Details

analyze3.0ms (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
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample682.0ms (15.4%)

Results

567.0ms	7602×	body	256	valid
76.0ms	421×	body	1024	valid
28.0ms	233×	body	512	valid
1.0ms	13×	body	256	infinite

Bogosity

preprocess51.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

927×	`fma-def_binary64`
395×	`fma-neg_binary64`
127×	`cancel-sign-sub-inv_binary64`
83×	`distribute-rgt-in_binary64`
66×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	43	10
3	101	8
4	227	8
5	361	8
6	545	8
7	816	8
8	1369	8
9	1511	8
10	1827	8
11	2245	8
12	2354	8
13	2358	8
14	2358	8
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
395×	`fma-neg_binary64`
127×	`cancel-sign-sub-inv_binary64`
83×	`distribute-rgt-in_binary64`
66×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	43	10
3	101	8
4	227	8
5	361	8
6	545	8
7	816	8
8	1369	8
9	1511	8
10	1827	8
11	2245	8
12	2354	8
13	2358	8
14	2358	8

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

Outputs
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 3 (.f64 x (+.f64 2 (*.f64 x -3))))
(.f64 x (+.f64 6 (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))

eval1.0ms (0%)

Compiler: Compiled 41 to 31 computations (24.4% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

0.1b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
▶	0.2b	(*.f64 x (fma.f64 x -9 6))
▶	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
▶	0.2b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))

Compiler

Compiled 35 to 27 computations (22.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2 (*.f64 3 x))
✓	0.1b	(.f64 (-.f64 2 (.f64 3 x)) x)
✓	0.1b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))

Compiler

Compiled 28 to 21 computations (25% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
1.0ms	x	@	inf	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
1.0ms	x	@	0	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
0.0ms	x	@	-inf	(.f64 (-.f64 2 (.f64 3 x)) x)
0.0ms	x	@	0	(.f64 (-.f64 2 (.f64 3 x)) x)

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1_binary64`
825×	`add-log-exp_binary64`
824×	`log1p-expm1-u_binary64`
824×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	178	30
2	2222	30

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 3 (.f64 x (-.f64 2 (.f64 3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 x (-.f64 2 (.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3 (.f64 x (-.f64 2 (.f64 3 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 x (-.f64 2 (.f64 3 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3 (.f64 x (-.f64 2 (.f64 3 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 (.f64 x (-.f64 2 (.f64 3 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 x (-.f64 2 (.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3 (.f64 x (-.f64 2 (.f64 3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 x (-.f64 2 (.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 x (-.f64 2 (.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 x (-.f64 2 (.f64 3 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 x) (.f64 (.f64 x -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 2) (.f64 x (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (-.f64 2 (.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) x) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 9 (.f64 x x))) x) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 8 (.f64 27 (pow.f64 x 3)))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 4 (.f64 9 (.f64 x x)))) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 2 (.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 2 (.f64 3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 2 (.f64 3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (-.f64 2 (.f64 3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 2 (.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 2 (.f64 3 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 2 (.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (.f64 3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 2 (.f64 3 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 2 (.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (-.f64 2 (.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 2 (*.f64 3 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 2 (.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 2 (.f64 3 x))) (pow.f64 (cbrt.f64 (-.f64 2 (.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 2 (.f64 3 x))) 2) (cbrt.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 2 (.f64 3 x))) (sqrt.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (/.f64 1 (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (.f64 9 (.f64 x x))) (/.f64 1 (+.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))) (-.f64 8 (.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (.f64 3 x)) (-.f64 4 (.f64 9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 9 (.f64 x x))) (+.f64 2 (.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (.f64 27 (pow.f64 x 3)))) (neg.f64 (+.f64 4 (+.f64 (.f64 9 (.f64 x x)) (.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (.f64 9 (.f64 x x)))) (neg.f64 (+.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (.f64 x -3) 3)) (+.f64 4 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 2 (.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 (.f64 x -3) (.f64 x -3))) (-.f64 2 (.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (*.f64 3 x))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 x) (*.f64 (*.f64 x -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 2 (*.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) x) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) x) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 8 (*.f64 27 (pow.f64 x 3)))) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 9 (*.f64 x x)))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 2 (*.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 2 (*.f64 3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 2 (*.f64 3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 2 (*.f64 3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 2 (*.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 2 (*.f64 3 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 2 (*.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (*.f64 3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 2 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 2 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 2 (*.f64 3 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) 2) (cbrt.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (*.f64 3 x))) (sqrt.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) (/.f64 1 (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (/.f64 1 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))) (-.f64 8 (*.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 3 x)) (-.f64 4 (*.f64 9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3)))) (neg.f64 (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (*.f64 9 (*.f64 x x)))) (neg.f64 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 x -3) 3)) (+.f64 4 (-.f64 (*.f64 (*.f64 x -3) (*.f64 x -3)) (*.f64 2 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (*.f64 x -3) (*.f64 x -3))) (-.f64 2 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (*.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (*.f64 3 x))))))))

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

699×	`log-prod_binary64`
561×	`fma-neg_binary64`
505×	`unswap-sqr_binary64`
396×	`fma-def_binary64`
290×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	954
1	370	882
2	1467	824
3	6746	824

Stop Event

1×	node limit

Counts

94 → 93

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 6 (*.f64 x -9))
✓	0.1b	(.f64 x (+.f64 6 (.f64 x -9)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (+.f64 6 (.f64 x -9)))
0.0ms	x	@	-inf	(.f64 x (+.f64 6 (.f64 x -9)))
0.0ms	x	@	0	(.f64 x (+.f64 6 (.f64 x -9)))
0.0ms	x	@	0	(+.f64 6 (*.f64 x -9))
0.0ms	x	@	inf	(+.f64 6 (*.f64 x -9))

rewrite43.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
768×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	158	13
2	2067	13

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(.f64 x (+.f64 6 (.f64 x -9)))
(+.f64 6 (*.f64 x -9))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 6) (.f64 -9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -9 (.f64 x x)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 6) 1) (.f64 (.f64 -9 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x))) (.f64 (.f64 x 6) (.f64 -9 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x)))) (-.f64 (.f64 x 6) (.f64 -9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 216 (.f64 (pow.f64 x 3) -729))) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 36 (.f64 (.f64 x x) 81))) (+.f64 6 (.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x -9 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x -9 6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (.f64 -9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (.f64 -9 (*.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (+.f64 6 (.f64 9 x))) (/.f64 (.f64 (.f64 x x) 81) (+.f64 6 (.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (+.f64 6 (.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x))) (+.f64 216 (.f64 (pow.f64 x 3) -729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 6 (.f64 9 x)) (-.f64 36 (.f64 (.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729))) (neg.f64 (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (neg.f64 (+.f64 6 (.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 81) 36) (-.f64 (.f64 x -9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 x x) 81)) (cbrt.f64 (.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (.f64 x -9)) 6)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 6) 1) (*.f64 (*.f64 -9 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 6) 3) (pow.f64 (*.f64 -9 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 6) (*.f64 x 6)) (-.f64 (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 -9 (*.f64 x x))) (*.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 6) (*.f64 x 6)) (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 -9 (*.f64 x x)))) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729)) x) (+.f64 36 (-.f64 (*.f64 (*.f64 x x) 81) (*.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) x) (+.f64 6 (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 216 (*.f64 (pow.f64 x 3) -729))) (+.f64 36 (-.f64 (*.f64 (*.f64 x x) 81) (*.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 36 (*.f64 (*.f64 x x) 81))) (+.f64 6 (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x -9 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -9 6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (*.f64 -9 (*.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (+.f64 6 (*.f64 9 x))) (/.f64 (*.f64 (*.f64 x x) 81) (+.f64 6 (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 36 (-.f64 (*.f64 (*.f64 x x) 81) (*.f64 -54 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) (/.f64 1 (+.f64 6 (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (*.f64 (*.f64 x x) 81) (*.f64 -54 x))) (+.f64 216 (*.f64 (pow.f64 x 3) -729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 6 (*.f64 9 x)) (-.f64 36 (*.f64 (*.f64 x x) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729)) (+.f64 36 (-.f64 (*.f64 (*.f64 x x) 81) (*.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729)) (+.f64 (*.f64 (*.f64 x x) 81) (-.f64 36 (*.f64 -54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (*.f64 (*.f64 x x) 81)) (+.f64 6 (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (*.f64 (pow.f64 x 3) -729))) (neg.f64 (+.f64 36 (-.f64 (*.f64 (*.f64 x x) 81) (*.f64 -54 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (*.f64 (*.f64 x x) 81))) (neg.f64 (+.f64 6 (*.f64 9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 81) 36) (-.f64 (*.f64 x -9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81)) (cbrt.f64 (*.f64 x -9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -9)) (sqrt.f64 (*.f64 x -9)) 6)))))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-neg_binary64`
393×	`fma-def_binary64`
382×	`unswap-sqr_binary64`
382×	`log-prod_binary64`
381×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	951
1	380	783
2	1410	713
3	5914	713

Stop Event

1×	node limit

Counts

80 → 86

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(+.f64 (.f64 (.f64 x 6) 1) (.f64 (.f64 -9 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -9 6))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x))) (.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x)))) (-.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))
(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (*.f64 -54 x))))
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
(/.f64 (.f64 x (+.f64 216 (.f64 (pow.f64 x 3) -729))) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (*.f64 -54 x))))
(/.f64 (.f64 x (-.f64 36 (.f64 (.f64 x x) 81))) (+.f64 6 (.f64 9 x)))
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -9 6)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -9 6) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(-.f64 (+.f64 1 (fma.f64 x -9 6)) 1)
(-.f64 (/.f64 36 (+.f64 6 (.f64 9 x))) (/.f64 (.f64 (.f64 x x) 81) (+.f64 6 (.f64 9 x))))
(*.f64 (fma.f64 x -9 6) 1)
(*.f64 1 (fma.f64 x -9 6))
(*.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))
(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (*.f64 -54 x)))))
(.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (+.f64 6 (.f64 9 x))))
(/.f64 1 (/.f64 (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x))) (+.f64 216 (.f64 (pow.f64 x 3) -729))))
(/.f64 1 (/.f64 (+.f64 6 (.f64 9 x)) (-.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 -54 x))))
(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 9 x)))
(/.f64 (neg.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729))) (neg.f64 (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x)))))
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (neg.f64 (+.f64 6 (*.f64 9 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 81) 36) (-.f64 (*.f64 x -9) 6))
(pow.f64 (fma.f64 x -9 6) 1)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))
(log.f64 (exp.f64 (fma.f64 x -9 6)))
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -9 6)))
(log1p.f64 (expm1.f64 (fma.f64 x -9 6)))
(exp.f64 (log.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(fma.f64 -9 x 6)
(fma.f64 1 (*.f64 x -9) 6)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 81)) (cbrt.f64 (*.f64 x -9)) 6)
(fma.f64 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (.f64 x -9)) 6)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 (.f64 x 6) 1) (.f64 (.f64 -9 (*.f64 x x)) 1))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -9 6))) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(/.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x))) (.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 216) (.f64 -729 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) 36) (.f64 (.f64 -9 (.f64 x x)) (-.f64 (.f64 -9 (.f64 x x)) (*.f64 6 x)))))
(/.f64 (fma.f64 -729 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 6 x) 3)) (fma.f64 x (.f64 36 x) (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x 81) -54)))))
(/.f64 (.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) -729 216)) (.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 81 54) 36)))
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 (.f64 -9 (.f64 x x)) (.f64 -9 (.f64 x x)))) (-.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 6 x) (.f64 9 (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 36 x) (.f64 -81 (pow.f64 x 4))) (.f64 x (-.f64 6 (.f64 x -9))))
(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
(/.f64 (.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) x) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (*.f64 -54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 (+.f64 36 (+.f64 (.f64 x (.f64 x 81)) (.f64 54 x))) x))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 36 (.f64 x (-.f64 (*.f64 x 81) -54)))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 x (fma.f64 x 81 54) 36)))
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
(.f64 (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (fma.f64 x 9 6)) x)
(.f64 x (/.f64 (fma.f64 x (.f64 x -81) 36) (fma.f64 x 9 6)))
(/.f64 (.f64 x (+.f64 216 (.f64 (pow.f64 x 3) -729))) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (*.f64 -54 x))))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 (+.f64 36 (+.f64 (.f64 x (.f64 x 81)) (.f64 54 x))) x))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 36 (.f64 x (-.f64 (*.f64 x 81) -54)))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 x (fma.f64 x 81 54) 36)))
(/.f64 (.f64 x (-.f64 36 (.f64 (.f64 x x) 81))) (+.f64 6 (.f64 9 x)))
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
(.f64 (/.f64 (+.f64 36 (.f64 (*.f64 x x) -81)) (fma.f64 x 9 6)) x)
(.f64 x (/.f64 (fma.f64 x (.f64 x -81) 36) (fma.f64 x 9 6)))
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -9 6)) x))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) 3)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -9 6) 3) (pow.f64 x 3)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(-.f64 (+.f64 1 (fma.f64 x -9 6)) 1)
(fma.f64 x -9 6)
(-.f64 (/.f64 36 (+.f64 6 (.f64 9 x))) (/.f64 (.f64 (.f64 x x) 81) (+.f64 6 (.f64 9 x))))
(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x 9 6))
(*.f64 (fma.f64 x -9 6) 1)
(fma.f64 x -9 6)
(*.f64 1 (fma.f64 x -9 6))
(fma.f64 x -9 6)
(*.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))
(fma.f64 x -9 6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (*.f64 -54 x)))))
(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 36 (+.f64 (.f64 x (.f64 x 81)) (*.f64 54 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 36 (.f64 x (-.f64 (.f64 x 81) -54))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 x (fma.f64 x 81 54) 36))
(.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (/.f64 1 (+.f64 6 (.f64 9 x))))
(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x 9 6))
(/.f64 1 (/.f64 (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x))) (+.f64 216 (.f64 (pow.f64 x 3) -729))))
(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 36 (+.f64 (.f64 x (.f64 x 81)) (*.f64 54 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 36 (.f64 x (-.f64 (.f64 x 81) -54))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 x (fma.f64 x 81 54) 36))
(/.f64 1 (/.f64 (+.f64 6 (.f64 9 x)) (-.f64 36 (.f64 (*.f64 x x) 81))))
(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x 9 6))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x))))
(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 36 (+.f64 (.f64 x (.f64 x 81)) (*.f64 54 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 36 (.f64 x (-.f64 (.f64 x 81) -54))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 x (fma.f64 x 81 54) 36))
(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 -54 x))))
(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 36 (+.f64 (.f64 x (.f64 x 81)) (*.f64 54 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 36 (.f64 x (-.f64 (.f64 x 81) -54))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 x (fma.f64 x 81 54) 36))
(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 9 x)))
(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x 9 6))
(/.f64 (neg.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729))) (neg.f64 (+.f64 36 (-.f64 (.f64 (.f64 x x) 81) (.f64 -54 x)))))
(.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 1 (+.f64 36 (+.f64 (.f64 x (.f64 x 81)) (*.f64 54 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 36 (.f64 x (-.f64 (.f64 x 81) -54))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 x (fma.f64 x 81 54) 36))
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 x x) 81))) (neg.f64 (+.f64 6 (*.f64 9 x))))
(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x 9 6))
(/.f64 (-.f64 (.f64 (.f64 x x) 81) 36) (-.f64 (*.f64 x -9) 6))
(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (+.f64 6 (*.f64 x 9)))
(/.f64 (+.f64 36 (.f64 (.f64 x x) -81)) (fma.f64 x 9 6))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x 9 6))
(pow.f64 (fma.f64 x -9 6) 1)
(fma.f64 x -9 6)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)
(fma.f64 x -9 6)
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)
(fma.f64 x -9 6)
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)
(fma.f64 x -9 6)
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))
(fma.f64 x -9 6)
(log.f64 (exp.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))
(fma.f64 x -9 6)
(expm1.f64 (log1p.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(log1p.f64 (expm1.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(exp.f64 (log.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(fma.f64 x -9 6)
(fma.f64 -9 x 6)
(fma.f64 x -9 6)
(fma.f64 1 (*.f64 x -9) 6)
(fma.f64 x -9 6)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 81)) (cbrt.f64 (*.f64 x -9)) 6)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 81))) (cbrt.f64 (*.f64 x -9)) 6)
(fma.f64 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (.f64 x -9)) 6)
(fma.f64 x -9 6)

localize30.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x -9 6)
✓	0.1b	(*.f64 x (fma.f64 x -9 6))

Compiler

Compiled 14 to 10 computations (28.6% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (fma.f64 x -9 6))
1.0ms	x	@	-inf	(*.f64 x (fma.f64 x -9 6))
0.0ms	x	@	inf	(*.f64 x (fma.f64 x -9 6))
0.0ms	x	@	0	(fma.f64 x -9 6)
0.0ms	x	@	inf	(fma.f64 x -9 6)

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`pow1_binary64`
530×	`add-sqr-sqrt_binary64`
506×	`add-log-exp_binary64`
506×	`log1p-expm1-u_binary64`
506×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1338	13

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x -9 6))
(fma.f64 x -9 6)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -9) 1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -9) 3) 216) (+.f64 (*.f64 (*.f64 x -9) (*.f64 x -9)) (-.f64 36 (*.f64 (*.f64 x -9) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -9) (*.f64 x -9)) 36) (-.f64 (*.f64 x -9) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -9 6)))))))

