 x 3))
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	19.4b	(sqrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 73 to 55 computations (24.7% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
0.0ms	x	@	inf	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
0.0ms	x	@	0	(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))

rewrite82.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log-prod_binary64`
600×	`fma-def_binary64`
393×	`fma-neg_binary64`
326×	`pow2_binary64`
223×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	312	27
2	3719	25

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (.f64 x 3)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(.f64 3 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2) (.f64 x 4)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (cbrt.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))))))) (#(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 *.f64 x (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4)) (cbrt.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 (cbrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) 3) (sqrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 +.f64 3 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) 2)) (fma.f64 x (fma.f64 x 3 -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3) 27) (+.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 2) (-.f64 9 (*.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 2) 9) (fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 3)) 3) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1) 3) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (*.f64 x (fma.f64 x 3 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 3 -4)) 2) -1)) (fma.f64 x (fma.f64 x 3 -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 2) (cbrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 3 (*.f64 x (fma.f64 x 3 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)))))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

623×	`log-prod_binary64`
476×	`unswap-sqr_binary64`
347×	`fabs-mul_binary64`
275×	`cube-prod_binary64`
273×	`swap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	1645
1	588	1369
2	1969	1356
3	5046	1324

Stop Event

1×	node limit

Counts

135 → 146

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(.f64 -1 (.f64 (sqrt.f64 3) x))
(.f64 -1 (.f64 (sqrt.f64 3) x))
(.f64 -1 (.f64 (sqrt.f64 3) x))
(.f64 -1 (.f64 (sqrt.f64 3) x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 (.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) 3))
(+.f64 (.f64 -12 x) (+.f64 (.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))) 3))
(.f64 3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))))
(.f64 3 (.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 3 (*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)))))
(+.f64 0 (*.f64 x (sqrt.f64 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 3)))) 1)
(*.f64 x (sqrt.f64 3))
(.f64 (.f64 x (sqrt.f64 3)) 1)
(.f64 1 (.f64 x (sqrt.f64 3)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 3)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (sqrt.f64 3))))
(.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 4))) (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(.f64 (pow.f64 1 1/2) (.f64 x (sqrt.f64 3)))
(pow.f64 (.f64 x (.f64 x 3)) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 3)) 1)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) 2)
(fabs.f64 (*.f64 x (sqrt.f64 3)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 3))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 3))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 3))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 3))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 3))) 1))
(+.f64 0 (.f64 x (.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 3)))) 1)
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(.f64 (.f64 x (*.f64 x 3)) 1)
(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
(.f64 1 (.f64 x (*.f64 x 3)))
(.f64 (.f64 x x) 3)
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 4)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (.f64 x (sqrt.f64 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 4)) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 3)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x 3)) (.f64 x (sqrt.f64 3))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 3))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 3))) 3) (sqrt.f64 (*.f64 x (sqrt.f64 3))))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)))
(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
(.f64 (.f64 (.f64 x (sqrt.f64 3)) (sqrt.f64 x)) (sqrt.f64 (.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(log1p.f64 (expm1.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))
(+.f64 3 (.f64 3 (.f64 x (fma.f64 x 3 -4))))
(+.f64 0 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))
(+.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(+.f64 (.f64 (.f64 3 (*.f64 x (fma.f64 x 3 -4))) 1) 3)
(+.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 3 -4) 1)) 2)) (fma.f64 x (fma.f64 x 3 -4) 1))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3) 27) (+.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) (-.f64 9 (.f64 (.f64 3 (*.f64 x (fma.f64 x 3 -4))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 2) 9) (fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) -3))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3)) 3) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1) 3) (fma.f64 x (fma.f64 x 3 -4) -1))
(/.f64 (.f64 3 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 3))) (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) (-.f64 1 (.f64 x (fma.f64 x 3 -4)))))
(/.f64 (.f64 3 (+.f64 (pow.f64 (.f64 x (fma.f64 x 3 -4)) 2) -1)) (fma.f64 x (fma.f64 x 3 -4) -1))
(pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 1)
(pow.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 2)
(sqrt.f64 (*.f64 9 (pow.f64 (fma.f64 x (fma.f64 x 3 -4) 1) 2)))
(log.f64 (pow.f64 (exp.f64 3) (fma.f64 x (fma.f64 x 3 -4) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)))))
(cbrt.f64 (pow.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))
(log1p.f64 (expm1.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))
(exp.f64 (log.f64 (*.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))))
(exp.f64 (.f64 (log.f64 (.f64 3 (fma.f64 x (fma.f64 x 3 -4) 1))) 1))
(fma.f64 3 (*.f64 x (fma.f64 x 3 -4)) 3)
(fma.f64 (*.f64 x (fma.f64 x 3 -4)) 3 3)
(fma.f64 1 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2) (.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3 -4))) (.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3) 3)
(fma.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4))) 1 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 2) (cbrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)
(fma.f64 (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (.f64 3 (.f64 x (fma.f64 x 3 -4)))) 3)
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3 -4))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)
(fma.f64 (.f64 3 (sqrt.f64 (.f64 x (fma.f64 x 3 -4)))) (sqrt.f64 (*.f64 x (fma.f64 x 3 -4))) 3)

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

localize2.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

445×	`pow1_binary64`
429×	`add-sqr-sqrt_binary64`
422×	`*-un-lft-identity_binary64`
413×	`add-log-exp_binary64`
413×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1141	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

551×	`associate-l_binary64`
477×	`associate-r_binary64`
419×	`associate-*l/_binary64`
276×	`fma-neg_binary64`
246×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	216
1	100	206
2	355	191
3	3244	191
4	5315	191

Stop Event

1×	node limit

Counts

26 → 20

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

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

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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`pow1_binary64`
747×	`add-log-exp_binary64`
747×	`log1p-expm1-u_binary64`
747×	`expm1-log1p-u_binary64`
734×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	159	8
2	2025	8

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

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

406×	`associate-*l/_binary64`
360×	`fma-def_binary64`
341×	`times-frac_binary64`
341×	`fma-neg_binary64`
269×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	372
1	258	354
2	1053	343
3	4509	343

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

localize53.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (pow.f64 x 4) 81) -9)
✓	0.1b	(fma.f64 x (*.f64 x 9) -3)
✓	0.1b	(*.f64 (pow.f64 x 4) 81)
✓	11.8b	(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (fma.f64 x (.f64 x 9) -3))

Compiler

Compiled 45 to 35 computations (22.2% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (fma.f64 x (.f64 x 9) -3))
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (fma.f64 x (.f64 x 9) -3))
1.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (fma.f64 x (.f64 x 9) -3))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 4) 81)
0.0ms	x	@	0	(*.f64 (pow.f64 x 4) 81)

rewrite66.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
327×	`pow2_binary64`
298×	`pow-prod-down_binary64`
225×	`pow1/3_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	284	41
2	3314	41

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (fma.f64 x (.f64 x 9) -3))
(*.f64 (pow.f64 x 4) 81)
(fma.f64 x (*.f64 x 9) -3)
(+.f64 (*.f64 (pow.f64 x 4) 81) -9)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 x 9) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)) 1)))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 81 -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 81 (pow.f64 x 4) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 4) 81) 1 -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (pow.f64 x 4) 81) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 81 (.f64 x x)) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 81 (.f64 x x)) (.f64 x x) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81)) (cbrt.f64 (.f64 6561 (pow.f64 x 8))) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 8))) (cbrt.f64 (.f64 (pow.f64 x 4) 81)) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 (cbrt.f64 (pow.f64 x 4)) 81) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9)) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 81 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)) -9)))))

