Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
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)

sample647.0ms (14.8%)

Results

634.0ms	8256×	body	256	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess108.0ms (2.5%)

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)

simplify101.0ms (2.3%)

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)))
▶	0.2b	(.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)))
✓	0.2b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series7.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

Compiler

Compiled 300 to 258 computations (14% saved)

rewrite51.0ms (1.2%)

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)))))))))

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	804
1	298	711
2	1010	672
3	4477	663
4	7877	663

Stop Event

1×	node limit

Counts

60 → 76

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

localize8.0ms (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)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 166 to 145 computations (12.7% saved)

rewrite45.0ms (1%)

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)))))))))

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Rules

852×	`log-prod_binary64`
707×	`associate-l_binary64`
622×	`associate-r_binary64`
233×	`unswap-sqr_binary64`
212×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	495
1	236	453
2	759	428
3	4752	419

Stop Event

1×	node limit

Counts

31 → 43

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

eval83.0ms (1.9%)

Compiler: Compiled 1577 to 1105 computations (29.9% saved)

prune21.0ms (0.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	108	11	119
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	13	121

Error

Counts

121 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 (+.f64 27 (.f64 (pow.f64 x 3) -8)) (/.f64 (+.f64 9 (.f64 x (+.f64 (.f64 x 4) 6))) (.f64 x x)))
	5.7b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
	0.2b	(+.f64 (.f64 (.f64 x x) 3) (.f64 (.f64 x x) (*.f64 x -2)))
	0.3b	(.f64 (fma.f64 x (.f64 x -4) 9) (/.f64 x (/.f64 (fma.f64 x 2 3) x)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	0.2b	(.f64 x (/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) 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)))))
✓	0.2b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
▶	24.9b	(.f64 x (.f64 x (*.f64 x -2)))
	16.0b	(.f64 x (.f64 3 x))
	25.0b	(.f64 x (.f64 -2 (pow.f64 (/.f64 1 x) -2)))
▶	16.1b	(.f64 3 (.f64 x x))
▶	25.0b	(*.f64 2 (pow.f64 (/.f64 -1 x) -3))

Compiler

Compiled 308 to 218 computations (29.2% 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 9 (.f64 (*.f64 x x) 4)) x)
✓	0.2b	(.f64 x (/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) x) (+.f64 3 (*.f64 x 2))))
✓	0.3b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) x) (+.f64 3 (.f64 x 2)))

Compiler

Compiled 70 to 44 computations (37.1% saved)

series12.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

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

Compiler

Compiled 534 to 459 computations (14% saved)

rewrite68.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`log-prod_binary64`
440×	`prod-diff_binary64`
265×	`fma-def_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	314	43
2	4247	41

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

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

simplify105.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

993×	`fma-def_binary64`
633×	`unswap-sqr_binary64`
583×	`associate-/l/_binary64`
247×	`log-prod_binary64`
166×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	2499
1	776	2209
2	2990	2114

Stop Event

1×	node limit

Counts

167 → 201

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

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite46.0ms (1.1%)

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))))))))

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

673×	`log-prod_binary64`
449×	`associate-l_binary64`
400×	`associate-r_binary64`
359×	`fma-neg_binary64`
351×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	182
1	121	182
2	420	182
3	3186	182
4	7592	182

Stop Event

1×	node limit

Counts

26 → 18

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 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 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 (0.2%)

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)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite36.0ms (0.8%)

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)))))))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1143×	`log-prod_binary64`
470×	`exp-sum_binary64`
396×	`associate-l_binary64`
352×	`associate-r_binary64`
299×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	185
1	96	185
2	345	185
3	2321	185
4	6610	185

Stop Event

1×	node limit

Counts

23 → 14

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 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 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))

localize23.0ms (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)))
✓	0.2b	(.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)

series11.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 x (/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (.f64 x x) 4)))))
1.0ms	x	@	-inf	(/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4)))
1.0ms	x	@	inf	(/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4)))
1.0ms	x	@	-inf	(.f64 x (/.f64 x (/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (.f64 x x) 4)))))
1.0ms	x	@	0	(/.f64 (+.f64 3 (.f64 x 2)) (-.f64 9 (.f64 (*.f64 x x) 4)))

Compiler

Compiled 490 to 422 computations (13.9% saved)

rewrite70.0ms (1.6%)

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	66
1	319	33
2	4450	33

Stop Event

1×	node limit

Counts

3 → 116

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)))

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

((#(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))))))

simplify86.0ms (2%)

Algorithm

1×	egg-herbie

Rules

477×	`log-prod_binary64`
435×	`associate-/r/_binary64`
374×	`associate-/l/_binary64`
244×	`log-div_binary64`
233×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	2466
1	916	2026
2	3185	1958
3	6617	1958