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

568×	`log-prod_binary64`
508×	`fma-neg_binary64`
369×	`associate-+l+_binary64`
345×	`associate-+r+_binary64`
327×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	388
1	205	382
2	797	380
3	3552	380
4	7389	379

Stop Event

1×	node limit

Counts

58 → 55

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
6
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(+.f64 (*.f64 -9 x) 6)
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(*.f64 -9 x)
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 6 (*.f64 -9 x))
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(+.f64 (.f64 x (.f64 x -9)) (*.f64 x 6))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -9 6))) 1)
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(+.f64 6 (*.f64 x -9))
(+.f64 (*.f64 x -9) 6)
(+.f64 (.f64 (.f64 x -9) 1) 6)
(-.f64 (+.f64 1 (fma.f64 x -9 6)) 1)
(*.f64 (fma.f64 x -9 6) 1)
(*.f64 1 (fma.f64 x -9 6))
(*.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))
(/.f64 (+.f64 (pow.f64 (.f64 x -9) 3) 216) (+.f64 (.f64 (.f64 x -9) (.f64 x -9)) (-.f64 36 (.f64 (.f64 x -9) 6))))
(/.f64 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) 36) (-.f64 (.f64 x -9) 6))
(pow.f64 (fma.f64 x -9 6) 1)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))
(log.f64 (exp.f64 (fma.f64 x -9 6)))
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -9 6)))
(log1p.f64 (expm1.f64 (fma.f64 x -9 6)))
(exp.f64 (log.f64 (fma.f64 x -9 6)))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 x (.f64 x -9))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 x (.f64 x -9))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
6
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(+.f64 (*.f64 -9 x) 6)
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 6 (*.f64 -9 x))
(fma.f64 x -9 6)
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 x (.f64 x -9)) (*.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -9 6))) 1)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(*.f64 x (fma.f64 x -9 6))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(*.f64 x (fma.f64 x -9 6))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(*.f64 x (fma.f64 x -9 6))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(+.f64 6 (*.f64 x -9))
(fma.f64 x -9 6)
(+.f64 (*.f64 x -9) 6)
(fma.f64 x -9 6)
(+.f64 (.f64 (.f64 x -9) 1) 6)
(fma.f64 x -9 6)
(-.f64 (+.f64 1 (fma.f64 x -9 6)) 1)
(fma.f64 x -9 6)
(*.f64 (fma.f64 x -9 6) 1)
(fma.f64 x -9 6)
(*.f64 1 (fma.f64 x -9 6))
(fma.f64 x -9 6)
(*.f64 (cbrt.f64 (fma.f64 x -9 6)) (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2))
(fma.f64 x -9 6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (cbrt.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (sqrt.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(/.f64 (+.f64 (pow.f64 (.f64 x -9) 3) 216) (+.f64 (.f64 (.f64 x -9) (.f64 x -9)) (-.f64 36 (.f64 (.f64 x -9) 6))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -729) 216) (+.f64 (.f64 (.f64 x x) 81) (-.f64 36 (.f64 x -54))))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 (fma.f64 x (.f64 81 x) 36) (.f64 x 54)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 x (*.f64 x 81) (fma.f64 x 54 36)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (fma.f64 (*.f64 x x) 81 (fma.f64 x 54 36)))
(/.f64 (fma.f64 (pow.f64 x 3) -729 216) (+.f64 36 (*.f64 x (fma.f64 x 81 54))))
(/.f64 (-.f64 (.f64 (.f64 x -9) (.f64 x -9)) 36) (-.f64 (.f64 x -9) 6))
(/.f64 (+.f64 (.f64 (.f64 x x) 81) -36) (fma.f64 x -9 -6))
(/.f64 (fma.f64 x (*.f64 81 x) -36) (fma.f64 x -9 -6))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x -9 -6))
(/.f64 (fma.f64 (*.f64 x x) 81 -36) (fma.f64 x -9 -6))
(pow.f64 (fma.f64 x -9 6) 1)
(fma.f64 x -9 6)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) 1/3)
(fma.f64 x -9 6)
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 3)
(fma.f64 x -9 6)
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) 2)
(fma.f64 x -9 6)
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) 2))
(fma.f64 x -9 6)
(log.f64 (exp.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) 3))
(fma.f64 x -9 6)
(expm1.f64 (log1p.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(log1p.f64 (expm1.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(exp.f64 (log.f64 (fma.f64 x -9 6)))
(fma.f64 x -9 6)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2 (*.f64 x 3))
✓	0.1b	(.f64 3 (-.f64 2 (.f64 x 3)))
✓	0.1b	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Compiler

Compiled 28 to 22 computations (21.4% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
0.0ms	x	@	0	(.f64 3 (-.f64 2 (.f64 x 3)))
0.0ms	x	@	-inf	(.f64 3 (-.f64 2 (.f64 x 3)))
0.0ms	x	@	-inf	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
0.0ms	x	@	inf	(.f64 3 (-.f64 2 (.f64 x 3)))

rewrite51.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary64`
827×	`add-log-exp_binary64`
826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	177	30
2	2227	30

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 (*.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 3 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (-.f64 2 (*.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) 3) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) 3) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 8 (*.f64 27 (pow.f64 x 3)))) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 4 (*.f64 9 (*.f64 x x)))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (-.f64 2 (*.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (-.f64 2 (*.f64 3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (-.f64 2 (*.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (-.f64 2 (*.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (-.f64 2 (*.f64 3 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) 2) (cbrt.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (*.f64 3 x))) (sqrt.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) (/.f64 1 (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (/.f64 1 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))) (-.f64 8 (*.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 3 x)) (-.f64 4 (*.f64 9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3))) (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 9 (*.f64 x x))) (+.f64 2 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (*.f64 27 (pow.f64 x 3)))) (neg.f64 (+.f64 4 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (*.f64 9 (*.f64 x x)))) (neg.f64 (+.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 x -3) 3)) (+.f64 4 (-.f64 (*.f64 (*.f64 x -3) (*.f64 x -3)) (*.f64 2 (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (*.f64 x -3) (*.f64 x -3))) (-.f64 2 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (*.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (*.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (*.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (*.f64 3 x))))))))

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

711×	`log-prod_binary64`
570×	`fma-neg_binary64`
518×	`unswap-sqr_binary64`
347×	`fma-def_binary64`
262×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	888
1	368	747
2	1468	709
3	6382	709

Stop Event

1×	node limit

Counts

94 → 93

Calls

Call 1

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

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

eval112.0ms (2.5%)

Compiler: Compiled 4088 to 3076 computations (24.8% saved)

prune46.0ms (1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	315	12	327
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	317	14	331

Error

Counts

331 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
	0.3b	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
	27.7b	(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 6 x) (.f64 9 (*.f64 x x))))
	7.3b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
▶	0.4b	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
▶	38.1b	(.f64 (.f64 x -9) x)
▶	38.1b	(.f64 (.f64 3 (*.f64 x -3)) x)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
▶	25.0b	(*.f64 x 6)
	0.3b	(.f64 3 (/.f64 x (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 4 (.f64 -9 (.f64 x x))))))
	0.2b	(.f64 3 (+.f64 (.f64 x 2) (.f64 x (.f64 x -3))))
✓	0.2b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
	38.1b	(.f64 3 (.f64 (*.f64 x -3) x))
	38.1b	(.f64 -9 (.f64 x x))

Compiler

Compiled 294 to 208 computations (29.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
✓	0.2b	(.f64 -9 (.f64 x x))

Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 -9 (.f64 x x))
0.0ms	x	@	inf	(.f64 -9 (.f64 x x))
0.0ms	x	@	0	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
0.0ms	x	@	-inf	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
0.0ms	x	@	inf	(fma.f64 x 6 (.f64 -9 (.f64 x x)))

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
577×	`add-log-exp_binary64`
577×	`log1p-expm1-u_binary64`
577×	`expm1-log1p-u_binary64`
566×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	144	18
2	1593	18

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(.f64 -9 (.f64 x x))
(fma.f64 x 6 (.f64 -9 (.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (sqrt.f64 -9)) 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 (log.f64 (*.f64 -9 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 6) 1) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) (sqrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 6) 3) (pow.f64 (*.f64 -9 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 6) (*.f64 x 6)) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 6) (*.f64 x 6)) (*.f64 81 (pow.f64 x 4))) (-.f64 (*.f64 x 6) (*.f64 -9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 6 (*.f64 -9 (*.f64 x x)))))))))

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

761×	`associate-/l*_binary64`
479×	`fma-neg_binary64`
376×	`log-prod_binary64`
359×	`fma-def_binary64`
357×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	570
1	213	530
2	927	465
3	4200	464

Stop Event

1×	node limit

Counts

56 → 48

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 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(-.f64 (+.f64 1 (.f64 -9 (.f64 x x))) 1)
(pow.f64 (.f64 -9 (.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -9)) 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 (log.f64 (.f64 -9 (.f64 x x))))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
(+.f64 (.f64 (.f64 x 6) 1) (.f64 -9 (.f64 x x)))
(-.f64 (+.f64 1 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 1)
(.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x))) 1)
(.f64 1 (fma.f64 x 6 (.f64 -9 (*.f64 x x))))
(.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))))
(.f64 (sqrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) (sqrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 81 (pow.f64 x 4))) (-.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))
(pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 1)
(pow.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 2))
(log.f64 (exp.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(log1p.f64 (expm1.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(exp.f64 (log.f64 (fma.f64 x 6 (.f64 -9 (.f64 x 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 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(-.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 (sqrt.f64 -9)) 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 (log.f64 (.f64 -9 (.f64 x x))))
(.f64 -9 (.f64 x x))
(+.f64 (.f64 -9 (.f64 x x)) (*.f64 x 6))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(+.f64 (.f64 (.f64 x 6) 1) (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(-.f64 (+.f64 1 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 1)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x))) 1)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 1 (fma.f64 x 6 (.f64 -9 (*.f64 x x))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))) 2))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 2) (cbrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(.f64 (sqrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) (sqrt.f64 (fma.f64 x 6 (.f64 -9 (*.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(/.f64 (+.f64 (pow.f64 (.f64 x 6) 3) (pow.f64 (.f64 -9 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 6) (.f64 x 6)) (-.f64 (.f64 81 (pow.f64 x 4)) (.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))))
(/.f64 (+.f64 (.f64 -729 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 x 3) 216)) (-.f64 (+.f64 (.f64 (.f64 x x) 36) (.f64 81 (pow.f64 x 4))) (.f64 x (.f64 6 (.f64 -9 (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 -729 (pow.f64 (.f64 x x) 3))) (-.f64 (fma.f64 x (.f64 36 x) (.f64 81 (pow.f64 x 4))) (.f64 x (.f64 (*.f64 x -54) x))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 -729 (pow.f64 x 6))) (fma.f64 81 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 (.f64 x 54) 36))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 -729 (pow.f64 x 6))) (fma.f64 81 (pow.f64 x 4) (.f64 x (.f64 x (+.f64 (.f64 x 54) 36)))))
(/.f64 (-.f64 (.f64 (.f64 x 6) (.f64 x 6)) (.f64 81 (pow.f64 x 4))) (-.f64 (.f64 x 6) (.f64 -9 (*.f64 x x))))
(/.f64 (+.f64 (.f64 (.f64 x x) 36) (.f64 -81 (pow.f64 x 4))) (+.f64 (.f64 x 6) (.f64 9 (.f64 x x))))
(/.f64 (fma.f64 x (.f64 36 x) (.f64 (pow.f64 x 4) -81)) (.f64 x (-.f64 6 (.f64 -9 x))))
(/.f64 (fma.f64 x (.f64 x 36) (.f64 (pow.f64 x 4) -81)) (.f64 x (+.f64 6 (.f64 x 9))))
(/.f64 (-.f64 (/.f64 x 1/36) (/.f64 81 (/.f64 x (pow.f64 x 4)))) (+.f64 6 (*.f64 x 9)))
(pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 1)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(pow.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 3) 1/3)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(pow.f64 (cbrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 3)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(pow.f64 (sqrt.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))) 2)
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(sqrt.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 2))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(log.f64 (exp.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(cbrt.f64 (pow.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x))) 3))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(expm1.f64 (log1p.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(log1p.f64 (expm1.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))
(exp.f64 (log.f64 (fma.f64 x 6 (.f64 -9 (.f64 x x)))))
(fma.f64 -9 (.f64 x x) (.f64 x 6))
(.f64 x (+.f64 (.f64 -9 x) 6))
(*.f64 x (fma.f64 -9 x 6))

localize2.0ms (0.1%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x -9) 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 x -9) x)
0.0ms	x	@	inf	(.f64 (.f64 x -9) x)
0.0ms	x	@	-inf	(.f64 (.f64 x -9) x)

rewrite34.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
432×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
414×	`add-log-exp_binary64`
414×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1135	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

817×	`log-prod_binary64`
484×	`distribute-rgt-in_binary64`
471×	`distribute-lft-in_binary64`
365×	`associate-l_binary64`
321×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	161
1	82	161
2	316	161
3	2170	161
4	6575	161

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
591×	`add-log-exp_binary64`
591×	`log1p-expm1-u_binary64`
591×	`expm1-log1p-u_binary64`
580×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	144	11
2	1633	11

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

813×	`exp-sum_binary64`
574×	`log-prod_binary64`
489×	`distribute-rgt-in_binary64`
460×	`distribute-lft-in_binary64`
442×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	253
1	127	253
2	539	253
3	2156	253
4	7111	253

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 6 (*.f64 x 9))
✓	0.2b	(/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81))))
✓	0.2b	(.f64 x (.f64 x 81))
✓	0.2b	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))

Compiler

Compiled 57 to 42 computations (26.3% saved)

series7.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
1.0ms	x	@	0	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
1.0ms	x	@	inf	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
1.0ms	x	@	inf	(/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81))))
0.0ms	x	@	inf	(.f64 x (.f64 x 81))

rewrite69.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`log-prod_binary64`
483×	`prod-diff_binary64`
265×	`fma-def_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	298	32
2	4129	32

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
(.f64 x (.f64 x 81))
(/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81))))
(+.f64 6 (*.f64 x 9))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 36 (/.f64 x (fma.f64 x 9 6))) (.f64 (.f64 (.f64 x x) -81) (/.f64 x (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 36) (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 (.f64 x x) -81)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 -9 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 6 (.f64 -9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -81 36) (/.f64 x (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 6 (.f64 -9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 2) (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 6 (.f64 -9 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (fma.f64 x 9 6)) (fma.f64 (.f64 x x) -81 36))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 9 6)) (/.f64 x (/.f64 1 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 9 6)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 2)) (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 2)) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x))))) (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x))))) (/.f64 (cbrt.f64 x) (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (+.f64 6 (.f64 -9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (neg.f64 (fma.f64 x 9 6))) (neg.f64 (fma.f64 (.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) (fma.f64 (.f64 x x) -81 36))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (cbrt.f64 (fma.f64 (.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (sqrt.f64 (fma.f64 (.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 x (+.f64 6 (.f64 -9 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -1 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 6 (.f64 -9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 36 (/.f64 x (fma.f64 x 9 6)) (.f64 (.f64 (.f64 x x) -81) (/.f64 x (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x 9 6)) 36 (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 (.f64 x x) -81)))))))
((#(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 (pow.f64 (exp.f64 81) x) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 81) 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 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 81)) 1)))) (#(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 (pow.f64 (.f64 x x) 3) 531441) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 x 81)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 81) 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 (pow.f64 (.f64 x x) 3) 531441))))) (#(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 1 (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 9 6) (/.f64 1 (fma.f64 (.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (.f64 (cbrt.f64 (fma.f64 x 9 6)) (/.f64 1 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x)))) (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 9 6)) (.f64 (sqrt.f64 (fma.f64 x 9 6)) (/.f64 1 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 9 6)) (/.f64 1 (neg.f64 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 (.f64 x x) -81 36)) (fma.f64 x 9 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x 9 6)) (fma.f64 (.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 1) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (fma.f64 (.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 (fma.f64 x 9 6) (cbrt.f64 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 (fma.f64 x 9 6) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 (cbrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 9 6) (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))) (fma.f64 (.f64 x (.f64 x 81)) (fma.f64 x (.f64 x 81) 36) 1296))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 9 6) (-.f64 1296 (pow.f64 (.f64 x (.f64 x 81)) 2))) (fma.f64 x (.f64 x 81) 36))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (.f64 -9 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 9 6) (neg.f64 (fma.f64 (.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 9 6) 3) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 6 (.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 6 (.f64 -9 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (+.f64 6 (.f64 -9 x))) (/.f64 (.f64 x (.f64 x 81)) (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -81 36) (/.f64 1 (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 9 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (cbrt.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 729 216) (/.f64 1 (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) -81 36) (+.f64 6 (.f64 -9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36) (fma.f64 (pow.f64 x 3) 729 216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 6 (.f64 -9 x)) (fma.f64 (.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (.f64 x x) -81 36)) (neg.f64 (+.f64 6 (.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 x (.f64 x 81) (-.f64 36 (.f64 54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 729 216)) (neg.f64 (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (.f64 x 81) -36) (fma.f64 x 9 -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 9 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 9) 1 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 9)) (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 9) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 x) 3) (.f64 (sqrt.f64 x) 3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 9 (sqrt.f64 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 (sqrt.f64 x)) (sqrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 6)))))

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

857×	`fma-def_binary64`
294×	`associate-/r/_binary64`
279×	`associate-/l/_binary64`
198×	`distribute-rgt-neg-in_binary64`
186×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	2455
1	936	2122
2	3580	2068

