Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
90.9%	62.5%	6.2%	0%	31.2%	0%	0%	6
95.5%	65.6%	3.1%	0%	31.2%	0%	0%	7
97.7%	65.6%	1.6%	0%	32.8%	0%	0%	8
98.8%	66.4%	0.8%	0%	32.8%	0%	0%	9
99.4%	66.4%	0.4%	0%	33.2%	0%	0%	10
99.7%	66.6%	0.2%	0%	33.2%	0%	0%	11
99.9%	66.6%	0.1%	0%	33.3%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample783.0ms (15.4%)

Results

770.0ms	8256×	body	256	valid
0.0ms	5×	body	256	infinite

Bogosity

preprocess107.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify100.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 36 to 24 computations (33.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	0.1b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
1.0ms	x	@	inf	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
1.0ms	x	@	0	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
1.0ms	x	@	0	(.f64 x (-.f64 3 (.f64 x 2)))
0.0ms	x	@	-inf	(.f64 x (-.f64 3 (.f64 x 2)))

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary64`
819×	`add-log-exp_binary64`
818×	`log1p-expm1-u_binary64`
818×	`expm1-log1p-u_binary64`
806×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	176	23
2	2211	23

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

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

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

843×	`log-prod_binary64`
437×	`fma-neg_binary64`
418×	`unswap-sqr_binary64`
290×	`distribute-rgt-in_binary64`
287×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	750
1	257	645
2	917	621
3	4267	621
4	6819	621

Stop Event

1×	node limit

Counts

60 → 63

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
800×	`add-log-exp_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	176	13
2	2201	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

848×	`log-prod_binary64`
709×	`associate-l_binary64`
612×	`associate-r_binary64`
236×	`associate-+l+_binary64`
233×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	447
1	204	393
2	689	377
3	4565	377

Stop Event

1×	node limit

Counts

31 → 34

Calls

Call 1

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

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

eval24.0ms (0.5%)

Compiler: Compiled 1284 to 870 computations (32.2% saved)

prune18.0ms (0.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	87	10	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	12	99

Error

Counts

99 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	7.1b	(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
▶	5.7b	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
▶	3.3b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
	0.3b	(/.f64 (.f64 x x) (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (.f64 x x) 4))))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	0.2b	(.f64 x (/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (.f64 x x) 4)))))
✓	0.1b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
▶	22.5b	(.f64 x (.f64 x (*.f64 x -2)))
	16.8b	(.f64 x (.f64 3 x))
▶	16.9b	(.f64 3 (.f64 x x))
	22.4b	(*.f64 -2 (pow.f64 x 3))
	22.1b	(sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (.f64 x -2)) 2)))

Compiler

Compiled 276 to 198 computations (28.3% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) 4)
✓	0.1b	(/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4)))
✓	0.1b	(.f64 x (/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (.f64 x x) 4)))))
✓	0.3b	(/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4))))

Compiler

Compiled 74 to 48 computations (35.1% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4))))
1.0ms	x	@	inf	(/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4))))
1.0ms	x	@	0	(/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4))))
0.0ms	x	@	inf	(/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4)))
0.0ms	x	@	0	(.f64 x (/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (.f64 x x) 4)))))

rewrite70.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`log-prod_binary64`
470×	`prod-diff_binary64`
259×	`fma-def_binary64`
257×	`expm1-udef_binary64`
257×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	319	40
2	4450	40

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4))))
(.f64 x (/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (.f64 x x) 4)))))
(/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4)))
(.f64 (.f64 x x) 4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (+.f64 3 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 9 (/.f64 x (fma.f64 x 2 3))) (.f64 (.f64 (.f64 x x) -4) (/.f64 x (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (fma.f64 x 2 3)) 9) (.f64 (/.f64 x (fma.f64 x 2 3)) (.f64 (.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 3 (.f64 -2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 3 (.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -4 9) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 3 (.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 3 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 3 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))) 2) (cbrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 3 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))) (sqrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 3 (.f64 -2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (fma.f64 x 2 3)) (fma.f64 (.f64 x x) -4 9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 2 3)) (/.f64 x (/.f64 1 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (+.f64 3 (.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2))) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x))))) (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x))))) (/.f64 (cbrt.f64 x) (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (fma.f64 x 2 3)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 3)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2))) (cbrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (neg.f64 (fma.f64 x 2 3))) (neg.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x (fma.f64 x 2 3)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 3 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 3 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 -2 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (.f64 (cbrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x)))) (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 2 3)) (.f64 (sqrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 2 3)) (/.f64 1 (neg.f64 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 (.f64 x x) -4 9)) (fma.f64 x 2 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) 1) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (/.f64 (fma.f64 x 2 3) (cbrt.f64 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (cbrt.f64 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (/.f64 (fma.f64 x 2 3) (sqrt.f64 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (sqrt.f64 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 2 3) (-.f64 729 (.f64 (pow.f64 (.f64 x x) 3) 64))) (+.f64 81 (fma.f64 36 (.f64 x x) (.f64 (pow.f64 x 4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 2 3) (-.f64 81 (.f64 (pow.f64 x 4) 16))) (fma.f64 x (.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 -2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3 (.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 2 3) (neg.f64 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 3) 3) (pow.f64 (fma.f64 (.f64 x x) -4 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 3 (.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 3 (.f64 -2 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (+.f64 x x))) 1))))))

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-def_binary64`
446×	`associate-/r/_binary64`
370×	`associate-/l/_binary64`
340×	`fma-neg_binary64`
154×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	367	2648
1	919	2169
2	3201	2090
3	7724	2082

