Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.1s (21.6%)

Results

1.1s	8256×	body	256	valid
1.0ms	17×	body	256	infinite

Bogosity

preprocess76.0ms (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)

simplify68.0ms (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 4 expressions with local error:

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

Compiler

Compiled 49 to 35 computations (28.6% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (.f64 x 3) x)
0.0ms	x	@	inf	(.f64 (.f64 x 3) x)
0.0ms	x	@	inf	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
0.0ms	x	@	0	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
0.0ms	x	@	0	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

rewrite90.0ms (1.8%)

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	55
1	256	44
2	3359	36

Stop Event

1×	node limit

Counts

4 → 363

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

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

simplify132.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

347×	`log-prod_binary64`
343×	`div-sub_binary64`
316×	`fma-def_binary64`
248×	`associate-l_binary64`
237×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	606	5419
1	1436	4965
2	4970	4832

Stop Event

1×	node limit

Counts

411 → 444

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

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

rewrite55.0ms (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
(.f64 x (-.f64 (.f64 3 x) 4))
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(-.f64 (*.f64 3 x) 4)

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

Outputs

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

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

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

540×	`fma-def_binary64`
527×	`unswap-sqr_binary64`
446×	`distribute-rgt-in_binary64`
413×	`distribute-lft-in_binary64`
265×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1119
1	412	1014
2	1556	929

Stop Event

1×	node limit

Counts

99 → 112

Calls

Call 1

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

Outputs
(*.f64 -4 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(*.f64 3 (pow.f64 x 2))
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 x (fma.f64 x 3 -4))
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 x (.f64 x 9)))
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 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 x (.f64 x 9)))
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
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(fma.f64 x 3 -4)
(fma.f64 3 x -4)
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(fma.f64 1 (*.f64 x 3) -4)
(fma.f64 x 3 -4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (cbrt.f64 (.f64 x 3)) -4)
(fma.f64 x 3 -4)
(fma.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 (.f64 x 3)) -4)
(fma.f64 x 3 -4)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 12 computations (25% saved)

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)

rewrite100.0ms (2%)

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 (0.8%)

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)

eval311.0ms (6.1%)

Compiler: Compiled 11972 to 9306 computations (22.3% saved)

prune188.0ms (3.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	618	10	628
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	620	11	631

Error

Counts

631 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
▶	0.1b	(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
	2.1b	(fma.f64 3 (.f64 x (.f64 x 3)) 3)
▶	0.1b	(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
▶	19.8b	(+.f64 (*.f64 -12 x) 3)
▶	42.9b	(.f64 x (+.f64 -12 (.f64 x 9)))
	43.3b	(.f64 x (.f64 x 9))
▶	43.3b	(.f64 9 (.f64 x x))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
	19.8b	(.f64 3 (+.f64 (.f64 x -4) 1))
	19.7b	3

Compiler

Compiled 162 to 125 computations (22.8% 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))

rewrite61.0ms (1.2%)

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))))))))

simplify38.0ms (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)

rewrite38.0ms (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)))))

simplify38.0ms (0.7%)

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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (+.f64 -12 (.f64 x 9)))
0.0ms	x	@	0	(.f64 x (+.f64 -12 (.f64 x 9)))
0.0ms	x	@	-inf	(.f64 x (+.f64 -12 (.f64 x 9)))

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
759×	`add-log-exp_binary64`
759×	`log1p-expm1-u_binary64`
759×	`expm1-log1p-u_binary64`
746×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	158	8
2	2044	8

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

666×	`distribute-rgt-in_binary64`
592×	`distribute-lft-in_binary64`
550×	`associate-/r*_binary64`
307×	`fma-neg_binary64`
262×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	462
1	252	352
2	932	333
3	3240	333

Stop Event

1×	node limit

Counts

36 → 39

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
✓	0.0b	(fma.f64 -12 x 3)
✓	0.2b	(.f64 x (.f64 x 9))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

943×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
869×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	192	24
2	2376	24

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

734×	`unswap-sqr_binary64`
511×	`cancel-sign-sub-inv_binary64`
411×	`fma-neg_binary64`
394×	`difference-of-squares_binary64`
329×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1337
1	374	1242
2	1772	1202

Stop Event

1×	node limit

Counts

104 → 94

Calls

Call 1

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

eval72.0ms (1.4%)

Compiler: Compiled 3248 to 2420 computations (25.5% saved)

prune57.0ms (1.1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	225	7	232
Fresh	2	3	5
Picked	1	0	1
Done	1	4	5
Total	229	14	243

Error

Counts

243 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (*.f64 x x) 9 (fma.f64 -12 x 3))
	2.1b	(fma.f64 3 (.f64 x (.f64 x 3)) 3)
▶	48.6b	(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (+.f64 -12 (.f64 -9 x)))
	0.1b	(+.f64 (+.f64 (.f64 x -12) 3) (.f64 x (*.f64 x 9)))
▶	42.9b	(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))
	42.9b	(+.f64 (.f64 x -12) (.f64 9 (*.f64 x x)))
✓	19.8b	(+.f64 (*.f64 -12 x) 3)
	43.3b	(.f64 (.f64 9 x) x)
✓	42.9b	(.f64 x (+.f64 -12 (.f64 x 9)))
✓	43.3b	(.f64 9 (.f64 x x))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
▶	19.8b	(.f64 3 (+.f64 (.f64 x -4) 1))
▶	61.5b	(*.f64 -12 x)
	19.7b	3

Compiler

Compiled 206 to 154 computations (25.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 -12 x 3)
✓	0.1b	(fma.f64 (*.f64 x x) 9 (fma.f64 -12 x 3))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`pow1_binary64`
625×	`add-log-exp_binary64`
625×	`log1p-expm1-u_binary64`
625×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	162	12
2	1713	12

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1034×	`fma-neg_binary64`
299×	`distribute-rgt-in_binary64`
290×	`distribute-lft-in_binary64`
277×	`fma-def_binary64`
254×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	454
1	169	433
2	747	347
3	3801	324
4	7310	324

Stop Event

1×	node limit

Counts

34 → 44

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

localize3.0ms (0%)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`pow1_binary64`
713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
712×	`add-log-exp_binary64`
701×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	170	7
2	1987	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

775×	`fma-def_binary64`
573×	`distribute-rgt-in_binary64`
553×	`distribute-lft-in_binary64`
336×	`*-commutative_binary64`
324×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	273
1	199	259
2	607	245
3	2768	242

Stop Event

1×	node limit

Counts

34 → 41

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))
	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	@	0	(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))
0.0ms	x	@	inf	(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))
0.0ms	x	@	-inf	(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))

rewrite47.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
821×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2285	10

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

846×	`fma-neg_binary64`
662×	`times-frac_binary64`
378×	`fma-def_binary64`
314×	`associate-/l*_binary64`
253×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	844
1	322	701
2	1172	656
3	6767	644