Stop Event

1×	node limit

Counts

193 → 229

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 9/16 (pow.f64 x 3)))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
6
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(*.f64 9 x)
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(*.f64 9 x)
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(+.f64 6 (*.f64 9 x))
(+.f64 0 (.f64 x (+.f64 6 (.f64 -9 x))))
(+.f64 (.f64 36 (/.f64 x (fma.f64 x 9 6))) (.f64 (.f64 (.f64 x x) -81) (/.f64 x (fma.f64 x 9 6))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 36) (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 (.f64 x x) -81)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 6 (.f64 -9 x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 -9 x))))) 1)
(.f64 x (+.f64 6 (.f64 -9 x)))
(.f64 (fma.f64 (.f64 x x) -81 36) (/.f64 x (fma.f64 x 9 6)))
(.f64 (.f64 x (+.f64 6 (*.f64 -9 x))) 1)
(.f64 1 (.f64 x (+.f64 6 (*.f64 -9 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 6 (*.f64 -9 x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 2) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 6 (*.f64 -9 x))))
(.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) (sqrt.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))))
(.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (+.f64 6 (.f64 -9 x)))))
(.f64 (+.f64 6 (.f64 -9 x)) x)
(.f64 (/.f64 x (fma.f64 x 9 6)) (fma.f64 (.f64 x x) -81 36))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 6 (.f64 -9 x)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 6 (.f64 -9 x)))))
(.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 9 6)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 (.f64 x x) -81 36))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (/.f64 x (/.f64 1 (fma.f64 (.f64 x x) -81 36))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 9 6)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 (.f64 x x) -81 36))))
(.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 6 (*.f64 -9 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 2)) (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 2)) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 6 (*.f64 -9 x))))))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x))))) (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 6 (*.f64 -9 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x))))) (/.f64 (cbrt.f64 x) (/.f64 1 (sqrt.f64 (+.f64 6 (*.f64 -9 x))))))
(.f64 (/.f64 x 1) (+.f64 6 (.f64 -9 x)))
(.f64 (/.f64 x (neg.f64 (fma.f64 x 9 6))) (neg.f64 (fma.f64 (.f64 x x) -81 36)))
(.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 1) (fma.f64 (*.f64 x x) -81 36))
(.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (cbrt.f64 (fma.f64 (.f64 x x) -81 36)))
(.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (sqrt.f64 (fma.f64 (.f64 x x) -81 36)))
(pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 1)
(pow.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 3)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 6 (.f64 -9 x)))) 2)
(pow.f64 (/.f64 1 (.f64 x (+.f64 6 (.f64 -9 x)))) -1)
(neg.f64 (/.f64 x (/.f64 -1 (+.f64 6 (*.f64 -9 x)))))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 6 (*.f64 -9 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 6 (.f64 -9 x))))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 6 (.f64 -9 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))) 3)))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))
(exp.f64 (log.f64 (.f64 x (+.f64 6 (.f64 -9 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 6 (*.f64 -9 x)))) 1))
(fma.f64 36 (/.f64 x (fma.f64 x 9 6)) (.f64 (.f64 (*.f64 x x) -81) (/.f64 x (fma.f64 x 9 6))))
(fma.f64 (/.f64 x (fma.f64 x 9 6)) 36 (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 (*.f64 x x) -81)))
(+.f64 0 (.f64 x (.f64 x 81)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 81)))) 1)
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (.f64 x (.f64 x 81)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 81)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 81)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 531441))
(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 1 (+.f64 6 (*.f64 -9 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (.f64 -9 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))))) 1)
(.f64 (fma.f64 x 9 6) (/.f64 1 (fma.f64 (.f64 x x) -81 36)))
(.f64 (/.f64 1 (+.f64 6 (.f64 -9 x))) 1)
(.f64 1 (/.f64 1 (+.f64 6 (.f64 -9 x))))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (*.f64 -9 x)))) 2))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 -9 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 6 (*.f64 -9 x)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (.f64 (cbrt.f64 (fma.f64 x 9 6)) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 6 (.f64 -9 x)))) (/.f64 1 (sqrt.f64 (+.f64 6 (*.f64 -9 x)))))
(.f64 (sqrt.f64 (fma.f64 x 9 6)) (.f64 (sqrt.f64 (fma.f64 x 9 6)) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (neg.f64 (fma.f64 x 9 6)) (/.f64 1 (neg.f64 (fma.f64 (.f64 x x) -81 36))))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) -81 36)) (fma.f64 x 9 6))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x 9 6)) (fma.f64 (.f64 x x) -81 36)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 1) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (fma.f64 (.f64 x x) -81 36)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 (fma.f64 x 9 6) (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 1 (cbrt.f64 (+.f64 6 (*.f64 -9 x)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 (fma.f64 x 9 6) (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 (cbrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 (fma.f64 x 9 6) (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))) (fma.f64 (.f64 x (.f64 x 81)) (fma.f64 x (.f64 x 81) 36) 1296))
(.f64 (/.f64 (fma.f64 x 9 6) (-.f64 1296 (pow.f64 (.f64 x (.f64 x 81)) 2))) (fma.f64 x (.f64 x 81) 36))
(pow.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (*.f64 -9 x)))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 6 (*.f64 -9 x)))) 2)
(pow.f64 (+.f64 6 (*.f64 -9 x)) -1)
(neg.f64 (/.f64 (fma.f64 x 9 6) (neg.f64 (fma.f64 (*.f64 x x) -81 36))))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))) 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 9 6) 3) (pow.f64 (fma.f64 (*.f64 x x) -81 36) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 6 (*.f64 -9 x)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 6 (.f64 -9 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 6))) 1)
(-.f64 (/.f64 36 (+.f64 6 (.f64 -9 x))) (/.f64 (.f64 x (.f64 x 81)) (+.f64 6 (.f64 -9 x))))
(*.f64 (fma.f64 x 9 6) 1)
(.f64 (fma.f64 (.f64 x x) -81 36) (/.f64 1 (+.f64 6 (*.f64 -9 x))))
(*.f64 1 (fma.f64 x 9 6))
(*.f64 (cbrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (cbrt.f64 (fma.f64 x 9 6)))
(*.f64 (sqrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 x 9 6)))
(.f64 (fma.f64 (pow.f64 x 3) 729 216) (/.f64 1 (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36)))
(/.f64 (fma.f64 (.f64 x x) -81 36) (+.f64 6 (.f64 -9 x)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 9) (fma.f64 x 9 -6) 36) (fma.f64 (pow.f64 x 3) 729 216)))
(/.f64 1 (/.f64 (+.f64 6 (.f64 -9 x)) (fma.f64 (.f64 x x) -81 36)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) -81 36)) (neg.f64 (+.f64 6 (.f64 -9 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 (*.f64 x 9) (fma.f64 x 9 -6) 36))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 x (.f64 x 81) (-.f64 36 (.f64 54 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 729 216)) (neg.f64 (fma.f64 (*.f64 x 9) (fma.f64 x 9 -6) 36)))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x 9 -6))
(pow.f64 (fma.f64 x 9 6) 1)
(pow.f64 (pow.f64 (fma.f64 x 9 6) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 9 6)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 9 6) 2))
(log.f64 (exp.f64 (fma.f64 x 9 6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 6))))
(cbrt.f64 (pow.f64 (fma.f64 x 9 6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 9 6)))
(log1p.f64 (expm1.f64 (fma.f64 x 9 6)))
(exp.f64 (log.f64 (fma.f64 x 9 6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 6)) 1))
(fma.f64 x 9 6)
(fma.f64 9 x 6)
(fma.f64 (*.f64 x 9) 1 6)
(fma.f64 1 (*.f64 x 9) 6)
(fma.f64 (cbrt.f64 (.f64 x 9)) (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) 6)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 9) 6)
(fma.f64 (.f64 (sqrt.f64 x) 3) (.f64 (sqrt.f64 x) 3) 6)
(fma.f64 (sqrt.f64 x) (*.f64 9 (sqrt.f64 x)) 6)
(fma.f64 (*.f64 9 (sqrt.f64 x)) (sqrt.f64 x) 6)
(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) 6)
(fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 6)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
(*.f64 81 (pow.f64 x 2))
(.f64 81 (.f64 x x))
(.f64 x (.f64 x 81))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 x 1/4))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 1/6 (fma.f64 3/8 (.f64 x x) (.f64 x 1/4)))
(+.f64 1/6 (fma.f64 x 1/4 (.f64 (.f64 3/8 x) x)))
(fma.f64 x 1/4 (fma.f64 3/8 (*.f64 x x) 1/6))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 9/16 (pow.f64 x 3)))))
(+.f64 1/6 (fma.f64 3/8 (.f64 x x) (fma.f64 1/4 x (.f64 9/16 (pow.f64 x 3)))))
(+.f64 1/6 (fma.f64 3/8 (.f64 x x) (fma.f64 x 1/4 (.f64 9/16 (pow.f64 x 3)))))
(+.f64 1/6 (fma.f64 x 1/4 (.f64 (.f64 x x) (+.f64 (*.f64 x 9/16) 3/8))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -2/27 (*.f64 x x)) (/.f64 -1/9 x))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3)))))
(-.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3))))
(+.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -4/81 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3))) (/.f64 8/243 (pow.f64 x 4)))))
(-.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 4/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 8/243 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -4/81 (pow.f64 x 3)))) (/.f64 -8/243 (pow.f64 x 4)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -2/27 (*.f64 x x)) (/.f64 -1/9 x))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3)))))
(-.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3))))
(+.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -4/81 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3))) (/.f64 8/243 (pow.f64 x 4)))))
(-.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 4/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 8/243 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -4/81 (pow.f64 x 3)))) (/.f64 -8/243 (pow.f64 x 4)))
6
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(*.f64 9 x)
(*.f64 x 9)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(*.f64 9 x)
(*.f64 x 9)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 6 (*.f64 9 x))
(fma.f64 x 9 6)
(+.f64 0 (.f64 x (+.f64 6 (.f64 -9 x))))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 36 (/.f64 x (fma.f64 x 9 6))) (.f64 (.f64 (.f64 x x) -81) (/.f64 x (fma.f64 x 9 6))))
(.f64 (/.f64 x (fma.f64 x 9 6)) (+.f64 36 (.f64 x (*.f64 x -81))))
(/.f64 x (/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36)))
(/.f64 (fma.f64 (pow.f64 x 3) -81 (*.f64 x 36)) (fma.f64 x 9 6))
(+.f64 (.f64 (/.f64 x (fma.f64 x 9 6)) 36) (.f64 (/.f64 x (fma.f64 x 9 6)) (.f64 (.f64 x x) -81)))
(.f64 (/.f64 x (fma.f64 x 9 6)) (+.f64 36 (.f64 x (*.f64 x -81))))
(/.f64 x (/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36)))
(/.f64 (fma.f64 (pow.f64 x 3) -81 (*.f64 x 36)) (fma.f64 x 9 6))
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(/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36))
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(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (.f64 (/.f64 1 (fma.f64 (*.f64 x x) -81 36)) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (/.f64 (cbrt.f64 (fma.f64 x 9 6)) (fma.f64 x (.f64 x -81) 36)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 9 6)) 1) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (fma.f64 (.f64 x x) -81 36)))
(/.f64 (fma.f64 x 9 6) (fma.f64 (*.f64 x x) -81 36))
(/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 (fma.f64 x 9 6) (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(/.f64 (/.f64 (fma.f64 x 9 6) (cbrt.f64 (fma.f64 x (.f64 x -81) 36))) (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -81) 36) 2)))
(/.f64 (fma.f64 x 9 6) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -81) 36) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -81) 36))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 1 (cbrt.f64 (+.f64 6 (*.f64 -9 x)))))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (.f64 x -9)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -81 36) 2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -81) 36) 2))) (cbrt.f64 (fma.f64 x -9 6)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (.f64 (cbrt.f64 (fma.f64 x -9 6)) (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -81) 36) 2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 (sqrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (/.f64 (fma.f64 x 9 6) (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(/.f64 (/.f64 (fma.f64 x 9 6) (cbrt.f64 (fma.f64 x (.f64 x -81) 36))) (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -81) 36) 2)))
(/.f64 (fma.f64 x 9 6) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -81) 36) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -81) 36))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 (fma.f64 x 9 6) (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(/.f64 (fma.f64 x 9 6) (fma.f64 (*.f64 x x) -81 36))
(/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 (cbrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (.f64 (/.f64 1 (fma.f64 (*.f64 x x) -81 36)) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (/.f64 (cbrt.f64 (fma.f64 x 9 6)) (fma.f64 x (.f64 x -81) 36)))
(.f64 (/.f64 (fma.f64 x 9 6) (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))) (fma.f64 (.f64 x (.f64 x 81)) (fma.f64 x (.f64 x 81) 36) 1296))
(.f64 (/.f64 (fma.f64 x 9 6) (-.f64 46656 (.f64 (pow.f64 (.f64 x x) 3) 531441))) (fma.f64 (.f64 81 (.f64 x x)) (fma.f64 x (.f64 x 81) 36) 1296))
(.f64 (/.f64 (fma.f64 x 9 6) (+.f64 46656 (.f64 (pow.f64 x 6) -531441))) (fma.f64 (.f64 x (.f64 x 81)) (fma.f64 x (*.f64 x 81) 36) 1296))
(/.f64 (.f64 (fma.f64 x 9 6) (fma.f64 (.f64 81 (.f64 x x)) (fma.f64 x (.f64 x 81) 36) 1296)) (fma.f64 (pow.f64 x 6) -531441 46656))
(.f64 (/.f64 (fma.f64 x 9 6) (-.f64 1296 (pow.f64 (.f64 x (.f64 x 81)) 2))) (fma.f64 x (.f64 x 81) 36))
(/.f64 (.f64 (fma.f64 x 9 6) (fma.f64 x (.f64 x 81) 36)) (-.f64 1296 (pow.f64 (.f64 81 (.f64 x x)) 2)))
(.f64 (fma.f64 x (.f64 x 81) 36) (/.f64 (fma.f64 x 9 6) (-.f64 1296 (*.f64 (pow.f64 x 4) 6561))))
(.f64 (fma.f64 x (.f64 x 81) 36) (/.f64 (fma.f64 x 9 6) (+.f64 1296 (*.f64 (pow.f64 x 4) -6561))))
(pow.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))) 1)
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))) 3) 1/3)
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 6 (*.f64 -9 x)))) 3)
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 6 (*.f64 -9 x)))) 2)
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (+.f64 6 (*.f64 -9 x)) -1)
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(neg.f64 (/.f64 (fma.f64 x 9 6) (neg.f64 (fma.f64 (*.f64 x x) -81 36))))
(/.f64 (fma.f64 x 9 6) (fma.f64 (*.f64 x x) -81 36))
(/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))) 2))
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(log.f64 (exp.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x)))))
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))))))
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x))) 3))
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 9 6) 3) (pow.f64 (fma.f64 (*.f64 x x) -81 36) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 9 6) 3) (pow.f64 (fma.f64 x (*.f64 x -81) 36) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x)))))
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 6 (*.f64 -9 x)))))
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (neg.f64 (log.f64 (+.f64 6 (*.f64 -9 x)))))
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 6 (.f64 -9 x)))) 1))
(/.f64 1 (+.f64 6 (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 6))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 6))) 1)
(fma.f64 x 9 6)
(-.f64 (/.f64 36 (+.f64 6 (.f64 -9 x))) (/.f64 (.f64 x (.f64 x 81)) (+.f64 6 (.f64 -9 x))))
(-.f64 (/.f64 36 (+.f64 6 (.f64 x -9))) (/.f64 (.f64 81 (.f64 x x)) (+.f64 6 (.f64 x -9))))
(-.f64 (/.f64 36 (fma.f64 x -9 6)) (.f64 (/.f64 x (fma.f64 x -9 6)) (.f64 x 81)))
(+.f64 (/.f64 36 (fma.f64 x -9 6)) (/.f64 (.f64 x (.f64 x -81)) (fma.f64 x -9 6)))
(*.f64 (fma.f64 x 9 6) 1)
(fma.f64 x 9 6)
(.f64 (fma.f64 (.f64 x x) -81 36) (/.f64 1 (+.f64 6 (*.f64 -9 x))))
(/.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(*.f64 1 (fma.f64 x 9 6))
(fma.f64 x 9 6)
(*.f64 (cbrt.f64 (fma.f64 x 9 6)) (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (cbrt.f64 (fma.f64 x 9 6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 9 6) 2)) (cbrt.f64 (fma.f64 x 9 6)))
(*.f64 (sqrt.f64 (fma.f64 x 9 6)) (sqrt.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(.f64 (fma.f64 (pow.f64 x 3) 729 216) (/.f64 1 (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36)))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 (*.f64 x 9) (fma.f64 x 9 -6) 36))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 x (*.f64 9 (fma.f64 x 9 -6)) 36))
(/.f64 (fma.f64 (.f64 x x) -81 36) (+.f64 6 (.f64 -9 x)))
(/.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 9) (fma.f64 x 9 -6) 36) (fma.f64 (pow.f64 x 3) 729 216)))
(.f64 (fma.f64 (pow.f64 x 3) 729 216) (/.f64 1 (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36)))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 (*.f64 x 9) (fma.f64 x 9 -6) 36))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 x (*.f64 9 (fma.f64 x 9 -6)) 36))
(/.f64 1 (/.f64 (+.f64 6 (.f64 -9 x)) (fma.f64 (.f64 x x) -81 36)))
(/.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) -81 36)) (neg.f64 (+.f64 6 (.f64 -9 x))))
(/.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 (*.f64 x 9) (fma.f64 x 9 -6) 36))
(.f64 (fma.f64 (pow.f64 x 3) 729 216) (/.f64 1 (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36)))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 x (*.f64 9 (fma.f64 x 9 -6)) 36))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 x (.f64 x 81) (-.f64 36 (.f64 54 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 x (.f64 x 81) (+.f64 36 (.f64 -54 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 81 (.f64 x x) (-.f64 36 (.f64 x 54))))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 81 (*.f64 x x) (fma.f64 x -54 36)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 729 216)) (neg.f64 (fma.f64 (*.f64 x 9) (fma.f64 x 9 -6) 36)))
(.f64 (fma.f64 (pow.f64 x 3) 729 216) (/.f64 1 (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36)))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 (*.f64 x 9) (fma.f64 x 9 -6) 36))
(/.f64 (fma.f64 (pow.f64 x 3) 729 216) (fma.f64 x (*.f64 9 (fma.f64 x 9 -6)) 36))
(/.f64 (fma.f64 x (*.f64 x 81) -36) (fma.f64 x 9 -6))
(/.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1) (+.f64 6 (*.f64 x -9)))
(/.f64 (fma.f64 x (*.f64 x -81) 36) (fma.f64 x -9 6))
(pow.f64 (fma.f64 x 9 6) 1)
(fma.f64 x 9 6)
(pow.f64 (pow.f64 (fma.f64 x 9 6) 3) 1/3)
(fma.f64 x 9 6)
(pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 3)
(fma.f64 x 9 6)
(pow.f64 (sqrt.f64 (fma.f64 x 9 6)) 2)
(fma.f64 x 9 6)
(sqrt.f64 (pow.f64 (fma.f64 x 9 6) 2))
(fma.f64 x 9 6)
(log.f64 (exp.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 6))))
(fma.f64 x 9 6)
(cbrt.f64 (pow.f64 (fma.f64 x 9 6) 3))
(fma.f64 x 9 6)
(expm1.f64 (log1p.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(log1p.f64 (expm1.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(exp.f64 (log.f64 (fma.f64 x 9 6)))
(fma.f64 x 9 6)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 9 6)) 1))
(fma.f64 x 9 6)
(fma.f64 x 9 6)
(fma.f64 9 x 6)
(fma.f64 x 9 6)
(fma.f64 (*.f64 x 9) 1 6)
(fma.f64 x 9 6)
(fma.f64 1 (*.f64 x 9) 6)
(fma.f64 x 9 6)
(fma.f64 (cbrt.f64 (.f64 x 9)) (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 6)
(fma.f64 x 9 6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (cbrt.f64 (.f64 x 9)) 6)
(fma.f64 x 9 6)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 9) 6)
(fma.f64 x 9 6)
(fma.f64 (.f64 (sqrt.f64 x) 3) (.f64 (sqrt.f64 x) 3) 6)
(fma.f64 x 9 6)
(fma.f64 (sqrt.f64 x) (*.f64 9 (sqrt.f64 x)) 6)
(fma.f64 x 9 6)
(fma.f64 (*.f64 9 (sqrt.f64 x)) (sqrt.f64 x) 6)
(fma.f64 x 9 6)
(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2)) 6)
(fma.f64 x 9 6)
(fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 6)
(fma.f64 x 9 6)

