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)

sample847.0ms (17.8%)

Results

665.0ms	7522×	body	256	valid
138.0ms	481×	body	1024	valid
33.0ms	253×	body	512	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess53.0ms (1.1%)

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 (0.9%)

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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
▶	0.3b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))

Compiler

Compiled 18 to 14 computations (22.2% 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)

series20.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(.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))
1.0ms	x	@	-inf	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
0.0ms	x	@	inf	(.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))))))))

simplify52.0ms (1.1%)

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)

localize7.0ms (0.1%)

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)

series22.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	(.f64 x (+.f64 6 (.f64 x -9)))
0.0ms	x	@	0	(.f64 x (+.f64 6 (.f64 x -9)))
0.0ms	x	@	inf	(.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))

rewrite44.0ms (0.9%)

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)))))

simplify68.0ms (1.4%)

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)

eval63.0ms (1.3%)

Compiler: Compiled 2346 to 1743 computations (25.7% saved)

prune29.0ms (0.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	169	10	179
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	169	12	181

Error

Counts

181 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
	7.8b	(/.f64 (+.f64 216 (.f64 (pow.f64 x 3) -729)) (/.f64 (+.f64 36 (+.f64 (.f64 x (.f64 x 81)) (.f64 54 x))) x))
	7.5b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
▶	0.6b	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
▶	0.2b	(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
▶	41.3b	(.f64 x (.f64 x -9))
▶	21.5b	(*.f64 x 6)
	42.5b	(.f64 3 (pow.f64 (sqrt.f64 (.f64 x (-.f64 2 (*.f64 3 x)))) 2))
✓	0.3b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
	41.4b	(.f64 3 (.f64 (*.f64 x -3) x))
	41.3b	(.f64 -9 (.f64 x x))

Compiler

Compiled 238 to 180 computations (24.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series3.0ms (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	@	inf	(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
0.0ms	x	@	0	(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
0.0ms	x	@	-inf	(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
817×	`add-log-exp_binary64`
817×	`log1p-expm1-u_binary64`
817×	`expm1-log1p-u_binary64`
801×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	175	17
2	2275	17

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(.f64 -9 (.f64 x x))
(+.f64 (.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 (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 pow.f64 (*.f64 -729 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -729 (pow.f64 (*.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 1 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 36) (*.f64 x (-.f64 6 (*.f64 -9 x)))) (/.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 x (-.f64 6 (*.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 -9 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 6 (*.f64 -9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 (*.f64 -9 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 216 (pow.f64 x 3)) (*.f64 -729 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 81 (pow.f64 x 4))) (/.f64 1 (*.f64 x (-.f64 6 (*.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6)))) (+.f64 (*.f64 216 (pow.f64 x 3)) (*.f64 -729 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 6 (*.f64 -9 x))) (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 81 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 216 (pow.f64 x 3)) (*.f64 -729 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 216 (pow.f64 x 3)) (*.f64 -729 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 81 (pow.f64 x 4)) (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 81 (pow.f64 x 4))) (*.f64 x (-.f64 6 (*.f64 -9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 216 (pow.f64 x 3)) (*.f64 -729 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 36) (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 36) (*.f64 81 (pow.f64 x 4)))) (neg.f64 (*.f64 x (-.f64 6 (*.f64 -9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 81 (pow.f64 x 4)) (*.f64 (*.f64 x x) 36)) (-.f64 (*.f64 -9 (*.f64 x x)) (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 -9 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 (*.f64 x x) (*.f64 x 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 (*.f64 x x) -9 (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -9 (*.f64 x x)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 6) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (cbrt.f64 (*.f64 -9 (*.f64 x x))) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -9)) (*.f64 x (sqrt.f64 -9)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)) (*.f64 -9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -9 x) x (*.f64 x 6))))))

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

646×	`fma-neg_binary64`
434×	`div-sub_binary64`
352×	`fma-def_binary64`
300×	`times-frac_binary64`
267×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	934
1	350	861
2	1264	838
3	5401	808

Stop Event

1×	node limit

Counts

75 → 67

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

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite35.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`pow1_binary64`
434×	`add-sqr-sqrt_binary64`
425×	`*-un-lft-identity_binary64`
416×	`add-log-exp_binary64`
416×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1143	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

722×	`log-prod_binary64`
627×	`distribute-rgt-in_binary64`
615×	`distribute-lft-in_binary64`
466×	`associate-l_binary64`
406×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	161
1	84	161
2	325	161
3	2406	161
4	7890	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 (*.f64 x (sqrt.f64 -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 (*.f64 x (sqrt.f64 -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))

localize21.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x 81))
✓	0.3b	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81)))))
✓	0.4b	(/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 x (*.f64 x 81))))

Compiler

Compiled 57 to 42 computations (26.3% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (1.5%)

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	48
1	298	27
2	4127	27

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(/.f64 (+.f64 6 (.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 x (.f64 x 81))

Outputs

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

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
696×	`unswap-sqr_binary64`
595×	`associate-*l/_binary64`
594×	`associate-/r*_binary64`
221×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	1940
1	775	1636
2	2588	1581

Stop Event

1×	node limit

Counts

140 → 167

Calls

Call 1

Inputs
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 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))
(+.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (.f64 81 (.f64 x x)) 3))) (fma.f64 (.f64 81 (.f64 x x)) (fma.f64 x (.f64 x 81) 36) 1296))
(.f64 (/.f64 (fma.f64 x 9 6) (-.f64 1296 (pow.f64 (.f64 81 (.f64 x x)) 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 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 81 (.f64 x 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))))
(+.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 81 (.f64 x x)))) 1)
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (.f64 81 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 81 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 81 (.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 81 (.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 81) x) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 81 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 81 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 81 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 81 (.f64 x x))))
(exp.f64 (log.f64 (.f64 81 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 81 (*.f64 x x))) 1))

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

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)

series47.0ms (1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite50.0ms (1.1%)

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	16
1	169	13
2	2004	13

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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))))))))

((#(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 (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 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 1 (sqrt.f64 (fma.f64 x -9 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x -9 6)) -1)))) (#(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)))))))

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

614×	`unswap-sqr_binary64`
562×	`times-frac_binary64`
368×	`associate-/l/_binary64`
344×	`associate-/r*_binary64`
270×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	757
1	347	628
2	1683	626

Stop Event

1×	node limit

Counts

84 → 81

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 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))))
(+.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 (fma.f64 x -9 6) 1)
(/.f64 1 (/.f64 1 (fma.f64 x -9 6)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))))
(/.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 1 (sqrt.f64 (fma.f64 x -9 6))))
(/.f64 (neg.f64 (fma.f64 x -9 6)) -1)
(/.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)))
(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 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 (fma.f64 x -9 6) (cbrt.f64 x)))
(*.f64 (/.f64 (fma.f64 x -9 6) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (*.f64 (fma.f64 x -9 6) (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 (fma.f64 x -9 6) (cbrt.f64 x)))
(*.f64 (/.f64 (fma.f64 x -9 6) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (*.f64 (fma.f64 x -9 6) (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)))
(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))
(+.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 (fma.f64 x -9 6) 1)
(fma.f64 x -9 6)
(/.f64 1 (/.f64 1 (fma.f64 x -9 6)))
(fma.f64 x -9 6)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -9 6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x -9 6))))
(fma.f64 x -9 6)
(/.f64 (sqrt.f64 (fma.f64 x -9 6)) (/.f64 1 (sqrt.f64 (fma.f64 x -9 6))))
(fma.f64 x -9 6)
(/.f64 (neg.f64 (fma.f64 x -9 6)) -1)
(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 (.f64 x x) 81) 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 81 x) (fma.f64 x 54 36)))
(/.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))
(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)

eval177.0ms (3.7%)

Compiler: Compiled 4849 to 3591 computations (25.9% saved)

prune50.0ms (1.1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	320	8	328
Fresh	4	1	5
Picked	1	0	1
Done	1	5	6
Total	326	14	340

Error

Counts

340 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 (.f64 x x) -9 (.f64 x 6))
▶	7.5b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))
	41.4b	(/.f64 (*.f64 x -9) (/.f64 1 x))
	41.4b	(/.f64 x (/.f64 -1/9 x))
▶	21.8b	(/.f64 x (+.f64 1/6 (*.f64 1/4 x)))
	11.5b	(/.f64 x (exp.f64 (neg.f64 (log.f64 (+.f64 6 (*.f64 -9 x))))))
▶	21.6b	(/.f64 x 1/6)
▶	21.6b	(/.f64 6 (/.f64 1 x))
✓	0.2b	(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
	41.3b	(.f64 (.f64 x x) -9)
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	41.3b	(.f64 x (.f64 x -9))
✓	21.5b	(*.f64 x 6)
✓	0.3b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))