Stop Event

1×	node limit

Counts

54 → 54

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 (+.f64 -12 (.f64 x 9)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 144) (.f64 x (-.f64 -12 (.f64 x 9)))) (/.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 x (-.f64 -12 (.f64 x 9)))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(.f64 (.f64 x (+.f64 -12 (*.f64 x 9))) 1)
(.f64 1 (.f64 x (+.f64 -12 (*.f64 x 9))))
(.f64 (cbrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 -12 (*.f64 x 9)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) 2) (cbrt.f64 (.f64 x (+.f64 -12 (*.f64 x 9)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 -12 (*.f64 x 9))))
(.f64 (sqrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) (sqrt.f64 (.f64 x (+.f64 -12 (*.f64 x 9)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 -12 (*.f64 x 9))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (.f64 x x) 3) 729)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x (.f64 x 9)) (-.f64 (.f64 x (.f64 x 9)) (.f64 x -12))))))
(.f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (.f64 x (.f64 x 9)) 2)) (/.f64 1 (.f64 x (-.f64 -12 (*.f64 x 9)))))
(.f64 (+.f64 -12 (.f64 x 9)) x)
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x (.f64 x 9)) (-.f64 (.f64 x (.f64 x 9)) (.f64 x -12)))) (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (*.f64 x x) 3) 729))))
(/.f64 1 (/.f64 (.f64 x (-.f64 -12 (.f64 x 9))) (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (.f64 x (.f64 x 9)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (.f64 x x) 3) 729)) (+.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x (.f64 x 9)) (-.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (.f64 x x) 3) 729)) (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (-.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x -12) (.f64 x (*.f64 x 9))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (.f64 x (.f64 x 9)) 2)) (.f64 x (-.f64 -12 (.f64 x 9))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (.f64 x x) 3) 729))) (neg.f64 (+.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x (.f64 x 9)) (-.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (.f64 x (.f64 x 9)) 2))) (neg.f64 (.f64 x (-.f64 -12 (.f64 x 9)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x x) 144)) (-.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)))
(pow.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 1)
(pow.f64 (pow.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) 3)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) 2)
(sqrt.f64 (pow.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 -12 (*.f64 x 9))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 3))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 -12 (.f64 x 9)))))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 -12 (.f64 x 9)))))
(exp.f64 (log.f64 (.f64 x (+.f64 -12 (.f64 x 9)))))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(fma.f64 x (.f64 x 9) (.f64 x -12))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(fma.f64 (.f64 x 9) x (.f64 x -12))
(fma.f64 1 (.f64 x -12) (.f64 x (*.f64 x 9)))
(fma.f64 1 (.f64 x (.f64 x 9)) (*.f64 x -12))
(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)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (+.f64 1 (.f64 x (+.f64 -12 (.f64 x 9)))) 1)
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(-.f64 (/.f64 (.f64 (.f64 x x) 144) (.f64 x (-.f64 -12 (.f64 x 9)))) (/.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 x (-.f64 -12 (.f64 x 9)))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (pow.f64 (.f64 x (.f64 x 9)) 2)) (.f64 x (-.f64 -12 (.f64 x 9))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (.f64 (pow.f64 x 4) 81)) (.f64 x (+.f64 -12 (*.f64 x -9))))
(/.f64 (-.f64 (*.f64 81 (/.f64 (pow.f64 x 4) x)) (/.f64 x 1/144)) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (/.f64 (pow.f64 x 4) x) (*.f64 x -144)) (fma.f64 x 9 12))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (.f64 x (+.f64 -12 (*.f64 x 9))) 1)
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 1 (.f64 x (+.f64 -12 (*.f64 x 9))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (cbrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 -12 (*.f64 x 9)))) 2))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) 2) (cbrt.f64 (.f64 x (+.f64 -12 (*.f64 x 9)))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 -12 (*.f64 x 9))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (sqrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) (sqrt.f64 (.f64 x (+.f64 -12 (*.f64 x 9)))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 -12 (*.f64 x 9))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (.f64 x x) 3) 729)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x (.f64 x 9)) (-.f64 (.f64 x (.f64 x 9)) (.f64 x -12))))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 144 (.f64 (.f64 x (.f64 x 9)) (.f64 x (-.f64 (.f64 x 9) -12)))) (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 (.f64 x x) 3) 729))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (+.f64 (.f64 x 144) (.f64 (.f64 x (.f64 x 9)) (fma.f64 x 9 12)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (.f64 x (+.f64 (.f64 9 (*.f64 x (fma.f64 x 9 12))) 144))))
(.f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (.f64 x (.f64 x 9)) 2)) (/.f64 1 (.f64 x (-.f64 -12 (*.f64 x 9)))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (pow.f64 (.f64 x (.f64 x 9)) 2)) (.f64 x (-.f64 -12 (.f64 x 9))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (.f64 (pow.f64 x 4) 81)) (.f64 x (+.f64 -12 (*.f64 x -9))))
(/.f64 (-.f64 (*.f64 81 (/.f64 (pow.f64 x 4) x)) (/.f64 x 1/144)) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (/.f64 (pow.f64 x 4) x) (*.f64 x -144)) (fma.f64 x 9 12))
(.f64 (+.f64 -12 (.f64 x 9)) x)
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x (.f64 x 9)) (-.f64 (.f64 x (.f64 x 9)) (.f64 x -12)))) (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (*.f64 x x) 3) 729))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 144 (.f64 (.f64 x (.f64 x 9)) (.f64 x (-.f64 (.f64 x 9) -12)))) (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 (.f64 x x) 3) 729))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (+.f64 (.f64 x 144) (.f64 (.f64 x (.f64 x 9)) (fma.f64 x 9 12)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (.f64 x (+.f64 (.f64 9 (*.f64 x (fma.f64 x 9 12))) 144))))
(/.f64 1 (/.f64 (.f64 x (-.f64 -12 (.f64 x 9))) (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (.f64 x (.f64 x 9)) 2))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (pow.f64 (.f64 x (.f64 x 9)) 2)) (.f64 x (-.f64 -12 (.f64 x 9))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (.f64 (pow.f64 x 4) 81)) (.f64 x (+.f64 -12 (*.f64 x -9))))
(/.f64 (-.f64 (*.f64 81 (/.f64 (pow.f64 x 4) x)) (/.f64 x 1/144)) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (/.f64 (pow.f64 x 4) x) (*.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (.f64 x x) 3) 729)) (+.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x (.f64 x 9)) (-.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 144 (.f64 (.f64 x (.f64 x 9)) (.f64 x (-.f64 (.f64 x 9) -12)))) (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 (.f64 x x) 3) 729))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (+.f64 (.f64 x 144) (.f64 (.f64 x (.f64 x 9)) (fma.f64 x 9 12)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (.f64 x (+.f64 (.f64 9 (*.f64 x (fma.f64 x 9 12))) 144))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (.f64 x x) 3) 729)) (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (-.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x -12) (.f64 x (*.f64 x 9))))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 144 (.f64 (.f64 x (.f64 x 9)) (.f64 x (-.f64 (.f64 x 9) -12)))) (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 (.f64 x x) 3) 729))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (+.f64 (.f64 x 144) (.f64 (.f64 x (.f64 x 9)) (fma.f64 x 9 12)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (.f64 x (+.f64 (.f64 9 (*.f64 x (fma.f64 x 9 12))) 144))))
(/.f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (.f64 x (.f64 x 9)) 2)) (.f64 x (-.f64 -12 (.f64 x 9))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (pow.f64 (.f64 x (.f64 x 9)) 2)) (.f64 x (-.f64 -12 (.f64 x 9))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (.f64 (pow.f64 x 4) 81)) (.f64 x (+.f64 -12 (*.f64 x -9))))
(/.f64 (-.f64 (*.f64 81 (/.f64 (pow.f64 x 4) x)) (/.f64 x 1/144)) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (/.f64 (pow.f64 x 4) x) (*.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) -1728) (.f64 (pow.f64 (.f64 x x) 3) 729))) (neg.f64 (+.f64 (.f64 (.f64 x x) 144) (.f64 (.f64 x (.f64 x 9)) (-.f64 (.f64 x (.f64 x 9)) (*.f64 x -12))))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 144 (.f64 (.f64 x (.f64 x 9)) (.f64 x (-.f64 (.f64 x 9) -12)))) (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 (.f64 x x) 3) 729))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (+.f64 (.f64 x 144) (.f64 (.f64 x (.f64 x 9)) (fma.f64 x 9 12)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1728 (.f64 (pow.f64 x 6) 729)) (.f64 x (.f64 x (+.f64 (.f64 9 (*.f64 x (fma.f64 x 9 12))) 144))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (.f64 x (.f64 x 9)) 2))) (neg.f64 (.f64 x (-.f64 -12 (.f64 x 9)))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (pow.f64 (.f64 x (.f64 x 9)) 2)) (.f64 x (-.f64 -12 (.f64 x 9))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (.f64 (pow.f64 x 4) 81)) (.f64 x (+.f64 -12 (*.f64 x -9))))
(/.f64 (-.f64 (*.f64 81 (/.f64 (pow.f64 x 4) x)) (/.f64 x 1/144)) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (/.f64 (pow.f64 x 4) x) (*.f64 x -144)) (fma.f64 x 9 12))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 9)) 2) (.f64 (.f64 x x) 144)) (-.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (pow.f64 (.f64 x (.f64 x 9)) 2)) (.f64 x (-.f64 -12 (.f64 x 9))))
(/.f64 (-.f64 (.f64 x (.f64 x 144)) (.f64 (pow.f64 x 4) 81)) (.f64 x (+.f64 -12 (*.f64 x -9))))
(/.f64 (-.f64 (*.f64 81 (/.f64 (pow.f64 x 4) x)) (/.f64 x 1/144)) (fma.f64 x 9 12))
(/.f64 (fma.f64 81 (/.f64 (pow.f64 x 4) x) (*.f64 x -144)) (fma.f64 x 9 12))
(pow.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 1)
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (pow.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 3) 1/3)
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) 3)
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 -12 (.f64 x 9)))) 2)
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 2))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 -12 (*.f64 x 9))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 -12 (.f64 x 9))) 3))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 -12 (.f64 x 9)))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 -12 (.f64 x 9)))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(exp.f64 (log.f64 (.f64 x (+.f64 -12 (.f64 x 9)))))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 x (.f64 x 9) (.f64 x -12))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x 9) x (.f64 x -12))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 1 (.f64 x -12) (.f64 x (*.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 1 (.f64 x (.f64 x 9)) (*.f64 x -12))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x x) 9 (.f64 x -12))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.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))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.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)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (.f64 x 3) (.f64 x 3) (*.f64 x -12))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(fma.f64 (sqrt.f64 (.f64 x -12)) (sqrt.f64 (.f64 x -12)) (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.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 -12 (*.f64 -9 x))
✓	0.1b	(.f64 (-.f64 144 (.f64 (*.f64 x x) 81)) x)
✓	0.2b	(.f64 (.f64 x x) 81)
✓	5.5b	(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (+.f64 -12 (.f64 -9 x)))

Compiler

Compiled 53 to 33 computations (37.7% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (+.f64 -12 (.f64 -9 x)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (+.f64 -12 (.f64 -9 x)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (+.f64 -12 (.f64 -9 x)))
0.0ms	x	@	inf	(.f64 (-.f64 144 (.f64 (*.f64 x x) 81)) x)
0.0ms	x	@	inf	(.f64 (.f64 x x) 81)

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`log-prod_binary64`
449×	`prod-diff_binary64`
255×	`fma-def_binary64`
241×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	298	33
2	4033	31