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
412×	`log-prod_binary64`
232×	`exp-prod_binary64`
172×	`div-sub_binary64`
166×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	2459
1	693	2354
2	2760	2338

Stop Event

1×	node limit

Counts

188 → 184

Calls

Call 1

Inputs
3
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
-3
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
-9
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(*.f64 81 (pow.f64 x 4))
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(*.f64 81 (pow.f64 x 4))
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(+.f64 0 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)))) 1)
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 x 9) -3)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)) 1)
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)) (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 9) -3))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 9) -3)) (fma.f64 (pow.f64 x 4) 81 -9))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) -3)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) -3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) -2) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (pow.f64 (fma.f64 x (.f64 x 9) -3) -1/2) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)) (sqrt.f64 (fma.f64 x (.f64 x 9) -3))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))) 2)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 9) -3) (fma.f64 (pow.f64 x 4) 81 -9)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 9) -3) (fma.f64 (pow.f64 x 4) 81 -9)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (neg.f64 (fma.f64 x (*.f64 x 9) -3))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 9) -3) (fma.f64 (pow.f64 x 4) 81 -9))) -1))
(+.f64 0 (*.f64 (pow.f64 x 4) 81))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 81))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 81) 1)
(pow.f64 (*.f64 6561 (pow.f64 x 8)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 3)
(pow.f64 (.f64 x (.f64 x 9)) 2)
(pow.f64 (*.f64 531441 (pow.f64 x 12)) 1/3)
(sqrt.f64 (*.f64 6561 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) 81))))
(cbrt.f64 (*.f64 531441 (pow.f64 x 12)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 81)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 81)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) 81)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 81)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81))) 3))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 9))) 2))
(exp.f64 (.f64 (log.f64 (.f64 531441 (pow.f64 x 12))) 1/3))
(+.f64 -3 (.f64 x (.f64 x 9)))
(+.f64 (.f64 x (.f64 x 9)) -3)
(+.f64 0 (fma.f64 x (*.f64 x 9) -3))
(+.f64 (.f64 (.f64 x (*.f64 x 9)) 1) -3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) -3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) -3))) 1)
(.f64 (fma.f64 x (.f64 x 9) -3) 1)
(.f64 1 (fma.f64 x (.f64 x 9) -3))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) -3)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 9) -3)) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) 3))
(/.f64 (+.f64 (sqrt.f64 (.f64 531441 (pow.f64 x 12))) -27) (fma.f64 (pow.f64 x 4) 81 (-.f64 9 (.f64 (.f64 x (.f64 x 9)) -3))))
(pow.f64 (fma.f64 x (*.f64 x 9) -3) 1)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9) -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) -3)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9) -3)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) -3) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 9) -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 9) -3))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) -3)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9) -3)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 9) -3)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 9) -3)) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (.f64 x 9) -3) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 9) -3))) 2))
(-.f64 (*.f64 (pow.f64 x 4) 81) 9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) 81 -9))) 1)
(-.f64 (/.f64 (*.f64 6561 (pow.f64 x 8)) (fma.f64 (pow.f64 x 4) 81 9)) (/.f64 81 (fma.f64 (pow.f64 x 4) 81 9)))
(*.f64 (fma.f64 (pow.f64 x 4) 81 -9) 1)
(*.f64 1 (fma.f64 (pow.f64 x 4) 81 -9))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(.f64 (fma.f64 531441 (pow.f64 x 12) -729) (/.f64 1 (-.f64 (fma.f64 6561 (pow.f64 x 8) 81) (.f64 (pow.f64 x 4) -729))))
(*.f64 (fma.f64 6561 (pow.f64 x 8) -81) (/.f64 1 (fma.f64 (pow.f64 x 4) 81 9)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 6561 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) -729)) (fma.f64 531441 (pow.f64 x 12) -729)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 81 9) (fma.f64 6561 (pow.f64 x 8) -81)))
(/.f64 (fma.f64 531441 (pow.f64 x 12) -729) (-.f64 (fma.f64 6561 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) -729)))
(/.f64 (fma.f64 531441 (pow.f64 x 12) -729) (+.f64 81 (-.f64 (.f64 6561 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -729))))
(/.f64 (fma.f64 6561 (pow.f64 x 8) -81) (fma.f64 (pow.f64 x 4) 81 9))
(/.f64 (neg.f64 (fma.f64 531441 (pow.f64 x 12) -729)) (neg.f64 (-.f64 (fma.f64 6561 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) -729))))
(/.f64 (neg.f64 (fma.f64 6561 (pow.f64 x 8) -81)) (neg.f64 (fma.f64 (pow.f64 x 4) 81 9)))
(/.f64 (-.f64 81 (.f64 6561 (pow.f64 x 8))) (-.f64 -9 (.f64 (pow.f64 x 4) 81)))
(pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 6561 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) -729)) (fma.f64 531441 (pow.f64 x 12) -729)) -1)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 9) (fma.f64 6561 (pow.f64 x 8) -81)) -1)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 4) 81 -9))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (pow.f64 x 4) 81 -9))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9))) 2))
(fma.f64 (pow.f64 x 4) 81 -9)
(fma.f64 81 (pow.f64 x 4) -9)
(fma.f64 (*.f64 (pow.f64 x 4) 81) 1 -9)
(fma.f64 1 (*.f64 (pow.f64 x 4) 81) -9)
(fma.f64 (.f64 x x) (.f64 81 (*.f64 x x)) -9)
(fma.f64 (.f64 81 (.f64 x x)) (*.f64 x x) -9)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81)) (cbrt.f64 (.f64 6561 (pow.f64 x 8))) -9)
(fma.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 8))) (cbrt.f64 (.f64 (pow.f64 x 4) 81)) -9)
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 (pow.f64 x 4)) 81) -9)
(fma.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9)) -9)
(fma.f64 (*.f64 81 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)) -9)