Stop Event

1×	node limit

Counts

180 → 218

Calls

Call 1

Inputs
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
1/3
(+.f64 1/3 (*.f64 2/9 x))
(+.f64 1/3 (+.f64 (.f64 2/9 x) (.f64 4/27 (pow.f64 x 2))))
(+.f64 (.f64 8/81 (pow.f64 x 3)) (+.f64 1/3 (+.f64 (.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2)))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 27/16 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 x))))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 27/16 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 x))))))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(+.f64 0 (.f64 x (+.f64 3 (.f64 -2 x))))
(+.f64 (.f64 9 (/.f64 x (fma.f64 x 2 3))) (.f64 (.f64 (.f64 x x) -4) (/.f64 x (fma.f64 x 2 3))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 2 3)) 9) (.f64 (/.f64 x (fma.f64 x 2 3)) (.f64 (.f64 x x) -4)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (.f64 -2 x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 3 (.f64 -2 x))))) 1)
(.f64 x (+.f64 3 (.f64 -2 x)))
(.f64 (fma.f64 (.f64 x x) -4 9) (/.f64 x (fma.f64 x 2 3)))
(.f64 (.f64 x (+.f64 3 (*.f64 -2 x))) 1)
(.f64 1 (.f64 x (+.f64 3 (*.f64 -2 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 3 (*.f64 -2 x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 3 (*.f64 -2 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))) 2) (cbrt.f64 (.f64 x (+.f64 3 (*.f64 -2 x)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 3 (*.f64 -2 x))))
(.f64 (sqrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))) (sqrt.f64 (.f64 x (+.f64 3 (*.f64 -2 x)))))
(.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (+.f64 3 (.f64 -2 x)))))
(.f64 (+.f64 3 (.f64 -2 x)) x)
(.f64 (/.f64 x (fma.f64 x 2 3)) (fma.f64 (.f64 x x) -4 9))
(.f64 (/.f64 1 (fma.f64 x 2 3)) (/.f64 x (/.f64 1 (fma.f64 (.f64 x x) -4 9))))
(.f64 (/.f64 x 1) (+.f64 3 (.f64 -2 x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2))) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x))))))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x))))) (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x))))) (/.f64 (cbrt.f64 x) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 3 (.f64 -2 x)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 3 (.f64 -2 x)))))
(.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 2 3)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 (.f64 x x) -4 9))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 3)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 (.f64 x x) -4 9))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2))) (cbrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x))))))
(.f64 (/.f64 x (neg.f64 (fma.f64 x 2 3))) (neg.f64 (fma.f64 (.f64 x x) -4 9)))
(.f64 (.f64 (/.f64 x (fma.f64 x 2 3)) 1) (fma.f64 (*.f64 x x) -4 9))
(.f64 (.f64 (/.f64 x (fma.f64 x 2 3)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (cbrt.f64 (fma.f64 (.f64 x x) -4 9)))
(.f64 (.f64 (/.f64 x (fma.f64 x 2 3)) (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (sqrt.f64 (fma.f64 (.f64 x x) -4 9)))
(pow.f64 (.f64 x (+.f64 3 (.f64 -2 x))) 1)
(pow.f64 (pow.f64 (.f64 x (+.f64 3 (.f64 -2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))) 3)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 3 (.f64 -2 x)))) 2)
(pow.f64 (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x) -1)
(neg.f64 (/.f64 x (/.f64 -1 (+.f64 3 (*.f64 -2 x)))))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 3 (.f64 -2 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 -2 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 3 (.f64 -2 x))))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 3 (.f64 -2 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3)))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 3 (.f64 -2 x)))))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 3 (.f64 -2 x)))))
(exp.f64 (log.f64 (.f64 x (+.f64 3 (.f64 -2 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 3 (*.f64 -2 x)))) 1))
(fma.f64 9 (/.f64 x (fma.f64 x 2 3)) (.f64 (.f64 (*.f64 x x) -4) (/.f64 x (fma.f64 x 2 3))))
(fma.f64 (/.f64 x (fma.f64 x 2 3)) 9 (.f64 (/.f64 x (fma.f64 x 2 3)) (.f64 (*.f64 x x) -4)))
(+.f64 0 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 -2 x))))) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 -2 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (*.f64 -2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 -2 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 -2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))))) 1)
(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) (.f64 x x)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (.f64 x (neg.f64 x)) (/.f64 -1 (+.f64 3 (.f64 -2 x))))
(/.f64 (/.f64 (.f64 x x) (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x))))) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))))
(/.f64 (/.f64 (.f64 x x) (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (/.f64 (.f64 x x) 1) (/.f64 1 (+.f64 3 (.f64 -2 x))))
(/.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2))) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(pow.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x))))) 3)
(pow.f64 (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 -2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (+.f64 3 (*.f64 -2 x))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (+.f64 3 (*.f64 -2 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x))))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x))))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (+.f64 3 (*.f64 -2 x)))))
(exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 (+.f64 3 (.f64 -2 x)))) 1))
(+.f64 0 (/.f64 1 (+.f64 3 (*.f64 -2 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))) 1)
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 1)
(.f64 1 (/.f64 1 (+.f64 3 (.f64 -2 x))))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 -2 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (.f64 (cbrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x)))) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))))
(.f64 (sqrt.f64 (fma.f64 x 2 3)) (.f64 (sqrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (neg.f64 (fma.f64 x 2 3)) (/.f64 1 (neg.f64 (fma.f64 (.f64 x x) -4 9))))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) -4 9)) (fma.f64 x 2 3))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 (.f64 x x) -4 9)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) 1) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (fma.f64 (.f64 x x) -4 9)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (/.f64 (fma.f64 x 2 3) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (/.f64 (fma.f64 x 2 3) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (/.f64 (fma.f64 x 2 3) (-.f64 729 (.f64 (pow.f64 (.f64 x x) 3) 64))) (+.f64 81 (fma.f64 36 (.f64 x x) (*.f64 (pow.f64 x 4) 16))))
(.f64 (/.f64 (fma.f64 x 2 3) (-.f64 81 (.f64 (pow.f64 x 4) 16))) (fma.f64 x (*.f64 x 4) 9))
(pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))) 2)
(pow.f64 (+.f64 3 (*.f64 -2 x)) -1)
(neg.f64 (/.f64 (fma.f64 x 2 3) (neg.f64 (fma.f64 (*.f64 x x) -4 9))))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 3) 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 3 (*.f64 -2 x)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 3 (.f64 -2 x)))) 1))
(+.f64 0 (.f64 x (.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 4)))) 1)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (.f64 x (.f64 x 4)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 16))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 64))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 4))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 4))))
(exp.f64 (*.f64 2 (log.f64 (+.f64 x x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 x x))) 1))

Outputs
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 -2 (.f64 x x))
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 -2 (.f64 x x))
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
1/3
(+.f64 1/3 (*.f64 2/9 x))
(+.f64 1/3 (*.f64 x 2/9))
(fma.f64 x 2/9 1/3)
(+.f64 1/3 (+.f64 (.f64 2/9 x) (.f64 4/27 (pow.f64 x 2))))
(+.f64 1/3 (fma.f64 2/9 x (.f64 4/27 (.f64 x x))))
(+.f64 1/3 (fma.f64 x 2/9 (.f64 x (.f64 x 4/27))))
(fma.f64 x 2/9 (fma.f64 x (*.f64 x 4/27) 1/3))
(+.f64 (.f64 8/81 (pow.f64 x 3)) (+.f64 1/3 (+.f64 (.f64 2/9 x) (*.f64 4/27 (pow.f64 x 2)))))
(fma.f64 8/81 (pow.f64 x 3) (+.f64 1/3 (fma.f64 2/9 x (.f64 4/27 (.f64 x x)))))
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(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) (.f64 x x)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (+.f64 3 (.f64 x -2)))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (fma.f64 x -2 3))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (pow.f64 x 4)) (fma.f64 x -2 3)))
(/.f64 (.f64 x (neg.f64 x)) (/.f64 -1 (+.f64 3 (.f64 -2 x))))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(/.f64 (/.f64 (.f64 x x) (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x))))) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(/.f64 (/.f64 (.f64 x x) (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(.f64 (fma.f64 x (.f64 x -4) 9) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))
(.f64 (/.f64 x (fma.f64 x 2 3)) (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 (/.f64 (.f64 x x) 1) (/.f64 1 (+.f64 3 (.f64 -2 x))))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(/.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2))) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(/.f64 (.f64 x x) (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 x -2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 x -2))))))
(.f64 (cbrt.f64 (fma.f64 x -2 3)) (.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))) x))
(.f64 (.f64 x x) (/.f64 (cbrt.f64 (fma.f64 x -2 3)) (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))))
(pow.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))) 1)
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))) 3) 1/3)
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x))))) 3)
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(pow.f64 (/.f64 x (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x))))) 2)
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))) 2))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 -2 x)))))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))))))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x)))) 3))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (+.f64 3 (*.f64 -2 x))) 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (+.f64 3 (*.f64 -2 x))) 3) (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x))))))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (+.f64 3 (*.f64 -2 x))))))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (+.f64 3 (*.f64 -2 x)))))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 (+.f64 3 (.f64 -2 x)))) 1))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (fma.f64 x -2 3) (.f64 x x))
(+.f64 0 (/.f64 1 (+.f64 3 (*.f64 -2 x))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 x -2))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 x -2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 x -2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 -2 x)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 3 (.f64 x -2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))) 1)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 1)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(.f64 1 (/.f64 1 (+.f64 3 (.f64 -2 x))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 -2 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 x -2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 x -2)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) (cbrt.f64 (fma.f64 x -2 3)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 -2 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 x -2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 x -2)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) (cbrt.f64 (fma.f64 x -2 3)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (.f64 (cbrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (.f64 (/.f64 1 (fma.f64 (*.f64 x x) -4 9)) (cbrt.f64 (fma.f64 x 2 3))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 x (.f64 x -4) 9)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (.f64 -2 x)))) (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(.f64 (sqrt.f64 (fma.f64 x 2 3)) (.f64 (sqrt.f64 (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(.f64 (neg.f64 (fma.f64 x 2 3)) (/.f64 1 (neg.f64 (fma.f64 (.f64 x x) -4 9))))
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) -4 9)) (fma.f64 x 2 3))
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 (.f64 x x) -4 9)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (.f64 (/.f64 1 (fma.f64 (*.f64 x x) -4 9)) (cbrt.f64 (fma.f64 x 2 3))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 x (.f64 x -4) 9)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) 1) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (fma.f64 (.f64 x x) -4 9)))
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (/.f64 (fma.f64 x 2 3) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 x -2)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -4 9)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2)) (cbrt.f64 (fma.f64 x -2 3)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (cbrt.f64 (fma.f64 x -2 3))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 9)) 2))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 3)) (cbrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (/.f64 (fma.f64 x 2 3) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (.f64 (/.f64 1 (fma.f64 (*.f64 x x) -4 9)) (cbrt.f64 (fma.f64 x 2 3))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (/.f64 (cbrt.f64 (fma.f64 x 2 3)) (fma.f64 x (.f64 x -4) 9)))
(.f64 (/.f64 (fma.f64 x 2 3) (-.f64 729 (.f64 (pow.f64 (.f64 x x) 3) 64))) (+.f64 81 (fma.f64 36 (.f64 x x) (*.f64 (pow.f64 x 4) 16))))
(.f64 (/.f64 (fma.f64 x 2 3) (+.f64 729 (.f64 (pow.f64 x 6) -64))) (+.f64 81 (fma.f64 36 (.f64 x x) (.f64 (pow.f64 x 4) 16))))
(/.f64 (.f64 (fma.f64 x 2 3) (fma.f64 (.f64 x x) 36 (fma.f64 (pow.f64 x 4) 16 81))) (fma.f64 (pow.f64 x 6) -64 729))
(.f64 (/.f64 (fma.f64 x 2 3) (-.f64 81 (.f64 (pow.f64 x 4) 16))) (fma.f64 x (*.f64 x 4) 9))
(/.f64 (.f64 (fma.f64 x 2 3) (fma.f64 x (.f64 x 4) 9)) (-.f64 81 (*.f64 (pow.f64 x 4) 16)))
(/.f64 (fma.f64 x 2 3) (/.f64 (+.f64 81 (.f64 (pow.f64 x 4) -16)) (fma.f64 x (.f64 x 4) 9)))
(/.f64 (fma.f64 x 2 3) (/.f64 (fma.f64 (pow.f64 x 4) -16 81) (fma.f64 x (*.f64 x 4) 9)))
(pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 1)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3) 1/3)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3 (*.f64 -2 x)))) 3)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (*.f64 -2 x)))) 2)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(pow.f64 (+.f64 3 (*.f64 -2 x)) -1)
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(neg.f64 (/.f64 (fma.f64 x 2 3) (neg.f64 (fma.f64 (*.f64 x x) -4 9))))
(.f64 (fma.f64 x 2 3) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 2))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(log.f64 (exp.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) 3))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 3) 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 3) 3) (pow.f64 (fma.f64 x (*.f64 x -4) 9) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (neg.f64 (log.f64 (+.f64 3 (*.f64 -2 x)))))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 3 (.f64 -2 x)))) 1))
(/.f64 1 (+.f64 3 (*.f64 x -2)))
(/.f64 1 (fma.f64 x -2 3))
(+.f64 0 (.f64 x (.f64 x 4)))
(.f64 x (.f64 x 4))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))
(.f64 x (.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 4)))) 1)
(.f64 x (.f64 x 4))
(pow.f64 (+.f64 x x) 2)
(.f64 x (.f64 x 4))
(pow.f64 (.f64 x (.f64 x 4)) 1)
(.f64 x (.f64 x 4))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)
(.f64 x (.f64 x 4))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 64))
(cbrt.f64 (*.f64 (pow.f64 x 6) 64))
(sqrt.f64 (*.f64 (pow.f64 x 4) 16))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 4))
(.f64 x (.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4)))))
(.f64 x (.f64 x 4))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 64))
(cbrt.f64 (*.f64 (pow.f64 x 6) 64))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 4))))
(.f64 x (.f64 x 4))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 4))))
(.f64 x (.f64 x 4))
(exp.f64 (*.f64 2 (log.f64 (+.f64 x x))))
(.f64 x (.f64 x 4))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 x x))) 1))
(.f64 x (.f64 x 4))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
419×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
400×	`add-log-exp_binary64`
400×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1127×	`log-prod_binary64`
440×	`associate-l_binary64`
387×	`associate-r_binary64`
335×	`associate-+l+_binary64`
304×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	182
1	107	182
2	389	182
3	3098	182
4	6859	182