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

Outputs
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1 (fma.f64 x -9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) (/.f64 1 (fma.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 (.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 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (/.f64 1 (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 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 81) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 81)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 81)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 6561 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 81) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 9))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 (.f64 x x) -81 144)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 144 x) (.f64 (.f64 (.f64 x x) -81) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 144) (.f64 x (.f64 (.f64 x x) -81)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 2985984 (.f64 531441 (pow.f64 (.f64 x x) 3))) x) (+.f64 20736 (fma.f64 11664 (.f64 x x) (.f64 6561 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 20736 (.f64 6561 (pow.f64 x 4))) x) (fma.f64 x (.f64 x 81) 144))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 2985984 (.f64 531441 (pow.f64 (.f64 x x) 3)))) (+.f64 20736 (fma.f64 11664 (.f64 x x) (.f64 6561 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 20736 (.f64 6561 (pow.f64 x 4)))) (fma.f64 x (.f64 x 81) 144))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -81 144) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -81 144) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 144 x (.f64 (.f64 (.f64 x x) -81) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 144 (.f64 x (.f64 (.f64 x x) -81)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -12 (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 144 (fma.f64 x -9 -12)) (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x -9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (pow.f64 x 3) -729 -1728) (/.f64 1 (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) -81 144) (fma.f64 x -9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -9 -12) (fma.f64 (.f64 x x) -81 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144) (fma.f64 (pow.f64 x 3) -729 -1728)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 x (.f64 x 81) (-.f64 144 (.f64 108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (.f64 x x) -81 144)) (neg.f64 (fma.f64 x -9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -729 -1728)) (neg.f64 (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1728 (.f64 (pow.f64 x 3) -729)) (+.f64 144 (fma.f64 x (.f64 x 81) (.f64 108 x))))))) (#(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 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 pow.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 (.f64 x x) -81 144)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144) (fma.f64 (pow.f64 x 3) -729 -1728)) -1)))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9 -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 9) 1 -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 9)) (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 9)) (sqrt.f64 (.f64 x 9)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 81)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -9 (sqrt.f64 x)) (sqrt.f64 x) -12)))))

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-def_binary64`
623×	`unswap-sqr_binary64`
442×	`associate-/l/_binary64`
226×	`log-prod_binary64`
193×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	2222
1	750	2081
2	3007	1980

Stop Event

1×	node limit

Counts

188 → 200

Calls

Call 1

Inputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 144 x)
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
-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 0 (*.f64 x (fma.f64 x -9 -12)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12)))) (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 -12)))) 1)
(-.f64 (/.f64 144 (/.f64 (fma.f64 x -9 -12) x)) (/.f64 (.f64 x (.f64 x 81)) (/.f64 (fma.f64 x -9 -12) x)))
(*.f64 x (fma.f64 x -9 -12))
(.f64 (fma.f64 (.f64 x x) -81 144) (/.f64 1 (/.f64 (fma.f64 x -9 -12) x)))
(.f64 (fma.f64 (.f64 x x) -81 144) (*.f64 x (/.f64 1 (fma.f64 x -9 -12))))
(.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144)) (/.f64 1 (fma.f64 x -9 -12)))
(*.f64 (fma.f64 x -9 -12) x)
(.f64 (.f64 x (fma.f64 x -9 -12)) 1)
(.f64 1 (.f64 x (fma.f64 x -9 -12)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (/.f64 1 (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 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (/.f64 1 (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 (.f64 x (neg.f64 (fma.f64 (*.f64 x x) -81 144))) (/.f64 1 (neg.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 1 (fma.f64 x -9 -12)) (.f64 x (fma.f64 (*.f64 x x) -81 144)))
(*.f64 (/.f64 x 1) (fma.f64 x -9 -12))
(.f64 (/.f64 (fma.f64 (.f64 x x) -81 144) 1) (/.f64 x (fma.f64 x -9 -12)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144))) (fma.f64 x -9 -12)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 1) (/.f64 (sqrt.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144))) (fma.f64 x -9 -12)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -9 -12)) 2)) (/.f64 (fma.f64 (.f64 x x) -81 144) (cbrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 (fma.f64 (.f64 x x) -81 144) (pow.f64 (cbrt.f64 (fma.f64 x -9 -12)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -9 -12)) 2)) (/.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144)) (cbrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 2) (pow.f64 (cbrt.f64 (fma.f64 x -9 -12)) 2)) (cbrt.f64 (.f64 x (fma.f64 x -9 -12))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (pow.f64 (cbrt.f64 (fma.f64 x -9 -12)) 2)) (/.f64 (sqrt.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144))) (cbrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x -9 -12))) (/.f64 (fma.f64 (.f64 x x) -81 144) (sqrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 (fma.f64 (.f64 x x) -81 144) (sqrt.f64 (fma.f64 x -9 -12))) (/.f64 x (sqrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -9 -12))) (/.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144)) (sqrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 2) (sqrt.f64 (fma.f64 x -9 -12))) (/.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144))) (sqrt.f64 (fma.f64 x -9 -12))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) (fma.f64 (pow.f64 x 3) -729 -1728)) (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) (fma.f64 (.f64 x x) -81 144)) (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)
(pow.f64 (/.f64 1 (*.f64 x (fma.f64 x -9 -12))) -1)
(pow.f64 (/.f64 (/.f64 1 (*.f64 x (fma.f64 x -9 -12))) 1) -1)
(neg.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) (neg.f64 (fma.f64 x -9 -12))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 -12)) 2))
(log.f64 (exp.f64 (*.f64 x (fma.f64 x -9 -12))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -9 -12)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 -12)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) 3) (pow.f64 (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))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 -12))) 1))
(+.f64 0 (.f64 x (.f64 x 81)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 81) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 81)))) 1)
(pow.f64 (.f64 x (.f64 x 81)) 1)
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 3)
(pow.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 6561 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 81)))))
(cbrt.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 81))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 81))))
(exp.f64 (.f64 2 (log.f64 (.f64 x 9))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 9))) 1))
(+.f64 0 (.f64 x (fma.f64 (.f64 x x) -81 144)))
(+.f64 (.f64 144 x) (.f64 (.f64 (.f64 x x) -81) x))
(+.f64 (.f64 x 144) (.f64 x (.f64 (.f64 x x) -81)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 144)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)))) 1)
(/.f64 (.f64 (-.f64 2985984 (.f64 531441 (pow.f64 (.f64 x x) 3))) x) (+.f64 20736 (fma.f64 11664 (.f64 x x) (*.f64 6561 (pow.f64 x 4)))))
(/.f64 (.f64 (-.f64 20736 (.f64 6561 (pow.f64 x 4))) x) (fma.f64 x (*.f64 x 81) 144))
(/.f64 (.f64 x (-.f64 2985984 (.f64 531441 (pow.f64 (.f64 x x) 3)))) (+.f64 20736 (fma.f64 11664 (.f64 x x) (*.f64 6561 (pow.f64 x 4)))))
(/.f64 (.f64 x (-.f64 20736 (.f64 6561 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 81) 144))
(pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) 1)
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 3)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 2)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -81 144)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 144)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -81 144) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -81 144) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144))) 1))
(fma.f64 144 x (.f64 (.f64 (*.f64 x x) -81) x))
(fma.f64 x 144 (.f64 x (.f64 (*.f64 x x) -81)))
(-.f64 -12 (*.f64 x 9))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -9 -12))) 1)
(-.f64 (/.f64 144 (fma.f64 x -9 -12)) (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x -9 -12)))
(.f64 (fma.f64 (.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12)))
(*.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 (pow.f64 x 3) -729 -1728) (/.f64 1 (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144)))
(/.f64 (fma.f64 (*.f64 x x) -81 144) (fma.f64 x -9 -12))
(/.f64 1 (/.f64 (fma.f64 x -9 -12) (fma.f64 (*.f64 x x) -81 144)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144) (fma.f64 (pow.f64 x 3) -729 -1728)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 x (.f64 x 81) (-.f64 144 (.f64 108 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) -81 144)) (neg.f64 (fma.f64 x -9 -12)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -729 -1728)) (neg.f64 (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144)))
(/.f64 (-.f64 -1728 (.f64 (pow.f64 x 3) -729)) (+.f64 144 (fma.f64 x (.f64 x 81) (*.f64 108 x))))
(/.f64 (fma.f64 x (*.f64 x 81) -144) (fma.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)
(pow.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 (*.f64 x x) -81 144)) -1)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144) (fma.f64 (pow.f64 x 3) -729 -1728)) -1)
(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))
(fma.f64 x -9 -12)
(fma.f64 x 9 -12)
(fma.f64 -9 x -12)
(fma.f64 (*.f64 x 9) 1 -12)
(fma.f64 1 (*.f64 x 9) -12)
(fma.f64 (cbrt.f64 (.f64 x 9)) (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -12)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) -12)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -9) -12)
(fma.f64 (sqrt.f64 (.f64 x 9)) (sqrt.f64 (.f64 x 9)) -12)
(fma.f64 9 x -12)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 81)) -12)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -9) -12)
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) -12)
(fma.f64 (*.f64 -9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -12)
(fma.f64 (*.f64 -9 (sqrt.f64 x)) (sqrt.f64 x) -12)