Compiler

Compiled 186 to 138 computations (25.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`pow1_binary64`
562×	`add-log-exp_binary64`
562×	`log1p-expm1-u_binary64`
562×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1553	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

528×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`
442×	`associate-/r*_binary64`
359×	`fma-neg_binary64`
289×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	394
1	171	314
2	787	300
3	3280	297

Stop Event

1×	node limit

Counts

33 → 36

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

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

localize3.0ms (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)

rewrite36.0ms (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)))))))

simplify46.0ms (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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite69.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`pow1_binary64`
505×	`add-log-exp_binary64`
505×	`log1p-expm1-u_binary64`
505×	`expm1-log1p-u_binary64`
495×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	128	4
2	1450	4

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

564×	`log-prod_binary64`
520×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`
431×	`associate-l_binary64`
389×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	140
1	132	140
2	403	140
3	3010	140

Stop Event

1×	node limit

Counts

35 → 23

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite51.0ms (1.1%)

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

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)))))

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-/r*_binary64`
461×	`associate-/l*_binary64`
449×	`unswap-sqr_binary64`
435×	`fma-def_binary64`
375×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	1175
1	474	966
2	1672	775

Stop Event

1×	node limit

Counts

80 → 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 1/4 x)
(*.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 (.f64 -9 x) 6))
(+.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 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 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.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 4 (+.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 -8/3 x)))
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(+.f64 (fma.f64 x 1/4 1/6) 0)
(fma.f64 x 1/4 1/6)
(cbrt.f64 (pow.f64 (fma.f64 x 1/4 1/6) 3))
(+.f64 1 (-.f64 (fma.f64 x 1/4 1/6) 1))
(+.f64 (fma.f64 x 1/4 1/6) 0)
(fma.f64 x 1/4 1/6)
(expm1.f64 (log1p.f64 (fma.f64 x 1/4 1/6)))
(+.f64 1 (-.f64 (fma.f64 x 1/4 1/6) 1))
(+.f64 (fma.f64 x 1/4 1/6) 0)
(fma.f64 x 1/4 1/6)
(log1p.f64 (expm1.f64 (fma.f64 x 1/4 1/6)))
(+.f64 1 (-.f64 (fma.f64 x 1/4 1/6) 1))
(+.f64 (fma.f64 x 1/4 1/6) 0)
(fma.f64 x 1/4 1/6)
(exp.f64 (log.f64 (fma.f64 x 1/4 1/6)))
(+.f64 1 (-.f64 (fma.f64 x 1/4 1/6) 1))
(+.f64 (fma.f64 x 1/4 1/6) 0)
(fma.f64 x 1/4 1/6)
(fma.f64 x 1/4 1/6)
(+.f64 1 (-.f64 (fma.f64 x 1/4 1/6) 1))
(+.f64 (fma.f64 x 1/4 1/6) 0)
(fma.f64 1/4 x 1/6)
(+.f64 1 (-.f64 (fma.f64 x 1/4 1/6) 1))
(+.f64 (fma.f64 x 1/4 1/6) 0)
(fma.f64 x 1/4 1/6)
(fma.f64 1 (*.f64 x 1/4) 1/6)
(+.f64 1 (-.f64 (fma.f64 x 1/4 1/6) 1))
(+.f64 (fma.f64 x 1/4 1/6) 0)
(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 (.f64 (sqrt.f64 x) 1/2) (.f64 (sqrt.f64 x) 1/2) 1/6)
(+.f64 1 (-.f64 (fma.f64 x 1/4 1/6) 1))
(+.f64 (fma.f64 x 1/4 1/6) 0)
(fma.f64 x 1/4 1/6)

localize46.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 36 (.f64 (*.f64 x x) 81)) x)
✓	0.2b	(.f64 (.f64 x x) 81)
✓	7.0b	(/.f64 (.f64 (-.f64 36 (.f64 (.f64 x x) 81)) x) (+.f64 6 (.f64 9 x)))

Compiler

Compiled 53 to 33 computations (37.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`log-prod_binary64`
440×	`prod-diff_binary64`
253×	`fma-def_binary64`
241×	`pow1/3_binary64`
239×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	294	30
2	3936	28

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 81)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 81) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 81)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 81)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 81))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 531441 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 6561 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 531441 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 81))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 (*.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 36 x) (*.f64 (*.f64 (*.f64 x x) -81) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 36) (*.f64 x (*.f64 (*.f64 x x) -81)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -81 36))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -81 36))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -81 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -81 36)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -81 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 46656 (*.f64 531441 (pow.f64 (*.f64 x x) 3))) x) (+.f64 1296 (fma.f64 6561 (pow.f64 x 4) (*.f64 2916 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1296 (*.f64 6561 (pow.f64 x 4))) x) (fma.f64 x (*.f64 x 81) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 46656 (*.f64 531441 (pow.f64 (*.f64 x x) 3)))) (+.f64 1296 (fma.f64 6561 (pow.f64 x 4) (*.f64 2916 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1296 (*.f64 6561 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 81) 36))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -81 36) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -81 36) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -81 36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -81 36) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -81 36) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -81 36))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 36 x (*.f64 (*.f64 (*.f64 x x) -81) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 36 (*.f64 x (*.f64 (*.f64 x x) -81)))))))

simplify99.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

837×	`times-frac_binary64`
654×	`fma-def_binary64`
524×	`distribute-rgt-in_binary64`
518×	`distribute-lft-in_binary64`
371×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	1886
1	596	1691
2	2195	1629