Stop Event

1×	node limit

Counts

152 → 215

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 (/.f64 1 x) -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 -2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -3))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
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)
(-.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -27/16 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 3)))) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (.f64 -3/4 (pow.f64 (/.f64 -1 x) 2)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 9/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -3/4 (pow.f64 (/.f64 -1 x) 2))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -27/16 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (.f64 9/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -3/4 (pow.f64 (/.f64 -1 x) 2)))) (.f64 1/2 (/.f64 1 x)))
(+.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))

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 (/.f64 1 x) -2))
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 1 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 (/.f64 1 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 (/.f64 1 x) -2)))
(fma.f64 3 x (.f64 -2 (.f64 x x)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 3 x (*.f64 -2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 -2 (pow.f64 (/.f64 -1 x) -2) (*.f64 3 x))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 3 x (*.f64 -2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 -2 (pow.f64 (/.f64 -1 x) -2) (*.f64 3 x))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 3 x (*.f64 -2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 -2 (pow.f64 (/.f64 -1 x) -2) (*.f64 3 x))
(*.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 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 (/.f64 1 x) -3))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 3 (pow.f64 (/.f64 1 x) -2) (*.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 3 (pow.f64 (/.f64 1 x) -2) (*.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 3 (pow.f64 (/.f64 1 x) -2) (*.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 2 (pow.f64 (/.f64 -1 x) -3) (*.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 3 (pow.f64 (/.f64 -1 x) -2) (*.f64 2 (pow.f64 (/.f64 -1 x) -3)))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 2 (pow.f64 (/.f64 -1 x) -3) (*.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 3 (pow.f64 (/.f64 -1 x) -2) (*.f64 2 (pow.f64 (/.f64 -1 x) -3)))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 2 (pow.f64 (/.f64 -1 x) -3) (*.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 3 (pow.f64 (/.f64 -1 x) -2) (*.f64 2 (pow.f64 (/.f64 -1 x) -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 4/27 (.f64 x x))))
(+.f64 1/3 (.f64 x (+.f64 2/9 (.f64 4/27 x))))
(+.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 4/27 (.f64 x x))) (fma.f64 (pow.f64 x 3) 8/81 1/3))
(+.f64 (fma.f64 x 2/9 1/3) (.f64 (.f64 x x) (+.f64 4/27 (*.f64 8/81 x))))
(/.f64 -1/2 x)
(-.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (/.f64 1/2 x))
(fma.f64 -3/4 (/.f64 (/.f64 1 x) x) (/.f64 -1/2 x))
(fma.f64 -3/4 (/.f64 1 (*.f64 x x)) (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -3/4 (pow.f64 (/.f64 1 x) 2) (*.f64 -9/8 (/.f64 1 (pow.f64 x 3)))) (/.f64 1/2 x))
(+.f64 (/.f64 -9/8 (pow.f64 x 3)) (fma.f64 -3/4 (/.f64 (/.f64 1 x) x) (/.f64 -1/2 x)))
(+.f64 (fma.f64 -3/4 (/.f64 1 (*.f64 x x)) (/.f64 -1/2 x)) (/.f64 -9/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 -27/16 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 3)))) (.f64 1/2 (/.f64 1 x)))
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(/.f64 (/.f64 (.f64 x x) (fma.f64 x 2 3)) (/.f64 1 (fma.f64 (.f64 x x) -4 9)))
(.f64 (/.f64 (/.f64 (.f64 x x) (fma.f64 x 2 3)) 1) (fma.f64 (*.f64 x x) -4 9))
(.f64 (/.f64 x (fma.f64 x 2 3)) (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(/.f64 x (/.f64 (/.f64 (fma.f64 x 2 3) (fma.f64 x (*.f64 x -4) 9)) x))
(/.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 x (.f64 x (fma.f64 x -2 3)))
(/.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 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3 (.f64 x -2))) 2))) 1) (cbrt.f64 (+.f64 3 (.f64 x -2))))
(.f64 (cbrt.f64 (fma.f64 x -2 3)) (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2))))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) -2)) (cbrt.f64 (fma.f64 x -2 3)))) x)
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(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 x (.f64 x (fma.f64 x -2 3)))
(+.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 1 (+.f64 3 (*.f64 x -2)))
(/.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 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 (.f64 x -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 (cbrt.f64 (pow.f64 (fma.f64 x 2 3) 2)) (.f64 (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) (-.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)))
(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))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series7.0ms (0.2%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (/.f64 -1 x) -3)
1.0ms	x	@	inf	(pow.f64 (/.f64 -1 x) -3)
1.0ms	x	@	-inf	(pow.f64 (/.f64 -1 x) -3)
1.0ms	x	@	-inf	(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
1.0ms	x	@	inf	(*.f64 2 (pow.f64 (/.f64 -1 x) -3))