Outputs
3
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 x (*.f64 9 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 x (*.f64 9 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 x (*.f64 9 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 x (*.f64 9 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 x (*.f64 9 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 x (*.f64 9 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 x (*.f64 9 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 x (*.f64 9 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 x (*.f64 9 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
-3
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(fma.f64 9 (*.f64 x x) -3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(fma.f64 9 (*.f64 x x) -3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(fma.f64 9 (*.f64 x x) -3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(fma.f64 9 (*.f64 x x) -3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(fma.f64 9 (*.f64 x x) -3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(fma.f64 9 (*.f64 x x) -3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(fma.f64 9 (*.f64 x x) -3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(fma.f64 9 (*.f64 x x) -3)
(-.f64 (*.f64 9 (pow.f64 x 2)) 3)
(fma.f64 9 (*.f64 x x) -3)
-9
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(fma.f64 81 (pow.f64 x 4) -9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(fma.f64 81 (pow.f64 x 4) -9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(fma.f64 81 (pow.f64 x 4) -9)
(*.f64 81 (pow.f64 x 4))
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(fma.f64 81 (pow.f64 x 4) -9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(fma.f64 81 (pow.f64 x 4) -9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(fma.f64 81 (pow.f64 x 4) -9)
(*.f64 81 (pow.f64 x 4))
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(fma.f64 81 (pow.f64 x 4) -9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(fma.f64 81 (pow.f64 x 4) -9)
(-.f64 (*.f64 81 (pow.f64 x 4)) 9)
(fma.f64 81 (pow.f64 x 4) -9)
(+.f64 0 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (.f64 x x) -3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (.f64 x x) -3))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (.f64 x x) -3))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (.f64 x -9) 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (.f64 x x) -3))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (.f64 x -9) 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)))) 1)
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 x 9) -3)))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)) 1)
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3)))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)) (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2)) (.f64 (/.f64 1 (fma.f64 9 (*.f64 x x) -3)) (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -9))))
(/.f64 (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -9)) (/.f64 (fma.f64 9 (*.f64 x x) -3) (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2)) (/.f64 (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -9)) (fma.f64 9 (.f64 x x) -3)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))) 2))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (.f64 x 9) -3))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 9) -3))))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 9) -3)) (fma.f64 (pow.f64 x 4) 81 -9))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) -3)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2)) (.f64 (/.f64 1 (fma.f64 9 (*.f64 x x) -3)) (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -9))))
(/.f64 (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -9)) (/.f64 (fma.f64 9 (*.f64 x x) -3) (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2)) (/.f64 (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -9)) (fma.f64 9 (.f64 x x) -3)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) -3)))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) -2) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) -3)) -2) (/.f64 (fma.f64 81 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 9 (*.f64 x x) -3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (.f64 x x) -3))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2)) (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) -3)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) -3)) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (.f64 x -9) 3)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(.f64 (pow.f64 (fma.f64 x (.f64 x 9) -3) -1/2) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (pow.f64 (fma.f64 9 (.f64 x x) -3) -1/2) (/.f64 (fma.f64 81 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 9 (*.f64 x x) -3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2)) (sqrt.f64 (fma.f64 x (.f64 x 9) -3))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2)) (.f64 (/.f64 1 (fma.f64 9 (*.f64 x x) -3)) (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -9))))
(/.f64 (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -9)) (/.f64 (fma.f64 9 (*.f64 x x) -3) (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 81 (pow.f64 x 4) -9) 2)) (/.f64 (cbrt.f64 (fma.f64 81 (pow.f64 x 4) -9)) (fma.f64 9 (.f64 x x) -3)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)) 1)
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)) 2) 1/2)
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3)) 3) 1/3)
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))) 3)
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 x 9) -3))) 2)
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 9) -3) (fma.f64 (pow.f64 x 4) 81 -9)) -1)
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3)) 1/3)
(/.f64 (fma.f64 81 (pow.f64 x 4) -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) -81 9) (fma.f64 x (*.f64 x -9) 3))
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(/.f64 (fma.f64 531441 (pow.f64 x 12) -729) (+.f64 81 (fma.f64 6561 (pow.f64 x 8) (*.f64 (pow.f64 x 4) 729))))
(/.f64 (fma.f64 531441 (pow.f64 x 12) -729) (fma.f64 (pow.f64 x 4) 729 (fma.f64 6561 (pow.f64 x 8) 81)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 9) (fma.f64 6561 (pow.f64 x 8) -81)) -1)
(*.f64 (fma.f64 6561 (pow.f64 x 8) -81) (/.f64 1 (fma.f64 (pow.f64 x 4) 81 9)))
(/.f64 (fma.f64 6561 (pow.f64 x 8) -81) (fma.f64 81 (pow.f64 x 4) 9))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 2))
(fma.f64 81 (pow.f64 x 4) -9)
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(fma.f64 81 (pow.f64 x 4) -9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 4) 81 -9))))
(fma.f64 81 (pow.f64 x 4) -9)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3))
(fma.f64 81 (pow.f64 x 4) -9)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(fma.f64 81 (pow.f64 x 4) -9)
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(fma.f64 81 (pow.f64 x 4) -9)
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) 81 -9)))
(fma.f64 81 (pow.f64 x 4) -9)
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 1))
(fma.f64 81 (pow.f64 x 4) -9)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (pow.f64 x 4) 81 -9))) 1/3))
(fma.f64 81 (pow.f64 x 4) -9)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9))) 3))
(fma.f64 81 (pow.f64 x 4) -9)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9))) 2))
(fma.f64 81 (pow.f64 x 4) -9)
(fma.f64 (pow.f64 x 4) 81 -9)
(fma.f64 81 (pow.f64 x 4) -9)
(fma.f64 81 (pow.f64 x 4) -9)
(fma.f64 (*.f64 (pow.f64 x 4) 81) 1 -9)
(fma.f64 81 (pow.f64 x 4) -9)
(fma.f64 1 (*.f64 (pow.f64 x 4) 81) -9)
(fma.f64 81 (pow.f64 x 4) -9)
(fma.f64 (.f64 x x) (.f64 81 (*.f64 x x)) -9)
(fma.f64 81 (pow.f64 x 4) -9)
(fma.f64 (.f64 81 (.f64 x x)) (*.f64 x x) -9)
(fma.f64 81 (pow.f64 x 4) -9)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81)) (cbrt.f64 (.f64 6561 (pow.f64 x 8))) -9)
(fma.f64 (cbrt.f64 (.f64 81 (pow.f64 x 4))) (cbrt.f64 (.f64 6561 (pow.f64 x 8))) -9)
(fma.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 8))) (cbrt.f64 (.f64 (pow.f64 x 4) 81)) -9)
(fma.f64 (cbrt.f64 (.f64 81 (pow.f64 x 4))) (cbrt.f64 (.f64 6561 (pow.f64 x 8))) -9)
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 (pow.f64 x 4)) 81) -9)
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 81 (cbrt.f64 (pow.f64 x 4))) -9)
(fma.f64 81 (*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4))) -9)
(fma.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9)) -9)
(fma.f64 81 (pow.f64 x 4) -9)
(fma.f64 (*.f64 81 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)) -9)
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 81 (cbrt.f64 (pow.f64 x 4))) -9)
(fma.f64 81 (*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4))) -9)

eval164.0ms (3.4%)

Compiler: Compiled 6936 to 5542 computations (20.1% saved)

prune59.0ms (1.2%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	392	3	395
Fresh	0	2	2
Picked	1	0	1
Done	1	8	9
Total	394	13	407

Error

Counts

407 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12)) 3)
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
▶	40.0b	(fma.f64 9 (.f64 x x) (.f64 x -12))
✓	1.7b	(fma.f64 3 (.f64 x (.f64 3 x)) 3)
▶	14.2b	(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (+.f64 (.f64 x (*.f64 x 9)) -3))
▶	40.0b	(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
✓	22.2b	(+.f64 (*.f64 -12 x) 3)
✓	40.0b	(.f64 x (+.f64 (.f64 x 9) -12))
✓	40.3b	(.f64 x (.f64 x 9))
✓	61.5b	(*.f64 x -12)
✓	40.3b	(.f64 9 (.f64 x x))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
	22.5b	3

Compiler

Compiled 115 to 87 computations (24.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary64`
831×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	8
2	2280	8

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

662×	`times-frac_binary64`
511×	`div-sub_binary64`
312×	`associate-/l*_binary64`
287×	`fma-def_binary64`
255×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	882
1	311	689
2	1080	666
3	5913	661