Outputs
(*.f64 -12 x)
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -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))
(*.f64 144 x)
(*.f64 x 144)
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 144))
(fma.f64 x 144 (*.f64 -81 (pow.f64 x 3)))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 144))
(fma.f64 x 144 (*.f64 -81 (pow.f64 x 3)))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 144))
(fma.f64 x 144 (*.f64 -81 (pow.f64 x 3)))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 144))
(fma.f64 x 144 (*.f64 -81 (pow.f64 x 3)))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 144))
(fma.f64 x 144 (*.f64 -81 (pow.f64 x 3)))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 144))
(fma.f64 x 144 (*.f64 -81 (pow.f64 x 3)))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 144))
(fma.f64 x 144 (*.f64 -81 (pow.f64 x 3)))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 144))
(fma.f64 x 144 (*.f64 -81 (pow.f64 x 3)))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 144 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 144))
(fma.f64 x 144 (*.f64 -81 (pow.f64 x 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 0 (*.f64 x (fma.f64 x -9 -12)))
(*.f64 x (fma.f64 x -9 -12))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12)))) (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 -12))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 -12))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 -12)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 -12))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 -12)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 -12)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (fma.f64 x -9 -12))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 -12)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 -12)))) 1)
(*.f64 x (fma.f64 x -9 -12))
(-.f64 (/.f64 144 (/.f64 (fma.f64 x -9 -12) x)) (/.f64 (.f64 x (.f64 x 81)) (/.f64 (fma.f64 x -9 -12) x)))
(-.f64 (.f64 (/.f64 144 (fma.f64 x -9 -12)) x) (.f64 (/.f64 (.f64 x (.f64 x 81)) (fma.f64 x -9 -12)) x))
(.f64 x (-.f64 (/.f64 144 (fma.f64 x -9 -12)) (.f64 (*.f64 x 81) (/.f64 x (fma.f64 x -9 -12)))))
(fma.f64 x (/.f64 144 (fma.f64 x -9 -12)) (/.f64 -81 (/.f64 (fma.f64 x -9 -12) (pow.f64 x 3))))
(*.f64 x (fma.f64 x -9 -12))
(.f64 (fma.f64 (.f64 x x) -81 144) (/.f64 1 (/.f64 (fma.f64 x -9 -12) x)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 (fma.f64 x (.f64 x -81) 144) (/.f64 x (fma.f64 x -9 -12)))
(.f64 (fma.f64 (.f64 x x) -81 144) (*.f64 x (/.f64 1 (fma.f64 x -9 -12))))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 (fma.f64 x (.f64 x -81) 144) (/.f64 x (fma.f64 x -9 -12)))
(.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144)) (/.f64 1 (fma.f64 x -9 -12)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 (fma.f64 x (.f64 x -81) 144) (/.f64 x (fma.f64 x -9 -12)))
(*.f64 (fma.f64 x -9 -12) x)
(*.f64 x (fma.f64 x -9 -12))
(.f64 (.f64 x (fma.f64 x -9 -12)) 1)
(*.f64 x (fma.f64 x -9 -12))
(.f64 1 (.f64 x (fma.f64 x -9 -12)))
(*.f64 x (fma.f64 x -9 -12))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 (fma.f64 x (.f64 x -81) 144) (/.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 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))))
(*.f64 x (fma.f64 x -9 -12))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 (fma.f64 x (.f64 x -81) 144) (/.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 x (fma.f64 x -9 -12))
(.f64 (.f64 x (neg.f64 (fma.f64 (*.f64 x x) -81 144))) (/.f64 1 (neg.f64 (fma.f64 x -9 -12))))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 (fma.f64 x (.f64 x -81) 144) (/.f64 x (fma.f64 x -9 -12)))
(.f64 (/.f64 1 (fma.f64 x -9 -12)) (.f64 x (fma.f64 (*.f64 x x) -81 144)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 (fma.f64 x (.f64 x -81) 144) (/.f64 x (fma.f64 x -9 -12)))
(*.f64 (/.f64 x 1) (fma.f64 x -9 -12))
(*.f64 x (fma.f64 x -9 -12))
(.f64 (/.f64 (fma.f64 (.f64 x x) -81 144) 1) (/.f64 x (fma.f64 x -9 -12)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12))))
(.f64 (fma.f64 x (.f64 x -81) 144) (/.f64 x (fma.f64 x -9 -12)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 144))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) -81 144))) (fma.f64 x -9 -12)))
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(/.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -729 -1728) 1) (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 x (.f64 x 81) (-.f64 144 (.f64 108 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 x (.f64 x 81) (+.f64 144 (.f64 -108 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (+.f64 (fma.f64 x (.f64 x 81) 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 (neg.f64 (fma.f64 (*.f64 x x) -81 144)) (neg.f64 (fma.f64 x -9 -12)))
(.f64 (fma.f64 (.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12)))
(/.f64 (fma.f64 x (*.f64 x -81) 144) (fma.f64 x -9 -12))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -729 -1728)) (neg.f64 (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -729 -1728) 1) (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144))
(/.f64 (-.f64 -1728 (.f64 (pow.f64 x 3) -729)) (+.f64 144 (fma.f64 x (.f64 x 81) (*.f64 108 x))))
(/.f64 (-.f64 -1728 (.f64 (pow.f64 x 3) -729)) (+.f64 144 (fma.f64 x (.f64 x 81) (*.f64 x 108))))
(/.f64 (+.f64 -1728 (.f64 (pow.f64 x 3) 729)) (+.f64 144 (.f64 x (+.f64 (*.f64 x 81) 108))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 -1728) (fma.f64 x (fma.f64 x 81 108) 144))
(/.f64 (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)
(pow.f64 (/.f64 (fma.f64 x -9 -12) (fma.f64 (*.f64 x x) -81 144)) -1)
(.f64 (fma.f64 (.f64 x x) -81 144) (/.f64 1 (fma.f64 x -9 -12)))
(/.f64 (fma.f64 x (*.f64 x -81) 144) (fma.f64 x -9 -12))
(pow.f64 (/.f64 (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144) (fma.f64 (pow.f64 x 3) -729 -1728)) -1)
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -729 -1728) 1) (fma.f64 (.f64 x 9) (fma.f64 x -9 12) 144))
(/.f64 (fma.f64 (pow.f64 x 3) -729 -1728) (fma.f64 (*.f64 x 9) (fma.f64 x -9 12) 144))
(sqrt.f64 (pow.f64 (fma.f64 x -9 -12) 2))
(fma.f64 x -9 -12)
(log.f64 (exp.f64 (fma.f64 x -9 -12)))
(fma.f64 x -9 -12)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -9 -12))))
(fma.f64 x -9 -12)
(cbrt.f64 (pow.f64 (fma.f64 x -9 -12) 3))
(fma.f64 x -9 -12)
(expm1.f64 (log1p.f64 (fma.f64 x -9 -12)))
(fma.f64 x -9 -12)
(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)
(exp.f64 (*.f64 (log.f64 (fma.f64 x -9 -12)) 1))
(fma.f64 x -9 -12)
(fma.f64 x -9 -12)
(fma.f64 x 9 -12)
(fma.f64 -9 x -12)
(fma.f64 x -9 -12)
(fma.f64 (*.f64 x 9) 1 -12)
(fma.f64 x 9 -12)
(fma.f64 1 (*.f64 x 9) -12)
(fma.f64 x 9 -12)
(fma.f64 (cbrt.f64 (.f64 x 9)) (pow.f64 (cbrt.f64 (.f64 x 9)) 2) -12)
(fma.f64 x 9 -12)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) -12)
(fma.f64 x 9 -12)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -9) -12)
(fma.f64 x -9 -12)
(fma.f64 (sqrt.f64 (.f64 x 9)) (sqrt.f64 (.f64 x 9)) -12)
(fma.f64 x 9 -12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 81)) -12)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -9) -12)
(fma.f64 x -9 -12)
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) -12)
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4)))) (fabs.f64 (cbrt.f64 (.f64 x 9))) -12)
(fma.f64 (cbrt.f64 (.f64 x 9)) (sqrt.f64 (cbrt.f64 (.f64 6561 (pow.f64 x 4)))) -12)
(fma.f64 (*.f64 -9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -12)
(fma.f64 x -9 -12)
(fma.f64 (*.f64 -9 (sqrt.f64 x)) (sqrt.f64 x) -12)
(fma.f64 x -9 -12)

eval132.0ms (2.6%)

Compiler: Compiled 6235 to 4432 computations (28.9% saved)

prune57.0ms (1.1%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	382	3	385
Fresh	1	4	5
Picked	1	0	1
Done	1	7	8
Total	385	14	399

Error

Counts

399 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (.f64 x x) 9 (+.f64 (.f64 x -12) 3))
	2.1b	(fma.f64 3 (.f64 x (.f64 x 3)) 3)
▶	50.3b	(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (.f64 x -9))
▶	0.1b	(+.f64 (+.f64 (.f64 (.f64 x x) 9) (*.f64 x -12)) 3)
✓	42.9b	(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))
▶	42.9b	(+.f64 (.f64 x -12) (.f64 9 (*.f64 x x)))
✓	19.8b	(+.f64 (*.f64 -12 x) 3)
▶	43.3b	(.f64 (.f64 9 x) x)
✓	42.9b	(.f64 x (+.f64 -12 (.f64 x 9)))
✓	43.3b	(.f64 9 (.f64 x x))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
✓	19.8b	(.f64 3 (+.f64 (.f64 x -4) 1))
✓	61.5b	(*.f64 -12 x)
	19.7b	3

Compiler

Compiled 182 to 135 computations (25.8% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x -12) 3)
✓	0.1b	(fma.f64 (.f64 x x) 9 (+.f64 (.f64 x -12) 3))

Compiler

Compiled 26 to 17 computations (34.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`pow1_binary64`
817×	`add-log-exp_binary64`
817×	`log1p-expm1-u_binary64`
817×	`expm1-log1p-u_binary64`
803×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	192	17
2	2210	17

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg_binary64`
582×	`fma-def_binary64`
356×	`distribute-rgt-in_binary64`
335×	`distribute-lft-in_binary64`
335×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	886
1	341	747
2	1418	709
3	7007	706