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
509×	`add-log-exp_binary64`
509×	`log1p-expm1-u_binary64`
509×	`expm1-log1p-u_binary64`
499×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	7
2	1415	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1145×	`log-prod_binary64`
463×	`exp-sum_binary64`
376×	`associate-l_binary64`
342×	`associate-r_binary64`
295×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	161
1	81	161
2	315	161
3	2213	161
4	6465	161

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 x x) 4)
✓	0.3b	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
✓	2.9b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 57 to 33 computations (42.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
0.0ms	x	@	0	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	0	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
0.0ms	x	@	-inf	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
0.0ms	x	@	inf	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
443×	`prod-diff_binary64`
257×	`fma-def_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	294	29
2	3991	27

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) -4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 9) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3))) (*.f64 x x)) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 81 (*.f64 16 (pow.f64 x 4))) (*.f64 x x)) (fma.f64 x (*.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3)))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 81 (*.f64 16 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 (*.f64 x x) -4 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) -4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -4)))))))

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-def_binary64`
493×	`associate-/r*_binary64`
428×	`unswap-sqr_binary64`
383×	`associate-/r/_binary64`
379×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	2099
1	634	1905
2	2604	1849
3	7772	1845

Stop Event

1×	node limit

Counts

104 → 141

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 0 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x)))) (cbrt.f64 (exp.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)))) 1)
(-.f64 (/.f64 9 (/.f64 (fma.f64 x 2 3) (.f64 x x))) (/.f64 (.f64 x (.f64 x 4)) (/.f64 (fma.f64 x 2 3) (.f64 x x))))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) -4 9) (/.f64 1 (fma.f64 x 2 3))))
(.f64 (fma.f64 (.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x))))
(.f64 (fma.f64 (.f64 x x) -4 9) (.f64 (.f64 x x) (/.f64 1 (fma.f64 x 2 3))))
(.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9))) (/.f64 1 (fma.f64 x 2 3)))
(.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x)) 1)
(.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 2) (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9)))) (/.f64 1 (fma.f64 x 2 3))))
(.f64 (cbrt.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x))) 2) (cbrt.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))))
(.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (/.f64 1 (fma.f64 x 2 3))))
(.f64 (sqrt.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x))) (sqrt.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))))
(.f64 (.f64 (fma.f64 (.f64 x x) -4 9) (.f64 x (neg.f64 x))) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 1 (fma.f64 x 2 3)) (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9))))
(.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))
(.f64 (.f64 x (fma.f64 (.f64 x x) -4 9)) (.f64 x (/.f64 1 (fma.f64 x 2 3))))
(.f64 (/.f64 (.f64 x x) 1) (+.f64 3 (*.f64 -2 x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) -4 9) 1) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 2) (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9)))) (fma.f64 x 2 3)))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) 1) (/.f64 (.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3)))
(.f64 (/.f64 (.f64 x (fma.f64 (*.f64 x x) -4 9)) 1) (/.f64 x (fma.f64 x 2 3)))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (fma.f64 (*.f64 x x) -4 9) (cbrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 (fma.f64 (.f64 x x) -4 9) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9))) (cbrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 2) (pow.f64 x 4))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 (.f64 x (fma.f64 (*.f64 x x) -4 9)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (fma.f64 (*.f64 x x) -4 9) (sqrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 (fma.f64 (.f64 x x) -4 9) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9))) (sqrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 2) (pow.f64 x 4))) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9)))) (sqrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 (.f64 x (fma.f64 (*.f64 x x) -4 9)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9))) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9))) (fma.f64 (.f64 x x) -4 9)) (+.f64 3 (.f64 -2 x)))
(pow.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) 3)
(pow.f64 (sqrt.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) 2)
(pow.f64 (/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) -1)
(pow.f64 (/.f64 (/.f64 1 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))) 1) -1)
(neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9))) (neg.f64 (fma.f64 x 2 3))))
(sqrt.f64 (pow.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9))) 3) (pow.f64 (fma.f64 x 2 3) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))))
(exp.f64 (log.f64 (.f64 (+.f64 3 (.f64 -2 x)) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 3 (.f64 -2 x)) (.f64 x x))) 1))
(+.f64 0 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9))))
(+.f64 (.f64 9 (.f64 x x)) (.f64 (.f64 (.f64 x x) -4) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) 9) (.f64 (.f64 x x) (.f64 (.f64 x x) -4)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9))))) 1)
(/.f64 (.f64 (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3))) (.f64 x x)) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x)))))
(/.f64 (.f64 (-.f64 81 (.f64 16 (pow.f64 x 4))) (.f64 x x)) (fma.f64 x (.f64 x 4) 9))
(/.f64 (.f64 (.f64 x x) (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3)))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (-.f64 81 (.f64 16 (pow.f64 x 4)))) (fma.f64 x (.f64 x 4) 9))
(pow.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9)))) 3)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) -4 9))) 2)
(sqrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)) (.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9)))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 (*.f64 x x) -4 9))))
(exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 (.f64 x x) -4 9))) 1))
(fma.f64 9 (.f64 x x) (.f64 (.f64 (.f64 x x) -4) (*.f64 x x)))
(fma.f64 (.f64 x x) 9 (.f64 (.f64 x x) (.f64 (*.f64 x x) -4)))

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

localize54.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 8 (pow.f64 x 3))
✓	0.0b	(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))
✓	0.2b	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
✓	5.3b	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))

Compiler

Compiled 88 to 58 computations (34.1% saved)

series22.0ms (0.4%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
0.0ms	x	@	inf	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
0.0ms	x	@	-inf	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))

rewrite111.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`fma-def_binary64`
318×	`expm1-udef_binary64`
318×	`log1p-udef_binary64`
274×	`fma-neg_binary64`
247×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	414	64
2	5499	54