Stop Event

1×	node limit

Counts

54 → 56

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

Outputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x 9 -12))) 1)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 x (-.f64 (.f64 x 9) -12))) (/.f64 (.f64 (.f64 x x) 144) (.f64 x (-.f64 (.f64 x 9) -12))))
(/.f64 (-.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 x (.f64 x 144))) (*.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) -144)) (.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (/.f64 81 (/.f64 x (pow.f64 x 4))) (*.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -144)) (fma.f64 x 9 12))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(.f64 (.f64 x (fma.f64 x 9 -12)) 1)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 1 (.f64 x (fma.f64 x 9 -12)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x 9 -12))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 9 -12))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x 9 -12)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x 9 -12))) (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x 9 -12)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 729) (.f64 (pow.f64 x 3) -1728)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 (.f64 -12 x) (.f64 x (-.f64 -12 (.f64 x 9))))) (fma.f64 (pow.f64 (.f64 x x) 3) 729 (.f64 (pow.f64 x 3) -1728))))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (fma.f64 x (.f64 (.f64 -12 x) (+.f64 -12 (.f64 -9 x))) (*.f64 (pow.f64 x 4) 81)))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) (-.f64 (*.f64 x -108) 144))))
(/.f64 (fma.f64 (pow.f64 x 6) -729 (.f64 (pow.f64 x 3) 1728)) (fma.f64 x (.f64 -12 (.f64 x (fma.f64 x 9 12))) (.f64 (pow.f64 x 4) -81)))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x x) 144)) (/.f64 1 (.f64 x (-.f64 (*.f64 x 9) -12))))
(/.f64 (-.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 x (.f64 x 144))) (*.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) -144)) (.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (/.f64 81 (/.f64 x (pow.f64 x 4))) (*.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -144)) (fma.f64 x 9 12))
(*.f64 (fma.f64 x 9 -12) x)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (.f64 x (.f64 x 9))))) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 729) (.f64 (pow.f64 x 3) -1728))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 (.f64 -12 x) (.f64 x (-.f64 -12 (.f64 x 9))))) (fma.f64 (pow.f64 (.f64 x x) 3) 729 (.f64 (pow.f64 x 3) -1728))))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (fma.f64 x (.f64 (.f64 -12 x) (+.f64 -12 (.f64 -9 x))) (*.f64 (pow.f64 x 4) 81)))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) (-.f64 (*.f64 x -108) 144))))
(/.f64 (fma.f64 (pow.f64 x 6) -729 (.f64 (pow.f64 x 3) 1728)) (fma.f64 x (.f64 -12 (.f64 x (fma.f64 x 9 12))) (.f64 (pow.f64 x 4) -81)))
(/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x 9) -12)) (-.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x x) 144))))
(/.f64 (-.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 x (.f64 x 144))) (*.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) -144)) (.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (/.f64 81 (/.f64 x (pow.f64 x 4))) (*.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 729) (.f64 (pow.f64 x 3) -1728)) (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (.f64 x (.f64 x 9))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 (.f64 -12 x) (.f64 x (-.f64 -12 (.f64 x 9))))) (fma.f64 (pow.f64 (.f64 x x) 3) 729 (.f64 (pow.f64 x 3) -1728))))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (fma.f64 x (.f64 (.f64 -12 x) (+.f64 -12 (.f64 -9 x))) (*.f64 (pow.f64 x 4) 81)))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) (-.f64 (*.f64 x -108) 144))))
(/.f64 (fma.f64 (pow.f64 x 6) -729 (.f64 (pow.f64 x 3) 1728)) (fma.f64 x (.f64 -12 (.f64 x (fma.f64 x 9 12))) (.f64 (pow.f64 x 4) -81)))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 729) (.f64 (pow.f64 x 3) -1728)) (+.f64 (.f64 (.f64 x x) 144) (-.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 x (.f64 (.f64 x 9) (*.f64 x -12))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 (.f64 -12 x) (.f64 x (-.f64 -12 (.f64 x 9))))) (fma.f64 (pow.f64 (.f64 x x) 3) 729 (.f64 (pow.f64 x 3) -1728))))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (fma.f64 x (.f64 (.f64 -12 x) (+.f64 -12 (.f64 -9 x))) (*.f64 (pow.f64 x 4) 81)))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) (-.f64 (*.f64 x -108) 144))))
(/.f64 (fma.f64 (pow.f64 x 6) -729 (.f64 (pow.f64 x 3) 1728)) (fma.f64 x (.f64 -12 (.f64 x (fma.f64 x 9 12))) (.f64 (pow.f64 x 4) -81)))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x x) 144)) (.f64 x (-.f64 (.f64 x 9) -12)))
(/.f64 (-.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 x (.f64 x 144))) (*.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) -144)) (.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (/.f64 81 (/.f64 x (pow.f64 x 4))) (*.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 729) (.f64 (pow.f64 x 3) -1728))) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x -12) (-.f64 (.f64 x -12) (.f64 x (.f64 x 9)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 (.f64 -12 x) (.f64 x (-.f64 -12 (.f64 x 9))))) (fma.f64 (pow.f64 (.f64 x x) 3) 729 (.f64 (pow.f64 x 3) -1728))))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (fma.f64 x (.f64 (.f64 -12 x) (+.f64 -12 (.f64 -9 x))) (*.f64 (pow.f64 x 4) 81)))
(/.f64 (fma.f64 (pow.f64 x 6) 729 (.f64 (pow.f64 x 3) -1728)) (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) (-.f64 (*.f64 x -108) 144))))
(/.f64 (fma.f64 (pow.f64 x 6) -729 (.f64 (pow.f64 x 3) 1728)) (fma.f64 x (.f64 -12 (.f64 x (fma.f64 x 9 12))) (.f64 (pow.f64 x 4) -81)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x x) 144))) (neg.f64 (.f64 x (-.f64 (.f64 x 9) -12))))
(/.f64 (-.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 x (.f64 x 144))) (*.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) -144)) (.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (/.f64 81 (/.f64 x (pow.f64 x 4))) (*.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (.f64 x (.f64 x 9)) 2)) (-.f64 (.f64 x -12) (.f64 x (*.f64 x 9))))
(/.f64 (-.f64 (pow.f64 (.f64 9 (.f64 x x)) 2) (.f64 x (.f64 x 144))) (*.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) (.f64 (.f64 x x) -144)) (.f64 x (fma.f64 x 9 12)))
(/.f64 (+.f64 (/.f64 81 (/.f64 x (pow.f64 x 4))) (*.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) (/.f64 81 x)) (.f64 x -144)) (fma.f64 x 9 12))
(pow.f64 (*.f64 x (fma.f64 x 9 -12)) 1)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 1/3)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 9 -12))) 3)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 9 -12))) 2)
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 2))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 9 -12)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 9 -12))))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 9 -12))))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 9 -12))))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 x (.f64 x 9) (.f64 x -12))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x 9) x (.f64 x -12))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 1 (.f64 x (.f64 x 9)) (*.f64 x -12))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 1 (.f64 x -12) (.f64 x (*.f64 x 9)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x x) 9 (.f64 x -12))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 9))) 2) (cbrt.f64 (.f64 x (.f64 x 9))) (*.f64 x -12))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -12)) 2) (cbrt.f64 (.f64 x -12)) (.f64 x (.f64 x 9)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x 3) (.f64 x 3) (*.f64 x -12))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (sqrt.f64 (.f64 x -12)) (sqrt.f64 (.f64 x -12)) (.f64 x (.f64 x 9)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(*.f64 x (fma.f64 x 9 -12))