Compiler

Compiled 192 to 168 computations (12.5% saved)

rewrite47.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	167	17
2	1820	17

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

729×	`distribute-rgt-in_binary64`
718×	`log-prod_binary64`
684×	`distribute-lft-in_binary64`
572×	`fma-def_binary64`
500×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	515
1	169	452
2	517	389
3	2888	389

Stop Event

1×	node limit

Counts

42 → 41

Calls

Call 1

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

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

eval169.0ms (3.9%)

Compiler: Compiled 8550 to 6227 computations (27.2% saved)

prune81.0ms (1.9%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	505	8	513
Fresh	4	2	6
Picked	1	0	1
Done	2	4	6
Total	512	14	526

Error

Counts

526 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 (+.f64 27 (.f64 (pow.f64 x 3) -8)) (/.f64 (+.f64 9 (.f64 x (+.f64 (.f64 x 4) 6))) (.f64 x x)))
	0.3b	(/.f64 (.f64 x x) (/.f64 1 (+.f64 3 (.f64 -2 x))))
▶	0.3b	(/.f64 x (/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x))
▶	24.8b	(*.f64 (pow.f64 x 3) -2)
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	16.3b	(.f64 x (/.f64 (.f64 x 9) (+.f64 3 (*.f64 x 2))))
▶	24.9b	(*.f64 x (/.f64 x (/.f64 -1/2 x)))
	16.4b	(.f64 x (/.f64 x (+.f64 1/3 (.f64 x 2/9))))
	16.1b	(*.f64 x (/.f64 x 1/3))
✓	0.2b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
✓	24.9b	(.f64 x (.f64 x (*.f64 x -2)))
▶	16.0b	(.f64 x (.f64 3 x))
	16.1b	(*.f64 3 (pow.f64 (/.f64 1 x) -2))
✓	16.1b	(.f64 3 (.f64 x x))

Compiler

Compiled 238 to 175 computations (26.5% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series9.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x)
1.0ms	x	@	inf	(/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x)
1.0ms	x	@	-inf	(/.f64 1 (+.f64 3 (*.f64 -2 x)))
1.0ms	x	@	0	(/.f64 (/.f64 1 (+.f64 3 (*.f64 -2 x))) x)
1.0ms	x	@	inf	(/.f64 1 (+.f64 3 (*.f64 -2 x)))

Compiler

Compiled 570 to 496 computations (13% saved)

rewrite70.0ms (1.6%)

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)))))) 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((#(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))))))

simplify115.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

479×	`associate-/r/_binary64`
415×	`associate-/l/_binary64`
260×	`sqr-pow_binary64`
219×	`log-prod_binary64`
194×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	2864
1	1077	2593
2	3656	2573