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))
(*.f64 8 (pow.f64 x 3))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) (neg.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 27 (.f64 x x)) (.f64 (.f64 (pow.f64 x 3) -8) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 27) (.f64 (.f64 x x) (.f64 (pow.f64 x 3) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 19683 (.f64 (pow.f64 (pow.f64 x 3) 3) 512)) (.f64 x x)) (+.f64 729 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 729 (.f64 64 (pow.f64 x 6))) (.f64 x x)) (fma.f64 8 (pow.f64 x 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 19683 (.f64 (pow.f64 (pow.f64 x 3) 3) 512))) (+.f64 729 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 729 (.f64 64 (pow.f64 x 6)))) (fma.f64 8 (pow.f64 x 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (pow.f64 x 3) -8 27) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 x x)) (fma.f64 (pow.f64 x 3) -8 27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -8 27) 3) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (pow.f64 x 3) -8 27) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27 (.f64 x x) (.f64 (.f64 (pow.f64 x 3) -8) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 27 (.f64 (.f64 x x) (.f64 (pow.f64 x 3) -8)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x 4 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 16 (pow.f64 x 4)) (.f64 x (fma.f64 x 4 -6))) (/.f64 (.f64 (.f64 x x) 36) (.f64 x (fma.f64 x 4 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x 4 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 6 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 x 4 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 x 4 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) 2) (cbrt.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 x 4 6))) (sqrt.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (.f64 x (fma.f64 x 4 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))) (neg.f64 (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (.f64 16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36))) (neg.f64 (.f64 x (fma.f64 x 4 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 16 (pow.f64 x 4))) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 4 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 4 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 4 6)) 3) 1/3)))) (#(struct:change 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(.f64 x (.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 4 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 4 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 4) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 4 (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (.f64 x x) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x 4)) 1 (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 6) 1 (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x 4)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 6) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 6)) (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (.f64 x 6)) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) 4) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 16 (pow.f64 x 4))) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 4))) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 6) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x 4)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (.f64 x 6)) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 2) (.f64 x 2) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 4)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 4) x (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 6 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)) (.f64 x 6))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 8 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 8) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 8 (pow.f64 x 3))) 1))))))

simplify122.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

810×	`unswap-sqr_binary64`
718×	`fma-def_binary64`
388×	`log-prod_binary64`
240×	`associate-l_binary64`
232×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	3239
1	1028	3200
2	4008	3183