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 (pow.f64 x 4) 81) -9)
	0.1b	(*.f64 (pow.f64 x 4) 81)
	0.2b	(.f64 x (.f64 x 9))
✓	11.8b	(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (+.f64 (.f64 x (*.f64 x 9)) -3))

Compiler

Compiled 52 to 40 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81) -9) (+.f64 (*.f64 x (*.f64 x 9)) -3))

0.0ms

inf

(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81) -9) (+.f64 (*.f64 x (*.f64 x 9)) -3))

0.0ms

-inf

(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81) -9) (+.f64 (*.f64 x (*.f64 x 9)) -3))

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`log-prod_binary64`
489×	`prod-diff_binary64`
252×	`fma-neg_binary64`
251×	`fma-def_binary64`
245×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	315	8
2	3882	8

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (+.f64 (.f64 x (*.f64 x 9)) -3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 9) 3))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 9) 3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 9) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x 9) 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x 9) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 9)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (*.f64 x 9) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9) 3)) (sqrt.f64 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x 9) -3)) (fma.f64 (pow.f64 x 4) 81 -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (*.f64 x 9) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (*.f64 x 9) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) -3)) 2)) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) -3)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) -3)) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 (pow.f64 (*.f64 x x) 3) 729 -27)) (-.f64 (fma.f64 (pow.f64 x 4) 81 9) (*.f64 (*.f64 x x) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (*.f64 x 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 9) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x (*.f64 x 9) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (fma.f64 x (*.f64 x 9) 3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (neg.f64 (fma.f64 x (*.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 9) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 9) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 9) x 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 9)) 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (cbrt.f64 (*.f64 x (*.f64 x 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (*.f64 (cbrt.f64 (*.f64 x 9)) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) (*.f64 x 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 3) (*.f64 (*.f64 (sqrt.f64 x) 3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 6561 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (cbrt.f64 (*.f64 x 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 (sqrt.f64 x) 3)) (*.f64 (sqrt.f64 x) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9) (sqrt.f64 x)) (sqrt.f64 x) 3)))))

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

315×	`log-prod_binary64`
286×	`times-frac_binary64`
279×	`distribute-rgt-in_binary64`
276×	`fma-def_binary64`
275×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	902
1	384	852
2	1170	834
3	5440	828

Stop Event

1×	node limit

Counts

72 → 80

Calls

Call 1

Inputs
3
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 x (.f64 x 9)) 3)
(+.f64 0 (fma.f64 x (*.f64 x 9) 3))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3))) (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3)))))
(-.f64 (.f64 x (.f64 x 9)) -3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) 3))) 1)
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 x 9) -3)))
(.f64 (fma.f64 x (.f64 x 9) 3) 1)
(.f64 1 (fma.f64 x (.f64 x 9) 3))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) 3)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 9) 3)) (sqrt.f64 (fma.f64 x (*.f64 x 9) 3)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 9) -3))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 9) -3)) (fma.f64 (pow.f64 x 4) 81 -9))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) -3)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) -3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (.f64 x 9) -3))) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (sqrt.f64 (fma.f64 x (.f64 x 9) -3))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 (pow.f64 (.f64 x x) 3) 729 -27)) (-.f64 (fma.f64 (pow.f64 x 4) 81 9) (.f64 (.f64 x x) -27)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) 3))
(pow.f64 (fma.f64 x (*.f64 x 9) 3) 1)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9) 3)) 2)
(pow.f64 (/.f64 1 (fma.f64 x (*.f64 x 9) 3)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x (*.f64 x 9) 3)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (neg.f64 (fma.f64 x (*.f64 x 9) -3))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 9) 3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 9) 3))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) 3)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9) 3)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 9) 3)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 9) 3)) 1))
(fma.f64 x (*.f64 x 9) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (*.f64 x 9) x 3)
(fma.f64 (.f64 x (.f64 x 9)) 1 3)
(fma.f64 1 (.f64 x (.f64 x 9)) 3)
(fma.f64 (*.f64 x x) 9 3)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 9))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 3)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81)) (cbrt.f64 (.f64 x (*.f64 x 9))) 3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 9)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (.f64 (cbrt.f64 (*.f64 x 9)) x) 3)
(fma.f64 (.f64 x 3) (.f64 x 3) 3)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 9)) 3)
(fma.f64 (.f64 (sqrt.f64 x) 3) (.f64 (*.f64 (sqrt.f64 x) 3) x) 3)
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81))) 3)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) (cbrt.f64 (*.f64 x 9)) 3)
(fma.f64 (.f64 x (.f64 (sqrt.f64 x) 3)) (*.f64 (sqrt.f64 x) 3) 3)
(fma.f64 (.f64 (.f64 x 9) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 3)
(fma.f64 (.f64 (.f64 x 9) (sqrt.f64 x)) (sqrt.f64 x) 3)