Stop Event

1×	node limit

Counts

131 → 143

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))
(*.f64 36 x)
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(+.f64 0 (.f64 (+.f64 6 (.f64 -9 x)) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 6 (.f64 -9 x)) x))) (cbrt.f64 (exp.f64 (.f64 (+.f64 6 (.f64 -9 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 6 (*.f64 -9 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 6 (.f64 -9 x)) x))) 1)
(-.f64 (/.f64 36 (/.f64 (fma.f64 x 9 6) x)) (/.f64 (.f64 x (.f64 x 81)) (/.f64 (fma.f64 x 9 6) x)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 36) (/.f64 1 (fma.f64 x 9 6))))
(.f64 (fma.f64 (.f64 x x) -81 36) (/.f64 1 (/.f64 (fma.f64 x 9 6) x)))
(.f64 (fma.f64 (.f64 x x) -81 36) (*.f64 x (/.f64 1 (fma.f64 x 9 6))))
(.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36)) (/.f64 1 (fma.f64 x 9 6)))
(.f64 (.f64 (+.f64 6 (*.f64 -9 x)) x) 1)
(.f64 1 (.f64 (+.f64 6 (*.f64 -9 x)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) (/.f64 1 (fma.f64 x 9 6))))
(.f64 (cbrt.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)) (pow.f64 (cbrt.f64 (.f64 (+.f64 6 (*.f64 -9 x)) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)) 2) (cbrt.f64 (.f64 (+.f64 6 (*.f64 -9 x)) x)))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) (/.f64 1 (fma.f64 x 9 6))))
(.f64 (sqrt.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)) (sqrt.f64 (.f64 (+.f64 6 (*.f64 -9 x)) x)))
(.f64 (.f64 x (neg.f64 (fma.f64 (*.f64 x x) -81 36))) (/.f64 1 (neg.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (fma.f64 x 9 6)) (.f64 x (fma.f64 (*.f64 x x) -81 36)))
(.f64 (+.f64 6 (.f64 -9 x)) x)
(.f64 (/.f64 x 1) (+.f64 6 (.f64 -9 x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) -81 36) 1) (/.f64 x (fma.f64 x 9 6)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36))) (fma.f64 x 9 6)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) 1) (/.f64 (sqrt.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36))) (fma.f64 x 9 6)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (fma.f64 (.f64 x x) -81 36) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (fma.f64 (.f64 x x) -81 36) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36)) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (cbrt.f64 (.f64 (+.f64 6 (*.f64 -9 x)) x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) (pow.f64 (cbrt.f64 (fma.f64 x 9 6)) 2)) (/.f64 (sqrt.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36))) (cbrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (fma.f64 (.f64 x x) -81 36) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (fma.f64 (.f64 x x) -81 36) (sqrt.f64 (fma.f64 x 9 6))) (/.f64 x (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36)) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) 2) (sqrt.f64 (fma.f64 x 9 6))) (/.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36))) (sqrt.f64 (fma.f64 x 9 6))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) (fma.f64 (pow.f64 x 3) 729 216)) (fma.f64 (.f64 x 9) (fma.f64 x 9 -6) 36))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) (fma.f64 (.f64 x x) -81 36)) (+.f64 6 (*.f64 -9 x)))
(pow.f64 (.f64 (+.f64 6 (.f64 -9 x)) x) 1)
(pow.f64 (pow.f64 (.f64 (+.f64 6 (.f64 -9 x)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)) 3)
(pow.f64 (sqrt.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)) 2)
(pow.f64 (/.f64 1 (.f64 (+.f64 6 (.f64 -9 x)) x)) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 3) (pow.f64 (fma.f64 x 9 6) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (.f64 (+.f64 6 (.f64 -9 x)) x)) 1) -1)
(neg.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) (neg.f64 (fma.f64 x 9 6))))
(sqrt.f64 (pow.f64 (.f64 (+.f64 6 (.f64 -9 x)) x) 2))
(log.f64 (exp.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 6 (.f64 -9 x)) x))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 6 (.f64 -9 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 3) (pow.f64 (fma.f64 x 9 6) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)))
(exp.f64 (log.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 6 (*.f64 -9 x)) x)) 1))
(+.f64 0 (.f64 x (.f64 x 81)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 81) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 81) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 81) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 81)))) 1)
(pow.f64 (.f64 x (.f64 x 81)) 1)
(pow.f64 (*.f64 x 9) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 81))) 3)
(pow.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 6561 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 81)))))
(cbrt.f64 (.f64 531441 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 81))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 81))))
(exp.f64 (log.f64 (.f64 x (.f64 x 81))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 81))) 1))
(+.f64 0 (.f64 x (fma.f64 (.f64 x x) -81 36)))
(+.f64 (.f64 36 x) (.f64 (.f64 (.f64 x x) -81) x))
(+.f64 (.f64 x 36) (.f64 x (.f64 (.f64 x x) -81)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 36))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 36))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 36)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 36)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x x) -81 36)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)))) 1)
(/.f64 (.f64 (-.f64 46656 (.f64 531441 (pow.f64 (.f64 x x) 3))) x) (+.f64 1296 (fma.f64 6561 (pow.f64 x 4) (.f64 2916 (*.f64 x x)))))
(/.f64 (.f64 (-.f64 1296 (.f64 6561 (pow.f64 x 4))) x) (fma.f64 x (*.f64 x 81) 36))
(/.f64 (.f64 x (-.f64 46656 (.f64 531441 (pow.f64 (.f64 x x) 3)))) (+.f64 1296 (fma.f64 6561 (pow.f64 x 4) (.f64 2916 (*.f64 x x)))))
(/.f64 (.f64 x (-.f64 1296 (.f64 6561 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 81) 36))
(pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 1)
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) 3)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) 2)
(pow.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 3) (pow.f64 x 3)) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -81 36)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36))) 1))
(fma.f64 36 x (.f64 (.f64 (*.f64 x x) -81) x))
(fma.f64 x 36 (.f64 x (.f64 (*.f64 x x) -81)))

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 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 36 x)
(*.f64 x 36)
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(*.f64 -81 (pow.f64 x 3))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(+.f64 (.f64 -81 (pow.f64 x 3)) (.f64 36 x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(+.f64 0 (.f64 (+.f64 6 (.f64 -9 x)) x))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 6 (.f64 -9 x)) x))) (cbrt.f64 (exp.f64 (.f64 (+.f64 6 (.f64 -9 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 6 (*.f64 -9 x)) x)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 6 (.f64 x -9))) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 6 (.f64 x -9))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 6 (.f64 x -9))) x))))
(+.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 (exp.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 6 (.f64 -9 x)) x)))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 6 (.f64 x -9))) x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -9 6)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 6 (.f64 -9 x)) x))) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(-.f64 (/.f64 36 (/.f64 (fma.f64 x 9 6) x)) (/.f64 (.f64 x (.f64 x 81)) (/.f64 (fma.f64 x 9 6) x)))
(-.f64 (.f64 (/.f64 36 (fma.f64 x 9 6)) x) (/.f64 (.f64 x (*.f64 x 81)) (/.f64 (fma.f64 x 9 6) x)))
(.f64 x (-.f64 (/.f64 36 (fma.f64 x 9 6)) (/.f64 x (/.f64 (fma.f64 x 9 6) (.f64 x 81)))))
(.f64 x (+.f64 (/.f64 36 (fma.f64 x 9 6)) (/.f64 -81 (/.f64 (fma.f64 x 9 6) (.f64 x x)))))
(.f64 x (.f64 (fma.f64 (*.f64 x x) -81 36) (/.f64 1 (fma.f64 x 9 6))))
(.f64 (fma.f64 (.f64 x x) -81 36) (/.f64 1 (/.f64 (fma.f64 x 9 6) x)))
(.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))
(/.f64 x (/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36)))
(.f64 (fma.f64 (.f64 x x) -81 36) (/.f64 1 (/.f64 (fma.f64 x 9 6) x)))
(.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))
(/.f64 x (/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36)))
(.f64 (fma.f64 (.f64 x x) -81 36) (*.f64 x (/.f64 1 (fma.f64 x 9 6))))
(.f64 (fma.f64 (.f64 x x) -81 36) (/.f64 1 (/.f64 (fma.f64 x 9 6) x)))
(.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))
(/.f64 x (/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36)) (/.f64 1 (fma.f64 x 9 6)))
(.f64 (fma.f64 (.f64 x x) -81 36) (/.f64 1 (/.f64 (fma.f64 x 9 6) x)))
(.f64 (fma.f64 -81 (.f64 x x) 36) (/.f64 x (fma.f64 x 9 6)))
(/.f64 x (/.f64 (fma.f64 x 9 6) (fma.f64 x (*.f64 x -81) 36)))
(.f64 (.f64 (+.f64 6 (*.f64 -9 x)) x) 1)
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(*.f64 x (fma.f64 x -9 6))
(.f64 1 (.f64 (+.f64 6 (*.f64 -9 x)) x))
(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 (.f64 x x) -81 36))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) (/.f64 1 (fma.f64 x 9 6))))
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(/.f64 (.f64 x (+.f64 46656 (.f64 -531441 (pow.f64 (.f64 x x) 3)))) (+.f64 1296 (fma.f64 6561 (pow.f64 x 4) (.f64 (*.f64 x x) 2916))))
(.f64 (/.f64 x (+.f64 1296 (fma.f64 6561 (pow.f64 x 4) (.f64 x (.f64 x 2916))))) (-.f64 46656 (.f64 531441 (pow.f64 x 6))))
(.f64 (/.f64 x (fma.f64 6561 (pow.f64 x 4) (fma.f64 x (.f64 x 2916) 1296))) (fma.f64 (pow.f64 x 6) -531441 46656))
(/.f64 (.f64 x (-.f64 1296 (.f64 6561 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 81) 36))
(/.f64 (+.f64 1296 (.f64 -6561 (pow.f64 x 4))) (/.f64 (fma.f64 x (.f64 x 81) 36) x))
(.f64 (/.f64 x (fma.f64 x (.f64 x 81) 36)) (+.f64 1296 (*.f64 (pow.f64 x 4) -6561)))
(.f64 (/.f64 x (fma.f64 x (.f64 x 81) 36)) (fma.f64 (pow.f64 x 4) -6561 1296))
(pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 1)
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 3) 1/3)
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) 3)
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))) 2)
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(pow.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)) 1/3)
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(pow.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 3) (pow.f64 x 3)) 1/3)
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 2))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -81 36)))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)))))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -81 36)) 3))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -81 36) 3)))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -81 36) 3) (pow.f64 x 3)))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -81 36))))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (*.f64 x x) -81 36))) 1))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(fma.f64 36 x (.f64 (.f64 (*.f64 x x) -81) x))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))
(fma.f64 x 36 (.f64 x (.f64 (*.f64 x x) -81)))
(fma.f64 -81 (pow.f64 x 3) (*.f64 x 36))
(.f64 x (fma.f64 -81 (.f64 x x) 36))

eval154.0ms (3.2%)