Stop Event

1×	node limit

Counts

183 → 220

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 27 (pow.f64 x 2))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)))) 1)
(-.f64 (/.f64 27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x x))) (/.f64 (.f64 8 (pow.f64 x 3)) (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (*.f64 x x))))
(.f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x x))))
(.f64 (fma.f64 (pow.f64 x 3) -8 27) (.f64 (*.f64 x x) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (.f64 x x) (*.f64 (fma.f64 (pow.f64 x 3) -8 27) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (.f64 x (*.f64 x (fma.f64 (pow.f64 x 3) -8 27))) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)))
(.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x x)) 1)
(.f64 1 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))) 2) (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 2) (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (.f64 (fma.f64 (pow.f64 x 3) -8 27) (neg.f64 (*.f64 x x))) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x (*.f64 x (fma.f64 (pow.f64 x 3) -8 27))))
(.f64 (.f64 x (fma.f64 (pow.f64 x 3) -8 27)) (*.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) 1) (/.f64 (.f64 x x) (fma.f64 x (fma.f64 x 4 6) 9)))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (*.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) (fma.f64 x (fma.f64 x 4 6) 9)))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) 1) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (fma.f64 x (fma.f64 x 4 6) 9)))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -8 27)) 1) (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (.f64 x (*.f64 x (fma.f64 (pow.f64 x 3) -8 27))) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -8 27)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (.f64 x (*.f64 x (fma.f64 (pow.f64 x 3) -8 27))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (cbrt.f64 (.f64 x (*.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -8 27)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) (+.f64 729 (pow.f64 (.f64 x (fma.f64 x 4 6)) 3))) (fma.f64 (*.f64 x (fma.f64 x 4 6)) (fma.f64 x (fma.f64 x 4 6) -9) 81))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) (-.f64 81 (pow.f64 (.f64 x (fma.f64 x 4 6)) 2))) (-.f64 9 (*.f64 x (fma.f64 x 4 6))))
(pow.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))) 3)
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) 2)
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) -1)
(neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) (neg.f64 (fma.f64 x (fma.f64 x 4 6) 9))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) 3) (pow.f64 (fma.f64 x (fma.f64 x 4 6) 9) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))))
(exp.f64 (log.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -8 27) (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x x))) 1))
(+.f64 (.f64 27 (.f64 x x)) (.f64 (.f64 (pow.f64 x 3) -8) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) 27) (.f64 (.f64 x x) (*.f64 (pow.f64 x 3) -8)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))))) 1)
(/.f64 (.f64 (-.f64 19683 (.f64 (pow.f64 (pow.f64 x 3) 3) 512)) (.f64 x x)) (+.f64 729 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))))
(/.f64 (.f64 (-.f64 729 (.f64 64 (pow.f64 x 6))) (*.f64 x x)) (fma.f64 8 (pow.f64 x 3) 27))
(/.f64 (.f64 (.f64 x x) (-.f64 19683 (.f64 (pow.f64 (pow.f64 x 3) 3) 512))) (+.f64 729 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))))
(/.f64 (.f64 (.f64 x x) (-.f64 729 (*.f64 64 (pow.f64 x 6)))) (fma.f64 8 (pow.f64 x 3) 27))
(pow.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 27))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (pow.f64 x 3) -8 27) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 (pow.f64 x 3) -8 27)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -8 27) 3) (pow.f64 x 6)))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (pow.f64 x 3) -8 27) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 1))
(fma.f64 27 (.f64 x x) (.f64 (.f64 (pow.f64 x 3) -8) (.f64 x x)))
(fma.f64 (.f64 x x) 27 (.f64 (.f64 x x) (.f64 (pow.f64 x 3) -8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 4 6)))) 1)
(-.f64 (/.f64 (.f64 16 (pow.f64 x 4)) (.f64 x (fma.f64 x 4 -6))) (/.f64 (.f64 (.f64 x x) 36) (*.f64 x (fma.f64 x 4 -6))))
(*.f64 x (fma.f64 x 4 6))
(.f64 x (+.f64 6 (.f64 x 4)))
(.f64 (.f64 x (fma.f64 x 4 6)) 1)
(.f64 1 (.f64 x (fma.f64 x 4 6)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4 6))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 4 6))))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x 4 6))) (sqrt.f64 (*.f64 x (fma.f64 x 4 6))))
(.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (/.f64 1 (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (*.f64 16 (pow.f64 x 4)))))
(.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (/.f64 1 (*.f64 x (fma.f64 x 4 -6))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (.f64 16 (pow.f64 x 4))) (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))))
(/.f64 1 (/.f64 (.f64 x (fma.f64 x 4 -6)) (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (.f64 16 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (.f64 x x) 36 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) (.f64 4 (*.f64 x 6))))))
(/.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (.f64 x (fma.f64 x 4 -6)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))) (neg.f64 (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (.f64 16 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36))) (neg.f64 (.f64 x (fma.f64 x 4 -6))))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 16 (pow.f64 x 4))) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))))
(pow.f64 (*.f64 x (fma.f64 x 4 6)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4 6))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 4 6))) 2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 2))
(log.f64 (exp.f64 (*.f64 x (fma.f64 x 4 6))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4 6)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 4)))) (pow.f64 (exp.f64 6) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 4) (.f64 x x)) (+.f64 1 (expm1.f64 (*.f64 x 6)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 x 6)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 6))) (pow.f64 (exp.f64 4) (*.f64 x x))))
(log.f64 (.f64 (pow.f64 (exp.f64 6) x) (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 6))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 4 6))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 4 6))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 4 6))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 4 6))) 1))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(fma.f64 x (.f64 x 4) (.f64 x 6))
(fma.f64 (.f64 x x) 4 (.f64 x 6))
(fma.f64 4 (.f64 x x) (.f64 x 6))
(fma.f64 (.f64 x (.f64 x 4)) 1 (*.f64 x 6))
(fma.f64 6 x (.f64 x (.f64 x 4)))
(fma.f64 (.f64 x 6) 1 (.f64 x (*.f64 x 4)))
(fma.f64 1 (.f64 x (.f64 x 4)) (*.f64 x 6))
(fma.f64 1 (.f64 x 6) (.f64 x (*.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 x 6)) (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (.f64 x (.f64 x 4)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (.f64 x 6)) (.f64 x (.f64 x 4)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) 4) (*.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 16 (pow.f64 x 4))) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 4))) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 6) (.f64 x (.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x 4)) (.f64 x 6))
(fma.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (.f64 x 6)) (.f64 x (.f64 x 4)))
(fma.f64 (.f64 x 2) (.f64 x 2) (*.f64 x 6))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6) (.f64 x (*.f64 x 4)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 4)) (*.f64 x 6))
(fma.f64 (.f64 x 4) x (.f64 x 6))
(fma.f64 (.f64 6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x (.f64 x 4)))
(fma.f64 (.f64 6 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x 4)))
(fma.f64 (.f64 4 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)) (*.f64 x 6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 8 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x 2) 3)
(pow.f64 (*.f64 (sqrt.f64 8) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 512) 1/3)
(sqrt.f64 (*.f64 64 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 512))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 8 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 8 (pow.f64 x 3))) 1))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(*.f64 27 (pow.f64 x 2))
(.f64 x (.f64 x 27))
(.f64 27 (.f64 x x))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
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(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -8 27) 3) (pow.f64 x 6)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (pow.f64 x 3) -8 27) 3)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 3) -8 27)))))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (fma.f64 (pow.f64 x 3) -8 27)))) 1))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(fma.f64 27 (.f64 x x) (.f64 (.f64 (pow.f64 x 3) -8) (.f64 x x)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(fma.f64 (.f64 x x) 27 (.f64 (.f64 x x) (.f64 (pow.f64 x 3) -8)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(.f64 x (fma.f64 x 27 (.f64 -8 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 4 6)))) 1)
(*.f64 x (fma.f64 x 4 6))
(-.f64 (/.f64 (.f64 16 (pow.f64 x 4)) (.f64 x (fma.f64 x 4 -6))) (/.f64 (.f64 (.f64 x x) 36) (*.f64 x (fma.f64 x 4 -6))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x 4 -6)))
(/.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 x 4 -6)))
(/.f64 (/.f64 (fma.f64 (.f64 x x) -36 (.f64 (pow.f64 x 4) 16)) x) (fma.f64 x 4 -6))
(*.f64 x (fma.f64 x 4 6))
(.f64 x (+.f64 6 (.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(.f64 (.f64 x (fma.f64 x 4 6)) 1)
(*.f64 x (fma.f64 x 4 6))
(.f64 1 (.f64 x (fma.f64 x 4 6)))
(*.f64 x (fma.f64 x 4 6))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4 6))) 2))
(*.f64 x (fma.f64 x 4 6))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 4 6))))
(*.f64 x (fma.f64 x 4 6))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x 4 6))) (sqrt.f64 (*.f64 x (fma.f64 x 4 6))))
(*.f64 x (fma.f64 x 4 6))
(.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (/.f64 1 (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (*.f64 16 (pow.f64 x 4)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) 1) (fma.f64 (.f64 x 6) (.f64 x (-.f64 6 (.f64 x 4))) (.f64 (pow.f64 x 4) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (.f64 x 6) (.f64 x (+.f64 6 (.f64 -4 x))) (*.f64 (pow.f64 x 4) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 (.f64 x 6) x) (+.f64 6 (*.f64 -4 x)))))
(.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (/.f64 1 (*.f64 x (fma.f64 x 4 -6))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x 4 -6)))
(/.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 x 4 -6)))
(/.f64 (/.f64 (fma.f64 (.f64 x x) -36 (.f64 (pow.f64 x 4) 16)) x) (fma.f64 x 4 -6))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (.f64 16 (pow.f64 x 4))) (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) 1) (fma.f64 (.f64 x 6) (.f64 x (-.f64 6 (.f64 x 4))) (.f64 (pow.f64 x 4) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (.f64 x 6) (.f64 x (+.f64 6 (.f64 -4 x))) (*.f64 (pow.f64 x 4) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 (.f64 x 6) x) (+.f64 6 (*.f64 -4 x)))))
(/.f64 1 (/.f64 (.f64 x (fma.f64 x 4 -6)) (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x 4 -6)))
(/.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 x 4 -6)))
(/.f64 (/.f64 (fma.f64 (.f64 x x) -36 (.f64 (pow.f64 x 4) 16)) x) (fma.f64 x 4 -6))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (.f64 16 (pow.f64 x 4))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) 1) (fma.f64 (.f64 x 6) (.f64 x (-.f64 6 (.f64 x 4))) (.f64 (pow.f64 x 4) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (.f64 x 6) (.f64 x (+.f64 6 (.f64 -4 x))) (*.f64 (pow.f64 x 4) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 (.f64 x 6) x) (+.f64 6 (*.f64 -4 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (.f64 x x) 36 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) (.f64 4 (*.f64 x 6))))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (.f64 x x) 36 (-.f64 (.f64 (pow.f64 x 4) 16) (.f64 x (.f64 x (.f64 4 (*.f64 x 6)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 x (.f64 x 36) (-.f64 (.f64 (pow.f64 x 4) 16) (.f64 x (.f64 x (.f64 x 24))))))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (-.f64 (fma.f64 x (.f64 x 36) (.f64 (pow.f64 x 4) 16)) (.f64 x (.f64 x (.f64 x 24)))))
(/.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (.f64 x (fma.f64 x 4 -6)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x 4 -6)))
(/.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 x 4 -6)))
(/.f64 (/.f64 (fma.f64 (.f64 x x) -36 (.f64 (pow.f64 x 4) 16)) x) (fma.f64 x 4 -6))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))) (neg.f64 (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (.f64 16 (pow.f64 x 4)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) 1) (fma.f64 (.f64 x 6) (.f64 x (-.f64 6 (.f64 x 4))) (.f64 (pow.f64 x 4) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (.f64 x 6) (.f64 x (+.f64 6 (.f64 -4 x))) (*.f64 (pow.f64 x 4) 16)))
(/.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 (.f64 x 6) x) (+.f64 6 (*.f64 -4 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36))) (neg.f64 (.f64 x (fma.f64 x 4 -6))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (.f64 x (.f64 x 36))) (.f64 x (fma.f64 x 4 -6)))
(/.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 x x) -36)) (*.f64 x (fma.f64 x 4 -6)))
(/.f64 (/.f64 (fma.f64 (.f64 x x) -36 (.f64 (pow.f64 x 4) 16)) x) (fma.f64 x 4 -6))
(/.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 16 (pow.f64 x 4))) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))))
(/.f64 (+.f64 (.f64 x (.f64 x 36)) (.f64 -16 (pow.f64 x 4))) (.f64 x (-.f64 6 (*.f64 x 4))))
(/.f64 (fma.f64 x (.f64 x 36) (.f64 (pow.f64 x 4) -16)) (.f64 x (+.f64 6 (.f64 -4 x))))
(/.f64 (fma.f64 (pow.f64 x 4) -16 (.f64 x (.f64 x 36))) (.f64 x (+.f64 6 (.f64 -4 x))))
(pow.f64 (*.f64 x (fma.f64 x 4 6)) 1)
(*.f64 x (fma.f64 x 4 6))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4 6))) 3)
(*.f64 x (fma.f64 x 4 6))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 4 6))) 2)
(*.f64 x (fma.f64 x 4 6))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 3) 1/3)
(*.f64 x (fma.f64 x 4 6))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 2))
(*.f64 x (fma.f64 x 4 6))
(log.f64 (exp.f64 (*.f64 x (fma.f64 x 4 6))))
(*.f64 x (fma.f64 x 4 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4 6)))))
(*.f64 x (fma.f64 x 4 6))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 4)))) (pow.f64 (exp.f64 6) x)))
(*.f64 x (fma.f64 x 4 6))
(log.f64 (.f64 (pow.f64 (exp.f64 4) (.f64 x x)) (+.f64 1 (expm1.f64 (*.f64 x 6)))))
(*.f64 x (fma.f64 x 4 6))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 x 6)))))
(*.f64 x (fma.f64 x 4 6))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 6))) (pow.f64 (exp.f64 4) (*.f64 x x))))
(*.f64 x (fma.f64 x 4 6))
(log.f64 (.f64 (pow.f64 (exp.f64 6) x) (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 4))))))
(*.f64 x (fma.f64 x 4 6))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 6))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4))))))
(*.f64 x (fma.f64 x 4 6))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 3))
(*.f64 x (fma.f64 x 4 6))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 4 6))))
(*.f64 x (fma.f64 x 4 6))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 4 6))))
(*.f64 x (fma.f64 x 4 6))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 4 6))))
(*.f64 x (fma.f64 x 4 6))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 4 6))) 1))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 x (.f64 x 4) (.f64 x 6))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (.f64 x x) 4 (.f64 x 6))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 4 (.f64 x x) (.f64 x 6))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (.f64 x (.f64 x 4)) 1 (*.f64 x 6))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 6 x (.f64 x (.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (.f64 x 6) 1 (.f64 x (*.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 1 (.f64 x (.f64 x 4)) (*.f64 x 6))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 1 (.f64 x 6) (.f64 x (*.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (cbrt.f64 (.f64 x 6)) (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (.f64 x (.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (.f64 x 6)) (.f64 x (.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) 4) (*.f64 x 6))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 4 (cbrt.f64 (.f64 x x))) (*.f64 x 6))
(fma.f64 x 6 (.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 4 (cbrt.f64 (*.f64 x x)))))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 16 (pow.f64 x 4))) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 4))) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 6) (.f64 x (.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 6 (cbrt.f64 x)) (.f64 x (.f64 x 4)))
(fma.f64 (.f64 6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 4 (.f64 x x)))
(fma.f64 x (.f64 x 4) (.f64 (cbrt.f64 (.f64 x x)) (.f64 6 (cbrt.f64 x))))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x 4)) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x 4) (cbrt.f64 x)) (.f64 x 6))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (.f64 4 (cbrt.f64 x))) (.f64 x 6))
(fma.f64 x 6 (.f64 (cbrt.f64 (.f64 x x)) (.f64 x (.f64 4 (cbrt.f64 x)))))
(fma.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (.f64 x 6)) (.f64 x (.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (.f64 x 2) (.f64 x 2) (*.f64 x 6))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6) (.f64 x (*.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 4)) (*.f64 x 6))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (.f64 x 4) x (.f64 x 6))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (.f64 6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x (.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 6 (cbrt.f64 x)) (.f64 x (.f64 x 4)))
(fma.f64 (.f64 6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 4 (.f64 x x)))
(fma.f64 x (.f64 x 4) (.f64 (cbrt.f64 (.f64 x x)) (.f64 6 (cbrt.f64 x))))
(fma.f64 (.f64 6 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x 4)))
(*.f64 x (fma.f64 x 4 6))
(fma.f64 (.f64 4 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)) (*.f64 x 6))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 4 (cbrt.f64 (.f64 x x))) (*.f64 x 6))
(fma.f64 x 6 (.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 4 (cbrt.f64 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 x 3)))) 1)
(*.f64 (pow.f64 x 3) 8)
(pow.f64 (*.f64 8 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) 8)
(pow.f64 (*.f64 x 2) 3)
(*.f64 (pow.f64 x 3) 8)
(pow.f64 (*.f64 (sqrt.f64 8) (pow.f64 x 3/2)) 2)
(*.f64 (pow.f64 x 3) 8)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 512) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 512))
(sqrt.f64 (*.f64 64 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 8))
(*.f64 (pow.f64 x 3) 8)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) 8)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 512))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 8)
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 8)
(exp.f64 (log.f64 (*.f64 8 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 8)
(exp.f64 (.f64 (log.f64 (.f64 8 (pow.f64 x 3))) 1))
(*.f64 (pow.f64 x 3) 8)