eval407.0ms (9.2%)

Compiler: Compiled 4984 to 3656 computations (26.6% saved)

prune50.0ms (1.1%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	310	5	315
Fresh	2	5	7
Picked	1	0	1
Done	1	5	6
Total	314	15	329

Error

Counts

329 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x 6 (.f64 -9 (.f64 x x)))
▶	0.3b	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
	27.7b	(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 6 x) (.f64 9 (*.f64 x x))))
	7.3b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
▶	39.1b	(/.f64 x (/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81)))))
	0.3b	(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))
▶	38.2b	(/.f64 x (/.f64 -1/9 x))
▶	24.8b	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
▶	25.1b	(/.f64 x 1/6)
✓	38.1b	(.f64 (.f64 x -9) x)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	25.0b	(*.f64 x 6)
✓	0.2b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
	38.1b	(.f64 3 (.f64 (*.f64 x -3) x))
	38.1b	(.f64 -9 (.f64 x x))

Compiler

Compiled 251 to 175 computations (30.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x -9 6)
✓	0.3b	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))

Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
0.0ms	x	@	0	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
0.0ms	x	@	inf	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))

rewrite43.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
711×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	169	8
2	2004	8

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(/.f64 (fma.f64 x -9 6) (/.f64 1 x))

Outputs

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-def_binary64`
396×	`log-prod_binary64`
228×	`unswap-sqr_binary64`
227×	`log-div_binary64`
219×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	536
1	250	404
2	825	404
3	3899	404

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 x 1/6)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x 1/6)
0.0ms	x	@	inf	(/.f64 x 1/6)
0.0ms	x	@	-inf	(/.f64 x 1/6)

rewrite35.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`pow1_binary64`
396×	`add-sqr-sqrt_binary64`
380×	`*-un-lft-identity_binary64`
377×	`add-log-exp_binary64`
377×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	88	4
2	1023	4

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(/.f64 x 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 6)) (pow.f64 (cbrt.f64 (*.f64 x 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 216)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) 36) x) 1/3) (cbrt.f64 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) 36) (pow.f64 (cbrt.f64 (*.f64 x 6)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) 36) (sqrt.f64 (*.f64 x 6))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 6))) 2) 3) (cbrt.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 x)) 2) -1) (cbrt.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/6 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1/6 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 6)))))))

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

559×	`log-prod_binary64`
543×	`fma-neg_binary64`
518×	`distribute-rgt-in_binary64`
378×	`unswap-sqr_binary64`
361×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	332
1	249	329
2	581	326
3	1886	317
4	5725	317

Stop Event

1×	node limit

Counts

51 → 56

Calls

Call 1

Inputs
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(+.f64 0 (*.f64 x 6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 6))))
(-.f64 (+.f64 1 (*.f64 x 6)) 1)
(*.f64 x 6)
(*.f64 x (pow.f64 (cbrt.f64 6) 3))
(*.f64 x (pow.f64 (sqrt.f64 6) 2))
(.f64 (.f64 x 6) 1)
(.f64 1 (.f64 x 6))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) 6))
(.f64 (cbrt.f64 (.f64 x 6)) (pow.f64 (cbrt.f64 (*.f64 x 6)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6))
(.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (*.f64 x 6)))
(*.f64 (neg.f64 x) -6)
(*.f64 6 x)
(*.f64 6 (pow.f64 (/.f64 1 x) -1))
(.f64 (pow.f64 1 1/3) (.f64 x 6))
(.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 x 3) 216)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 216)) 1/3))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) 36) x) 1/3) (cbrt.f64 6))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) 36) (pow.f64 (cbrt.f64 (.f64 x 6)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x 6))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) 36) (sqrt.f64 (.f64 x 6))) 1/3) (cbrt.f64 (sqrt.f64 (.f64 x 6))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 6))) 2) 3) (cbrt.f64 (*.f64 x 6)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x 6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 6))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 x)) 2) -1) (cbrt.f64 (.f64 x 6)))
(pow.f64 (*.f64 x 6) 1)
(pow.f64 (.f64 (.f64 x x) 36) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 216) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
(pow.f64 (/.f64 1/6 x) -1)
(pow.f64 (/.f64 (/.f64 1/6 x) 1) -1)
(neg.f64 (/.f64 x -1/6))
(sqrt.f64 (.f64 (.f64 x x) 36))
(log.f64 (pow.f64 (exp.f64 x) 6))
(cbrt.f64 (*.f64 (pow.f64 x 3) 216))
(expm1.f64 (log1p.f64 (*.f64 x 6)))
(log1p.f64 (expm1.f64 (*.f64 x 6)))
(exp.f64 (log.f64 (*.f64 x 6)))

Outputs
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 x)
(+.f64 0 (*.f64 x 6))
(*.f64 6 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 6))))
(*.f64 6 x)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 6))))
(*.f64 6 x)
(-.f64 (+.f64 1 (*.f64 x 6)) 1)
(*.f64 6 x)
(*.f64 x 6)
(*.f64 6 x)
(*.f64 x (pow.f64 (cbrt.f64 6) 3))
(*.f64 6 x)
(*.f64 x (pow.f64 (sqrt.f64 6) 2))
(*.f64 6 x)
(.f64 (.f64 x 6) 1)
(*.f64 6 x)
(.f64 1 (.f64 x 6))
(*.f64 6 x)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) 6))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 6 (cbrt.f64 x)))
(.f64 6 (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x 6)) (pow.f64 (cbrt.f64 (*.f64 x 6)) 2))
(*.f64 6 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)))
(*.f64 6 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6))
(*.f64 6 x)
(.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (*.f64 x 6)))
(*.f64 6 x)
(*.f64 (neg.f64 x) -6)
(*.f64 6 x)
(*.f64 6 x)
(*.f64 6 (pow.f64 (/.f64 1 x) -1))
(*.f64 6 x)
(.f64 (pow.f64 1 1/3) (.f64 x 6))
(*.f64 6 x)
(.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 x 3) 216)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 216)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (pow.f64 x 3) 216))) (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 216))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 216)) 1/6) 4)
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) 36) x) 1/3) (cbrt.f64 6))
(.f64 (cbrt.f64 6) (cbrt.f64 (.f64 x (.f64 x (.f64 x 36)))))
(.f64 (cbrt.f64 6) (cbrt.f64 (.f64 (pow.f64 x 3) 36)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) 36) (pow.f64 (cbrt.f64 (.f64 x 6)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x 6))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 36 (pow.f64 (cbrt.f64 (.f64 6 x)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 6 x))))
(.f64 (cbrt.f64 (.f64 x (.f64 (.f64 x 36) (pow.f64 (cbrt.f64 (.f64 6 x)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 6 x))))
(.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 (pow.f64 (cbrt.f64 (.f64 6 x)) 2) 36)))) (cbrt.f64 (cbrt.f64 (.f64 6 x))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) 36) (sqrt.f64 (.f64 x 6))) 1/3) (cbrt.f64 (sqrt.f64 (.f64 x 6))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 36 (sqrt.f64 (.f64 6 x))))) (cbrt.f64 (sqrt.f64 (.f64 6 x))))
(.f64 (cbrt.f64 (.f64 x (.f64 (.f64 x 36) (sqrt.f64 (.f64 6 x))))) (cbrt.f64 (sqrt.f64 (.f64 6 x))))
(.f64 (cbrt.f64 (.f64 x (.f64 (sqrt.f64 (.f64 6 x)) (.f64 x 36)))) (cbrt.f64 (sqrt.f64 (.f64 6 x))))
(.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 (sqrt.f64 (.f64 6 x)) 36)))) (cbrt.f64 (sqrt.f64 (.f64 6 x))))
(.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 (sqrt.f64 (.f64 6 x)) 36)))) (sqrt.f64 (cbrt.f64 (.f64 6 x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 6))) 2) 3) (cbrt.f64 (*.f64 x 6)))
(*.f64 6 x)
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x 6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 6))) 3))
(*.f64 6 x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 x)) 2) -1) (cbrt.f64 (.f64 x 6)))
(.f64 (cbrt.f64 (.f64 6 x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/6 x)) 2)))
(/.f64 (cbrt.f64 (*.f64 6 x)) (pow.f64 (cbrt.f64 (/.f64 1/6 x)) 2))
(pow.f64 (*.f64 x 6) 1)
(*.f64 6 x)
(pow.f64 (.f64 (.f64 x x) 36) 1/2)
(sqrt.f64 (.f64 x (.f64 x 36)))
(sqrt.f64 (.f64 (.f64 x x) 36))
(pow.f64 (*.f64 (pow.f64 x 3) 216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 216))
(pow.f64 (cbrt.f64 (*.f64 x 6)) 3)
(*.f64 6 x)
(pow.f64 (sqrt.f64 (*.f64 x 6)) 2)
(*.f64 6 x)
(pow.f64 (/.f64 1/6 x) -1)
(*.f64 6 x)
(pow.f64 (/.f64 (/.f64 1/6 x) 1) -1)
(*.f64 6 x)
(neg.f64 (/.f64 x -1/6))
(*.f64 6 x)
(sqrt.f64 (.f64 (.f64 x x) 36))
(sqrt.f64 (.f64 x (.f64 x 36)))
(log.f64 (pow.f64 (exp.f64 x) 6))
(*.f64 6 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 216))
(expm1.f64 (log1p.f64 (*.f64 x 6)))
(*.f64 6 x)
(log1p.f64 (expm1.f64 (*.f64 x 6)))
(*.f64 6 x)
(exp.f64 (log.f64 (*.f64 x 6)))
(*.f64 6 x)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 -1/9 x))
✓	0.4b	(/.f64 -1/9 x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series3.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 -1/9 x)
0.0ms	x	@	inf	(/.f64 -1/9 x)
0.0ms	x	@	-inf	(/.f64 -1/9 x)
0.0ms	x	@	inf	(/.f64 x (/.f64 -1/9 x))
0.0ms	x	@	0	(/.f64 x (/.f64 -1/9 x))

rewrite42.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`pow1_binary64`
545×	`add-log-exp_binary64`
545×	`log1p-expm1-u_binary64`
545×	`expm1-log1p-u_binary64`
534×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	113	11
2	1508	11

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(/.f64 -1/9 x)
(/.f64 x (/.f64 -1/9 x))

Outputs

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

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

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

736×	`times-frac_binary64`
455×	`unswap-sqr_binary64`
434×	`associate-/r*_binary64`
356×	`associate-*l/_binary64`
326×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	570
1	319	513
2	1154	456

Stop Event

1×	node limit

Counts

70 → 65

Calls

Call 1

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/6 (*.f64 x 1/4))
✓	0.2b	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
0.0ms	x	@	inf	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
0.0ms	x	@	-inf	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
0.0ms	x	@	inf	(+.f64 1/6 (*.f64 x 1/4))
0.0ms	x	@	0	(+.f64 1/6 (*.f64 x 1/4))

rewrite72.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`pow1_binary64`
804×	`add-log-exp_binary64`
804×	`log1p-expm1-u_binary64`
804×	`expm1-log1p-u_binary64`
791×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	159	13
2	2083	13

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
(+.f64 1/6 (*.f64 x 1/4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/4 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/4 1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 x (sqrt.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3))) (+.f64 1/36 (-.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1/36 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/6 (*.f64 -1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/4 1/6) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/4 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/4 1/6))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 1/4 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 -1/4 x))) (/.f64 (*.f64 (*.f64 x x) 1/16) (+.f64 1/6 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/4 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/4 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2) (cbrt.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) (sqrt.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3)) (/.f64 1 (+.f64 1/36 (-.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 1/24 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/36 (*.f64 (*.f64 x x) 1/16)) (/.f64 1 (+.f64 1/6 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/36 (-.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 1/24 x))) (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/6 (*.f64 -1/4 x)) (-.f64 1/36 (*.f64 (*.f64 x x) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3)) (+.f64 1/36 (-.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3)) (+.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 1/36 (*.f64 1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (*.f64 (*.f64 x x) 1/16)) (+.f64 1/6 (*.f64 -1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3))) (neg.f64 (+.f64 1/36 (-.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 1/24 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/36 (*.f64 (*.f64 x x) 1/16))) (neg.f64 (+.f64 1/6 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) 1/36) (-.f64 (*.f64 x 1/4) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/4 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/4 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/4 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 x 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/16)) (cbrt.f64 (*.f64 x 1/4)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 1/2) (*.f64 (sqrt.f64 x) 1/2) 1/6)))))

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-/r*_binary64`
473×	`associate-/l*_binary64`
451×	`fma-def_binary64`
449×	`unswap-sqr_binary64`
374×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	1100
1	476	951
2	1688	820