Stop Event

1×	node limit

Counts

79 → 83

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))))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (*.f64 -12 x) 3)
(+.f64 (*.f64 -12 x) 3)
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(+.f64 3 (*.f64 -12 x))
(+.f64 (fma.f64 x -12 3) (.f64 x (.f64 x 9)))
(+.f64 (.f64 x (.f64 x 9)) (fma.f64 x -12 3))
(+.f64 (.f64 (.f64 x (*.f64 x 9)) 1) (fma.f64 x -12 3))
(+.f64 (+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)) 3)
(+.f64 (+.f64 (.f64 x (.f64 x 9)) 3) (*.f64 x -12))
(-.f64 (+.f64 1 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))) 1)
(.f64 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3)) 1)
(.f64 1 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3)))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3))) (sqrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) (pow.f64 (fma.f64 x -12 3) 3)) (+.f64 (.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9))) (-.f64 (pow.f64 (fma.f64 x -12 3) 2) (.f64 (.f64 x (.f64 x 9)) (fma.f64 x -12 3)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9))) (pow.f64 (fma.f64 x -12 3) 2)) (-.f64 (.f64 x (*.f64 x 9)) (fma.f64 x -12 3)))
(pow.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) 1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(-.f64 (+.f64 1 (fma.f64 x -12 3)) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 144) (fma.f64 x -12 -3)) (/.f64 9 (fma.f64 x -12 -3)))
(*.f64 (fma.f64 x -12 3) 1)
(*.f64 1 (fma.f64 x -12 3))
(*.f64 (cbrt.f64 (fma.f64 x -12 3)) (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2) (cbrt.f64 (fma.f64 x -12 3)))
(*.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)))
(.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 144) (-.f64 9 (*.f64 x -36)))))
(.f64 (+.f64 (.f64 (*.f64 x x) 144) -9) (/.f64 1 (fma.f64 x -12 -3)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 144) (-.f64 9 (.f64 x -36))) (+.f64 27 (.f64 -1728 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 x -12 -3) (+.f64 (.f64 (.f64 x x) 144) -9)))
(/.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) 144) (-.f64 9 (.f64 x -36))))
(/.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (+.f64 9 (-.f64 (.f64 (.f64 x x) 144) (.f64 x -36))))
(/.f64 (+.f64 (.f64 (.f64 x x) 144) -9) (fma.f64 x -12 -3))
(/.f64 (neg.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 144) (-.f64 9 (.f64 x -36)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 144) -9)) (neg.f64 (fma.f64 x -12 -3)))
(/.f64 (-.f64 9 (.f64 (.f64 x x) 144)) (-.f64 3 (*.f64 x -12)))
(pow.f64 (fma.f64 x -12 3) 1)
(pow.f64 (pow.f64 (fma.f64 x -12 3) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -12 3)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -12 3) 2))
(log.f64 (exp.f64 (fma.f64 x -12 3)))
(cbrt.f64 (pow.f64 (fma.f64 x -12 3) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -12 3)))
(log1p.f64 (expm1.f64 (fma.f64 x -12 3)))
(exp.f64 (log.f64 (fma.f64 x -12 3)))
(fma.f64 x -12 3)
(fma.f64 -12 x 3)
(fma.f64 1 (*.f64 x -12) 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -12)) 2) (cbrt.f64 (.f64 x -12)) 3)
(fma.f64 (sqrt.f64 (.f64 x -12)) (sqrt.f64 (.f64 x -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))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.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))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(.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))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(*.f64 -12 x)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 3 (*.f64 -12 x))
(fma.f64 -12 x 3)
(+.f64 (fma.f64 x -12 3) (.f64 x (.f64 x 9)))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 x (.f64 x 9)) (fma.f64 x -12 3))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 (.f64 x (*.f64 x 9)) 1) (fma.f64 x -12 3))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (+.f64 (.f64 x (.f64 x 9)) (*.f64 x -12)) 3)
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (+.f64 (.f64 x (.f64 x 9)) 3) (*.f64 x -12))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(-.f64 (+.f64 1 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))) 1)
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(.f64 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3)) 1)
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(.f64 1 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3)))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))) 2))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) 9 (fma.f64 x -12 3))) (sqrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) (pow.f64 (fma.f64 x -12 3) 3)) (+.f64 (.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9))) (-.f64 (pow.f64 (fma.f64 x -12 3) 2) (.f64 (.f64 x (.f64 x 9)) (fma.f64 x -12 3)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 9)) 3) (pow.f64 (fma.f64 -12 x 3) 3)) (fma.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9)) (-.f64 (pow.f64 (fma.f64 -12 x 3) 2) (.f64 x (.f64 (*.f64 x 9) (fma.f64 -12 x 3))))))
(/.f64 (+.f64 (.f64 729 (pow.f64 (.f64 x x) 3)) (pow.f64 (fma.f64 -12 x 3) 3)) (fma.f64 x (.f64 x (.f64 (.f64 x x) 81)) (.f64 (fma.f64 -12 x 3) (-.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9))))))
(/.f64 (fma.f64 729 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 -12 x 3) 3)) (fma.f64 (fma.f64 -12 x 3) (+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x -9))) (.f64 81 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9))) (pow.f64 (fma.f64 x -12 3) 2)) (-.f64 (.f64 x (*.f64 x 9)) (fma.f64 x -12 3)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9)) (.f64 x (.f64 x 9))) (pow.f64 (fma.f64 -12 x 3) 2)) (-.f64 (.f64 x (*.f64 x 9)) (fma.f64 -12 x 3)))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 81))) (pow.f64 (fma.f64 -12 x 3) 2)) (fma.f64 9 (.f64 x x) (+.f64 -3 (.f64 x 12))))
(/.f64 (fma.f64 81 (pow.f64 x 4) (neg.f64 (pow.f64 (fma.f64 -12 x 3) 2))) (fma.f64 x (*.f64 x 9) (fma.f64 x 12 -3)))
(/.f64 (fma.f64 81 (pow.f64 x 4) (neg.f64 (pow.f64 (fma.f64 -12 x 3) 2))) (fma.f64 x (fma.f64 x 9 12) -3))
(pow.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) 1)
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) 3) 1/3)
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))) 3)
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))) 2)
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) 2))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3)) 3))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))
(fma.f64 -12 x (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(-.f64 (+.f64 1 (fma.f64 x -12 3)) 1)
(fma.f64 -12 x 3)
(-.f64 (/.f64 (.f64 (.f64 x x) 144) (fma.f64 x -12 -3)) (/.f64 9 (fma.f64 x -12 -3)))
(-.f64 (/.f64 (.f64 x (.f64 x 144)) (fma.f64 x -12 -3)) (/.f64 9 (fma.f64 x -12 -3)))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 -12 x -3)) 144) (/.f64 -9 (fma.f64 -12 x -3)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 -12 x -3) x)) 144 (/.f64 9 (fma.f64 x 12 3)))
(fma.f64 (/.f64 x (fma.f64 -12 x -3)) (*.f64 x 144) (/.f64 9 (fma.f64 x 12 3)))
(*.f64 (fma.f64 x -12 3) 1)
(fma.f64 -12 x 3)
(*.f64 1 (fma.f64 x -12 3))
(fma.f64 -12 x 3)
(*.f64 (cbrt.f64 (fma.f64 x -12 3)) (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2))
(fma.f64 -12 x 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 2) (cbrt.f64 (fma.f64 x -12 3)))
(fma.f64 -12 x 3)
(*.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)))
(fma.f64 -12 x 3)
(.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 144) (-.f64 9 (*.f64 x -36)))))
(.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x x) 144 (-.f64 9 (.f64 x -36)))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (+.f64 9 (.f64 x (-.f64 (.f64 x 144) -36))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (fma.f64 x (fma.f64 x 144 36) 9))
(.f64 (+.f64 (.f64 (*.f64 x x) 144) -9) (/.f64 1 (fma.f64 x -12 -3)))
(.f64 (fma.f64 (.f64 x x) 144 -9) (/.f64 1 (fma.f64 x -12 -3)))
(/.f64 (fma.f64 x (*.f64 x 144) -9) (fma.f64 -12 x -3))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 144) (-.f64 9 (.f64 x -36))) (+.f64 27 (.f64 -1728 (pow.f64 x 3)))))
(.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x x) 144 (-.f64 9 (.f64 x -36)))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (+.f64 9 (.f64 x (-.f64 (.f64 x 144) -36))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (fma.f64 x (fma.f64 x 144 36) 9))
(/.f64 1 (/.f64 (fma.f64 x -12 -3) (+.f64 (.f64 (.f64 x x) 144) -9)))
(.f64 (fma.f64 (.f64 x x) 144 -9) (/.f64 1 (fma.f64 x -12 -3)))
(/.f64 (fma.f64 x (*.f64 x 144) -9) (fma.f64 -12 x -3))
(/.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) 144) (-.f64 9 (.f64 x -36))))
(.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x x) 144 (-.f64 9 (.f64 x -36)))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (+.f64 9 (.f64 x (-.f64 (.f64 x 144) -36))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (fma.f64 x (fma.f64 x 144 36) 9))
(/.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (+.f64 9 (-.f64 (.f64 (.f64 x x) 144) (.f64 x -36))))
(.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x x) 144 (-.f64 9 (.f64 x -36)))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (+.f64 9 (.f64 x (-.f64 (.f64 x 144) -36))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (fma.f64 x (fma.f64 x 144 36) 9))
(/.f64 (+.f64 (.f64 (.f64 x x) 144) -9) (fma.f64 x -12 -3))
(.f64 (fma.f64 (.f64 x x) 144 -9) (/.f64 1 (fma.f64 x -12 -3)))
(/.f64 (fma.f64 x (*.f64 x 144) -9) (fma.f64 -12 x -3))
(/.f64 (neg.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 144) (-.f64 9 (.f64 x -36)))))
(.f64 (+.f64 27 (.f64 -1728 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x x) 144 (-.f64 9 (.f64 x -36)))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (+.f64 9 (.f64 x (-.f64 (.f64 x 144) -36))))
(/.f64 (fma.f64 -1728 (pow.f64 x 3) 27) (fma.f64 x (fma.f64 x 144 36) 9))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 144) -9)) (neg.f64 (fma.f64 x -12 -3)))
(.f64 (fma.f64 (.f64 x x) 144 -9) (/.f64 1 (fma.f64 x -12 -3)))
(/.f64 (fma.f64 x (*.f64 x 144) -9) (fma.f64 -12 x -3))
(/.f64 (-.f64 9 (.f64 (.f64 x x) 144)) (-.f64 3 (*.f64 x -12)))
(.f64 (fma.f64 (.f64 x x) 144 -9) (/.f64 1 (fma.f64 x -12 -3)))
(/.f64 (fma.f64 x (*.f64 x 144) -9) (fma.f64 -12 x -3))
(pow.f64 (fma.f64 x -12 3) 1)
(fma.f64 -12 x 3)
(pow.f64 (pow.f64 (fma.f64 x -12 3) 3) 1/3)
(fma.f64 -12 x 3)
(pow.f64 (cbrt.f64 (fma.f64 x -12 3)) 3)
(fma.f64 -12 x 3)
(pow.f64 (sqrt.f64 (fma.f64 x -12 3)) 2)
(fma.f64 -12 x 3)
(sqrt.f64 (pow.f64 (fma.f64 x -12 3) 2))
(fma.f64 -12 x 3)
(log.f64 (exp.f64 (fma.f64 x -12 3)))
(fma.f64 -12 x 3)
(cbrt.f64 (pow.f64 (fma.f64 x -12 3) 3))
(fma.f64 -12 x 3)
(expm1.f64 (log1p.f64 (fma.f64 x -12 3)))
(fma.f64 -12 x 3)
(log1p.f64 (expm1.f64 (fma.f64 x -12 3)))
(fma.f64 -12 x 3)
(exp.f64 (log.f64 (fma.f64 x -12 3)))
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(fma.f64 -12 x 3)
(fma.f64 -12 x 3)
(fma.f64 1 (*.f64 x -12) 3)
(fma.f64 -12 x 3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -12)) 2) (cbrt.f64 (.f64 x -12)) 3)
(fma.f64 -12 x 3)
(fma.f64 (sqrt.f64 (.f64 x -12)) (sqrt.f64 (.f64 x -12)) 3)
(fma.f64 -12 x 3)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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