eval362.0ms (7.1%)

Compiler: Compiled 13312 to 9348 computations (29.8% saved)

prune289.0ms (5.7%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	621	7	628
Fresh	4	1	5
Picked	1	0	1
Done	2	4	6
Total	628	12	640

Error

Counts

640 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.0b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
	0.3b	(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))
▶	0.2b	(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
	16.8b	(.f64 (.f64 3 x) x)
▶	22.5b	(*.f64 x (/.f64 x (/.f64 -1/2 x)))
▶	16.9b	(*.f64 x (/.f64 x 1/3))
✓	0.1b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
✓	22.5b	(.f64 x (.f64 x (*.f64 x -2)))
✓	16.9b	(.f64 3 (.f64 x x))
	22.4b	(*.f64 -2 (pow.f64 x 3))
▶	28.0b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 172 to 125 computations (27.3% saved)

localize36.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 3 (*.f64 -2 x)))
✓	0.1b	(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
✓	0.3b	(/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x)

Compiler

Compiled 40 to 31 computations (22.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x)
0.0ms	x	@	inf	(/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x)
0.0ms	x	@	-inf	(/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x)
0.0ms	x	@	0	(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 3 (*.f64 -2 x)))

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
412×	`exp-prod_binary64`
292×	`pow-prod-down_binary64`
274×	`pow2_binary64`
191×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	224	30
2	3026	30

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x)
(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
(/.f64 1 (+.f64 3 (*.f64 -2 x)))

Outputs

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

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

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

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

912×	`fma-def_binary64`
752×	`unswap-sqr_binary64`
232×	`sqr-pow_binary64`
220×	`log-prod_binary64`
156×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	2790
1	1016	2510
2	3520	2497

Stop Event

1×	node limit

Counts

181 → 272

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 x 1/3))
✓	0.3b	(/.f64 x 1/3)

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	@	0	(/.f64 x 1/3)
0.0ms	x	@	-inf	(/.f64 x 1/3)
0.0ms	x	@	inf	(/.f64 x 1/3)
0.0ms	x	@	0	(*.f64 x (/.f64 x 1/3))
0.0ms	x	@	-inf	(*.f64 x (/.f64 x 1/3))

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
493×	`add-sqr-sqrt_binary64`
472×	`add-log-exp_binary64`
472×	`log1p-expm1-u_binary64`
472×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	109	11
2	1297	11

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

565×	`log-prod_binary64`
440×	`unswap-sqr_binary64`
422×	`associate-/r/_binary64`
388×	`associate-/l/_binary64`
218×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	345
1	208	345
2	749	345
3	3544	345

Stop Event

1×	node limit

Counts

64 → 42

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 x (/.f64 -1/2 x)))
✓	0.2b	(/.f64 x (/.f64 -1/2 x))

Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 x (/.f64 -1/2 x))
0.0ms	x	@	0	(/.f64 x (/.f64 -1/2 x))
0.0ms	x	@	-inf	(/.f64 x (/.f64 -1/2 x))
0.0ms	x	@	0	(*.f64 x (/.f64 x (/.f64 -1/2 x)))
0.0ms	x	@	inf	(*.f64 x (/.f64 x (/.f64 -1/2 x)))

rewrite76.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`pow1_binary64`
642×	`add-log-exp_binary64`
641×	`log1p-expm1-u_binary64`
641×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	134	17
2	1797	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(/.f64 x (/.f64 -1/2 x))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))

Outputs

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

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

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

937×	`log-div_binary64`
634×	`associate-/l*_binary64`
578×	`fma-neg_binary64`
524×	`times-frac_binary64`
481×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	623
1	366	623
2	1356	623
3	6956	623

Stop Event

1×	node limit

Counts

86 → 68

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 9))
✓	0.2b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	inf	(.f64 x (.f64 x 9))
0.0ms	x	@	inf	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	0	(.f64 x (.f64 x 9))
0.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))

rewrite71.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
423×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
269×	`pow2_binary64`
189×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	219	21
2	2888	21

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x 9))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 1/9 (/.f64 (fma.f64 x 2 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 9) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 9)) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 9 (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 (*.f64 x 3) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -9) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 9) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) 1) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 9 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) 1) (/.f64 (*.f64 x 3) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x 9) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) -2) (/.f64 (*.f64 x (*.f64 x 9)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 9 (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x 3) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x 9) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 3) -1/2) (/.f64 (*.f64 x (*.f64 x 9)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 9 (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 2 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 9)) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9)) 2)) (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 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 9)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 9))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 9)))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 3) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 9))) 1) 1))))))

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

548×	`times-frac_binary64`
536×	`associate-*l/_binary64`
496×	`fma-def_binary64`
435×	`associate-*r/_binary64`
391×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	1709
1	699	1664
2	2287	1655

Stop Event

1×	node limit

Counts

111 → 148

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 9 (pow.f64 x 4))
✓	13.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 9 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 9 (pow.f64 x 4))
0.0ms	x	@	0	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
0.0ms	x	@	-inf	(*.f64 9 (pow.f64 x 4))

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`pow1_binary64`
538×	`add-log-exp_binary64`
538×	`log1p-expm1-u_binary64`
538×	`expm1-log1p-u_binary64`
525×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	148	14
2	1557	14

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(*.f64 9 (pow.f64 x 4))

Outputs

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

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

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

627×	`log-prod_binary64`
539×	`fma-def_binary64`
500×	`distribute-rgt-in_binary64`
475×	`distribute-lft-in_binary64`
402×	`exp-sum_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	442
1	188	406
2	622	370
3	2323	370
4	6160	370

Stop Event

1×	node limit

Counts

48 → 40

Calls

Call 1

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

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

eval186.0ms (3.7%)

Compiler: Compiled 7914 to 5741 computations (27.5% saved)

prune103.0ms (2%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	560	10	570
Fresh	1	2	3
Picked	0	1	1
Done	2	6	8
Total	563	19	582

Error

Counts

582 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.0b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
▶	0.3b	(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))
	22.5b	(/.f64 (*.f64 x x) (/.f64 -1/2 x))
▶	16.9b	(/.f64 (*.f64 x x) 1/3)
	22.5b	(/.f64 x (/.f64 (/.f64 -1/2 x) x))
	16.9b	(/.f64 x (/.f64 1/3 x))
	22.5b	(/.f64 x (/.f64 -1/2 (*.f64 x x)))
▶	17.0b	(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
	17.5b	(/.f64 1 (/.f64 1/3 (*.f64 x x)))
▶	62.6b	(-.f64 (*.f64 9/2 x) 27/4)
	22.4b	(*.f64 (pow.f64 x 3) -2)
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
	16.8b	(.f64 (.f64 3 x) x)
✓	16.9b	(*.f64 x (/.f64 x 1/3))
✓	0.1b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
✓	22.5b	(.f64 x (.f64 x (*.f64 x -2)))
▶	60.9b	(*.f64 x 9/2)
✓	16.9b	(.f64 3 (.f64 x x))
✓	28.0b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 231 to 164 computations (29% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 3 (*.f64 -2 x)))
✓	0.3b	(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))
0.0ms	x	@	-inf	(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))
0.0ms	x	@	inf	(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log-prod_binary64`
366×	`exp-prod_binary64`
292×	`pow-prod-down_binary64`
261×	`pow2_binary64`
180×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	220	11
2	2838	11