Outputs
3
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 3 (*.f64 9 (pow.f64 x 2)))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 (.f64 x (.f64 x 9)) 3)
(fma.f64 9 (*.f64 x x) 3)
(+.f64 0 (fma.f64 x (*.f64 x 9) 3))
(fma.f64 9 (*.f64 x x) 3)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3))) (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 9 (.f64 x x) 3))) (cbrt.f64 (exp.f64 (fma.f64 9 (.f64 x x) 3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 (.f64 x x) 3)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 (.f64 x x) 3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 (*.f64 x x) 3)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 (.f64 x x) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 9) 3)))))
(fma.f64 9 (*.f64 x x) 3)
(-.f64 (.f64 x (.f64 x 9)) -3)
(fma.f64 9 (*.f64 x x) 3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) 3))) 1)
(fma.f64 9 (*.f64 x x) 3)
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 x 9) -3)))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (fma.f64 x (.f64 x 9) 3) 1)
(fma.f64 9 (*.f64 x x) 3)
(.f64 1 (fma.f64 x (.f64 x 9) 3))
(fma.f64 9 (*.f64 x x) 3)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)) 2))
(fma.f64 9 (*.f64 x x) 3)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) 3)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)))
(fma.f64 9 (*.f64 x x) 3)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 9) 3)) (sqrt.f64 (fma.f64 x (*.f64 x 9) 3)))
(fma.f64 9 (*.f64 x x) 3)
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 9) -3))))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 9) -3)) (fma.f64 (pow.f64 x 4) 81 -9))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) -3)))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) -3)))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)))
(.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) 3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 9 x) -3)) 2)))
(.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) 3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (pow.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) -3)) 2)))
(/.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) 3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 9 x) -3)) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9) -3)) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (cbrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (.f64 x 9) -3))) (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) 2) (sqrt.f64 (fma.f64 x (.f64 x 9) -3))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 81 -9)) (sqrt.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 (pow.f64 (.f64 x x) 3) 729 -27)) (-.f64 (fma.f64 (pow.f64 x 4) 81 9) (.f64 (.f64 x x) -27)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 (pow.f64 (.f64 x x) 3) 729 -27)) (-.f64 (fma.f64 (pow.f64 x 4) 81 9) (.f64 x (.f64 x -27))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 (pow.f64 x 6) 729 -27)) (+.f64 (fma.f64 (pow.f64 x 4) 81 9) (.f64 (*.f64 x x) 27)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 (pow.f64 x 6) 729 -27)) (fma.f64 x (.f64 x 27) (fma.f64 (pow.f64 x 4) 81 9)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 (pow.f64 x 4) 81 -9)) (fma.f64 x (.f64 x 9) 3))
(fma.f64 9 (*.f64 x x) 3)
(pow.f64 (fma.f64 x (*.f64 x 9) 3) 1)
(fma.f64 9 (*.f64 x x) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3) 1/3)
(fma.f64 9 (*.f64 x x) 3)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9) 3)) 3)
(fma.f64 9 (*.f64 x x) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9) 3)) 2)
(fma.f64 9 (*.f64 x x) 3)
(pow.f64 (/.f64 1 (fma.f64 x (*.f64 x 9) 3)) -1)
(fma.f64 9 (*.f64 x x) 3)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 9 x) -3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 9 (*.f64 x x) -3) 3)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3)) 3))
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x (*.f64 x 9) 3)) 1) -1)
(fma.f64 9 (*.f64 x x) 3)
(neg.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (neg.f64 (fma.f64 x (*.f64 x 9) -3))))
(.f64 (fma.f64 (pow.f64 x 4) 81 -9) (/.f64 1 (fma.f64 x (.f64 9 x) -3)))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 9 (*.f64 x x) -3))
(/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 2))
(fma.f64 9 (*.f64 x x) 3)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 9) 3)))
(fma.f64 9 (*.f64 x x) 3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 9) 3))))
(fma.f64 9 (*.f64 x x) 3)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9) 3) 3))
(fma.f64 9 (*.f64 x x) 3)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 x 9) -3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 x (*.f64 9 x) -3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 4) 81 -9) 3) (pow.f64 (fma.f64 9 (*.f64 x x) -3) 3)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81 -9) (fma.f64 x (*.f64 9 x) -3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9) 3)))
(fma.f64 9 (*.f64 x x) 3)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9) 3)))
(fma.f64 9 (*.f64 x x) 3)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 9) 3)))
(fma.f64 9 (*.f64 x x) 3)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 9) 3)) 1))
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 x (*.f64 x 9) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (*.f64 x 9) x 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (.f64 x (.f64 x 9)) 1 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 1 (.f64 x (.f64 x 9)) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (*.f64 x x) 9 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 9))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 3)
(fma.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 3)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81)) (cbrt.f64 (.f64 x (*.f64 x 9))) 3)
(fma.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 9)) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (.f64 (cbrt.f64 (*.f64 x 9)) x) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (.f64 x 3) (.f64 x 3) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 9)) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (.f64 (sqrt.f64 x) 3) (.f64 (*.f64 (sqrt.f64 x) 3) x) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81))) 3)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) (cbrt.f64 (*.f64 x 9)) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (.f64 x (.f64 (sqrt.f64 x) 3)) (*.f64 (sqrt.f64 x) 3) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (.f64 (.f64 x 9) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 3)
(fma.f64 9 (*.f64 x x) 3)
(fma.f64 (.f64 (.f64 x 9) (sqrt.f64 x)) (sqrt.f64 x) 3)
(fma.f64 9 (*.f64 x x) 3)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	143	11
2	1554	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-/l*_binary64`
396×	`distribute-rgt-in_binary64`
380×	`distribute-lft-in_binary64`
282×	`fma-neg_binary64`
280×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	421
1	166	367
2	687	305
3	2604	296

Stop Event

1×	node limit

Counts

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

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 -12 (.f64 x 9)))
(*.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 -12 (.f64 x 9)))
(*.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 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 x -12) (.f64 9 (*.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 9 (.f64 x x)) (*.f64 x -12))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 (.f64 9 (.f64 x x)) 1) (.f64 x -12))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (+.f64 1 (fma.f64 9 (.f64 x x) (.f64 x -12))) 1)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (fma.f64 9 (.f64 x x) (*.f64 x -12)) 1)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 1 (fma.f64 9 (.f64 x x) (*.f64 x -12)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) (.f64 x -12))) (pow.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) (*.f64 x -12))) 2))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) (.f64 x -12))) 2) (cbrt.f64 (fma.f64 9 (.f64 x x) (*.f64 x -12))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (sqrt.f64 (fma.f64 9 (.f64 x x) (.f64 x -12))) (sqrt.f64 (fma.f64 9 (.f64 x x) (*.f64 x -12))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(/.f64 (+.f64 (pow.f64 (.f64 9 (.f64 x x)) 3) (pow.f64 (.f64 x -12) 3)) (+.f64 (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x))) (-.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 9 (.f64 x x)) (.f64 x -12)))))
(/.f64 (+.f64 (.f64 729 (pow.f64 (.f64 x x) 3)) (pow.f64 (.f64 -12 x) 3)) (+.f64 (.f64 81 (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x 144)) (.f64 9 (.f64 (.f64 x x) (*.f64 -12 x))))))
(/.f64 (fma.f64 729 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 -12 x) 3)) (fma.f64 81 (pow.f64 x 4) (fma.f64 x (.f64 x 144) (.f64 (*.f64 9 (pow.f64 x 3)) 12))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 729 (pow.f64 x 6))) (.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 x x) 81 144) (.f64 9 (.f64 -12 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 729 (pow.f64 x 6))) (fma.f64 x (.f64 x 144) (.f64 (.f64 9 (pow.f64 x 3)) (fma.f64 x 9 12))))
(/.f64 (-.f64 (.f64 (.f64 9 (.f64 x x)) (.f64 9 (.f64 x x))) (.f64 (.f64 x x) 144)) (-.f64 (.f64 9 (.f64 x x)) (.f64 x -12)))
(/.f64 (-.f64 (.f64 81 (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x 144))) (-.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x)))
(/.f64 (fma.f64 81 (pow.f64 x 4) (.f64 (.f64 x x) -144)) (.f64 x (-.f64 (.f64 x 9) -12)))
(/.f64 (fma.f64 81 (pow.f64 x 4) (.f64 x (.f64 x -144))) (*.f64 x (fma.f64 x 9 12)))
(/.f64 (fma.f64 (*.f64 x x) 81 -144) (-.f64 9 (/.f64 -12 x)))
(pow.f64 (fma.f64 9 (.f64 x x) (.f64 x -12)) 1)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (pow.f64 (fma.f64 9 (.f64 x x) (.f64 x -12)) 3) 1/3)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) (.f64 x -12))) 3)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (sqrt.f64 (fma.f64 9 (.f64 x x) (.f64 x -12))) 2)
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(sqrt.f64 (pow.f64 (fma.f64 9 (.f64 x x) (.f64 x -12)) 2))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (exp.f64 (fma.f64 9 (.f64 x x) (.f64 x -12))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(cbrt.f64 (pow.f64 (fma.f64 9 (.f64 x x) (.f64 x -12)) 3))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(expm1.f64 (log1p.f64 (fma.f64 9 (.f64 x x) (.f64 x -12))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(log1p.f64 (expm1.f64 (fma.f64 9 (.f64 x x) (.f64 x -12))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (log.f64 (fma.f64 9 (.f64 x x) (.f64 x -12))))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 9 12)
✓	0.1b	(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12)) 3)
✓	0.2b	(.f64 (.f64 x x) 81)
✓	0.4b	(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12))