rewrite34.0ms (0.7%)

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

472×	`associate-l_binary64`
422×	`associate-r_binary64`
372×	`associate-*l/_binary64`
276×	`fma-neg_binary64`
230×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	216
1	102	206
2	339	191
3	2981	191
4	4970	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 (.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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 9 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 9 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 3 x) 2)
(sqrt.f64 (pow.f64 (.f64 9 (.f64 x x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 9 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 3 x))))

Outputs
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 0 (.f64 9 (.f64 x x)))
(.f64 9 (.f64 x x))
(+.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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 9 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 9 x)))))
(.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 3 x) 2)
(.f64 9 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 9 (.f64 x x)) 2))
(.f64 9 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 9 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 3 x))))
(.f64 9 (.f64 x x))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`pow1_binary64`
809×	`add-log-exp_binary64`
809×	`log1p-expm1-u_binary64`
809×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	175	10
2	2257	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 -12 (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 144) (*.f64 x (-.f64 -12 (*.f64 x 9)))) (/.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (-.f64 -12 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 -12 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 -12 (*.f64 x 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 -12 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 -12 (*.f64 x 9)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 -12 (*.f64 x 9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 -12 (*.f64 x 9)))) 2) (cbrt.f64 (*.f64 x (+.f64 -12 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) -1728) (*.f64 729 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (*.f64 -12 (*.f64 9 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 81 (pow.f64 x 4))) (/.f64 1 (*.f64 x (-.f64 -12 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (*.f64 -12 (*.f64 9 (*.f64 x x)))))) (+.f64 (*.f64 (pow.f64 x 3) -1728) (*.f64 729 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 -12 (*.f64 x 9))) (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 81 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) -1728) (*.f64 729 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (*.f64 -12 (*.f64 9 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) -1728) (*.f64 729 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 81 (pow.f64 x 4)) (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 x (*.f64 -12 (*.f64 9 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 81 (pow.f64 x 4))) (*.f64 x (-.f64 -12 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1728) (*.f64 729 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (*.f64 -12 (*.f64 9 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 81 (pow.f64 x 4)))) (neg.f64 (*.f64 x (-.f64 -12 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 144)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 -12 (*.f64 x 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 -12 (*.f64 x 9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 -12 (*.f64 x 9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 -12 (*.f64 x 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 -12 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 -12 (*.f64 x 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 -12 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 -12 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 -12 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (*.f64 x -12))))) (#(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 1 (*.f64 x -12) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (*.f64 x x)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (cbrt.f64 (*.f64 9 (*.f64 x x))) (*.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 9 (*.f64 x x)))))) (#(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 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 9) x (*.f64 x -12))))))

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-neg_binary64`
395×	`distribute-rgt-neg-in_binary64`
393×	`div-sub_binary64`
342×	`distribute-lft-neg-in_binary64`
287×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	746
1	309	689
2	1084	656
3	4821	616

Stop Event

1×	node limit

Counts

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 21 computations (41.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`pow1_binary64`
803×	`add-log-exp_binary64`
803×	`log1p-expm1-u_binary64`
803×	`expm1-log1p-u_binary64`
787×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	175	17
2	2244	17

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729))))) (#(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 (log.f64 (*.f64 x (*.f64 x 9))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 x 9) -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 81) (*.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 (+.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 -12 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 x 9) -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 (*.f64 x 9) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x 9) -12))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x 9) -12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x 9) -12))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729) (pow.f64 (*.f64 x -12) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 81) (*.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 x 4) 81) (*.f64 (*.f64 x x) 144)) (/.f64 1 (*.f64 x (-.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.f64 x (*.f64 x 9))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729) (pow.f64 (*.f64 x -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 x 9) -12)) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729) (pow.f64 (*.f64 x -12) 3)) (+.f64 (*.f64 (pow.f64 x 4) 81) (*.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) (pow.f64 (*.f64 x -12) 3)) (+.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 x (*.f64 (*.f64 x 9) (*.f64 x -12))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 81) (*.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) (pow.f64 (*.f64 x -12) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (*.f64 x -12) (-.f64 (*.f64 x -12) (*.f64 x (*.f64 x 9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 81) (*.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) (*.f64 (pow.f64 x 4) 81)) (-.f64 (*.f64 x -12) (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (*.f64 x 9) -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x 9) -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 x 9) -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (*.f64 x -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x 9) -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 x 9) -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x 9) -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 x (*.f64 x 9) (*.f64 x -12))))) (#(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 9 (*.f64 x 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 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (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)))))))

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-neg_binary64`
441×	`fma-def_binary64`
409×	`div-sub_binary64`
349×	`times-frac_binary64`
332×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	892
1	346	844
2	1237	815
3	5774	793

Stop Event

1×	node limit

Counts

75 → 69

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

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 (-.f64 144 (.f64 (*.f64 x x) 81)) x)
	0.2b	(.f64 (.f64 x x) 81)
✓	5.4b	(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (.f64 x -9))

Compiler

Compiled 45 to 26 computations (42.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
367×	`pow-prod-down_binary64`
298×	`pow2_binary64`
250×	`pow-unpow_binary64`
208×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	253	19
2	3600	11

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (.f64 x -9))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -16 (/.f64 (*.f64 (*.f64 x x) 81) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 x (*.f64 x 81) 144) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 81) 144) (*.f64 x (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) 2) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) (neg.f64 x)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 81) 144) x) (*.f64 x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/9) (/.f64 (fma.f64 x (*.f64 x 81) 144) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) (*.f64 x (fma.f64 x (*.f64 x 81) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 81) 144) 1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 81) 144) 1) (/.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (fma.f64 x (*.f64 x 81) 144) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) 2) x) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) x) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) -9) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 (fma.f64 x (*.f64 x 81) 144) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) 2) -9) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 81) 144) (*.f64 x -9)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 81))) (/.f64 (fma.f64 x (*.f64 x 81) 144) (cbrt.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 81) 144) (cbrt.f64 (*.f64 (*.f64 x x) 81))) (/.f64 x (cbrt.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -9)) -2) (/.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144)) (cbrt.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) 2) (cbrt.f64 (*.f64 (*.f64 x x) 81))) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) (cbrt.f64 (*.f64 (*.f64 x x) 81))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) (cbrt.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 x -9))) (/.f64 (fma.f64 x (*.f64 x 81) 144) (sqrt.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 81) 144) (sqrt.f64 (*.f64 x -9))) (/.f64 x (sqrt.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -9) -1/2) (/.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144)) (sqrt.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) 2) (sqrt.f64 (*.f64 x -9))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144))) (sqrt.f64 (*.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) 144) 2) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -9 (fma.f64 x (*.f64 x 81) 144)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144)) 3) (pow.f64 (*.f64 x -9) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -9 (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) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) 144) 2) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 81) 144)) 3) (pow.f64 (*.f64 x -9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) 1))))))

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

897×	`times-frac_binary64`
660×	`associate-/l*_binary64`
319×	`associate-/r*_binary64`
226×	`distribute-rgt-in_binary64`
223×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	159	989
1	406	946
2	1363	946