Compiler: Compiled 5184 to 3750 computations (27.7% saved)

prune115.0ms (2.4%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	366	4	370
Fresh	1	3	4
Picked	1	0	1
Done	0	9	9
Total	368	16	384

Error

Counts

384 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 (.f64 x x) -9 (.f64 x 6))
	21.7b	(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))
▶	41.4b	(/.f64 (*.f64 x -9) (/.f64 1 x))
▶	41.4b	(/.f64 x (/.f64 -1/9 x))
✓	21.8b	(/.f64 x (+.f64 1/6 (*.f64 1/4 x)))
✓	21.6b	(/.f64 x 1/6)
✓	21.6b	(/.f64 6 (/.f64 1 x))
✓	0.2b	(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
▶	21.7b	(.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))))
▶	41.3b	(.f64 (.f64 x x) -9)
▶	41.4b	(*.f64 x (/.f64 x -1/9))
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	41.3b	(.f64 x (.f64 x -9))
✓	21.5b	(*.f64 x 6)
✓	0.3b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
	62.1b	4

Compiler

Compiled 183 to 136 computations (25.7% saved)

localize31.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 1/24 x)))
✓	0.3b	(*.f64 1/24 x)
✓	0.4b	(.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))))
✓	7.0b	(/.f64 x (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3)))

Compiler

Compiled 84 to 58 computations (31% saved)

series8.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.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))))
1.0ms	x	@	inf	(/.f64 x (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3)))
1.0ms	x	@	-inf	(/.f64 x (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3)))
1.0ms	x	@	0	(/.f64 x (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3)))
0.0ms	x	@	inf	(*.f64 1/24 x)

rewrite95.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`fma-def_binary64`
419×	`fma-neg_binary64`
336×	`expm1-udef_binary64`
336×	`log1p-udef_binary64`
203×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	434	54
2	5837	46

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

Inputs
(/.f64 x (+.f64 1/216 (pow.f64 (*.f64 x 1/4) 3)))
(.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 1/24 x)
(+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 1/24 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (fma.f64 1/64 (pow.f64 x 3) 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) (sqrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 1/64 (pow.f64 x 3) 1/216)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)) (/.f64 x (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))) (/.f64 x (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 1/10077696 (pow.f64 (.f64 x 1/4) 9))) (fma.f64 (.f64 1/64 (pow.f64 x 3)) (fma.f64 1/64 (pow.f64 x 3) -1/216) 1/46656))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 1/46656 (pow.f64 (.f64 x 1/4) 6))) (-.f64 1/216 (.f64 1/64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 x (fma.f64 x 1/16 -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 x (fma.f64 x 1/16 -1/24))) (/.f64 (.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)) 1) (.f64 (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 x (fma.f64 x 1/16 -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) (/.f64 (fma.f64 1/64 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(pow.f64 x 4)) (.f64 (.f64 x x) 1/576)) (/.f64 1 (.f64 x (fma.f64 x 1/16 1/24))) (+.f64 (fma.f64 x -1/24 (.f64 x 1/24)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/1296 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 2)) (/.f64 1 (-.f64 1/36 (.f64 x (fma.f64 x 1/16 -1/24)))) (fma.f64 x -1/24 (.f64 x 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 x 1/4) 3/2) (.f64 (sqrt.f64 x) 1/2) (fma.f64 x -1/24 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 x 1/4) 3/2) (.f64 (sqrt.f64 x) 1/2) (neg.f64 (fma.f64 x 1/24 -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/16) x (fma.f64 x -1/24 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/16) x (neg.f64 (fma.f64 x 1/24 -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (cbrt.f64 (fma.f64 x (.f64 x 1/16) 1/36))) (cbrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (.f64 x -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (sqrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (.f64 x -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/4 (sqrt.f64 (.f64 x 1/24))) (-.f64 (.f64 x 1/4) (sqrt.f64 (.f64 x 1/24))) 1/36)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/4 (sqrt.f64 (.f64 x 1/24))) (-.f64 (.f64 x 1/4) (sqrt.f64 (.f64 x 1/24))) (+.f64 (fma.f64 x -1/24 (.f64 x 1/24)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/4) x) 1/4 (fma.f64 x -1/24 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/4) x) 1/4 (neg.f64 (fma.f64 x 1/24 -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/4) 1/4) x (fma.f64 x -1/24 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/4) 1/4) x (neg.f64 (fma.f64 x 1/24 -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/4) (cbrt.f64 (.f64 x (.f64 x 1/16)))) (cbrt.f64 (.f64 x 1/4)) (fma.f64 x -1/24 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/4) (cbrt.f64 (.f64 x (.f64 x 1/16)))) (cbrt.f64 (.f64 x 1/4)) (neg.f64 (fma.f64 x 1/24 -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/16 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -1/24 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/16 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (fma.f64 x 1/24 -1/36)))))))

simplify113.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

374×	`associate-l_binary64`
350×	`associate-r_binary64`
308×	`div-sub_binary64`
261×	`log-prod_binary64`
232×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	565	6266
1	1452	5156
2	5424	5156