Compiler

Compiled 53 to 34 computations (35.8% saved)

series35.0ms (0.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12))
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12))
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12))
0.0ms	x	@	inf	(.f64 (.f64 x x) 81)
0.0ms	x	@	inf	(fma.f64 x (/.f64 (+.f64 (.f64 (.f64 x x) 81) -144) (fma.f64 x 9 12)) 3)

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
331×	`pow2_binary64`
316×	`pow-prod-down_binary64`
229×	`expm1-udef_binary64`
229×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	281	46
2	3345	46

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 81) -144) (/.f64 1 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (neg.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 x (.f64 x 81) -144))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) 1) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) -2) (/.f64 (fma.f64 x (.f64 x 81) -144) (cbrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (cbrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 9 12) -1/2) (/.f64 (fma.f64 x (.f64 x 81) -144) (sqrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) (sqrt.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 3) (pow.f64 (fma.f64 x 9 12) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (neg.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (.f64 x 81) -144)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x 81) -144) 3) (pow.f64 (fma.f64 x 9 12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 x x) 81))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) 81))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 81) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 4) 6561) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 6) 531441) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 6561))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 6) 531441))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 80)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log1p.f64 80)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 2) (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 3) 27) (+.f64 (pow.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 2) (-.f64 9 (.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 2) 9) (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 1))))))
((#(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 0 (fma.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 12))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 12)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (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 (sqrt.f64 (fma.f64 x 9 12)) (sqrt.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 9) 3) 1728) (fma.f64 x (.f64 x 81) (-.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 (pow.f64 (fma.f64 x 9 12) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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))))))

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

717×	`fma-def_binary64`
508×	`unswap-sqr_binary64`
443×	`associate-/l*_binary64`
263×	`*-commutative_binary64`
192×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	2051
1	576	1959
2	2050	1940

Stop Event

1×	node limit

Counts

158 → 164

Calls

Call 1

Inputs
-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 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
12
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(*.f64 9 x)
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(*.f64 9 x)
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(+.f64 12 (*.f64 9 x))
(+.f64 0 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))) 1)
(.f64 (fma.f64 x (.f64 x 81) -144) (/.f64 1 (fma.f64 x 9 12)))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 1)
(.f64 1 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (fma.f64 x 9 12))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (fma.f64 x 9 12))))
(.f64 (neg.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (neg.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 x (.f64 x 81) -144))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)) (fma.f64 x 9 12)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 81) -144)) (fma.f64 x 9 12)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) -2) (/.f64 (fma.f64 x (.f64 x 81) -144) (cbrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 81) -144)) (cbrt.f64 (fma.f64 x 9 12))))
(.f64 (pow.f64 (fma.f64 x 9 12) -1/2) (/.f64 (fma.f64 x (.f64 x 81) -144) (sqrt.f64 (fma.f64 x 9 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)) (sqrt.f64 (fma.f64 x 9 12))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 2)
(pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) -144) 3) (pow.f64 (fma.f64 x 9 12) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) 1) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (neg.f64 (fma.f64 x 9 12))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) -3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) -144) 3) (pow.f64 (fma.f64 x 9 12) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 1))
(+.f64 0 (.f64 (.f64 x x) 81))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 81)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) 81))) 1)
(pow.f64 (.f64 (.f64 x x) 81) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 6561) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 3)
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (*.f64 (pow.f64 x 6) 531441) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 6561))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 81)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) 81))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 531441))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 81)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 81)))
(exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 80)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log1p.f64 80)) 1))
(+.f64 3 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))
(+.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 3)
(+.f64 0 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3))
(+.f64 (.f64 (.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 1) 3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3))) 1)
(.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3) 1)
(.f64 1 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3))
(.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 2) (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))
(.f64 (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 3) 27) (+.f64 (pow.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 2) (-.f64 9 (.f64 (.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) 2) 9) (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) -3))
(pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 1)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 2))
(log.f64 (exp.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 3)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 3)) 1))
(+.f64 12 (*.f64 x 9))
(+.f64 (*.f64 x 9) 12)
(+.f64 0 (fma.f64 x 9 12))
(+.f64 (.f64 (.f64 x 9) 1) 12)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 12))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 9 12)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 12)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 9 12)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 12))) 1)
(*.f64 (fma.f64 x 9 12) 1)
(*.f64 1 (fma.f64 x 9 12))
(*.f64 (cbrt.f64 (fma.f64 x 9 12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2) (cbrt.f64 (fma.f64 x 9 12)))
(*.f64 (sqrt.f64 (fma.f64 x 9 12)) (sqrt.f64 (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) (fma.f64 x (.f64 x 81) (-.f64 144 (.f64 (.f64 x 9) 12))))
(pow.f64 (fma.f64 x 9 12) 1)
(pow.f64 (pow.f64 (fma.f64 x 9 12) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 9 12) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 9 12)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 9 12) 2))
(log.f64 (exp.f64 (fma.f64 x 9 12)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 12))))
(cbrt.f64 (pow.f64 (fma.f64 x 9 12) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 9 12)))
(log1p.f64 (expm1.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))

Outputs
-12
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 x (.f64 x 81))
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))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(*.f64 x (fma.f64 9 x -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(*.f64 x (fma.f64 9 x -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 9 x -12)))
12
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(*.f64 9 x)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(*.f64 9 x)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(+.f64 12 (*.f64 9 x))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(+.f64 0 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 9 x 12))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 9 x 12))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)))) 1)
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (fma.f64 x (.f64 x 81) -144) (/.f64 1 (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 1)
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 1 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 2)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 9 x 12))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 2)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 9 x 12))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12)) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (fma.f64 x 9 12))))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (fma.f64 x 9 12))))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (neg.f64 (fma.f64 x (.f64 x 81) -144)) (/.f64 1 (neg.f64 (fma.f64 x 9 12))))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (/.f64 1 (fma.f64 x 9 12)) (fma.f64 x (.f64 x 81) -144))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)) (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 81) -144)) (fma.f64 x 9 12)))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) -2) (/.f64 (fma.f64 x (.f64 x 81) -144) (cbrt.f64 (fma.f64 x 9 12))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9 x 12)) -2) (/.f64 (fma.f64 x (.f64 x 81) -144) (cbrt.f64 (fma.f64 9 x 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 9 x 12)) -2) (cbrt.f64 (fma.f64 9 x 12))) (fma.f64 x (.f64 x 81) -144))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 x 9 12))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 81) -144) (fma.f64 9 x 12))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)) 2) (pow.f64 (cbrt.f64 (fma.f64 9 x 12)) 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 81) -144)) (pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 81) -144)) (cbrt.f64 (fma.f64 x 9 12))))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(.f64 (pow.f64 (fma.f64 x 9 12) -1/2) (/.f64 (fma.f64 x (.f64 x 81) -144) (sqrt.f64 (fma.f64 x 9 12))))
(.f64 (pow.f64 (fma.f64 9 x 12) -1/2) (/.f64 (fma.f64 x (.f64 x 81) -144) (sqrt.f64 (fma.f64 9 x 12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 81) -144)) 2) (sqrt.f64 (fma.f64 x 9 12))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 81) -144)) (sqrt.f64 (fma.f64 x 9 12))))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 1)
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12)) 2) 1/2)
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 x 9 12))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.f64 9 x 12))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 9 12) (fma.f64 x (*.f64 x 81) -144)) -3))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 9 x 12) (fma.f64 x (*.f64 x 81) -144)) -3))
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(fma.f64 x 9 12)
(fma.f64 9 x 12)
(pow.f64 (pow.f64 (fma.f64 x 9 12) 2) 1/2)
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(pow.f64 (pow.f64 (fma.f64 x 9 12) 3) 1/3)
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(pow.f64 (cbrt.f64 (fma.f64 x 9 12)) 3)
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(pow.f64 (sqrt.f64 (fma.f64 x 9 12)) 2)
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(sqrt.f64 (pow.f64 (fma.f64 x 9 12) 2))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(log.f64 (exp.f64 (fma.f64 x 9 12)))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 12))))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(cbrt.f64 (pow.f64 (fma.f64 x 9 12) 3))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(expm1.f64 (log1p.f64 (fma.f64 x 9 12)))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(log1p.f64 (expm1.f64 (fma.f64 x 9 12)))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(exp.f64 (log.f64 (fma.f64 x 9 12)))
(fma.f64 x 9 12)
(fma.f64 9 x 12)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 12)) 1))
(fma.f64 x 9 12)
(fma.f64 9 x 12)