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))

Outputs

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

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

502×	`associate-l_binary64`
461×	`associate-r_binary64`
435×	`log-prod_binary64`
307×	`associate-/l*_binary64`
276×	`fabs-mul_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	1047
1	418	1028
2	1184	1028
3	5772	1028

Stop Event

1×	node limit

Counts

76 → 81

Calls

Call 1

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

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

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
✓	0.0b	(-.f64 (*.f64 9/2 x) 27/4)

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (*.f64 9/2 x) 27/4)
0.0ms	x	@	0	(-.f64 (*.f64 9/2 x) 27/4)
0.0ms	x	@	inf	(-.f64 (*.f64 9/2 x) 27/4)

rewrite38.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`pow1_binary64`
612×	`add-log-exp_binary64`
612×	`log1p-expm1-u_binary64`
612×	`expm1-log1p-u_binary64`
603×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	135	5
2	1602	5

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(-.f64 (*.f64 9/2 x) 27/4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/2 x) -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -27/4 (*.f64 9/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/2 x -27/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/2 x -27/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2) (cbrt.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) (sqrt.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64) (/.f64 1 (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (/.f64 1 (fma.f64 9/2 x 27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8))) (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9/2 x 27/4) (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (*.f64 9/2 x) 2) (-.f64 729/16 (*.f64 (*.f64 9/2 x) -27/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (fma.f64 9/2 x 27/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (-.f64 (*.f64 9/2 x) -27/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64)) (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)) (neg.f64 (fma.f64 9/2 x 27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9/2 x -27/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/2 x -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9/2 -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/2 x) -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 9/2 x)) 2) (cbrt.f64 (*.f64 9/2 x)) -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 9/2 x)) (sqrt.f64 (*.f64 9/2 x)) -27/4)))))

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

622×	`times-frac_binary64`
565×	`fma-def_binary64`
415×	`distribute-rgt-in_binary64`
393×	`fma-neg_binary64`
382×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	374
1	176	324
2	589	304
3	3444	289

Stop Event

1×	node limit

Counts

35 → 40

Calls

Call 1

Inputs
-27/4
(*.f64 9/2 x)
(*.f64 9/2 x)
(+.f64 (*.f64 9/2 x) -27/4)
(+.f64 -27/4 (*.f64 9/2 x))
(*.f64 (fma.f64 9/2 x -27/4) 1)
(*.f64 1 (fma.f64 9/2 x -27/4))
(*.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2) (cbrt.f64 (fma.f64 9/2 x -27/4)))
(*.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) (sqrt.f64 (fma.f64 9/2 x -27/4)))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (/.f64 1 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (.f64 x 243/8)))))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) -729/16) (/.f64 1 (fma.f64 9/2 x 27/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (.f64 x 243/8))) (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64)))
(/.f64 1 (/.f64 (fma.f64 9/2 x 27/4) (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)))
(/.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8))))
(/.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (.f64 9/2 x) 2) (-.f64 729/16 (.f64 (.f64 9/2 x) -27/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) -729/16) (-.f64 (.f64 9/2 x) -27/4))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64)) (neg.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)) (neg.f64 (fma.f64 9/2 x 27/4)))
(pow.f64 (fma.f64 9/2 x -27/4) 1)
(pow.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 3)
(pow.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) 2)
(sqrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 2))
(log.f64 (exp.f64 (fma.f64 9/2 x -27/4)))
(cbrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/2 x -27/4)))
(log1p.f64 (expm1.f64 (fma.f64 9/2 x -27/4)))
(exp.f64 (log.f64 (fma.f64 9/2 x -27/4)))
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(fma.f64 1 (*.f64 9/2 x) -27/4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 9/2 x)) 2) (cbrt.f64 (.f64 9/2 x)) -27/4)
(fma.f64 (sqrt.f64 (.f64 9/2 x)) (sqrt.f64 (.f64 9/2 x)) -27/4)

Outputs
-27/4
(*.f64 9/2 x)
(*.f64 9/2 x)
(+.f64 (*.f64 9/2 x) -27/4)
(fma.f64 9/2 x -27/4)
(+.f64 -27/4 (*.f64 9/2 x))
(fma.f64 9/2 x -27/4)
(*.f64 (fma.f64 9/2 x -27/4) 1)
(fma.f64 9/2 x -27/4)
(*.f64 1 (fma.f64 9/2 x -27/4))
(fma.f64 9/2 x -27/4)
(*.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2))
(fma.f64 9/2 x -27/4)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2) (cbrt.f64 (fma.f64 9/2 x -27/4)))
(fma.f64 9/2 x -27/4)
(*.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) (sqrt.f64 (fma.f64 9/2 x -27/4)))
(fma.f64 9/2 x -27/4)
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (/.f64 1 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (.f64 x 243/8)))))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (+.f64 (.f64 (.f64 x x) 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (*.f64 x 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (fma.f64 x 81/4 243/8) 729/16))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) -729/16) (/.f64 1 (fma.f64 9/2 x 27/4)))
(/.f64 (+.f64 (.f64 (.f64 x x) 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x -81/4) 729/16) (fma.f64 x -9/2 -27/4))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (.f64 x 243/8))) (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64)))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (/.f64 1 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (.f64 x 243/8)))))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (+.f64 (.f64 (.f64 x x) 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (*.f64 x 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (fma.f64 x 81/4 243/8) 729/16))
(/.f64 1 (/.f64 (fma.f64 9/2 x 27/4) (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) -729/16) (/.f64 1 (fma.f64 9/2 x 27/4)))
(/.f64 (+.f64 (.f64 (.f64 x x) 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x -81/4) 729/16) (fma.f64 x -9/2 -27/4))
(/.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8))))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (/.f64 1 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (.f64 x 243/8)))))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (+.f64 (.f64 (.f64 x x) 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (*.f64 x 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (fma.f64 x 81/4 243/8) 729/16))
(/.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (.f64 9/2 x) 2) (-.f64 729/16 (.f64 (.f64 9/2 x) -27/4))))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (/.f64 1 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (.f64 x 243/8)))))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (+.f64 (.f64 (.f64 x x) 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (*.f64 x 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (fma.f64 x 81/4 243/8) 729/16))
(/.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (fma.f64 9/2 x 27/4))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) -729/16) (/.f64 1 (fma.f64 9/2 x 27/4)))
(/.f64 (+.f64 (.f64 (.f64 x x) 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x -81/4) 729/16) (fma.f64 x -9/2 -27/4))
(/.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) -729/16) (-.f64 (.f64 9/2 x) -27/4))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) -729/16) (/.f64 1 (fma.f64 9/2 x 27/4)))
(/.f64 (+.f64 (.f64 (.f64 x x) 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x -81/4) 729/16) (fma.f64 x -9/2 -27/4))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64)) (neg.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8)))))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 3) -19683/64) (/.f64 1 (+.f64 (pow.f64 (.f64 9/2 x) 2) (+.f64 729/16 (.f64 x 243/8)))))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (+.f64 (.f64 (.f64 x x) 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (*.f64 x 81/4) (fma.f64 x 243/8 729/16)))
(/.f64 (fma.f64 729/8 (pow.f64 x 3) -19683/64) (fma.f64 x (fma.f64 x 81/4 243/8) 729/16))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)) (neg.f64 (fma.f64 9/2 x 27/4)))
(.f64 (+.f64 (pow.f64 (.f64 9/2 x) 2) -729/16) (/.f64 1 (fma.f64 9/2 x 27/4)))
(/.f64 (+.f64 (.f64 (.f64 x x) 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x 81/4) -729/16) (fma.f64 9/2 x 27/4))
(/.f64 (fma.f64 x (*.f64 x -81/4) 729/16) (fma.f64 x -9/2 -27/4))
(pow.f64 (fma.f64 9/2 x -27/4) 1)
(fma.f64 9/2 x -27/4)
(pow.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3) 1/3)
(fma.f64 9/2 x -27/4)
(pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 3)
(fma.f64 9/2 x -27/4)
(pow.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) 2)
(fma.f64 9/2 x -27/4)
(sqrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 2))
(fma.f64 9/2 x -27/4)
(log.f64 (exp.f64 (fma.f64 9/2 x -27/4)))
(fma.f64 9/2 x -27/4)
(cbrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3))
(fma.f64 9/2 x -27/4)
(expm1.f64 (log1p.f64 (fma.f64 9/2 x -27/4)))
(fma.f64 9/2 x -27/4)
(log1p.f64 (expm1.f64 (fma.f64 9/2 x -27/4)))
(fma.f64 9/2 x -27/4)
(exp.f64 (log.f64 (fma.f64 9/2 x -27/4)))
(fma.f64 9/2 x -27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 1 (*.f64 9/2 x) -27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 9/2 x)) 2) (cbrt.f64 (.f64 9/2 x)) -27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 (sqrt.f64 (.f64 9/2 x)) (sqrt.f64 (.f64 9/2 x)) -27/4)
(fma.f64 9/2 x -27/4)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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) 1/3)
0.0ms	x	@	inf	(/.f64 (*.f64 x x) 1/3)
0.0ms	x	@	-inf	(/.f64 (*.f64 x x) 1/3)

rewrite36.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`pow1_binary64`
488×	`add-sqr-sqrt_binary64`
467×	`add-log-exp_binary64`
467×	`log1p-expm1-u_binary64`
467×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	110	7
2	1318	7