Stop Event

1×	node limit

Counts

262 → 332

Calls

Call 1

Inputs
(*.f64 216 x)
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(+.f64 (.f64 19683/8 (pow.f64 x 7)) (+.f64 (.f64 -729 (pow.f64 x 4)) (*.f64 216 x)))
(+.f64 (.f64 19683/8 (pow.f64 x 7)) (+.f64 (.f64 -531441/64 (pow.f64 x 10)) (+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))))
(/.f64 64 (pow.f64 x 2))
(-.f64 (.f64 64 (/.f64 1 (pow.f64 x 2))) (.f64 512/27 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 4096/729 (/.f64 1 (pow.f64 x 8))) (.f64 64 (/.f64 1 (pow.f64 x 2)))) (*.f64 512/27 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 4096/729 (/.f64 1 (pow.f64 x 8))) (.f64 64 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 32768/19683 (/.f64 1 (pow.f64 x 11))) (.f64 512/27 (/.f64 1 (pow.f64 x 5)))))
(/.f64 64 (pow.f64 x 2))
(-.f64 (.f64 64 (/.f64 1 (pow.f64 x 2))) (.f64 512/27 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 4096/729 (/.f64 1 (pow.f64 x 8))) (.f64 64 (/.f64 1 (pow.f64 x 2)))) (*.f64 512/27 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 4096/729 (/.f64 1 (pow.f64 x 8))) (.f64 64 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 32768/19683 (/.f64 1 (pow.f64 x 11))) (.f64 512/27 (/.f64 1 (pow.f64 x 5)))))
(*.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)))))
1/36
(+.f64 1/36 (*.f64 -1/24 x))
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(*.f64 1/16 (pow.f64 x 2))
(+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x))
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(*.f64 1/16 (pow.f64 x 2))
(+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x))
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)))) 1)
(*.f64 x (/.f64 1 (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(*.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 1)
(*.f64 1 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) (sqrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(*.f64 (/.f64 1 (fma.f64 1/64 (pow.f64 x 3) 1/216)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)) (/.f64 x (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))) (/.f64 x (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(.f64 (/.f64 x (+.f64 1/10077696 (pow.f64 (.f64 x 1/4) 9))) (fma.f64 (*.f64 1/64 (pow.f64 x 3)) (fma.f64 1/64 (pow.f64 x 3) -1/216) 1/46656))
(.f64 (/.f64 x (-.f64 1/46656 (pow.f64 (.f64 x 1/4) 6))) (-.f64 1/216 (*.f64 1/64 (pow.f64 x 3))))
(pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 1)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) 2)
(pow.f64 (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))) 1))
(+.f64 (/.f64 (.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (*.f64 x (fma.f64 x 1/16 -1/24))))
(+.f64 (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 x (fma.f64 x 1/16 -1/24))) (/.f64 (*.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(+.f64 (.f64 (/.f64 (.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)) 1) (.f64 (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (*.f64 x (fma.f64 x 1/16 -1/24))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) x)))) 1)
(/.f64 x (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)))
(/.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) x))
(/.f64 1 (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36))))
(/.f64 (+.f64 1/46656 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 3)) (.f64 (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) x) (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/24)) (fma.f64 x (fma.f64 x 1/16 -1/24) -1/36) 1/1296)))
(/.f64 (-.f64 1/1296 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 2)) (.f64 (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) x) (-.f64 1/36 (*.f64 x (fma.f64 x 1/16 -1/24)))))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) (fma.f64 1/64 (pow.f64 x 3) 1/216))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36))) (neg.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(/.f64 (.f64 x (+.f64 1/46656 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 3))) (.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) (fma.f64 (.f64 x (fma.f64 x 1/16 -1/24)) (fma.f64 x (fma.f64 x 1/16 -1/24) -1/36) 1/1296)))
(/.f64 (.f64 (neg.f64 x) (+.f64 1/46656 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 3))) (.f64 (neg.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216)) (fma.f64 (.f64 x (fma.f64 x 1/16 -1/24)) (fma.f64 x (fma.f64 x 1/16 -1/24) -1/36) 1/1296)))
(/.f64 (.f64 x (-.f64 1/1296 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 2))) (.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) (-.f64 1/36 (.f64 x (fma.f64 x 1/16 -1/24)))))
(/.f64 (.f64 (neg.f64 x) (-.f64 1/1296 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 2))) (.f64 (neg.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216)) (-.f64 1/36 (.f64 x (fma.f64 x 1/16 -1/24)))))
(/.f64 (.f64 (+.f64 1/46656 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 3)) x) (.f64 (fma.f64 (.f64 x (fma.f64 x 1/16 -1/24)) (fma.f64 x (fma.f64 x 1/16 -1/24) -1/36) 1/1296) (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(/.f64 (.f64 (-.f64 1/1296 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 2)) x) (.f64 (-.f64 1/36 (.f64 x (fma.f64 x 1/16 -1/24))) (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(/.f64 (.f64 (+.f64 1/46656 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 3)) 1) (.f64 (fma.f64 (.f64 x (fma.f64 x 1/16 -1/24)) (fma.f64 x (fma.f64 x 1/16 -1/24) -1/36) 1/1296) (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) x)))
(/.f64 (.f64 (-.f64 1/1296 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 2)) 1) (.f64 (-.f64 1/36 (.f64 x (fma.f64 x 1/16 -1/24))) (/.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216) x)))
(/.f64 (.f64 (+.f64 1/46656 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 3)) (neg.f64 x)) (.f64 (fma.f64 (.f64 x (fma.f64 x 1/16 -1/24)) (fma.f64 x (fma.f64 x 1/16 -1/24) -1/36) 1/1296) (neg.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(/.f64 (.f64 (-.f64 1/1296 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 2)) (neg.f64 x)) (.f64 (-.f64 1/36 (.f64 x (fma.f64 x 1/16 -1/24))) (neg.f64 (fma.f64 1/64 (pow.f64 x 3) 1/216))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)) 3) (pow.f64 (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 x (fma.f64 x 1/16 -1/24))) 3)) (fma.f64 (/.f64 (.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)) (/.f64 (.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)) (-.f64 (.f64 (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 x (fma.f64 x 1/16 -1/24))) (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 x (fma.f64 x 1/16 -1/24)))) (.f64 (/.f64 (.f64 1/36 x) (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) (.f64 x (fma.f64 x 1/16 -1/24)))))))
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(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) 1))
(fma.f64 x (*.f64 x 1/16) (fma.f64 x -1/24 1/36))
(fma.f64 x (*.f64 x 1/16) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(fma.f64 x (fma.f64 x 1/16 -1/24) (+.f64 (fma.f64 x -1/24 (*.f64 x 1/24)) 1/36))
(fma.f64 x (.f64 1/4 (.f64 x 1/4)) (fma.f64 x -1/24 1/36))
(fma.f64 x (.f64 1/4 (.f64 x 1/4)) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 1/4 (.f64 x (.f64 x 1/4)) (fma.f64 x -1/24 1/36))
(fma.f64 1/4 (.f64 x (.f64 x 1/4)) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (.f64 x 1/4) (.f64 x 1/4) (fma.f64 x -1/24 1/36))
(fma.f64 (.f64 x 1/4) (.f64 x 1/4) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (*.f64 x x) 1/16 (fma.f64 x -1/24 1/36))
(fma.f64 (*.f64 x x) 1/16 (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 1/16 (*.f64 x x) (fma.f64 x -1/24 1/36))
(fma.f64 1/16 (*.f64 x x) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (.f64 x (.f64 x 1/16)) 1 (fma.f64 x -1/24 1/36))
(fma.f64 (.f64 x (.f64 x 1/16)) 1 (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (*.f64 x (fma.f64 x 1/16 -1/24)) 1 1/36)
(fma.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 1 (+.f64 (fma.f64 x -1/24 (.f64 x 1/24)) 1/36))
(fma.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) 1 (fma.f64 x -1/24 (*.f64 x 1/24)))
(fma.f64 1 (.f64 x (.f64 x 1/16)) (fma.f64 x -1/24 1/36))
(fma.f64 1 (.f64 x (.f64 x 1/16)) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/16 -1/24)) 1/36)
(fma.f64 1 (.f64 x (fma.f64 x 1/16 -1/24)) (+.f64 (fma.f64 x -1/24 (.f64 x 1/24)) 1/36))
(fma.f64 1 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36) (fma.f64 x -1/24 (*.f64 x 1/24)))
(fma.f64 1 (fma.f64 x (.f64 x 1/16) 1/36) (.f64 x -1/24))
(fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) 2) (fma.f64 x -1/24 (*.f64 x 1/24)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) (fma.f64 x -1/24 (*.f64 x 1/24)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/16) (fma.f64 x -1/24 1/36))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/16) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/16)) (fma.f64 x -1/24 1/36))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/16)) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) 2) 1/36)
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) 2) (+.f64 (fma.f64 x -1/24 (*.f64 x 1/24)) 1/36))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) 2) (cbrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) 1/36)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) 2) (cbrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) (+.f64 (fma.f64 x -1/24 (*.f64 x 1/24)) 1/36))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (cbrt.f64 (*.f64 1/256 (pow.f64 x 4))) (fma.f64 x -1/24 1/36))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (cbrt.f64 (*.f64 1/256 (pow.f64 x 4))) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 (cbrt.f64 (.f64 x 1/4)) (*.f64 x 1/4)) (fma.f64 x -1/24 1/36))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 (cbrt.f64 (.f64 x 1/4)) (*.f64 x 1/4)) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (cbrt.f64 (.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 1/16))) (fma.f64 x -1/24 1/36))
(fma.f64 (cbrt.f64 (.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 1/16))) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)) (fma.f64 x -1/24 (*.f64 x 1/24)))
(fma.f64 (.f64 (sqrt.f64 x) 1/2) (pow.f64 (.f64 x 1/4) 3/2) (fma.f64 x -1/24 1/36))
(fma.f64 (.f64 (sqrt.f64 x) 1/2) (pow.f64 (.f64 x 1/4) 3/2) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/16)) (fma.f64 x -1/24 1/36))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/16)) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) (sqrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) 1/36)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) (sqrt.f64 (.f64 x (fma.f64 x 1/16 -1/24))) (+.f64 (fma.f64 x -1/24 (*.f64 x 1/24)) 1/36))
(fma.f64 (-.f64 (pow.f64 (.f64 x 1/4) 6) (.f64 1/13824 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x 1/24) (.f64 x (fma.f64 x 1/16 1/24)) (*.f64 1/256 (pow.f64 x 4)))) 1/36)
(fma.f64 (-.f64 (pow.f64 (.f64 x 1/4) 6) (.f64 1/13824 (pow.f64 x 3))) (/.f64 1 (fma.f64 (.f64 x 1/24) (.f64 x (fma.f64 x 1/16 1/24)) (.f64 1/256 (pow.f64 x 4)))) (+.f64 (fma.f64 x -1/24 (.f64 x 1/24)) 1/36))
(fma.f64 (+.f64 1/46656 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 3)) (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 1/16 -1/24)) (fma.f64 x (fma.f64 x 1/16 -1/24) -1/36) 1/1296)) (fma.f64 x -1/24 (*.f64 x 1/24)))
(fma.f64 (-.f64 (.f64 1/256 (pow.f64 x 4)) (.f64 (.f64 x x) 1/576)) (/.f64 1 (.f64 x (fma.f64 x 1/16 1/24))) 1/36)
(fma.f64 (-.f64 (.f64 1/256 (pow.f64 x 4)) (.f64 (.f64 x x) 1/576)) (/.f64 1 (.f64 x (fma.f64 x 1/16 1/24))) (+.f64 (fma.f64 x -1/24 (*.f64 x 1/24)) 1/36))
(fma.f64 (-.f64 1/1296 (pow.f64 (.f64 x (fma.f64 x 1/16 -1/24)) 2)) (/.f64 1 (-.f64 1/36 (.f64 x (fma.f64 x 1/16 -1/24)))) (fma.f64 x -1/24 (*.f64 x 1/24)))
(fma.f64 (pow.f64 (.f64 x 1/4) 3/2) (.f64 (sqrt.f64 x) 1/2) (fma.f64 x -1/24 1/36))
(fma.f64 (pow.f64 (.f64 x 1/4) 3/2) (.f64 (sqrt.f64 x) 1/2) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (*.f64 x 1/16) x (fma.f64 x -1/24 1/36))
(fma.f64 (*.f64 x 1/16) x (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (cbrt.f64 (fma.f64 x (.f64 x 1/16) 1/36))) (cbrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (*.f64 x -1/24))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (sqrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (*.f64 x -1/24))
(fma.f64 (fma.f64 x 1/4 (sqrt.f64 (.f64 x 1/24))) (-.f64 (.f64 x 1/4) (sqrt.f64 (*.f64 x 1/24))) 1/36)
(fma.f64 (fma.f64 x 1/4 (sqrt.f64 (.f64 x 1/24))) (-.f64 (.f64 x 1/4) (sqrt.f64 (.f64 x 1/24))) (+.f64 (fma.f64 x -1/24 (.f64 x 1/24)) 1/36))
(fma.f64 (.f64 (.f64 x 1/4) x) 1/4 (fma.f64 x -1/24 1/36))
(fma.f64 (.f64 (.f64 x 1/4) x) 1/4 (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (.f64 (.f64 x 1/4) 1/4) x (fma.f64 x -1/24 1/36))
(fma.f64 (.f64 (.f64 x 1/4) 1/4) x (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (.f64 (.f64 x 1/4) (cbrt.f64 (.f64 x (.f64 x 1/16)))) (cbrt.f64 (*.f64 x 1/4)) (fma.f64 x -1/24 1/36))
(fma.f64 (.f64 (.f64 x 1/4) (cbrt.f64 (.f64 x (.f64 x 1/16)))) (cbrt.f64 (*.f64 x 1/4)) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (*.f64 1/16 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -1/24 1/36))
(fma.f64 (*.f64 1/16 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (fma.f64 x 1/24 -1/36)))