Stop Event

1×	node limit

Counts

89 → 112

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (*.f64 -9 (pow.f64 x 2))))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (+.f64 (.f64 -81/4 (pow.f64 x 4)) (.f64 -9 (pow.f64 x 2)))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(*.f64 1/4 x)
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(*.f64 1/4 x)
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 1/4 x))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/4 1/6))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/4 1/6)))
(*.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/4 1/6)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 1 (fma.f64 x 1/4 1/6)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/4 1/6)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/4 1/6)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 x (sqrt.f64 (fma.f64 x 1/4 1/6))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/4 1/6))))
(.f64 (/.f64 x (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3))) (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 1/24 x))))
(.f64 (/.f64 x (-.f64 1/36 (.f64 (.f64 x x) 1/16))) (+.f64 1/6 (.f64 -1/4 x)))
(pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/4 1/6) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/4 1/6))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/4 1/6) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(-.f64 (+.f64 1 (fma.f64 x 1/4 1/6)) 1)
(-.f64 (/.f64 1/36 (+.f64 1/6 (.f64 -1/4 x))) (/.f64 (.f64 (.f64 x x) 1/16) (+.f64 1/6 (.f64 -1/4 x))))
(*.f64 (fma.f64 x 1/4 1/6) 1)
(*.f64 1 (fma.f64 x 1/4 1/6))
(*.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2) (cbrt.f64 (fma.f64 x 1/4 1/6)))
(*.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) (sqrt.f64 (fma.f64 x 1/4 1/6)))
(.f64 (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3)) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 1/24 x)))))
(.f64 (-.f64 1/36 (.f64 (.f64 x x) 1/16)) (/.f64 1 (+.f64 1/6 (.f64 -1/4 x))))
(/.f64 1 (/.f64 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (.f64 1/24 x))) (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3))))
(/.f64 1 (/.f64 (+.f64 1/6 (.f64 -1/4 x)) (-.f64 1/36 (.f64 (*.f64 x x) 1/16))))
(/.f64 (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3)) (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (.f64 1/24 x))))
(/.f64 (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3)) (+.f64 (.f64 (.f64 x x) 1/16) (-.f64 1/36 (.f64 1/24 x))))
(/.f64 (-.f64 1/36 (.f64 (.f64 x x) 1/16)) (+.f64 1/6 (*.f64 -1/4 x)))
(/.f64 (neg.f64 (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3))) (neg.f64 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (.f64 1/24 x)))))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 (.f64 x x) 1/16))) (neg.f64 (+.f64 1/6 (*.f64 -1/4 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/16) 1/36) (-.f64 (*.f64 x 1/4) 1/6))
(pow.f64 (fma.f64 x 1/4 1/6) 1)
(pow.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 2))
(log.f64 (exp.f64 (fma.f64 x 1/4 1/6)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/4 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/4 1/6)))
(exp.f64 (log.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(fma.f64 1/4 x 1/6)
(fma.f64 1 (*.f64 x 1/4) 1/6)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/16)) (cbrt.f64 (*.f64 x 1/4)) 1/6)
(fma.f64 (.f64 (sqrt.f64 x) 1/2) (.f64 (sqrt.f64 x) 1/2) 1/6)

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 -9 (.f64 x x) (.f64 6 x))
(.f64 x (+.f64 6 (.f64 -9 x)))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (*.f64 -9 (pow.f64 x 2))))
(fma.f64 6 x (fma.f64 27/2 (pow.f64 x 3) (.f64 -9 (.f64 x x))))
(fma.f64 6 x (fma.f64 -9 (.f64 x x) (.f64 27/2 (pow.f64 x 3))))
(fma.f64 6 x (.f64 (.f64 x x) (+.f64 -9 (*.f64 x 27/2))))
(+.f64 (.f64 6 x) (+.f64 (.f64 27/2 (pow.f64 x 3)) (+.f64 (.f64 -81/4 (pow.f64 x 4)) (.f64 -9 (pow.f64 x 2)))))
(fma.f64 6 x (fma.f64 27/2 (pow.f64 x 3) (fma.f64 -81/4 (pow.f64 x 4) (.f64 -9 (.f64 x x)))))
(fma.f64 6 x (fma.f64 27/2 (pow.f64 x 3) (fma.f64 -9 (.f64 x x) (.f64 -81/4 (pow.f64 x 4)))))
(fma.f64 6 x (fma.f64 -81/4 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 -9 (*.f64 x 27/2)))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 4 (/.f64 8/3 x))
(+.f64 4 (/.f64 -8/3 x))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (/.f64 16/9 (*.f64 x x))) (/.f64 8/3 x))
(+.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 4 (/.f64 -8/3 x)))
(+.f64 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 4 (/.f64 16/9 (*.f64 x x))) (+.f64 (/.f64 8/3 x) (/.f64 32/27 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 4 (/.f64 -8/3 x))) (/.f64 32/27 (pow.f64 x 3)))
(+.f64 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (-.f64 (/.f64 -8/3 x) (/.f64 32/27 (pow.f64 x 3)))))
4
(-.f64 4 (*.f64 8/3 (/.f64 1 x)))
(-.f64 4 (/.f64 8/3 x))
(+.f64 4 (/.f64 -8/3 x))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 4 (/.f64 16/9 (*.f64 x x))) (/.f64 8/3 x))
(+.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 4 (/.f64 -8/3 x)))
(+.f64 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x)))
(-.f64 (+.f64 4 (.f64 16/9 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8/3 (/.f64 1 x)) (*.f64 32/27 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 4 (/.f64 16/9 (*.f64 x x))) (+.f64 (/.f64 8/3 x) (/.f64 32/27 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 4 (/.f64 -8/3 x))) (/.f64 32/27 (pow.f64 x 3)))
(+.f64 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (-.f64 (/.f64 -8/3 x) (/.f64 32/27 (pow.f64 x 3)))))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (*.f64 1/4 x))
(fma.f64 x 1/4 1/6)
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/4 1/6))) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 x (/.f64 1 (fma.f64 x 1/4 1/6)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 1 (/.f64 x (fma.f64 x 1/4 1/6)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 1 (fma.f64 x 1/4 1/6)) x)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/4 1/6)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/4 1/6)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 x (sqrt.f64 (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/4 1/6))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(.f64 (/.f64 x (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3))) (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 1/24 x))))
(.f64 (/.f64 x (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64))) (+.f64 1/36 (fma.f64 (.f64 x x) 1/16 (neg.f64 (.f64 x 1/24)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 3) 1/64 1/216)) (+.f64 1/36 (.f64 x (-.f64 (*.f64 x 1/16) 1/24))))
(*.f64 x (/.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) (fma.f64 (pow.f64 x 3) 1/64 1/216)))
(.f64 (/.f64 x (-.f64 1/36 (.f64 (.f64 x x) 1/16))) (+.f64 1/6 (.f64 -1/4 x)))
(.f64 (/.f64 x (-.f64 1/36 (.f64 x (.f64 x 1/16)))) (+.f64 1/6 (.f64 x -1/4)))
(/.f64 x (/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6)))
(.f64 x (/.f64 (fma.f64 x -1/4 1/6) (fma.f64 x (.f64 x -1/16) 1/36)))
(pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/4 1/6))) 2)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(pow.f64 (/.f64 (fma.f64 x 1/4 1/6) x) -1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 3))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/4 1/6) 3)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/4 1/6))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 1))
(+.f64 (/.f64 x (fma.f64 x 1/4 1/6)) 0)
(/.f64 x (fma.f64 x 1/4 1/6))
(-.f64 (+.f64 1 (fma.f64 x 1/4 1/6)) 1)
(fma.f64 x 1/4 1/6)
(-.f64 (/.f64 1/36 (+.f64 1/6 (.f64 -1/4 x))) (/.f64 (.f64 (.f64 x x) 1/16) (+.f64 1/6 (.f64 -1/4 x))))
(/.f64 (-.f64 1/36 (.f64 x (.f64 x 1/16))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 x (*.f64 x -1/16) 1/36) (fma.f64 x -1/4 1/6))
(*.f64 (fma.f64 x 1/4 1/6) 1)
(fma.f64 x 1/4 1/6)
(*.f64 1 (fma.f64 x 1/4 1/6))
(fma.f64 x 1/4 1/6)
(*.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2))
(fma.f64 x 1/4 1/6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 2) (cbrt.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(*.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) (sqrt.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(.f64 (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3)) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 1/24 x)))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (fma.f64 (.f64 x x) 1/16 (neg.f64 (.f64 x 1/24))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (-.f64 (.f64 x 1/16) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36))
(.f64 (-.f64 1/36 (.f64 (.f64 x x) 1/16)) (/.f64 1 (+.f64 1/6 (.f64 -1/4 x))))
(/.f64 (-.f64 1/36 (.f64 x (.f64 x 1/16))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 x (*.f64 x -1/16) 1/36) (fma.f64 x -1/4 1/6))
(/.f64 1 (/.f64 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (.f64 1/24 x))) (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (fma.f64 (.f64 x x) 1/16 (neg.f64 (.f64 x 1/24))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (-.f64 (.f64 x 1/16) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36))
(/.f64 1 (/.f64 (+.f64 1/6 (.f64 -1/4 x)) (-.f64 1/36 (.f64 (*.f64 x x) 1/16))))
(/.f64 (-.f64 1/36 (.f64 x (.f64 x 1/16))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 x (*.f64 x -1/16) 1/36) (fma.f64 x -1/4 1/6))
(/.f64 (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3)) (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (.f64 1/24 x))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (fma.f64 (.f64 x x) 1/16 (neg.f64 (.f64 x 1/24))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (-.f64 (.f64 x 1/16) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36))
(/.f64 (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3)) (+.f64 (.f64 (.f64 x x) 1/16) (-.f64 1/36 (.f64 1/24 x))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (fma.f64 (.f64 x x) 1/16 (neg.f64 (.f64 x 1/24))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (-.f64 (.f64 x 1/16) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36))
(/.f64 (-.f64 1/36 (.f64 (.f64 x x) 1/16)) (+.f64 1/6 (*.f64 -1/4 x)))
(/.f64 (-.f64 1/36 (.f64 x (.f64 x 1/16))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 x (*.f64 x -1/16) 1/36) (fma.f64 x -1/4 1/6))
(/.f64 (neg.f64 (+.f64 1/216 (pow.f64 (.f64 x 1/4) 3))) (neg.f64 (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (.f64 1/24 x)))))
(.f64 (+.f64 1/216 (.f64 (pow.f64 x 3) 1/64)) (/.f64 1 (+.f64 1/36 (fma.f64 (.f64 x x) 1/16 (neg.f64 (.f64 x 1/24))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (+.f64 1/36 (.f64 x (-.f64 (.f64 x 1/16) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/64 1/216) (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 (.f64 x x) 1/16))) (neg.f64 (+.f64 1/6 (*.f64 -1/4 x))))
(/.f64 (-.f64 1/36 (.f64 x (.f64 x 1/16))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 x (*.f64 x -1/16) 1/36) (fma.f64 x -1/4 1/6))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/16) 1/36) (-.f64 (*.f64 x 1/4) 1/6))
(/.f64 (-.f64 1/36 (.f64 x (.f64 x 1/16))) (+.f64 1/6 (*.f64 x -1/4)))
(/.f64 (+.f64 1/36 (.f64 (.f64 x x) -1/16)) (fma.f64 x -1/4 1/6))
(/.f64 (fma.f64 x (*.f64 x -1/16) 1/36) (fma.f64 x -1/4 1/6))
(pow.f64 (fma.f64 x 1/4 1/6) 1)
(fma.f64 x 1/4 1/6)
(pow.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3) 1/3)
(fma.f64 x 1/4 1/6)
(pow.f64 (cbrt.f64 (fma.f64 x 1/4 1/6)) 3)
(fma.f64 x 1/4 1/6)
(pow.f64 (sqrt.f64 (fma.f64 x 1/4 1/6)) 2)
(fma.f64 x 1/4 1/6)
(sqrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 2))
(fma.f64 x 1/4 1/6)
(log.f64 (exp.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(cbrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3))
(fma.f64 x 1/4 1/6)
(expm1.f64 (log1p.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(log1p.f64 (expm1.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(exp.f64 (log.f64 (fma.f64 x 1/4 1/6)))
(fma.f64 x 1/4 1/6)
(fma.f64 x 1/4 1/6)
(fma.f64 1/4 x 1/6)
(fma.f64 x 1/4 1/6)
(fma.f64 1 (*.f64 x 1/4) 1/6)
(fma.f64 x 1/4 1/6)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/16)) (cbrt.f64 (*.f64 x 1/4)) 1/6)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (cbrt.f64 (*.f64 x 1/4)) 1/6)
(fma.f64 (.f64 (sqrt.f64 x) 1/2) (.f64 (sqrt.f64 x) 1/2) 1/6)
(fma.f64 x 1/4 1/6)

localize25.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81)))))
✓	0.2b	(/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81))))
	0.2b	(.f64 x (.f64 x 81))

Compiler

Compiled 47 to 33 computations (29.8% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81))))
1.0ms	x	@	inf	(/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81))))
0.0ms	x	@	-inf	(/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81))))
0.0ms	x	@	inf	(/.f64 x (/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81)))))
0.0ms	x	@	0	(/.f64 x (/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81)))))

rewrite60.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
306×	`pow2_binary64`
248×	`pow-unpow_binary64`
211×	`pow1/3_binary64`
209×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	252	35
2	3512	25

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs
(/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81))))
(/.f64 x (/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81)))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (*.f64 (*.f64 (*.f64 x x) -81) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (*.f64 1/9 (*.f64 (*.f64 x x) -81)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (*.f64 x x) -81 36))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (*.f64 x x) -81 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (*.f64 x x) -81 36)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (*.f64 x x) -81 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 4 (/.f64 (*.f64 x (*.f64 x 81)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (*.f64 x -9) (fma.f64 (*.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (fma.f64 (*.f64 x x) -81 36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 x 9)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 9)) (/.f64 x (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x 9)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))) -2) (/.f64 x (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)) -2))) (cbrt.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))) -1/2) (/.f64 x (pow.f64 (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x -9)) (neg.f64 (fma.f64 (*.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -81 36)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/9 (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))) (sqrt.f64 (fma.f64 (*.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 (fma.f64 (*.f64 x x) -81 36) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 9 (fma.f64 (*.f64 x x) -81 36)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (*.f64 x -9) (fma.f64 (*.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 (fma.f64 (*.f64 x x) -81 36) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (*.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 36 (*.f64 x 9)) (*.f64 x 9)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 36 1/9 (*.f64 (*.f64 (*.f64 x x) -81) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 36 (*.f64 1/9 (*.f64 (*.f64 x x) -81)))))))

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-/r/_binary64`
528×	`fma-def_binary64`
413×	`associate-/l/_binary64`
340×	`unswap-sqr_binary64`
312×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	2055
1	771	1696
2	2642	1640

Stop Event

1×	node limit

Counts

129 → 185

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 1/4 x) (.f64 9/16 (pow.f64 x 3)))
(+.f64 (.f64 81/64 (pow.f64 x 5)) (+.f64 (.f64 1/4 x) (*.f64 9/16 (pow.f64 x 3))))
(+.f64 (.f64 729/256 (pow.f64 x 7)) (+.f64 (.f64 81/64 (pow.f64 x 5)) (+.f64 (.f64 1/4 x) (.f64 9/16 (pow.f64 x 3)))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 16/729 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 64/6561 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 16/729 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 16/729 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (.f64 64/6561 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 16/729 (/.f64 1 (pow.f64 x 5)))))))
4
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 0 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))))) 1)
(.f64 x (/.f64 1 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))
(.f64 x (.f64 9 (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))
(.f64 9 (.f64 x (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (.f64 x 9) (/.f64 1 (fma.f64 (*.f64 x x) -81 36)))
(.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))) 1)
(.f64 1 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))))
(.f64 (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2)) (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (.f64 (cbrt.f64 (.f64 x 9)) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -1/2) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -1/2))
(.f64 (.f64 (sqrt.f64 x) 3) (.f64 (.f64 (sqrt.f64 x) 3) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (.f64 x -9) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) -81 36)) (*.f64 x 9))
(.f64 (/.f64 x 1) (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(.f64 (/.f64 x (fma.f64 (.f64 x x) -81 36)) 9)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 1) (/.f64 (cbrt.f64 (.f64 x 9)) (fma.f64 (.f64 x x) -81 36)))
(.f64 (/.f64 (.f64 (sqrt.f64 x) 3) 1) (/.f64 (.f64 (sqrt.f64 x) 3) (fma.f64 (.f64 x x) -81 36)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (/.f64 9 (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 9 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (/.f64 x (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) -2) (/.f64 (.f64 x 9) (cbrt.f64 (fma.f64 (.f64 x x) -81 36))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) 3) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (/.f64 (.f64 (sqrt.f64 x) 3) (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 9 (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 9 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) -1/2) (/.f64 (.f64 x 9) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 (cbrt.f64 (.f64 x 9)) (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 (.f64 x 9) (-.f64 46656 (.f64 (pow.f64 x 6) 531441))) (fma.f64 (.f64 x (.f64 x 81)) (fma.f64 x (.f64 x 81) 36) 1296))
(.f64 (/.f64 (.f64 x 9) (-.f64 1296 (pow.f64 (.f64 x 9) 4))) (fma.f64 x (.f64 x 81) 36))
(pow.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))) 1)
(pow.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3) 1/3)
(pow.f64 (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -1/2) 2)
(pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 x 9) 3) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) 1) -1)
(neg.f64 (/.f64 (.f64 x 9) (neg.f64 (fma.f64 (.f64 x x) -81 36))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2))
(log.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x 9) 3) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)))
(expm1.f64 (log1p.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))
(log1p.f64 (expm1.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))
(exp.f64 (log.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))
(exp.f64 (.f64 (log.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))) 1))
(+.f64 0 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9))
(+.f64 4 (.f64 (.f64 (*.f64 x x) -81) 1/9))
(+.f64 4 (.f64 1/9 (.f64 (*.f64 x x) -81)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (.f64 x x) -81 36))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (.f64 x x) -81 36)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (.f64 x x) -81 36)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (.f64 x x) -81 36)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9))) 1)
(-.f64 4 (/.f64 (.f64 x (.f64 x 81)) 9))
(.f64 x (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)))
(.f64 (fma.f64 (.f64 x x) -81 36) 1/9)
(.f64 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9) 1)
(.f64 1 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9))
(.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)) (cbrt.f64 (.f64 1/81 (pow.f64 (fma.f64 (*.f64 x x) -81 36) 2))))
(.f64 (cbrt.f64 (.f64 1/81 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (cbrt.f64 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9))))
(.f64 (.f64 1/3 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (.f64 1/3 (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9))))
(.f64 (neg.f64 x) (/.f64 1 (/.f64 (.f64 x -9) (fma.f64 (*.f64 x x) -81 36))))
(.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) x)
(.f64 1/9 (fma.f64 (.f64 x x) -81 36))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))
(.f64 (/.f64 (sqrt.f64 x) (.f64 x 9)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 1 (.f64 x 9)) (/.f64 x (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x 9)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 (pow.f64 (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))) -2) (/.f64 x (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2))) (cbrt.f64 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))))))
(.f64 (pow.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))) -1/2) (/.f64 x (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -1/2)))
(.f64 (/.f64 x 1) (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)))
(.f64 (/.f64 x (.f64 x -9)) (neg.f64 (fma.f64 (*.f64 x x) -81 36)))
(.f64 (.f64 1/9 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (cbrt.f64 (fma.f64 (.f64 x x) -81 36)))
(.f64 (.f64 1/9 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (sqrt.f64 (fma.f64 (.f64 x x) -81 36)))
(pow.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9) 1)
(pow.f64 (.f64 1/81 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)) 3)
(pow.f64 (.f64 1/3 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) 2)
(pow.f64 (/.f64 1 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3)) 1/3)
(pow.f64 (/.f64 9 (fma.f64 (*.f64 x x) -81 36)) -1)
(pow.f64 (/.f64 (/.f64 1 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)) 1) -1)
(neg.f64 (/.f64 x (/.f64 (.f64 x -9) (fma.f64 (.f64 x x) -81 36))))
(sqrt.f64 (.f64 1/81 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2)))
(log.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (*.f64 x x) -81 36)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)))
(exp.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)) 1))
(fma.f64 36 1/9 (.f64 (.f64 (*.f64 x x) -81) 1/9))
(fma.f64 1/9 36 (.f64 1/9 (.f64 (*.f64 x x) -81)))