Stop Event

1×	node limit

Counts

72 → 83

Calls

Call 1

Inputs
-16
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(*.f64 9 (pow.f64 x 2))
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(+.f64 0 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))) 1)
(-.f64 -16 (/.f64 (.f64 (.f64 x x) 81) -9))
(.f64 x (.f64 (fma.f64 x (*.f64 x 81) 144) (/.f64 -1/9 x)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (fma.f64 x (.f64 x 81) 144) (*.f64 x (/.f64 -1/9 x)))
(.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144)) (/.f64 -1/9 x))
(.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9) 1)
(.f64 1 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9))
(.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) 2) (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (/.f64 -1/9 x)))
(.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) (sqrt.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (/.f64 -1/9 x)))
(.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) (neg.f64 x)) (/.f64 -1/9 x))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) x) (*.f64 x -1/9))
(.f64 (.f64 x -1/9) (/.f64 (fma.f64 x (*.f64 x 81) 144) x))
(.f64 (/.f64 -1/9 x) (.f64 x (fma.f64 x (*.f64 x 81) 144)))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) 1) -1/9)
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) 1) (/.f64 x (*.f64 x -9)))
(.f64 (/.f64 1 x) (/.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144)) -9))
(.f64 (/.f64 x 1) (/.f64 (fma.f64 x (.f64 x 81) 144) (*.f64 x -9)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) x) (/.f64 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144))) -9))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) x) (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144))) -9))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) -9) (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144))) x))
(.f64 -1/9 (/.f64 (fma.f64 x (.f64 x 81) 144) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) -9) (/.f64 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144))) x))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (*.f64 x -9)) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (.f64 x -9)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 1) (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (.f64 x -9)))
(.f64 (/.f64 x (cbrt.f64 (.f64 (.f64 x x) 81))) (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (*.f64 x -9))))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (.f64 (.f64 x x) 81))) (/.f64 x (cbrt.f64 (*.f64 x -9))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) -2) (/.f64 (.f64 x (fma.f64 x (.f64 x 81) 144)) (cbrt.f64 (*.f64 x -9))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) (cbrt.f64 (.f64 (.f64 x x) 81))) (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (cbrt.f64 (.f64 (.f64 x x) 81))) (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (cbrt.f64 (.f64 x -9))))
(.f64 (/.f64 x (sqrt.f64 (.f64 x -9))) (/.f64 (fma.f64 x (.f64 x 81) 144) (sqrt.f64 (.f64 x -9))))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (sqrt.f64 (.f64 x -9))) (/.f64 x (sqrt.f64 (.f64 x -9))))
(.f64 (pow.f64 (.f64 x -9) -1/2) (/.f64 (.f64 x (fma.f64 x (.f64 x 81) 144)) (sqrt.f64 (*.f64 x -9))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) (sqrt.f64 (.f64 x -9))) (/.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (sqrt.f64 (*.f64 x -9))))
(pow.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9) 1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) 144) 2) 81) 1/2)
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) 3)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) 2)
(pow.f64 (/.f64 -9 (fma.f64 x (*.f64 x 81) 144)) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 81) 144)) 3) (pow.f64 (*.f64 x -9) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 -9 (fma.f64 x (*.f64 x 81) 144)) 1) -1)
(neg.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) 144) 2) 81))
(log.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 81) 144)) 3) (pow.f64 (*.f64 x -9) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))
(exp.f64 (log.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) 1))

Outputs
-16
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(fma.f64 9 (*.f64 x x) -16)
(fma.f64 x (*.f64 9 x) -16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(fma.f64 9 (*.f64 x x) -16)
(fma.f64 x (*.f64 9 x) -16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(fma.f64 9 (*.f64 x x) -16)
(fma.f64 x (*.f64 9 x) -16)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(fma.f64 9 (*.f64 x x) -16)
(fma.f64 x (*.f64 9 x) -16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(fma.f64 9 (*.f64 x x) -16)
(fma.f64 x (*.f64 9 x) -16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(fma.f64 9 (*.f64 x x) -16)
(fma.f64 x (*.f64 9 x) -16)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(fma.f64 9 (*.f64 x x) -16)
(fma.f64 x (*.f64 9 x) -16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(fma.f64 9 (*.f64 x x) -16)
(fma.f64 x (*.f64 9 x) -16)
(-.f64 (*.f64 9 (pow.f64 x 2)) 16)
(fma.f64 9 (*.f64 x x) -16)
(fma.f64 x (*.f64 9 x) -16)
(+.f64 0 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/9) (fma.f64 x (.f64 x 81) 144)))))
(.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/9) (fma.f64 x (.f64 x 81) 144)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/9) (fma.f64 x (.f64 x 81) 144)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))) 1)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(-.f64 -16 (/.f64 (.f64 (.f64 x x) 81) -9))
(-.f64 -16 (/.f64 (*.f64 x x) -1/9))
(-.f64 -16 (/.f64 x (/.f64 -1/9 x)))
(.f64 x (.f64 (fma.f64 x (*.f64 x 81) 144) (/.f64 -1/9 x)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (fma.f64 x (.f64 x 81) 144) (*.f64 x (/.f64 -1/9 x)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144)) (/.f64 -1/9 x))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9) 1)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 1 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) 2))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) 2) (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (/.f64 -1/9 x)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) (sqrt.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (/.f64 -1/9 x)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) (neg.f64 x)) (/.f64 -1/9 x))
(.f64 (/.f64 -1/9 x) (.f64 (fma.f64 x (*.f64 x 81) 144) (neg.f64 x)))
(.f64 (fma.f64 x (.f64 x 81) 144) 1/9)
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) x) (*.f64 x -1/9))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (.f64 x -1/9) (/.f64 (fma.f64 x (*.f64 x 81) 144) x))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 -1/9 x) (.f64 x (fma.f64 x (*.f64 x 81) 144)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) 1) -1/9)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) 1) (/.f64 x (*.f64 x -9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 1 x) (/.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144)) -9))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 x 1) (/.f64 (fma.f64 x (.f64 x 81) 144) (*.f64 x -9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) x) (/.f64 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144))) -9))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) x) (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144))) -9))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) -9) (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144))) x))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 -1/9 (/.f64 (fma.f64 x (.f64 x 81) 144) 1))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) -9) (/.f64 (cbrt.f64 (.f64 x (fma.f64 x (*.f64 x 81) 144))) x))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (*.f64 x -9)) x)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (.f64 x -9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 1) (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (.f64 x -9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(.f64 (/.f64 x (cbrt.f64 (.f64 (.f64 x x) 81))) (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (*.f64 x -9))))
(.f64 (/.f64 x (cbrt.f64 (.f64 x (.f64 x 81)))) (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (*.f64 x -9))))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (.f64 x (.f64 x 81)))) (/.f64 x (cbrt.f64 (*.f64 x -9))))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (.f64 (.f64 x x) 81))) (/.f64 x (cbrt.f64 (*.f64 x -9))))
(.f64 (/.f64 x (cbrt.f64 (.f64 x (.f64 x 81)))) (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (*.f64 x -9))))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (.f64 x (.f64 x 81)))) (/.f64 x (cbrt.f64 (*.f64 x -9))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) -2) (/.f64 (.f64 x (fma.f64 x (.f64 x 81) 144)) (cbrt.f64 (*.f64 x -9))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) -2) (/.f64 x (/.f64 (cbrt.f64 (.f64 x -9)) (fma.f64 x (.f64 x 81) 144))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) -2) (/.f64 (fma.f64 x (.f64 x 81) 144) (/.f64 (cbrt.f64 (.f64 x -9)) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) (cbrt.f64 (.f64 (.f64 x x) 81))) (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) (cbrt.f64 (.f64 x (*.f64 x 81)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) (/.f64 (cbrt.f64 (.f64 x (.f64 x 81))) (cbrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (cbrt.f64 (.f64 (.f64 x x) 81))) (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (cbrt.f64 (.f64 x -9))))
(.f64 (/.f64 x (cbrt.f64 (.f64 x (.f64 x 81)))) (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (*.f64 x -9))))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (cbrt.f64 (.f64 x (.f64 x 81)))) (/.f64 x (cbrt.f64 (*.f64 x -9))))
(.f64 (/.f64 x (sqrt.f64 (.f64 x -9))) (/.f64 (fma.f64 x (.f64 x 81) 144) (sqrt.f64 (.f64 x -9))))
(.f64 (/.f64 (fma.f64 x (.f64 x 81) 144) (sqrt.f64 (.f64 x -9))) (/.f64 x (sqrt.f64 (.f64 x -9))))
(.f64 (/.f64 x (sqrt.f64 (.f64 x -9))) (/.f64 (fma.f64 x (.f64 x 81) 144) (sqrt.f64 (.f64 x -9))))
(.f64 (pow.f64 (.f64 x -9) -1/2) (/.f64 (.f64 x (fma.f64 x (.f64 x 81) 144)) (sqrt.f64 (*.f64 x -9))))
(.f64 (pow.f64 (.f64 x -9) -1/2) (/.f64 x (/.f64 (sqrt.f64 (.f64 x -9)) (fma.f64 x (.f64 x 81) 144))))
(.f64 (pow.f64 (.f64 x -9) -1/2) (.f64 x (/.f64 (fma.f64 x (.f64 x 81) 144) (sqrt.f64 (*.f64 x -9)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) 2) (sqrt.f64 (.f64 x -9))) (/.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 81) 144))) (sqrt.f64 (*.f64 x -9))))
(.f64 (/.f64 x (sqrt.f64 (.f64 x -9))) (/.f64 (fma.f64 x (.f64 x 81) 144) (sqrt.f64 (.f64 x -9))))
(pow.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9) 1)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) 144) 2) 81) 1/2)
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) 144) 2) 81))
(sqrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x 81) 144) 2) 1/81))
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9) 3) 1/3)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) 3)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)) 2)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(pow.f64 (/.f64 -9 (fma.f64 x (*.f64 x 81) 144)) -1)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(pow.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 81) 144)) 3) (pow.f64 (*.f64 x -9) 3)) 1/3)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(pow.f64 (/.f64 (/.f64 -9 (fma.f64 x (*.f64 x 81) 144)) 1) -1)
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(neg.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))
(.f64 (/.f64 -1/9 x) (.f64 (fma.f64 x (*.f64 x 81) 144) (neg.f64 x)))
(.f64 (fma.f64 x (.f64 x 81) 144) 1/9)
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 81) 144) 2) 81))
(sqrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x 81) 144) 2) 1/81))
(log.f64 (exp.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9))))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))))
(.f64 (/.f64 -1/9 x) (.f64 (fma.f64 x (*.f64 x 81) 144) (neg.f64 x)))
(.f64 (fma.f64 x (.f64 x 81) 144) 1/9)
(cbrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9) 3))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 81) 144)) 3) (pow.f64 (*.f64 x -9) 3)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(exp.f64 (log.f64 (.f64 (fma.f64 x (.f64 x 81) 144) -1/9)))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x 81) 144) -1/9)) 1))
(.f64 (fma.f64 x (.f64 x 81) 144) -1/9)

eval156.0ms (3.1%)