Outputs
(*.f64 216 x)
(+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))
(fma.f64 -729 (pow.f64 x 4) (*.f64 216 x))
(+.f64 (.f64 19683/8 (pow.f64 x 7)) (+.f64 (.f64 -729 (pow.f64 x 4)) (*.f64 216 x)))
(fma.f64 19683/8 (pow.f64 x 7) (fma.f64 -729 (pow.f64 x 4) (*.f64 216 x)))
(+.f64 (.f64 19683/8 (pow.f64 x 7)) (+.f64 (.f64 -531441/64 (pow.f64 x 10)) (+.f64 (.f64 -729 (pow.f64 x 4)) (.f64 216 x))))
(fma.f64 19683/8 (pow.f64 x 7) (fma.f64 -531441/64 (pow.f64 x 10) (fma.f64 -729 (pow.f64 x 4) (*.f64 216 x))))
(/.f64 64 (pow.f64 x 2))
(/.f64 64 (*.f64 x x))
(-.f64 (.f64 64 (/.f64 1 (pow.f64 x 2))) (.f64 512/27 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 64 (*.f64 x x)) (/.f64 512/27 (pow.f64 x 5)))
(+.f64 (/.f64 64 (*.f64 x x)) (/.f64 -512/27 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 4096/729 (/.f64 1 (pow.f64 x 8))) (.f64 64 (/.f64 1 (pow.f64 x 2)))) (*.f64 512/27 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 4096/729 (pow.f64 x 8)) (-.f64 (/.f64 64 (*.f64 x x)) (/.f64 512/27 (pow.f64 x 5))))
(+.f64 (/.f64 64 (*.f64 x x)) (-.f64 (/.f64 4096/729 (pow.f64 x 8)) (/.f64 512/27 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 4096/729 (/.f64 1 (pow.f64 x 8))) (.f64 64 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 32768/19683 (/.f64 1 (pow.f64 x 11))) (.f64 512/27 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 4096/729 (pow.f64 x 8)) (-.f64 (/.f64 64 (*.f64 x x)) (+.f64 (/.f64 512/27 (pow.f64 x 5)) (/.f64 32768/19683 (pow.f64 x 11)))))
(+.f64 (+.f64 (/.f64 64 (*.f64 x x)) (-.f64 (/.f64 4096/729 (pow.f64 x 8)) (/.f64 32768/19683 (pow.f64 x 11)))) (/.f64 -512/27 (pow.f64 x 5)))
(/.f64 64 (pow.f64 x 2))
(/.f64 64 (*.f64 x x))
(-.f64 (.f64 64 (/.f64 1 (pow.f64 x 2))) (.f64 512/27 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 64 (*.f64 x x)) (/.f64 512/27 (pow.f64 x 5)))
(+.f64 (/.f64 64 (*.f64 x x)) (/.f64 -512/27 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 4096/729 (/.f64 1 (pow.f64 x 8))) (.f64 64 (/.f64 1 (pow.f64 x 2)))) (*.f64 512/27 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 4096/729 (pow.f64 x 8)) (-.f64 (/.f64 64 (*.f64 x x)) (/.f64 512/27 (pow.f64 x 5))))
(+.f64 (/.f64 64 (*.f64 x x)) (-.f64 (/.f64 4096/729 (pow.f64 x 8)) (/.f64 512/27 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 4096/729 (/.f64 1 (pow.f64 x 8))) (.f64 64 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 32768/19683 (/.f64 1 (pow.f64 x 11))) (.f64 512/27 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 4096/729 (pow.f64 x 8)) (-.f64 (/.f64 64 (*.f64 x x)) (+.f64 (/.f64 512/27 (pow.f64 x 5)) (/.f64 32768/19683 (pow.f64 x 11)))))
(+.f64 (+.f64 (/.f64 64 (*.f64 x x)) (-.f64 (/.f64 4096/729 (pow.f64 x 8)) (/.f64 32768/19683 (pow.f64 x 11)))) (/.f64 -512/27 (pow.f64 x 5)))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 -9 (pow.f64 x 2)))
(fma.f64 6 x (.f64 -9 (.f64 x x)))
(fma.f64 x 6 (.f64 -9 (.f64 x 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 x 6 (fma.f64 -9 (.f64 x x) (.f64 27/2 (pow.f64 x 3))))
(+.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 x 6 (fma.f64 27/2 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -81/4 (.f64 -9 (.f64 x x)))))
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 4 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 8/3 x)))
(+.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 4 (/.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 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 4 (-.f64 (/.f64 16/9 (*.f64 x x)) (/.f64 8/3 x)))
(+.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 4 (/.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 4 (-.f64 (/.f64 16/9 (*.f64 x x)) (+.f64 (/.f64 8/3 x) (/.f64 32/27 (pow.f64 x 3)))))
1/36
(+.f64 1/36 (*.f64 -1/24 x))
(fma.f64 x -1/24 1/36)
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x))
(fma.f64 1/16 (.f64 x x) (.f64 x -1/24))
(*.f64 x (fma.f64 x 1/16 -1/24))
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(*.f64 1/16 (pow.f64 x 2))
(.f64 x (.f64 x 1/16))
(+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x))
(fma.f64 1/16 (.f64 x x) (.f64 x -1/24))
(*.f64 x (fma.f64 x 1/16 -1/24))
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(+.f64 1/36 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/24 x)))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)))) 1)
(/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))
(/.f64 x (fma.f64 (pow.f64 x 3) 1/64 1/216))
(*.f64 x (/.f64 1 (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))
(/.f64 x (fma.f64 (pow.f64 x 3) 1/64 1/216))
(*.f64 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)) 1)
(/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))
(/.f64 x (fma.f64 (pow.f64 x 3) 1/64 1/216))
(*.f64 1 (/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216)))
(/.f64 x (fma.f64 1/64 (pow.f64 x 3) 1/216))
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(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (sqrt.f64 (fma.f64 x (.f64 x 1/16) 1/36)) (*.f64 x -1/24))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(fma.f64 (fma.f64 x 1/4 (sqrt.f64 (.f64 x 1/24))) (-.f64 (.f64 x 1/4) (sqrt.f64 (*.f64 x 1/24))) 1/36)
(fma.f64 (fma.f64 x 1/4 (sqrt.f64 (.f64 x 1/24))) (-.f64 (.f64 x 1/4) (sqrt.f64 (.f64 x 1/24))) (+.f64 (fma.f64 x -1/24 (.f64 x 1/24)) 1/36))
(fma.f64 (fma.f64 x 1/4 (sqrt.f64 (.f64 x 1/24))) (-.f64 (.f64 x 1/4) (sqrt.f64 (.f64 x 1/24))) (+.f64 1/36 (fma.f64 x -1/24 (.f64 x 1/24))))
(+.f64 (fma.f64 (fma.f64 x 1/4 (sqrt.f64 (.f64 x 1/24))) (-.f64 (.f64 x 1/4) (sqrt.f64 (.f64 x 1/24))) 1/36) (.f64 x 0))
(fma.f64 (.f64 (.f64 x 1/4) x) 1/4 (fma.f64 x -1/24 1/36))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(fma.f64 (.f64 (.f64 x 1/4) x) 1/4 (neg.f64 (fma.f64 x 1/24 -1/36)))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(fma.f64 (.f64 (.f64 x 1/4) 1/4) x (fma.f64 x -1/24 1/36))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(fma.f64 (.f64 (.f64 x 1/4) 1/4) x (neg.f64 (fma.f64 x 1/24 -1/36)))
(+.f64 1/36 (fma.f64 1/16 (.f64 x x) (.f64 x -1/24)))
(fma.f64 x (fma.f64 x 1/16 -1/24) 1/36)
(fma.f64 (.f64 (.f64 x 1/4) (cbrt.f64 (.f64 x (.f64 x 1/16)))) (cbrt.f64 (*.f64 x 1/4)) (fma.f64 x -1/24 1/36))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 (.f64 x 1/4) (cbrt.f64 (*.f64 x 1/4))) (fma.f64 x -1/24 1/36))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 x (.f64 1/4 (cbrt.f64 (*.f64 x 1/4)))) (fma.f64 x -1/24 1/36))
(fma.f64 (.f64 (.f64 x 1/4) (cbrt.f64 (.f64 x (.f64 x 1/16)))) (cbrt.f64 (*.f64 x 1/4)) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 (.f64 x 1/4) (cbrt.f64 (*.f64 x 1/4))) (fma.f64 x -1/24 1/36))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (.f64 x (.f64 1/4 (cbrt.f64 (*.f64 x 1/4)))) (fma.f64 x -1/24 1/36))
(fma.f64 (*.f64 1/16 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -1/24 1/36))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 x -1/24 1/36))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/16 (cbrt.f64 (pow.f64 x 4))) (fma.f64 x -1/24 1/36))
(fma.f64 (*.f64 1/16 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (fma.f64 x 1/24 -1/36)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 x -1/24 1/36))
(fma.f64 (*.f64 1/16 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -1/24 1/36))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/16 (cbrt.f64 (pow.f64 x 4))) (fma.f64 x -1/24 1/36))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 x -1/9))
✓	0.4b	(/.f64 x -1/9)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite45.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`pow1_binary64`
491×	`add-sqr-sqrt_binary64`
473×	`add-log-exp_binary64`
473×	`log1p-expm1-u_binary64`
473×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	109	11
2	1299	11