Outputs
(*.f64 1/4 x)
(+.f64 (.f64 1/4 x) (.f64 9/16 (pow.f64 x 3)))
(fma.f64 1/4 x (*.f64 9/16 (pow.f64 x 3)))
(fma.f64 9/16 (pow.f64 x 3) (*.f64 1/4 x))
(+.f64 (.f64 81/64 (pow.f64 x 5)) (+.f64 (.f64 1/4 x) (*.f64 9/16 (pow.f64 x 3))))
(fma.f64 81/64 (pow.f64 x 5) (fma.f64 1/4 x (*.f64 9/16 (pow.f64 x 3))))
(fma.f64 81/64 (pow.f64 x 5) (fma.f64 9/16 (pow.f64 x 3) (*.f64 1/4 x)))
(+.f64 (.f64 729/256 (pow.f64 x 7)) (+.f64 (.f64 81/64 (pow.f64 x 5)) (+.f64 (.f64 1/4 x) (.f64 9/16 (pow.f64 x 3)))))
(fma.f64 729/256 (pow.f64 x 7) (fma.f64 81/64 (pow.f64 x 5) (fma.f64 1/4 x (*.f64 9/16 (pow.f64 x 3)))))
(fma.f64 729/256 (pow.f64 x 7) (fma.f64 81/64 (pow.f64 x 5) (fma.f64 9/16 (pow.f64 x 3) (*.f64 1/4 x))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4/81 (pow.f64 x 3)) (/.f64 1/9 x)))
(+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x))
(neg.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 16/729 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 4/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 16/729 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x)) (/.f64 16/729 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x)) (/.f64 -16/729 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 64/6561 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 16/729 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 16/729 (pow.f64 x 5)))) (/.f64 64/6561 (pow.f64 x 7))))
(+.f64 (-.f64 (+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x)) (/.f64 16/729 (pow.f64 x 5))) (/.f64 -64/6561 (pow.f64 x 7)))
(+.f64 (+.f64 (+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x)) (/.f64 -16/729 (pow.f64 x 5))) (/.f64 -64/6561 (pow.f64 x 7)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4/81 (pow.f64 x 3)) (/.f64 1/9 x)))
(+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x))
(neg.f64 (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (*.f64 16/729 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 4/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 16/729 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x)) (/.f64 16/729 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x)) (/.f64 -16/729 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 64/6561 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 16/729 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 16/729 (pow.f64 x 5)))) (/.f64 64/6561 (pow.f64 x 7))))
(+.f64 (-.f64 (+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x)) (/.f64 16/729 (pow.f64 x 5))) (/.f64 -64/6561 (pow.f64 x 7)))
(+.f64 (+.f64 (+.f64 (/.f64 -4/81 (pow.f64 x 3)) (/.f64 -1/9 x)) (/.f64 -16/729 (pow.f64 x 5))) (/.f64 -64/6561 (pow.f64 x 7)))
4
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 4 (*.f64 -9 (pow.f64 x 2)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 0 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 (.f64 x x) -81 36)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 (.f64 x x) -81 36))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (/.f64 x (fma.f64 (.f64 x x) -81 36))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))))) 1)
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 x (/.f64 1 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 x (.f64 9 (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 9 (.f64 x (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (.f64 x 9) (/.f64 1 (fma.f64 (*.f64 x x) -81 36)))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))) 1)
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 1 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -2)))
(.f64 (cbrt.f64 (.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -2)))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 4 x) (*.f64 x -9)) -2)))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))) (cbrt.f64 (pow.f64 (fma.f64 x -9 (/.f64 4 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2)) (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -2)))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 4 x) (*.f64 x -9)) -2)))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))) (cbrt.f64 (pow.f64 (fma.f64 x -9 (/.f64 4 x)) -2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (.f64 (cbrt.f64 (.f64 x 9)) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -1/2) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -1/2))
(/.f64 1 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)))
(/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 (/.f64 4 x)))
(.f64 (.f64 (sqrt.f64 x) 3) (.f64 (.f64 (sqrt.f64 x) 3) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (.f64 x -9) (/.f64 1 (neg.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) -81 36)) (*.f64 x 9))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 x 1) (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 x (fma.f64 (.f64 x x) -81 36)) 9)
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) 1) (/.f64 (cbrt.f64 (.f64 x 9)) (fma.f64 (.f64 x x) -81 36)))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 (.f64 (sqrt.f64 x) 3) 1) (/.f64 (.f64 (sqrt.f64 x) 3) (fma.f64 (.f64 x x) -81 36)))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (/.f64 9 (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 9 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (/.f64 x (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) -2) (/.f64 (.f64 x 9) (cbrt.f64 (fma.f64 (.f64 x x) -81 36))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) -2) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -81 36)) 9)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -81) 36)) -2) (/.f64 (.f64 x 9) (cbrt.f64 (fma.f64 x (.f64 x -81) 36))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -81) 36)) -2) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -81) 36)) 9)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -81 36)) 2)))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -81) 36)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -81) 36)) 2) (cbrt.f64 (/.f64 x (fma.f64 -9 (*.f64 x x) 4)))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) 3) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (/.f64 (.f64 (sqrt.f64 x) 3) (cbrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 9 (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 9 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) -1/2) (/.f64 (.f64 x 9) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))))
(/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) -1/2) (.f64 x 9)) (sqrt.f64 (fma.f64 (.f64 x x) -81 36)))
(.f64 (pow.f64 (fma.f64 x (.f64 x -81) 36) -1/2) (.f64 x (/.f64 9 (sqrt.f64 (fma.f64 x (.f64 x -81) 36)))))
(/.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -81) 36) -1/2) x) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -81) 36)) 9))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 9)) 2) (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (/.f64 (cbrt.f64 (.f64 x 9)) (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(.f64 (/.f64 (.f64 x 9) (-.f64 46656 (.f64 (pow.f64 x 6) 531441))) (fma.f64 (.f64 x (.f64 x 81)) (fma.f64 x (.f64 x 81) 36) 1296))
(.f64 (/.f64 9 (/.f64 (+.f64 46656 (.f64 (pow.f64 x 6) -531441)) x)) (fma.f64 (.f64 (.f64 x x) 81) (fma.f64 x (*.f64 x 81) 36) 1296))
(.f64 (.f64 (/.f64 9 (fma.f64 (pow.f64 x 6) -531441 46656)) x) (fma.f64 (fma.f64 x (.f64 x 81) 36) (.f64 (*.f64 x x) 81) 1296))
(.f64 (/.f64 (.f64 x 9) (-.f64 1296 (pow.f64 (.f64 x 9) 4))) (fma.f64 x (.f64 x 81) 36))
(.f64 (fma.f64 x (.f64 x 81) 36) (/.f64 x (/.f64 (-.f64 1296 (pow.f64 (*.f64 x 9) 4)) 9)))
(/.f64 (.f64 x (fma.f64 x (.f64 x 81) 36)) (/.f64 (-.f64 1296 (*.f64 (pow.f64 x 4) 6561)) 9))
(pow.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))) 1)
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(pow.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2) 1/2)
(/.f64 1 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)))
(/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 (/.f64 4 x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 4 x) (*.f64 x -9)) -3))
(cbrt.f64 (pow.f64 (fma.f64 x -9 (/.f64 4 x)) -3))
(pow.f64 (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))) 3)
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(pow.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -1/2) 2)
(/.f64 1 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)))
(/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 (/.f64 4 x)))
(pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -1)
(/.f64 1 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)))
(/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 (/.f64 4 x)))
(pow.f64 (/.f64 (pow.f64 (.f64 x 9) 3) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)) 1/3)
(cbrt.f64 (/.f64 (.f64 (pow.f64 x 3) 729) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 x 3) 729) (pow.f64 (fma.f64 x (.f64 x -81) 36) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -9 (*.f64 x x) 4) 3)))
(pow.f64 (/.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) 1) -1)
(/.f64 1 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)))
(/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 (/.f64 4 x)))
(neg.f64 (/.f64 (.f64 x 9) (neg.f64 (fma.f64 (.f64 x x) -81 36))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2))
(/.f64 1 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)))
(/.f64 1 (+.f64 (/.f64 4 x) (*.f64 x -9)))
(/.f64 1 (fma.f64 x -9 (/.f64 4 x)))
(log.f64 (exp.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 4 x) (*.f64 x -9)) -3))
(cbrt.f64 (pow.f64 (fma.f64 x -9 (/.f64 4 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x 9) 3) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 x 3) 729) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 x 3) 729) (pow.f64 (fma.f64 x (.f64 x -81) 36) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -9 (*.f64 x x) 4) 3)))
(expm1.f64 (log1p.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(log1p.f64 (expm1.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(exp.f64 (log.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(exp.f64 (.f64 (log.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))) 1))
(.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))
(/.f64 x (fma.f64 -9 (*.f64 x x) 4))
(+.f64 0 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 4 (.f64 (.f64 (*.f64 x x) -81) 1/9))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 4 (.f64 1/9 (.f64 (*.f64 x x) -81)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (.f64 x x) -81 36))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (.f64 x x) -81 36)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 x (.f64 x -81) 36)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (.f64 x x) -81 36)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (.f64 x x) -81 36)))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9))) 1)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(-.f64 4 (/.f64 (.f64 x (.f64 x 81)) 9))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 x (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)))
(.f64 x (+.f64 (/.f64 4 x) (.f64 x -9)))
(*.f64 x (fma.f64 x -9 (/.f64 4 x)))
(.f64 (fma.f64 (.f64 x x) -81 36) 1/9)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9) 1)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 1 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)) (cbrt.f64 (.f64 1/81 (pow.f64 (fma.f64 (*.f64 x x) -81 36) 2))))
(.f64 (cbrt.f64 (.f64 1/9 (fma.f64 (.f64 x x) -81 36))) (cbrt.f64 (.f64 1/81 (pow.f64 (fma.f64 (*.f64 x x) -81 36) 2))))
(.f64 (cbrt.f64 (fma.f64 -9 (.f64 x x) 4)) (cbrt.f64 (pow.f64 (fma.f64 -9 (*.f64 x x) 4) 2)))
(.f64 (cbrt.f64 (.f64 1/81 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2))) (cbrt.f64 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))
(.f64 (cbrt.f64 (.f64 1/9 (fma.f64 (.f64 x x) -81 36))) (cbrt.f64 (.f64 1/81 (pow.f64 (fma.f64 (*.f64 x x) -81 36) 2))))
(.f64 (cbrt.f64 (fma.f64 -9 (.f64 x x) 4)) (cbrt.f64 (pow.f64 (fma.f64 -9 (*.f64 x x) 4) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9))))
(.f64 x (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)))
(.f64 x (+.f64 (/.f64 4 x) (.f64 x -9)))
(*.f64 x (fma.f64 x -9 (/.f64 4 x)))
(.f64 (.f64 1/3 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (.f64 1/3 (sqrt.f64 (fma.f64 (*.f64 x x) -81 36))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9))))
(.f64 x (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)))
(.f64 x (+.f64 (/.f64 4 x) (.f64 x -9)))
(*.f64 x (fma.f64 x -9 (/.f64 4 x)))
(.f64 (neg.f64 x) (/.f64 1 (/.f64 (.f64 x -9) (fma.f64 (*.f64 x x) -81 36))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) x)
(.f64 x (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)))
(.f64 x (+.f64 (/.f64 4 x) (.f64 x -9)))
(*.f64 x (fma.f64 x -9 (/.f64 4 x)))
(.f64 1/9 (fma.f64 (.f64 x x) -81 36))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36)))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (/.f64 (sqrt.f64 x) (.f64 x 9)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (/.f64 1 (.f64 x 9)) (/.f64 x (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x 9)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 (*.f64 x x) -81 36))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (pow.f64 (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36)))) -2) (/.f64 x (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36)))) -2) (/.f64 x (cbrt.f64 (.f64 x (/.f64 9 (fma.f64 (*.f64 x x) -81 36))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))) -2) (/.f64 x (cbrt.f64 (/.f64 x (fma.f64 -9 (*.f64 x x) 4)))))
(/.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))) -2)) (cbrt.f64 (/.f64 x (fma.f64 -9 (*.f64 x x) 4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2))) (cbrt.f64 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)))
(.f64 (cbrt.f64 (.f64 1/9 (fma.f64 (.f64 x x) -81 36))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -2))))
(.f64 (cbrt.f64 (fma.f64 -9 (.f64 x x) 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 4 x) (*.f64 x -9)) -2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 (/.f64 4 x)) -2)) (cbrt.f64 (fma.f64 -9 (*.f64 x x) 4))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 9 (/.f64 x (fma.f64 (*.f64 x x) -81 36))))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (.f64 x (/.f64 9 (fma.f64 (*.f64 x x) -81 36))))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 4 x) (.f64 x -9)) -2)))
(/.f64 x (.f64 (cbrt.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4))) (cbrt.f64 (pow.f64 (fma.f64 x -9 (/.f64 4 x)) -2))))
(.f64 (pow.f64 (.f64 9 (/.f64 x (fma.f64 (.f64 x x) -81 36))) -1/2) (/.f64 x (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -1/2)))
(.f64 (pow.f64 (.f64 x (/.f64 9 (fma.f64 (.f64 x x) -81 36))) -1/2) (/.f64 x (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -1/2)))
(.f64 (pow.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4)) -1/2) (/.f64 x (pow.f64 (+.f64 (/.f64 4 x) (*.f64 x -9)) -1/2)))
(.f64 (pow.f64 (/.f64 x (fma.f64 -9 (.f64 x x) 4)) -1/2) (/.f64 x (pow.f64 (fma.f64 x -9 (/.f64 4 x)) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)) -1/2)))
(.f64 x (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)))
(.f64 x (+.f64 (/.f64 4 x) (.f64 x -9)))
(*.f64 x (fma.f64 x -9 (/.f64 4 x)))
(.f64 (/.f64 x 1) (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)))
(.f64 x (-.f64 (/.f64 36 (.f64 x 9)) (*.f64 x 9)))
(.f64 x (+.f64 (/.f64 4 x) (.f64 x -9)))
(*.f64 x (fma.f64 x -9 (/.f64 4 x)))
(.f64 (/.f64 x (.f64 x -9)) (neg.f64 (fma.f64 (*.f64 x x) -81 36)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (.f64 1/9 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -81 36)) 2)) (cbrt.f64 (fma.f64 (.f64 x x) -81 36)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(.f64 (.f64 1/9 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) (sqrt.f64 (fma.f64 (.f64 x x) -81 36)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(pow.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9) 1)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(pow.f64 (.f64 1/81 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2)) 1/2)
(sqrt.f64 (.f64 1/81 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2)))
(sqrt.f64 (pow.f64 (fma.f64 -9 (*.f64 x x) 4) 2))
(fabs.f64 (fma.f64 -9 (*.f64 x x) 4))
(pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9) 3) 1/3)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)) 3)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(pow.f64 (.f64 1/3 (sqrt.f64 (fma.f64 (.f64 x x) -81 36))) 2)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(pow.f64 (/.f64 1 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)) -1)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 4 x) (*.f64 x -9)) -3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 (/.f64 4 x)) -3)))
(pow.f64 (/.f64 9 (fma.f64 (*.f64 x x) -81 36)) -1)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(pow.f64 (/.f64 (/.f64 1 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)) 1) -1)
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(neg.f64 (/.f64 x (/.f64 (.f64 x -9) (fma.f64 (.f64 x x) -81 36))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(sqrt.f64 (.f64 1/81 (pow.f64 (fma.f64 (.f64 x x) -81 36) 2)))
(sqrt.f64 (pow.f64 (fma.f64 -9 (*.f64 x x) 4) 2))
(fabs.f64 (fma.f64 -9 (*.f64 x x) 4))
(log.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (*.f64 x x) -81 36)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9))))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(cbrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9) 3))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 36 (.f64 x 9)) (.f64 x 9)) -3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 4 x) (*.f64 x -9)) -3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 (/.f64 4 x)) -3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(log1p.f64 (expm1.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(exp.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) -81 36) 1/9)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (*.f64 x x) -81 36) 1/9)) 1))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(fma.f64 36 1/9 (.f64 (.f64 (*.f64 x x) -81) 1/9))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)
(fma.f64 1/9 36 (.f64 1/9 (.f64 (*.f64 x x) -81)))
(+.f64 4 (.f64 -9 (.f64 x x)))
(fma.f64 -9 (*.f64 x x) 4)

eval232.0ms (5.2%)