Compiler: Compiled 6047 to 4319 computations (28.6% saved)

prune80.0ms (1.6%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	385	3	388
Fresh	1	1	2
Picked	0	1	1
Done	1	10	11
Total	387	15	402

Error

Counts

402 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (.f64 x x) 9 (+.f64 (.f64 x -12) 3))
✓	50.3b	(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (.f64 x -9))
	44.6b	(-.f64 -16 (/.f64 (*.f64 x x) -1/9))
	44.6b	(-.f64 -16 (/.f64 x (/.f64 -1/9 x)))
✓	0.1b	(+.f64 (+.f64 (.f64 (.f64 x x) 9) (*.f64 x -12)) 3)
	0.1b	(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
✓	42.9b	(+.f64 (.f64 x -12) (.f64 9 (*.f64 x x)))
✓	19.8b	(+.f64 (*.f64 -12 x) 3)
✓	43.3b	(.f64 (.f64 9 x) x)
✓	42.9b	(.f64 x (+.f64 -12 (.f64 x 9)))
✓	43.3b	(.f64 9 (.f64 x x))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
✓	19.8b	(.f64 3 (+.f64 (.f64 x -4) 1))
✓	61.5b	(*.f64 -12 x)
	19.7b	3

Compiler

Compiled 127 to 96 computations (24.4% saved)

regimes67.0ms (1.3%)

Counts

26 → 1

Calls

Call 1

Inputs
3
(*.f64 -12 x)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(.f64 (.f64 9 x) x)
(+.f64 (*.f64 -12 x) 3)
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 x (+.f64 -12 (.f64 x 9)))
(-.f64 -16 (/.f64 x (/.f64 -1/9 x)))
(-.f64 -16 (/.f64 (*.f64 x x) -1/9))
(+.f64 (.f64 x -12) (.f64 9 (*.f64 x x)))
(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(+.f64 (+.f64 (.f64 x -12) 3) (.f64 x (*.f64 x 9)))
(+.f64 (+.f64 (.f64 (.f64 x x) 9) (*.f64 x -12)) 3)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (.f64 x -9))
(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (+.f64 -12 (.f64 -9 x)))
(fma.f64 3 (.f64 x (.f64 x 3)) 3)
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(fma.f64 (.f64 x x) 9 (+.f64 (.f64 x -12) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(fma.f64 (*.f64 3 x) (fma.f64 3 x -4) 3)
(fma.f64 (*.f64 x x) 9 (fma.f64 -12 x 3))

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

Calls

4 calls:

38.0ms	x
12.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
7.0ms	(+.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 252 to 176 computations (30.2% saved)

regimes37.0ms (0.7%)

Counts

22 → 1

Calls

Call 1

Inputs
3
(*.f64 -12 x)
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(.f64 (.f64 9 x) x)
(+.f64 (*.f64 -12 x) 3)
(.f64 3 (+.f64 (.f64 x -4) 1))
(.f64 x (+.f64 -12 (.f64 x 9)))
(-.f64 -16 (/.f64 x (/.f64 -1/9 x)))
(-.f64 -16 (/.f64 (*.f64 x x) -1/9))
(+.f64 (.f64 x -12) (.f64 9 (*.f64 x x)))
(+.f64 (.f64 x -12) (.f64 x (*.f64 x 9)))
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(+.f64 (+.f64 (.f64 x -12) 3) (.f64 x (*.f64 x 9)))
(+.f64 (+.f64 (.f64 (.f64 x x) 9) (*.f64 x -12)) 3)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (.f64 x -9))
(/.f64 (.f64 (-.f64 144 (.f64 (.f64 x x) 81)) x) (+.f64 -12 (.f64 -9 x)))
(fma.f64 3 (.f64 x (.f64 x 3)) 3)
(fma.f64 x (-.f64 (*.f64 9 x) 12) 3)
(+.f64 (fma.f64 -12 x 3) (.f64 x (.f64 x 9)))
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)

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

Calls

4 calls:

11.0ms	x
11.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
5.0ms	(+.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 217 to 153 computations (29.5% saved)

regimes23.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 73 to 49 computations (32.9% saved)

bsearch50.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.307604418829556	566.6782347272017
15.0ms	-2433.984397141026	-7.873512624079815e-5

Results

47.0ms

272×

body

256

valid

Compiler

Compiled 306 to 243 computations (20.6% saved)

regimes20.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 55 to 38 computations (30.9% saved)

bsearch29.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.307604418829556	566.6782347272017
16.0ms	-2433.984397141026	-7.873512624079815e-5

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 290 to 235 computations (19% saved)

regimes16.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.00027980696147772763	0.307604418829556
17.0ms	-2433.984397141026	-7.873512624079815e-5

Results

29.0ms

272×

body

256

valid

Compiler

Compiled 256 to 201 computations (21.5% saved)

regimes41.0ms (0.8%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

40.0ms

Results

Error	Segments	Branch
2.0b	3	`x`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch31.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.00027980696147772763	0.307604418829556
15.0ms	-2433.984397141026	-7.873512624079815e-5

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 188 to 150 computations (20.2% saved)

regimes10.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.00027980696147772763	0.307604418829556
21.0ms	-2433.984397141026	-7.873512624079815e-5

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 188 to 150 computations (20.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -42.0b remaining (-212.9%)

Threshold costs -42.0b (-212.9%)

Counts

2 → 1

Calls

Call 1

Inputs
3
(*.f64 -12 x)

Outputs
3

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
19.7b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	196
1	51	196

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) 9 (+.f64 (.f64 x -12) 3))
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (+.f64 -12 (.f64 x 9))) (if (<=.f64 x 5224175567749775/9007199254740992) (+.f64 (.f64 -12 x) 3) (+.f64 (.f64 x -12) (.f64 9 (.f64 x x)))))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (+.f64 -12 (.f64 x 9))) (if (<=.f64 x 5224175567749775/9007199254740992) (+.f64 (.f64 -12 x) 3) (.f64 x (+.f64 -12 (*.f64 x 9)))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 x (.f64 x 9)) (if (<=.f64 x 7746191359077253/36028797018963968) (+.f64 (.f64 -12 x) 3) (.f64 9 (*.f64 x x))))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (.f64 x 9)) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 9 (.f64 x x))))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 9 (.f64 x x)) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 9 (.f64 x x))))
3

Outputs
(fma.f64 (.f64 x x) 9 (+.f64 (.f64 x -12) 3))
(+.f64 (.f64 x (+.f64 (.f64 x 9) -12)) 3)
(+.f64 3 (.f64 x (+.f64 -12 (.f64 x 9))))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (+.f64 -12 (.f64 x 9))) (if (<=.f64 x 5224175567749775/9007199254740992) (+.f64 (.f64 -12 x) 3) (+.f64 (.f64 x -12) (.f64 9 (.f64 x x)))))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (+.f64 -12 (.f64 x 9))) (if (<=.f64 x 5224175567749775/9007199254740992) (+.f64 (.f64 x -12) 3) (+.f64 (.f64 x -12) (.f64 (.f64 x x) 9))))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (+.f64 -12 (.f64 x 9))) (if (<=.f64 x 5224175567749775/9007199254740992) (+.f64 (.f64 -12 x) 3) (.f64 x (+.f64 -12 (*.f64 x 9)))))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (+.f64 -12 (.f64 x 9))) (if (<=.f64 x 5224175567749775/9007199254740992) (+.f64 (.f64 x -12) 3) (.f64 x (+.f64 -12 (*.f64 x 9)))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 x (.f64 x 9)) (if (<=.f64 x 7746191359077253/36028797018963968) (+.f64 (.f64 -12 x) 3) (.f64 9 (*.f64 x x))))
(if (<=.f64 x -6980579422424269/4503599627370496) (.f64 x (.f64 x 9)) (if (<=.f64 x 7746191359077253/36028797018963968) (+.f64 (.f64 x -12) 3) (.f64 (*.f64 x x) 9)))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (.f64 x 9)) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 9 (.f64 x x))))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 x (.f64 x 9)) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 (.f64 x x) 9)))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 9 (.f64 x x)) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 9 (.f64 x x))))
(if (<=.f64 x -5224175567749775/9007199254740992) (.f64 (.f64 x x) 9) (if (<=.f64 x 3602879701896397/18014398509481984) 3 (.f64 (.f64 x x) 9)))
3

Compiler

Compiled 145 to 105 computations (27.6% saved)

soundness202.0ms (4%)

Algorithm

2×	egg-herbie

Rules

954×	`fma-def_binary64`
722×	`fma-neg_binary64`
540×	`fma-def_binary64`
527×	`unswap-sqr_binary64`
446×	`distribute-rgt-in_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
0	174	1119
1	412	1014
2	1556	929

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 163 to 128 computations (21.5% saved)

end143.0ms (2.8%)

Compiler: Compiled 138 to 94 computations (31.9% saved)