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

((#(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 (*.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 (sqrt.f64 (*.f64 x -9)) (sqrt.f64 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) 9)))) (#(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 (sqrt.f64 (*.f64 x -9)) 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 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 81))))) (#(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 (+.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 (neg.f64 (*.f64 x x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 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 (sqrt.f64 -1/9)) 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))))))))

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-def_binary64`
562×	`log-prod_binary64`
440×	`unswap-sqr_binary64`
388×	`associate-/l/_binary64`
209×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	345
1	209	345
2	746	345
3	3405	345

Stop Event

1×	node limit

Counts

64 → 42

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)
(*.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 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (*.f64 x -9)))
(*.f64 (neg.f64 x) 9)
(*.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 (sqrt.f64 (*.f64 x -9)) 2)
(pow.f64 (/.f64 -1/9 x) -1)
(neg.f64 (/.f64 x 1/9))
(sqrt.f64 (.f64 (.f64 x x) 81))
(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 (+.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 (neg.f64 (*.f64 x x)) 1/9)
(/.f64 (*.f64 (neg.f64 x) x) 1/9)
(/.f64 (*.f64 x (neg.f64 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 (sqrt.f64 -1/9)) 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 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)
(*.f64 x -9)
(*.f64 -9 x)
(.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 (sqrt.f64 (.f64 x -9)) (sqrt.f64 (*.f64 x -9)))
(*.f64 -9 x)
(*.f64 (neg.f64 x) 9)
(*.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 (sqrt.f64 (*.f64 x -9)) 2)
(*.f64 -9 x)
(pow.f64 (/.f64 -1/9 x) -1)
(*.f64 -9 x)
(neg.f64 (/.f64 x 1/9))
(*.f64 -9 x)
(sqrt.f64 (.f64 (.f64 x x) 81))
(*.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 (+.f64 1 (.f64 x (.f64 x -9))) 1)
(.f64 -9 (.f64 x x))
(/.f64 x (/.f64 -1/9 x))
(.f64 -9 (.f64 x x))
(/.f64 1 (/.f64 -1/9 (*.f64 x x)))
(.f64 -9 (.f64 x x))
(/.f64 (*.f64 x x) -1/9)
(.f64 -9 (.f64 x x))
(/.f64 (neg.f64 (*.f64 x x)) 1/9)
(.f64 -9 (.f64 x x))
(/.f64 (*.f64 (neg.f64 x) x) 1/9)
(.f64 -9 (.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) 1/9)
(.f64 -9 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -9)) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x -9)) 3) 1/3)
(.f64 -9 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 3)
(.f64 -9 (.f64 x x))
(pow.f64 (/.f64 x (sqrt.f64 -1/9)) 2)
(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))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`pow1_binary64`
420×	`add-sqr-sqrt_binary64`
410×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (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 (pow.f64 (exp.f64 (*.f64 x 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 (fma.f64 2 (log.f64 x) (log1p.f64 -10)))))))

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

509×	`associate-l_binary64`
441×	`associate-r_binary64`
338×	`cube-prod_binary64`
337×	`fabs-mul_binary64`
263×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	220
1	108	210
2	360	195
3	3103	195
4	4707	195
5	6983	195

Stop Event

1×	node limit

Counts

26 → 19

Calls

Call 1

Inputs
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(*.f64 -9 (pow.f64 x 2))
(+.f64 0 (.f64 x (.f64 x -9)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9)) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9))))
(-.f64 (+.f64 1 (.f64 x (.f64 x -9))) 1)
(pow.f64 (.f64 x (.f64 x -9)) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x -9)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -9)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(log.f64 (pow.f64 (exp.f64 (*.f64 x 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 (fma.f64 2 (log.f64 x) (log1p.f64 -10)))

Outputs
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(*.f64 -9 (pow.f64 x 2))
(.f64 -9 (.f64 x x))
(+.f64 0 (.f64 x (.f64 x -9)))
(.f64 -9 (.f64 x x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9)) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -9))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -9))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) -9))))
(.f64 -9 (.f64 x x))
(-.f64 (+.f64 1 (.f64 x (.f64 x -9))) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -9)) 1)
(.f64 -9 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x -9)) 3) 1/3)
(.f64 -9 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -9))) 3)
(.f64 -9 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -9)) 2)
(.f64 -9 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(.f64 -9 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 x 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 (fma.f64 2 (log.f64 x) (log1p.f64 -10)))
(.f64 (.f64 x x) (exp.f64 (log1p.f64 -10)))

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)

series4.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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))

rewrite43.0ms (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))))))))

simplify35.0ms (0.7%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`pow1_binary64`
668×	`add-log-exp_binary64`
668×	`log1p-expm1-u_binary64`
668×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	7
2	1899	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