Compiler: Compiled 7045 to 5076 computations (27.9% saved)

prune130.0ms (2.9%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	514	7	521
Fresh	0	5	5
Picked	1	0	1
Done	2	7	9
Total	517	19	536

Error

Counts

536 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 6 x) (.f64 9 (*.f64 x x))))
	7.3b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
▶	0.3b	(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))
✓	38.2b	(/.f64 x (/.f64 -1/9 x))
✓	24.8b	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
	38.2b	(/.f64 x (*.f64 (/.f64 1 x) -1/9))
✓	25.1b	(/.f64 x 1/6)
	25.1b	(/.f64 6 (/.f64 1 x))
▶	39.1b	(+.f64 4 (.f64 (.f64 (*.f64 x x) -81) 1/9))
▶	38.2b	(*.f64 (/.f64 x 1/9) (neg.f64 x))
✓	38.1b	(.f64 (.f64 x -9) x)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	25.0b	(*.f64 x 6)
✓	0.2b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
▶	38.1b	(.f64 3 (.f64 (*.f64 x -3) x))
	38.1b	(*.f64 -9 (/.f64 x (/.f64 1 x)))
▶	38.1b	(.f64 -9 (.f64 x x))
	52.4b	(sqrt.f64 (.f64 (.f64 x x) 36))
	62.2b	4

Compiler

Compiled 272 to 194 computations (28.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 6 (*.f64 x -9))
✓	0.1b	(/.f64 1 (+.f64 6 (*.f64 x -9)))
✓	0.2b	(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))
0.0ms	x	@	inf	(/.f64 1 (+.f64 6 (*.f64 x -9)))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 6 (*.f64 x -9)))
0.0ms	x	@	0	(/.f64 1 (+.f64 6 (*.f64 x -9)))
0.0ms	x	@	-inf	(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`unpow-prod-down_binary64`
423×	`log-prod_binary64`
331×	`exp-prod_binary64`
238×	`pow2_binary64`
228×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	199	16
2	2545	16

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

Inputs
(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))
(/.f64 1 (+.f64 6 (*.f64 x -9)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 x) (*.f64 (*.f64 x -9) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -9) x) (*.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -9)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x -9 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -9 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(-.f64 36 (*.f64 81 (*.f64 x x)))) 1) (+.f64 6 (*.f64 9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x -9 6) -2) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -9 6) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 2) 3) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -9 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x -9 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -9 6)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -9 6) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -9 6)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x -9 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 x -9 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -9 6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -9 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -9 6) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x -9 6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -9 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) 1) 1))))))

simplify90.0ms (2%)

Algorithm

1×	egg-herbie

Rules

678×	`associate-/l*_binary64`
610×	`fma-def_binary64`
592×	`associate-/r*_binary64`
317×	`sqr-pow_binary64`
282×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	2192
1	977	2082
2	3091	2050

Stop Event

1×	node limit

Counts

159 → 210

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 -9 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 9/16 (pow.f64 x 3)))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(+.f64 0 (*.f64 x (fma.f64 x -9 6)))
(+.f64 (.f64 6 x) (.f64 (*.f64 x -9) x))
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(+.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))
(+.f64 (.f64 x (.f64 x -9)) (*.f64 x 6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6)))) 1)
(*.f64 x (fma.f64 x -9 6))
(.f64 1 (.f64 x (fma.f64 x -9 6)))
(*.f64 (fma.f64 x -9 6) x)
(.f64 (.f64 x (fma.f64 x -9 6)) 1)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x -9 6)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x -9 6)))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) (sqrt.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 x (pow.f64 (fma.f64 x -9 6) -1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (pow.f64 (/.f64 x (pow.f64 (fma.f64 x -9 6) -1/2)) 1))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (fma.f64 x -9 6))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (/.f64 -1 (fma.f64 x -9 6))) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x -9 6))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x -9 6))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (fma.f64 x -9 6) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x -9 6) -1/2)))
(*.f64 (/.f64 x -1) (neg.f64 (fma.f64 x -9 6)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2)) (cbrt.f64 (fma.f64 x -9 6)))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x -9 6))) (sqrt.f64 (fma.f64 x -9 6)))
(.f64 (pow.f64 1 1/3) (.f64 x (fma.f64 x -9 6)))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x -9 6))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x -9 6))) 1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) 1) (pow.f64 (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 1))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) 1) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 1))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (fma.f64 x -9 6) -1/2)) 1) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x -9 6) -1/2)) 1))
(*.f64 (pow.f64 (/.f64 x -1) 1) (neg.f64 (fma.f64 x -9 6)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2) x) 1/3) (cbrt.f64 (fma.f64 x -9 6)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (fma.f64 x -9 6)) (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 2) 3) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (.f64 x (fma.f64 x -9 6)))) 2) -1) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) 1) -1) (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) x) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (/.f64 1 (fma.f64 x -9 6)) (cbrt.f64 x)) -1))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (cbrt.f64 (.f64 x x))) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (cbrt.f64 x)) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (cbrt.f64 (.f64 x x))) -1) (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (/.f64 1 (fma.f64 x -9 6)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (sqrt.f64 x)) -1))
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 x (fma.f64 x -9 6))))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(pow.f64 (/.f64 1 (*.f64 x (fma.f64 x -9 6))) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (*.f64 x (fma.f64 x -9 6))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))) 2)) (cbrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6))))) (sqrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))))
(neg.f64 (/.f64 x (/.f64 -1 (fma.f64 x -9 6))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -9 6)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x -9 6)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6)))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))) 1) 1))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(fma.f64 x (.f64 x -9) (.f64 x 6))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(fma.f64 (.f64 x -9) x (.f64 6 x))
(+.f64 0 (/.f64 1 (fma.f64 x -9 6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -9 6)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -9 6)))
(*.f64 (/.f64 1 (fma.f64 x -9 6)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))))
(*.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (pow.f64 (fma.f64 x -9 6) -1/2))
(*.f64 -1 (/.f64 -1 (fma.f64 x -9 6)))
(.f64 (/.f64 1 (fma.f64 -729 (pow.f64 x 3) 216)) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))
(.f64 (/.f64 1 (fma.f64 -729 (pow.f64 x 3) 216)) (pow.f64 (/.f64 1 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36)) -1))
(.f64 (/.f64 1 (-.f64 36 (.f64 81 (.f64 x x)))) (+.f64 6 (.f64 9 x)))
(.f64 (/.f64 1 (-.f64 36 (.f64 81 (.f64 x x)))) (pow.f64 (/.f64 1 (+.f64 6 (.f64 9 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 x -9 6)))
(.f64 (pow.f64 (/.f64 1 (fma.f64 -729 (pow.f64 x 3) 216)) 1) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))
(.f64 (pow.f64 (/.f64 1 (-.f64 36 (.f64 81 (.f64 x x)))) 1) (+.f64 6 (.f64 9 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x -9 6) -2) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -9 6) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 2) 3) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 3))
(pow.f64 (fma.f64 x -9 6) -1)
(pow.f64 (/.f64 1 (fma.f64 x -9 6)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x -9 6))))
(pow.f64 (pow.f64 (fma.f64 x -9 6) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -9 6) -3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) -1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) 3)
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) -3)
(pow.f64 (pow.f64 (fma.f64 x -9 6) -1/2) 2)
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) -2)
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x -9 6)))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x -9 6))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))))
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -9 6)))))
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -9 6))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -9 6))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x -9 6)))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x -9 6))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) 1) 1))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 -9 (pow.f64 x 2))
(.f64 x (.f64 x -9))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -9 6))
1/6
(+.f64 1/6 (*.f64 1/4 x))
(+.f64 1/6 (*.f64 x 1/4))
(fma.f64 x 1/4 1/6)
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 1/6 (fma.f64 3/8 (.f64 x x) (.f64 x 1/4)))
(+.f64 1/6 (fma.f64 x 1/4 (.f64 x (.f64 x 3/8))))
(fma.f64 x 1/4 (fma.f64 x (*.f64 x 3/8) 1/6))
(+.f64 1/6 (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 9/16 (pow.f64 x 3)))))
(+.f64 1/6 (fma.f64 3/8 (.f64 x x) (fma.f64 1/4 x (.f64 9/16 (pow.f64 x 3)))))
(+.f64 1/6 (fma.f64 (.f64 x x) 3/8 (fma.f64 x 1/4 (.f64 9/16 (pow.f64 x 3)))))
(+.f64 1/6 (fma.f64 x 1/4 (.f64 (.f64 x x) (+.f64 3/8 (*.f64 9/16 x)))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -2/27 (*.f64 x x)) (/.f64 -1/9 x))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3)))))
(-.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3))))
(+.f64 (/.f64 -1/9 x) (+.f64 (/.f64 -2/27 (*.f64 x x)) (/.f64 -4/81 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3))) (/.f64 8/243 (pow.f64 x 4)))))
(-.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 4/81 (pow.f64 x 3)) (/.f64 8/243 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -1/9 x) (+.f64 (/.f64 -2/27 (*.f64 x x)) (/.f64 -4/81 (pow.f64 x 3)))) (/.f64 -8/243 (pow.f64 x 4)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -2/27 (*.f64 x x)) (/.f64 -1/9 x))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3)))))
(-.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3))))
(+.f64 (/.f64 -1/9 x) (+.f64 (/.f64 -2/27 (*.f64 x x)) (/.f64 -4/81 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 2/27 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/9 x) (/.f64 4/81 (pow.f64 x 3))) (/.f64 8/243 (pow.f64 x 4)))))
(-.f64 (/.f64 -2/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 4/81 (pow.f64 x 3)) (/.f64 8/243 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -1/9 x) (+.f64 (/.f64 -2/27 (*.f64 x x)) (/.f64 -4/81 (pow.f64 x 3)))) (/.f64 -8/243 (pow.f64 x 4)))
(+.f64 0 (*.f64 x (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 6 x) (.f64 (*.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 (.f64 x -9) x) (*.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (.f64 x (.f64 x -9)) (*.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))
(*.f64 x (fma.f64 x -9 6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6)))) 1)
(*.f64 x (fma.f64 x -9 6))
(*.f64 x (fma.f64 x -9 6))
(.f64 1 (.f64 x (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (fma.f64 x -9 6) x)
(*.f64 x (fma.f64 x -9 6))
(.f64 (.f64 x (fma.f64 x -9 6)) 1)
(*.f64 x (fma.f64 x -9 6))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x -9 6)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x -9 6) (cbrt.f64 x)))
(.f64 (fma.f64 x -9 6) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 2))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6))) (sqrt.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 x (pow.f64 (fma.f64 x -9 6) -1/2)))
(/.f64 x (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (sqrt.f64 (fma.f64 x -9 6))))
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (pow.f64 (/.f64 x (pow.f64 (fma.f64 x -9 6) -1/2)) 1))
(*.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 x (pow.f64 (fma.f64 x -9 6) -1/2)))
(/.f64 x (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (sqrt.f64 (fma.f64 x -9 6))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (/.f64 -1 (fma.f64 x -9 6))) 1))
(*.f64 x (fma.f64 x -9 6))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x -9 6))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x -9 6) (cbrt.f64 x)))
(.f64 (fma.f64 x -9 6) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (fma.f64 x -9 6) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x -9 6) -1/2)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x -9 6) (cbrt.f64 x)))
(.f64 (fma.f64 x -9 6) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 x -1) (neg.f64 (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2)) (cbrt.f64 (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x -9 6))) (sqrt.f64 (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 1 1/3) (.f64 x (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x -9 6))) 1))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x -9 6) (cbrt.f64 x)))
(.f64 (fma.f64 x -9 6) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x -9 6))) 1))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) 1) (pow.f64 (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) 1) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (fma.f64 x -9 6) -1/2)) 1) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x -9 6) -1/2)) 1))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x -9 6) (cbrt.f64 x)))
(.f64 (fma.f64 x -9 6) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 x -1) 1) (neg.f64 (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3/2)))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2) x) 1/3) (cbrt.f64 (fma.f64 x -9 6)))
(.f64 (cbrt.f64 (fma.f64 x -9 6)) (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (fma.f64 x -9 6)) (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (fma.f64 x -9 6)) (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 4) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) 8)) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -9 6)) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 2) 3) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6)))) 3))
(*.f64 x (fma.f64 x -9 6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (.f64 x (fma.f64 x -9 6)))) 2) -1) (cbrt.f64 (*.f64 x (fma.f64 x -9 6))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (fma.f64 x -9 6))) 2)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (fma.f64 x -9 6)))) 2)))
(/.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (fma.f64 x -9 6)) x)) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) x) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) 1) -1) (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) x) -1))
(*.f64 x (fma.f64 x -9 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (/.f64 1 (fma.f64 x -9 6)) (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) -2)) (/.f64 1 (/.f64 (/.f64 1 (fma.f64 x -9 6)) (cbrt.f64 x))))
(/.f64 (*.f64 (fma.f64 x -9 6) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2))
(/.f64 (fma.f64 x -9 6) (/.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x)))
(.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (cbrt.f64 (.f64 x x))) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (cbrt.f64 x)) -1))
(.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (cbrt.f64 (.f64 x x)))) (/.f64 1 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (cbrt.f64 x))))
(/.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) (cbrt.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (cbrt.f64 (*.f64 x x))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (cbrt.f64 (.f64 x x))))
(.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (cbrt.f64 (.f64 x x))) -1) (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (cbrt.f64 x)) -1))
(.f64 (/.f64 1 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (cbrt.f64 (.f64 x x)))) (/.f64 1 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (cbrt.f64 x))))
(/.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 x -9 6) -1/2)) (cbrt.f64 x)) 1) (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (cbrt.f64 (*.f64 x x))))
(/.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 x -9 6) -1/2)) (cbrt.f64 x)) (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (cbrt.f64 (.f64 x x))))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (/.f64 1 (fma.f64 x -9 6)) (sqrt.f64 x)) -1))
(.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 1 (/.f64 1 (.f64 (fma.f64 x -9 6) (sqrt.f64 x)))))
(/.f64 (*.f64 (fma.f64 x -9 6) (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 (fma.f64 x -9 6) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (sqrt.f64 x))) (/.f64 1 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (sqrt.f64 x))) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (sqrt.f64 x)) -2)
(pow.f64 (*.f64 x (fma.f64 x -9 6)) 1)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (E.f64) (log.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2) 1/2)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3) 1/3)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -9 6))) 3)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -9 6))) 2)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (/.f64 1 (*.f64 x (fma.f64 x -9 6))) -1)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) -3)))
(pow.f64 (/.f64 (/.f64 1 (*.f64 x (fma.f64 x -9 6))) 1) -1)
(*.f64 x (fma.f64 x -9 6))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))) 2)) (cbrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6))))) (sqrt.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))))
(neg.f64 (/.f64 x (/.f64 -1 (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 2))
(*.f64 x (fma.f64 x -9 6))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))
(*.f64 x (fma.f64 x -9 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -9 6)))))
(*.f64 x (fma.f64 x -9 6))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -9 6)) 3))
(*.f64 x (fma.f64 x -9 6))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -9 6) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -9 6))) 1))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x -9 6)))) 1/3))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x -9 6)))) 3))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x -9 6)))) 2))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 x -9 6)))) -1))
(*.f64 x (fma.f64 x -9 6))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x -9 6))) 1) 1))
(*.f64 x (fma.f64 x -9 6))
(fma.f64 x 6 (.f64 x (.f64 x -9)))
(*.f64 x (fma.f64 x -9 6))
(fma.f64 x (.f64 x -9) (.f64 x 6))
(*.f64 x (fma.f64 x -9 6))
(fma.f64 6 x (.f64 (.f64 x -9) x))
(*.f64 x (fma.f64 x -9 6))
(fma.f64 (.f64 x -9) x (.f64 6 x))
(*.f64 x (fma.f64 x -9 6))
(+.f64 0 (/.f64 1 (fma.f64 x -9 6)))
(/.f64 1 (fma.f64 x -9 6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -9 6)))) 1)
(/.f64 1 (fma.f64 x -9 6))
(*.f64 1 (/.f64 1 (fma.f64 x -9 6)))
(/.f64 1 (fma.f64 x -9 6))
(*.f64 (/.f64 1 (fma.f64 x -9 6)) 1)
(/.f64 1 (fma.f64 x -9 6))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))))
(*.f64 (pow.f64 (fma.f64 x -9 6) -1/2) (pow.f64 (fma.f64 x -9 6) -1/2))
(/.f64 1 (fma.f64 x -9 6))
(*.f64 -1 (/.f64 -1 (fma.f64 x -9 6)))
(/.f64 1 (fma.f64 x -9 6))
(.f64 (/.f64 1 (fma.f64 -729 (pow.f64 x 3) 216)) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))
(/.f64 (fma.f64 (*.f64 x -9) (fma.f64 x -9 -6) 36) (fma.f64 -729 (pow.f64 x 3) 216))
(/.f64 (fma.f64 (*.f64 x -9) (fma.f64 x -9 -6) 36) (fma.f64 (pow.f64 x 3) -729 216))
(.f64 (/.f64 1 (fma.f64 -729 (pow.f64 x 3) 216)) (pow.f64 (/.f64 1 (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36)) -1))
(.f64 (/.f64 1 (fma.f64 -729 (pow.f64 x 3) 216)) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))
(/.f64 (fma.f64 (*.f64 x -9) (fma.f64 x -9 -6) 36) (fma.f64 -729 (pow.f64 x 3) 216))
(/.f64 (fma.f64 (*.f64 x -9) (fma.f64 x -9 -6) 36) (fma.f64 (pow.f64 x 3) -729 216))
(.f64 (/.f64 1 (-.f64 36 (.f64 81 (.f64 x x)))) (+.f64 6 (.f64 9 x)))
(.f64 (/.f64 1 (+.f64 36 (.f64 -81 (.f64 x x)))) (+.f64 6 (.f64 x 9)))
(/.f64 (fma.f64 x 9 6) (+.f64 36 (.f64 (.f64 x x) -81)))
(/.f64 (fma.f64 x 9 6) (fma.f64 (*.f64 x x) -81 36))
(.f64 (/.f64 1 (-.f64 36 (.f64 81 (.f64 x x)))) (pow.f64 (/.f64 1 (+.f64 6 (.f64 9 x))) -1))
(.f64 (/.f64 1 (+.f64 36 (.f64 -81 (.f64 x x)))) (+.f64 6 (.f64 x 9)))
(/.f64 (fma.f64 x 9 6) (+.f64 36 (.f64 (.f64 x x) -81)))
(/.f64 (fma.f64 x 9 6) (fma.f64 (*.f64 x x) -81 36))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 x -9 6)))
(/.f64 1 (fma.f64 x -9 6))
(.f64 (pow.f64 (/.f64 1 (fma.f64 -729 (pow.f64 x 3) 216)) 1) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))
(.f64 (/.f64 1 (fma.f64 -729 (pow.f64 x 3) 216)) (fma.f64 (.f64 x -9) (fma.f64 x -9 -6) 36))
(/.f64 (fma.f64 (*.f64 x -9) (fma.f64 x -9 -6) 36) (fma.f64 -729 (pow.f64 x 3) 216))
(/.f64 (fma.f64 (*.f64 x -9) (fma.f64 x -9 -6) 36) (fma.f64 (pow.f64 x 3) -729 216))
(.f64 (pow.f64 (/.f64 1 (-.f64 36 (.f64 81 (.f64 x x)))) 1) (+.f64 6 (.f64 9 x)))
(.f64 (/.f64 1 (+.f64 36 (.f64 -81 (.f64 x x)))) (+.f64 6 (.f64 x 9)))
(/.f64 (fma.f64 x 9 6) (+.f64 36 (.f64 (.f64 x x) -81)))
(/.f64 (fma.f64 x 9 6) (fma.f64 (*.f64 x x) -81 36))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -9 6) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -9 6) -3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -3/2)) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -3/2)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x -9 6) -2) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x -9 6) -2) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -9 6) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 x -9 6) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 2) 3) (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))))
(/.f64 1 (fma.f64 x -9 6))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6)))) 3))
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (fma.f64 x -9 6) -1)
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (/.f64 1 (fma.f64 x -9 6)) 1)
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x -9 6))))
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (pow.f64 (fma.f64 x -9 6) -2) 1/2)
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (pow.f64 (fma.f64 x -9 6) -3) 1/3)
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (pow.f64 (fma.f64 x -9 6) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x -9 6) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -9 6) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 x -9 6) 3) -1/6))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -9 6))) 3)
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (cbrt.f64 (fma.f64 x -9 6)) -3)
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (pow.f64 (fma.f64 x -9 6) -1/2) 2)
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (sqrt.f64 (fma.f64 x -9 6)) -2)
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x -9 6)))
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x -9 6))) -1)
(/.f64 1 (fma.f64 x -9 6))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x -9 6)))))
(sqrt.f64 (pow.f64 (fma.f64 x -9 6) -2))
(/.f64 1 (fma.f64 x -9 6))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -9 6))))
(/.f64 1 (fma.f64 x -9 6))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -9 6)))))
(/.f64 1 (fma.f64 x -9 6))
(cbrt.f64 (pow.f64 (fma.f64 x -9 6) -3))
(/.f64 1 (fma.f64 x -9 6))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -9 6))))
(/.f64 1 (fma.f64 x -9 6))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -9 6))))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -9 6)) -1))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) 1))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -9 6) -3)) 1/3))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x -9 6)))) 3))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x -9 6))) 2))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) 1) -1))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -9 6)) -1) 1))
(/.f64 1 (fma.f64 x -9 6))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x -9 6))) 1) 1))
(/.f64 1 (fma.f64 x -9 6))