eval211.0ms (4.4%)

Compiler: Compiled 8107 to 6115 computations (24.6% saved)

prune108.0ms (2.2%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	455	2	457
Fresh	0	1	1
Picked	1	0	1
Done	1	10	11
Total	457	13	470

Error

Counts

470 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
✓	40.0b	(fma.f64 9 (.f64 x x) (.f64 x -12))
	40.3b	(/.f64 (fma.f64 (*.f64 x x) 81 -144) (-.f64 9 (/.f64 -12 x)))
	52.5b	(/.f64 (-.f64 (.f64 81 (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x 144))) (-.f64 (.f64 9 (.f64 x x)) (*.f64 -12 x)))
✓	14.2b	(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81) -9) (+.f64 (.f64 x (*.f64 x 9)) -3))
✓	40.0b	(+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))
✓	22.2b	(+.f64 (*.f64 -12 x) 3)
✓	40.0b	(.f64 x (+.f64 (.f64 x 9) -12))
✓	40.3b	(.f64 x (.f64 x 9))
✓	61.5b	(*.f64 x -12)
✓	40.3b	(.f64 9 (.f64 x x))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
	22.5b	3

Compiler

Compiled 129 to 93 computations (27.9% saved)

regimes60.0ms (1.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	x
11.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
4.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
4.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Results

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

Compiler

Compiled 241 to 172 computations (28.6% saved)

regimes31.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
8.0ms	x
7.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
3.0ms	(+.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 173 to 120 computations (30.6% saved)

regimes25.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x
8.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
3.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
3.0ms	(+.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 128 to 86 computations (32.8% saved)

regimes16.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch52.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	7.200483344911448e-6	6385.974964050891
36.0ms	-2100.184659194215	-1.2644350467812824e-6

Results

48.0ms

288×

body

256

valid

Compiler

Compiled 324 to 257 computations (20.7% saved)

regimes14.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch34.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	7.200483344911448e-6	6385.974964050891
18.0ms	-2100.184659194215	-1.2644350467812824e-6

Results

30.0ms

288×

body

256

valid

Compiler

Compiled 306 to 248 computations (19% saved)

regimes13.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch57.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	7.200483344911448e-6	6385.974964050891
40.0ms	-2100.184659194215	-1.2644350467812824e-6

Results

52.0ms

288×

body

256

valid

Compiler

Compiled 270 to 212 computations (21.5% saved)

regimes13.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	7.200483344911448e-6	6385.974964050891
15.0ms	-2100.184659194215	-1.2644350467812824e-6

Results

29.0ms

288×

body

256

valid

Compiler

Compiled 198 to 158 computations (20.2% saved)

regimes28.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	7.200483344911448e-6	6385.974964050891
16.0ms	-2100.184659194215	-1.2644350467812824e-6

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 198 to 158 computations (20.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -39.3b remaining (-174.7%)

Threshold costs -39.3b (-174.7%)

Counts

2 → 1

Calls

Call 1

Inputs
3
(*.f64 x -12)

Outputs
3

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
22.5b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
7×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`distribute-rgt-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	208
1	73	208
2	85	208
3	89	208
4	91	208

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 1261007895663739/2251799813685248) (+.f64 (.f64 -12 x) 3) (+.f64 (.f64 x (.f64 x 9)) (.f64 x -12))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 1261007895663739/2251799813685248) (+.f64 (.f64 -12 x) 3) (.f64 x (+.f64 (*.f64 x 9) -12))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 9 (.f64 x x)) (if (<=.f64 x 7566047373982433/36028797018963968) (+.f64 (.f64 -12 x) 3) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 9 (.f64 x x)) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 x (.f64 x 9))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 9 (.f64 x x)) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 9 (.f64 x x))))
3

Outputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(fma.f64 x (+.f64 -12 (*.f64 x 9)) 3)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(.f64 3 (+.f64 (-.f64 (.f64 x (.f64 x 3)) (.f64 x 4)) 1))
(.f64 3 (+.f64 (+.f64 (.f64 x (.f64 x 3)) (.f64 x -4)) 1))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 1261007895663739/2251799813685248) (+.f64 (.f64 -12 x) 3) (+.f64 (.f64 x (.f64 x 9)) (.f64 x -12))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (+.f64 -12 (.f64 x 9))) (if (<=.f64 x 1261007895663739/2251799813685248) (+.f64 3 (.f64 x -12)) (+.f64 (.f64 x (.f64 x 9)) (.f64 x -12))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (+.f64 (.f64 x 9) -12)) (if (<=.f64 x 1261007895663739/2251799813685248) (+.f64 (.f64 -12 x) 3) (.f64 x (+.f64 (*.f64 x 9) -12))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 x (+.f64 -12 (.f64 x 9))) (if (<=.f64 x 1261007895663739/2251799813685248) (+.f64 3 (.f64 x -12)) (.f64 x (+.f64 -12 (*.f64 x 9)))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 9 (.f64 x x)) (if (<=.f64 x 7566047373982433/36028797018963968) (+.f64 (.f64 -12 x) 3) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 9 (.f64 x x)) (if (<=.f64 x 7566047373982433/36028797018963968) (+.f64 3 (.f64 x -12)) (.f64 x (*.f64 x 9))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 9 (.f64 x x)) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 x (.f64 x 9))))
(if (<=.f64 x -5404319552844595/9007199254740992) (.f64 9 (.f64 x x)) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 9 (.f64 x x))))
3

Compiler

Compiled 155 to 113 computations (27.1% saved)

soundness141.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-def_binary64`
722×	`fma-neg_binary64`
150×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
76×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	33	14
2	76	12
3	186	12
4	380	9
5	545	9
6	872	9
7	1533	9
8	2421	9
9	2802	9
10	2913	9
11	3039	9
12	3045	9
13	3045	9

Stop Event

1×

saturated

Compiler

Compiled 185 to 151 computations (18.4% saved)

end86.0ms (1.8%)

Compiler: Compiled 147 to 103 computations (29.9% saved)