606×	`log-prod_binary64`
554×	`log-div_binary64`
453×	`associate-/l*_binary64`
447×	`fma-def_binary64`
444×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	432
1	312	432
2	1023	432
3	5320	432

Stop Event

1×	node limit

Counts

53 → 45

Calls

Call 1

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

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 -9 (.f64 x x))) 1)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(.f64 -9 (.f64 x x))
(.f64 -9 (.f64 x x))
(*.f64 -9 (/.f64 x (/.f64 1 x)))
(.f64 -9 (.f64 x x))
(.f64 (.f64 x -9) x)
(.f64 -9 (.f64 x x))
(.f64 1 (.f64 -9 (*.f64 x x)))
(.f64 -9 (.f64 x x))
(.f64 (.f64 -9 (*.f64 x x)) 1)
(.f64 -9 (.f64 x x))
(.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 -9 (*.f64 x x))) 2))
(.f64 -9 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) 2) (cbrt.f64 (.f64 -9 (*.f64 x x))))
(.f64 -9 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) 2) (.f64 (cbrt.f64 (.f64 x -9)) x))
(.f64 -9 (.f64 x x))
(.f64 (sqrt.f64 (.f64 -9 (.f64 x x))) (sqrt.f64 (.f64 -9 (*.f64 x x))))
(.f64 -9 (.f64 x x))
(.f64 (sqrt.f64 (.f64 x -9)) (.f64 (sqrt.f64 (.f64 x -9)) x))
(.f64 -9 (.f64 x x))
(.f64 (.f64 x 9) (/.f64 1 (/.f64 -1 x)))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 x (/.f64 1 x)) -9)
(.f64 -9 (.f64 x x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x -9)) (/.f64 1 x)))
(.f64 -9 (.f64 x x))
(.f64 (/.f64 (sqrt.f64 (.f64 x -9)) 1) (/.f64 (sqrt.f64 (*.f64 x -9)) (/.f64 1 x)))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (/.f64 -9 (/.f64 1 (cbrt.f64 x))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (.f64 -9 (cbrt.f64 x)))
(.f64 x (/.f64 (.f64 -9 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 -9 (cbrt.f64 (pow.f64 x -2))) (/.f64 x (/.f64 1 (cbrt.f64 x))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (.f64 -9 (cbrt.f64 x)))
(.f64 x (/.f64 (.f64 -9 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (.f64 x -9) (/.f64 1 (cbrt.f64 x))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (.f64 -9 (cbrt.f64 x)))
(.f64 x (/.f64 (.f64 -9 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (.f64 -9 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 -9 (.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 -9 x)) 2) (cbrt.f64 (pow.f64 x -2))))
(.f64 (/.f64 (sqrt.f64 (.f64 x -9)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (*.f64 x -9)) (/.f64 1 (cbrt.f64 x))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (.f64 -9 (cbrt.f64 x)))
(.f64 x (/.f64 (.f64 -9 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 x (pow.f64 x -1/2)) (/.f64 -9 (pow.f64 x -1/2)))
(.f64 -9 (.f64 x x))
(*.f64 (/.f64 -9 (pow.f64 x -1/2)) (/.f64 x (pow.f64 x -1/2)))
(.f64 -9 (.f64 x x))
(.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (.f64 x -9) (pow.f64 x -1/2)))
(.f64 -9 (.f64 x x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x -9)) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (*.f64 x -9)) (pow.f64 x -1/2)))
(.f64 -9 (.f64 x x))
(.f64 (/.f64 (.f64 x -9) -1) (neg.f64 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 -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 (sqrt.f64 (.f64 -9 (.f64 x x))) 2)
(.f64 -9 (.f64 x x))
(pow.f64 (*.f64 -1/9 (pow.f64 x -2)) -1)
(.f64 -9 (.f64 x x))
(neg.f64 (/.f64 (*.f64 x -9) (/.f64 -1 x)))
(.f64 -9 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 -9 (.f64 x x)) 2))
(.f64 -9 (.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) -9) x))
(.f64 -9 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 -9 (.f64 x x)) 3))
(.f64 -9 (.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x -9) 3) (pow.f64 (/.f64 1 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))

eval748.0ms (15.7%)

Compiler: Compiled 10810 to 8111 computations (25% saved)

prune106.0ms (2.2%)

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	501	2	503
Fresh	0	2	2
Picked	0	1	1
Done	2	11	13
Total	503	16	519

Error

Counts

519 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	41.3b	(/.f64 (*.f64 x x) -1/9)
	21.7b	(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))
✓	41.4b	(/.f64 (*.f64 x -9) (/.f64 1 x))
✓	41.4b	(/.f64 x (/.f64 -1/9 x))
✓	21.8b	(/.f64 x (+.f64 1/6 (*.f64 1/4 x)))
✓	21.6b	(/.f64 x 1/6)
✓	21.6b	(/.f64 6 (/.f64 1 x))
✓	0.2b	(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
✓	41.3b	(.f64 (.f64 x x) -9)
	21.4b	(.f64 (.f64 216 x) (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 1/24 x))))
✓	41.4b	(*.f64 x (/.f64 x -1/9))
✓	0.2b	(.f64 x (+.f64 6 (.f64 x -9)))
✓	41.3b	(.f64 x (.f64 x -9))
✓	21.5b	(*.f64 x 6)
✓	0.3b	(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
	62.1b	4

Compiler

Compiled 116 to 86 computations (25.9% saved)

regimes60.0ms (1.3%)

Counts

27 → 1

Calls

Call 1

Inputs
4
(*.f64 x 6)
(/.f64 x 1/6)
(.f64 -9 (.f64 x x))
(.f64 x (.f64 x -9))
(*.f64 x (/.f64 x -1/9))
(.f64 (.f64 x x) -9)
(/.f64 6 (/.f64 1 x))
(/.f64 x (/.f64 -1/9 x))
(/.f64 (*.f64 x x) -1/9)
(.f64 3 (.f64 (*.f64 x -3) x))
(.f64 x (+.f64 6 (.f64 x -9)))
(/.f64 x (+.f64 1/6 (*.f64 1/4 x)))
(/.f64 (*.f64 x -9) (/.f64 1 x))
(.f64 3 (.f64 (-.f64 2 (*.f64 3 x)) x))
(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
(+.f64 (.f64 x 6) (.f64 -9 (*.f64 x x)))
(/.f64 (.f64 x 36) (+.f64 6 (.f64 9 x)))
(.f64 (.f64 216 x) (+.f64 1/36 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 1/24 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)) x) (+.f64 6 (.f64 9 x)))
(/.f64 (fma.f64 x -9 6) (/.f64 1 x))
(fma.f64 (.f64 x x) -9 (.f64 x 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 216 (.f64 (pow.f64 x 3) -729)) (/.f64 (+.f64 36 (+.f64 (.f64 x (.f64 x 81)) (.f64 54 x))) x))
(/.f64 x (exp.f64 (neg.f64 (log.f64 (+.f64 6 (*.f64 -9 x))))))
(.f64 3 (pow.f64 (sqrt.f64 (.f64 x (-.f64 2 (*.f64 3 x)))) 2))

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

Calls

3 calls:

27.0ms	x
12.0ms	(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)
12.0ms	(.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)`
0.2b	1	`(.f64 (.f64 3 (-.f64 2 (*.f64 x 3))) x)`

Compiler

Compiled 254 to 179 computations (29.5% saved)

regimes19.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 52 to 32 computations (38.5% saved)

bsearch39.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.0029421815227809534	3.226869379285251
27.0ms	-3640.325933075684	-0.0057880256772278186

Results

36.0ms

272×

body

256

valid

Compiler

Compiled 218 to 164 computations (24.8% saved)

regimes11.0ms (0.2%)

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:

10.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.0029421815227809534	3.226869379285251
14.0ms	-3640.325933075684	-0.0057880256772278186

Results

22.0ms

272×

body

256

valid

Compiler

Compiled 218 to 164 computations (24.8% saved)

regimes38.0ms (0.8%)

Accuracy

Total -40.6b remaining (-188.8%)

Threshold costs -40.6b (-188.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 x 6)

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
21.5b	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	75
1	26	75

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 58 to 40 computations (31% saved)

soundness100.0ms (2.1%)

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

Compiler

Compiled 113 to 93 computations (17.7% saved)

end56.0ms (1.2%)

Compiler: Compiled 54 to 35 computations (35.2% saved)