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)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 x 1/9) (neg.f64 x))
✓	0.4b	(/.f64 x 1/9)

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x 1/9)
0.0ms	x	@	-inf	(*.f64 (/.f64 x 1/9) (neg.f64 x))
0.0ms	x	@	-inf	(/.f64 x 1/9)
0.0ms	x	@	inf	(*.f64 (/.f64 x 1/9) (neg.f64 x))
0.0ms	x	@	inf	(/.f64 x 1/9)

rewrite40.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`pow1_binary64`
500×	`add-sqr-sqrt_binary64`
482×	`add-log-exp_binary64`
481×	`log1p-expm1-u_binary64`
481×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	11
2	1736	11

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(/.f64 x 1/9)
(*.f64 (/.f64 x 1/9) (neg.f64 x))

Outputs

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

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

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
706×	`log-prod_binary64`
552×	`unswap-sqr_binary64`
270×	`associate-/r/_binary64`
200×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	431
1	207	389
2	788	347
3	3654	347

Stop Event

1×	node limit

Counts

65 → 47

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite42.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`pow1_binary64`
576×	`add-log-exp_binary64`
576×	`log1p-expm1-u_binary64`
576×	`expm1-log1p-u_binary64`
566×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	14
2	1590	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

814×	`log-prod_binary64`
623×	`associate-l_binary64`
533×	`associate-r_binary64`
399×	`fma-def_binary64`
359×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	322
1	144	322
2	556	322
3	3826	322
4	7986	322

Stop Event

1×	node limit

Counts

46 → 28

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) -81)
✓	0.3b	(.f64 (.f64 (*.f64 x x) -81) 1/9)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (.f64 x x) -81)
0.0ms	x	@	inf	(.f64 (.f64 x x) -81)
0.0ms	x	@	0	(.f64 (.f64 x x) -81)
0.0ms	x	@	0	(.f64 (.f64 (*.f64 x x) -81) 1/9)
0.0ms	x	@	inf	(.f64 (.f64 (*.f64 x x) -81) 1/9)

rewrite43.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`pow1_binary64`
574×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
563×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	147	14
2	1619	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x x) -81) 1/9)
(.f64 (.f64 x x) -81)

Outputs

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

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

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

745×	`exp-sum_binary64`
726×	`log-prod_binary64`
465×	`distribute-rgt-in_binary64`
443×	`distribute-lft-in_binary64`
434×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	322
1	150	322
2	604	322
3	2056	322
4	7001	322

Stop Event

1×	node limit

Counts

46 → 27

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 -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 (+.f64 1 (.f64 (.f64 x x) -9)) 1)
(pow.f64 (.f64 (.f64 x x) -9) 1)
(pow.f64 (pow.f64 (.f64 (.f64 x x) -9) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) -9)) 3)
(pow.f64 (*.f64 x (sqrt.f64 -9)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(log.f64 (exp.f64 (.f64 (.f64 x x) -9)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) -9) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) -9)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) -9)))
(exp.f64 (log.f64 (.f64 (.f64 x x) -9)))
(-.f64 (+.f64 1 (.f64 x (.f64 x -81))) 1)
(pow.f64 (.f64 x (.f64 x -81)) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -81))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -81)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 6561))
(log.f64 (pow.f64 (exp.f64 -81) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -81)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -81))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -81))))
(exp.f64 (log.f64 (.f64 x (.f64 x -81))))

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 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(*.f64 -81 (pow.f64 x 2))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(-.f64 (+.f64 1 (.f64 (.f64 x x) -9)) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (.f64 (.f64 x x) -9) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (pow.f64 (.f64 (.f64 x x) -9) 3) 1/3)
(.f64 -9 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) -9)) 3)
(.f64 -9 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -9)) 2)
(.f64 -9 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(.f64 -9 (.f64 x x))
(log.f64 (exp.f64 (.f64 (.f64 x x) -9)))
(.f64 -9 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) -9) 3))
(.f64 -9 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) -9)))
(.f64 -9 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) -9)))
(.f64 -9 (.f64 x x))
(exp.f64 (log.f64 (.f64 (.f64 x x) -9)))
(.f64 -9 (.f64 x x))
(-.f64 (+.f64 1 (.f64 x (.f64 x -81))) 1)
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -81)) 1)
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x -81)) 3) 1/3)
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -81))) 3)
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -81)) 2)
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 6561))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 -81) (*.f64 x x)))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -81)) 3))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -81))))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -81))))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x -81))))
(.f64 x (.f64 x -81))
(.f64 -81 (.f64 x x))

eval129.0ms (2.9%)

Compiler: Compiled 4746 to 3552 computations (25.2% saved)

prune103.0ms (2.3%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	369	0	369
Fresh	0	7	7
Picked	0	1	1
Done	0	11	11
Total	369	19	388

Error

Counts

388 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 6 x) (.f64 9 (*.f64 x x))))
	7.3b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
✓	0.3b	(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))
✓	38.2b	(/.f64 x (/.f64 -1/9 x))
✓	24.8b	(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
	38.2b	(/.f64 x (*.f64 (/.f64 1 x) -1/9))
✓	25.1b	(/.f64 x 1/6)
	25.1b	(/.f64 6 (/.f64 1 x))
✓	39.1b	(+.f64 4 (.f64 (.f64 (*.f64 x x) -81) 1/9))
✓	38.2b	(*.f64 (/.f64 x 1/9) (neg.f64 x))
✓	38.1b	(.f64 (.f64 x -9) x)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	25.0b	(*.f64 x 6)
✓	0.2b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
✓	38.1b	(.f64 3 (.f64 (*.f64 x -3) x))
	38.1b	(*.f64 -9 (/.f64 x (/.f64 1 x)))
✓	38.1b	(.f64 -9 (.f64 x x))
	52.4b	(sqrt.f64 (.f64 (.f64 x x) 36))
	62.2b	4

Compiler

Compiled 160 to 115 computations (28.1% saved)

regimes72.0ms (1.6%)

Counts

28 → 1

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 (.f64 x -9) x)
(/.f64 6 (/.f64 1 x))
(/.f64 x (/.f64 -1/9 x))
(*.f64 (/.f64 x 1/9) (neg.f64 x))
(*.f64 -9 (/.f64 x (/.f64 1 x)))
(.f64 3 (.f64 (*.f64 x -3) x))
(.f64 x (+.f64 6 (.f64 x -9)))
(.f64 (.f64 3 (*.f64 x -3)) x)
(/.f64 x (*.f64 (/.f64 1 x) -1/9))
(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(+.f64 4 (.f64 (.f64 (*.f64 x x) -81) 1/9))
(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))
(.f64 3 (+.f64 (.f64 x 2) (.f64 x (.f64 x -3))))
(/.f64 x (/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81)))))
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
(.f64 3 (/.f64 x (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 4 (.f64 -9 (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 6 x) (.f64 9 (*.f64 x x))))
(sqrt.f64 (.f64 (.f64 x x) 36))
(*.f64 x (fma.f64 x -9 6))
(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
(fma.f64 x 6 (.f64 -9 (.f64 x x)))

Outputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))

Calls

2 calls:

50.0ms	x
15.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 248 to 168 computations (32.3% saved)

regimes35.0ms (0.8%)

Counts

27 → 1

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 (.f64 x -9) x)
(/.f64 6 (/.f64 1 x))
(/.f64 x (/.f64 -1/9 x))
(*.f64 (/.f64 x 1/9) (neg.f64 x))
(*.f64 -9 (/.f64 x (/.f64 1 x)))
(.f64 3 (.f64 (*.f64 x -3) x))
(.f64 x (+.f64 6 (.f64 x -9)))
(.f64 (.f64 3 (*.f64 x -3)) x)
(/.f64 x (*.f64 (/.f64 1 x) -1/9))
(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(+.f64 4 (.f64 (.f64 (*.f64 x x) -81) 1/9))
(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))
(.f64 3 (+.f64 (.f64 x 2) (.f64 x (.f64 x -3))))
(/.f64 x (/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81)))))
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
(.f64 3 (/.f64 x (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 4 (.f64 -9 (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 6 x) (.f64 9 (*.f64 x x))))
(sqrt.f64 (.f64 (.f64 x x) 36))
(*.f64 x (fma.f64 x -9 6))
(/.f64 (fma.f64 x -9 6) (/.f64 1 x))

Outputs
(*.f64 x (fma.f64 x -9 6))

Calls

2 calls:

15.0ms	x
14.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 240 to 164 computations (31.7% saved)

regimes60.0ms (1.4%)

Counts

25 → 1

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 (.f64 x -9) x)
(/.f64 6 (/.f64 1 x))
(/.f64 x (/.f64 -1/9 x))
(*.f64 (/.f64 x 1/9) (neg.f64 x))
(*.f64 -9 (/.f64 x (/.f64 1 x)))
(.f64 3 (.f64 (*.f64 x -3) x))
(.f64 x (+.f64 6 (.f64 x -9)))
(.f64 (.f64 3 (*.f64 x -3)) x)
(/.f64 x (*.f64 (/.f64 1 x) -1/9))
(/.f64 x (+.f64 1/6 (*.f64 x 1/4)))
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(+.f64 4 (.f64 (.f64 (*.f64 x x) -81) 1/9))
(/.f64 x (/.f64 1 (+.f64 6 (*.f64 x -9))))
(.f64 3 (+.f64 (.f64 x 2) (.f64 x (.f64 x -3))))
(/.f64 x (/.f64 (.f64 x 9) (-.f64 36 (.f64 x (*.f64 x 81)))))
(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
(.f64 3 (/.f64 x (/.f64 (+.f64 2 (.f64 x 3)) (+.f64 4 (.f64 -9 (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 81 (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 6 x) (.f64 9 (*.f64 x x))))
(sqrt.f64 (.f64 (.f64 x x) 36))

Outputs
(.f64 x (+.f64 6 (.f64 x -9)))

Calls

2 calls:

42.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
12.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 226 to 154 computations (31.9% saved)

regimes20.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 (.f64 x -9) x)
(/.f64 6 (/.f64 1 x))
(/.f64 x (/.f64 -1/9 x))
(*.f64 (/.f64 x 1/9) (neg.f64 x))
(*.f64 -9 (/.f64 x (/.f64 1 x)))
(.f64 3 (.f64 (*.f64 x -3) x))

Outputs
(.f64 (.f64 x -9) x)
(*.f64 x 6)
(.f64 -9 (.f64 x x))

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
2.5b	3	`x`

Compiler

Compiled 50 to 34 computations (32% saved)

bsearch31.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.2402573363893625	828232.3223443471
13.0ms	-6936.113781658806	-0.05888634012895388

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 230 to 173 computations (24.8% saved)

regimes12.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))

Outputs
(.f64 -9 (.f64 x x))
(*.f64 x 6)
(.f64 -9 (.f64 x x))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.5b	3	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch27.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.2402573363893625	828232.3223443471
14.0ms	-6936.113781658806	-0.05888634012895388

Results

24.0ms

288×

body

256

valid

Compiler

Compiled 230 to 173 computations (24.8% saved)

regimes51.0ms (1.1%)

Accuracy

Total -37.3b remaining (-149.1%)

Threshold costs -37.3b (-149.1%)

Counts

3 → 1

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)

Outputs
(*.f64 x 6)

Calls

1 calls:

50.0ms

Results

Error	Segments	Branch
25.0b	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
1	30	94

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -6124895493223875/9007199254740992) (.f64 (.f64 x -9) x) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -6124895493223875/9007199254740992) (.f64 -9 (.f64 x x)) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(*.f64 x 6)
4

Outputs
(fma.f64 x 6 (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 x (+.f64 6 (.f64 x -9)))
(if (<=.f64 x -6124895493223875/9007199254740992) (.f64 (.f64 x -9) x) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -6124895493223875/9007199254740992) (.f64 x (.f64 x -9)) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(if (<=.f64 x -6124895493223875/9007199254740992) (.f64 -9 (.f64 x x)) (if (<=.f64 x 5944751508129055/9007199254740992) (.f64 x 6) (.f64 -9 (*.f64 x x))))
(*.f64 x 6)
4

Compiler

Compiled 74 to 51 computations (31.1% saved)

soundness99.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
395×	`fma-neg_binary64`
127×	`cancel-sign-sub-inv_binary64`
83×	`distribute-rgt-in_binary64`
66×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	43	10
3	101	8
4	227	8
5	361	8
6	545	8
7	816	8
8	1369	8
9	1511	8
10	1827	8
11	2245	8
12	2354	8
13	2358	8
14	2358	8

Stop Event

1×

saturated

Compiler

Compiled 113 to 93 computations (17.7% saved)

end74.0ms (1.7%)

Compiler: Compiled 68 to 43 computations (36.8% saved)