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-neg_binary64`
586×	`fma-def_binary64`
361×	`log-prod_binary64`
316×	`associate-+l+_binary64`
313×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	269
1	159	269
2	525	269
3	2051	269
4	7452	269

Stop Event

1×	node limit

Counts

37 → 29

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2/9 (/.f64 1/3 x))
✓	0.2b	(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
✓	0.4b	(/.f64 1/3 x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1/3 x)
0.0ms	x	@	inf	(/.f64 1/3 x)
0.0ms	x	@	-inf	(/.f64 1/3 x)
0.0ms	x	@	0	(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
0.0ms	x	@	-inf	(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))

rewrite70.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
840×	`add-log-exp_binary64`
840×	`log1p-expm1-u_binary64`
840×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	164	21
2	2197	21

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs
(/.f64 1/3 x)
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
(+.f64 2/9 (/.f64 1/3 x))

Outputs

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

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

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

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

553×	`associate-/r*_binary64`
549×	`fma-def_binary64`
491×	`unswap-sqr_binary64`
469×	`associate-/l*_binary64`
390×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	1283
1	498	1178
2	1770	1092

Stop Event

1×	node limit

Counts

108 → 130

Calls

Call 1

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

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

eval178.0ms (3.5%)

Compiler: Compiled 4718 to 3451 computations (26.9% saved)

prune108.0ms (2.1%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	362	2	364
Fresh	0	7	7
Picked	0	1	1
Done	2	9	11
Total	364	19	383

Error

Counts

383 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.0b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
✓	0.3b	(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))
	22.5b	(/.f64 (*.f64 x x) (/.f64 -1/2 x))
✓	16.9b	(/.f64 (*.f64 x x) 1/3)
	22.5b	(/.f64 x (/.f64 (/.f64 -1/2 x) x))
	16.9b	(/.f64 x (/.f64 1/3 x))
	22.5b	(/.f64 x (/.f64 -1/2 (*.f64 x x)))
✓	17.0b	(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
	17.5b	(/.f64 1 (/.f64 1/3 (*.f64 x x)))
	22.4b	(*.f64 (pow.f64 x 3) -2)
	22.8b	(*.f64 (/.f64 x (-.f64 4/81 (pow.f64 (/.f64 1/3 x) 2))) (-.f64 2/9 (/.f64 1/3 x)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
	16.8b	(.f64 (.f64 3 x) x)
✓	16.9b	(*.f64 x (/.f64 x 1/3))
✓	0.1b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
✓	22.5b	(.f64 x (.f64 x (*.f64 x -2)))
✓	60.9b	(*.f64 x 9/2)
✓	16.9b	(.f64 3 (.f64 x x))
	62.2b	-27/4

Compiler

Compiled 150 to 107 computations (28.7% saved)

regimes64.0ms (1.3%)

Counts

31 → 1

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(.f64 (.f64 3 x) x)
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)
(.f64 x (.f64 x (*.f64 x -2)))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
(/.f64 1 (/.f64 1/3 (*.f64 x x)))
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
(/.f64 x (/.f64 -1/2 (*.f64 x x)))
(/.f64 x (/.f64 (/.f64 -1/2 x) x))
(/.f64 (*.f64 x x) (/.f64 -1/2 x))
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))
(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
(.f64 x (/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (.f64 x x) 4)))))
(/.f64 (.f64 x x) (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (.f64 x x) 4))))
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -2)
(*.f64 (/.f64 x (-.f64 4/81 (pow.f64 (/.f64 1/3 x) 2))) (-.f64 2/9 (/.f64 1/3 x)))
(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
(sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (.f64 x -2)) 2)))

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

Calls

3 calls:

39.0ms	x
9.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
8.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

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

Compiler

Compiled 289 to 190 computations (34.3% saved)

regimes48.0ms (0.9%)

Counts

16 → 3

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(.f64 (.f64 3 x) x)
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)
(.f64 x (.f64 x (*.f64 x -2)))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
(/.f64 1 (/.f64 1/3 (*.f64 x x)))
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
(/.f64 x (/.f64 -1/2 (*.f64 x x)))
(/.f64 x (/.f64 (/.f64 -1/2 x) x))
(/.f64 (*.f64 x x) (/.f64 -1/2 x))

Outputs
(/.f64 x (/.f64 -1/2 (*.f64 x x)))
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
(.f64 x (.f64 x (*.f64 x -2)))

Calls

1 calls:

45.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 91 to 53 computations (41.8% saved)

bsearch46.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.9081984397122428	11.134329929077118
37.0ms	-244.63799084682825	-3.695350220538731e-8

Results

42.0ms

256×

body

256

valid

Compiler

Compiled 302 to 218 computations (27.8% saved)

regimes40.0ms (0.8%)

Counts

13 → 3

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(.f64 (.f64 3 x) x)
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)
(.f64 x (.f64 x (*.f64 x -2)))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
(/.f64 1 (/.f64 1/3 (*.f64 x x)))
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))

Outputs
(.f64 x (.f64 x (*.f64 x -2)))
(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
(.f64 x (.f64 x (*.f64 x -2)))

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 70 to 43 computations (38.6% saved)

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.9081984397122428	11.134329929077118
16.0ms	-244.63799084682825	-3.695350220538731e-8

Results

22.0ms

256×

body

256

valid

Compiler

Compiled 302 to 218 computations (27.8% saved)

regimes26.0ms (0.5%)

Counts

12 → 3

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(.f64 (.f64 3 x) x)
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)
(.f64 x (.f64 x (*.f64 x -2)))
(*.f64 x (/.f64 x (/.f64 -1/2 x)))
(/.f64 1 (/.f64 1/3 (*.f64 x x)))

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
1.9b	3	`x`

Compiler

Compiled 63 to 38 computations (39.7% saved)

bsearch38.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.9081984397122428	11.134329929077118
29.0ms	-244.63799084682825	-3.695350220538731e-8

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 270 to 186 computations (31.1% saved)

regimes9.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 x (/.f64 x 1/3))
(.f64 (.f64 3 x) x)
(-.f64 (*.f64 9/2 x) 27/4)
(/.f64 x (/.f64 1/3 x))
(/.f64 (*.f64 x x) 1/3)

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
16.8b	1	`x`

Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(.f64 3 (.f64 x x))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
16.9b	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.7b remaining (-2.8%)

Threshold costs -1.7b (-2.8%)

Counts

2 → 1

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)

Outputs
(*.f64 x 9/2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
60.9b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`
5×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	155
1	55	155
2	65	155
3	73	155
4	89	155
5	97	155
6	100	155
7	101	155

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 x (/.f64 -1/2 (.f64 x x))) (if (<=.f64 x 3/2) (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) (.f64 x (.f64 x (.f64 x -2)))))
(if (<=.f64 x -2476979795053773/2251799813685248) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3/2) (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) (.f64 x (.f64 x (.f64 x -2)))))
(if (<=.f64 x -3/2) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3/2) (.f64 x (.f64 3 x)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 x 9/2)
-27/4

Outputs
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 x (/.f64 -1/2 (.f64 x x))) (if (<=.f64 x 3/2) (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) (.f64 x (.f64 x (.f64 x -2)))))
(if (<=.f64 x -2476979795053773/2251799813685248) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3/2) (/.f64 x (+.f64 2/9 (/.f64 1/3 x))) (.f64 x (.f64 x (.f64 x -2)))))
(if (<=.f64 x -3/2) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3/2) (.f64 x (.f64 3 x)) (.f64 x (.f64 x (.f64 x -2)))))
(if (<=.f64 x -3/2) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 3/2) (.f64 x (.f64 x 3)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))
(*.f64 x 9/2)
-27/4

Compiler

Compiled 116 to 78 computations (32.8% saved)

soundness251.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Compiler

Compiled 20 to 14 computations (30% saved)

end65.0ms (1.3%)

Compiler: Compiled 109 to 70 computations (35.8% saved)