Stop Event

1×	node limit

Counts

181 → 284

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 (/.f64 1 x) 2))
(+.f64 (.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (.f64 -3/4 (pow.f64 (/.f64 1 x) 3)))
(+.f64 (.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 3)) (*.f64 -9/8 (pow.f64 (/.f64 1 x) 4))))
(+.f64 (.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 3)) (+.f64 (.f64 -27/16 (pow.f64 (/.f64 1 x) 5)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 4)))))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) 2))
(+.f64 (.f64 3/4 (pow.f64 (/.f64 -1 x) 3)) (.f64 -1/2 (pow.f64 (/.f64 -1 x) 2)))
(+.f64 (.f64 3/4 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -9/8 (pow.f64 (/.f64 -1 x) 4)) (*.f64 -1/2 (pow.f64 (/.f64 -1 x) 2))))
(+.f64 (.f64 27/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 3/4 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -9/8 (pow.f64 (/.f64 -1 x) 4)) (.f64 -1/2 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -3))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
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)
(-.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -27/16 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 3)))) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (.f64 -3/4 (pow.f64 (/.f64 -1 x) 2)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 9/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -3/4 (pow.f64 (/.f64 -1 x) 2))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -27/16 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (.f64 9/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -3/4 (pow.f64 (/.f64 -1 x) 2)))) (.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 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 -1/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 (/.f64 1 x) (/.f64 -1/2 x))
(+.f64 (.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (.f64 -3/4 (pow.f64 (/.f64 1 x) 3)))
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) 2) (*.f64 -3/4 (/.f64 1 (pow.f64 x 3))))
(fma.f64 -1/2 (/.f64 (/.f64 1 x) x) (/.f64 -3/4 (pow.f64 x 3)))
(fma.f64 -1/2 (/.f64 1 (*.f64 x x)) (/.f64 -3/4 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 3)) (*.f64 -9/8 (pow.f64 (/.f64 1 x) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) 2) (fma.f64 -3/4 (/.f64 1 (pow.f64 x 3)) (*.f64 -9/8 (pow.f64 (/.f64 1 x) 4))))
(fma.f64 -1/2 (/.f64 (/.f64 1 x) x) (fma.f64 -9/8 (pow.f64 (/.f64 1 x) 4) (/.f64 -3/4 (pow.f64 x 3))))
(fma.f64 -1/2 (/.f64 1 (*.f64 x x)) (fma.f64 -9/8 (pow.f64 (/.f64 -1 x) 4) (/.f64 -3/4 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 3)) (+.f64 (.f64 -27/16 (pow.f64 (/.f64 1 x) 5)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 4)))))
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) 2) (fma.f64 -3/4 (/.f64 1 (pow.f64 x 3)) (fma.f64 -27/16 (pow.f64 (/.f64 1 x) 5) (*.f64 -9/8 (pow.f64 (/.f64 1 x) 4)))))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 1 x) x) (/.f64 -3/4 (pow.f64 x 3))) (fma.f64 -9/8 (pow.f64 (/.f64 1 x) 4) (*.f64 -27/16 (pow.f64 (/.f64 1 x) 5))))
(+.f64 (fma.f64 -1/2 (/.f64 1 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 3))) (fma.f64 -27/16 (pow.f64 (/.f64 1 x) 5) (.f64 -9/8 (pow.f64 (/.f64 -1 x) 4))))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 (/.f64 1 x) (/.f64 -1/2 x))
(+.f64 (.f64 3/4 (pow.f64 (/.f64 -1 x) 3)) (.f64 -1/2 (pow.f64 (/.f64 -1 x) 2)))
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) 2) (*.f64 -3/4 (/.f64 1 (pow.f64 x 3))))
(fma.f64 -1/2 (/.f64 (/.f64 1 x) x) (/.f64 -3/4 (pow.f64 x 3)))
(fma.f64 -1/2 (/.f64 1 (*.f64 x x)) (/.f64 -3/4 (pow.f64 x 3)))
(+.f64 (.f64 3/4 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -9/8 (pow.f64 (/.f64 -1 x) 4)) (*.f64 -1/2 (pow.f64 (/.f64 -1 x) 2))))
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) 2) (fma.f64 -3/4 (/.f64 1 (pow.f64 x 3)) (*.f64 -9/8 (pow.f64 (/.f64 1 x) 4))))
(fma.f64 -1/2 (/.f64 (/.f64 1 x) x) (fma.f64 -9/8 (pow.f64 (/.f64 1 x) 4) (/.f64 -3/4 (pow.f64 x 3))))
(fma.f64 -1/2 (/.f64 1 (*.f64 x x)) (fma.f64 -9/8 (pow.f64 (/.f64 -1 x) 4) (/.f64 -3/4 (pow.f64 x 3))))
(+.f64 (.f64 27/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 3/4 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -9/8 (pow.f64 (/.f64 -1 x) 4)) (.f64 -1/2 (pow.f64 (/.f64 -1 x) 2)))))
(fma.f64 27/16 (pow.f64 (/.f64 -1 x) 5) (fma.f64 3/4 (/.f64 -1 (pow.f64 x 3)) (fma.f64 -9/8 (pow.f64 (/.f64 -1 x) 4) (*.f64 -1/2 (pow.f64 (/.f64 -1 x) 2)))))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1 x) 2) (*.f64 -9/8 (pow.f64 (/.f64 -1 x) 4))) (fma.f64 27/16 (pow.f64 (/.f64 -1 x) 5) (/.f64 -3/4 (pow.f64 x 3))))
(fma.f64 27/16 (pow.f64 (/.f64 -1 x) 5) (fma.f64 -1/2 (/.f64 1 (*.f64 x x)) (fma.f64 -9/8 (pow.f64 (/.f64 -1 x) 4) (/.f64 -3/4 (pow.f64 x 3)))))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.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 (/.f64 1 x) -3))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 3 (pow.f64 (/.f64 1 x) -2) (*.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 -2 (pow.f64 (/.f64 1 x) -3) (*.f64 3 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 -2 (pow.f64 (/.f64 1 x) -3) (.f64 x (.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 3 (pow.f64 (/.f64 1 x) -2) (*.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 -2 (pow.f64 (/.f64 1 x) -3) (*.f64 3 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 -2 (pow.f64 (/.f64 1 x) -3) (.f64 x (.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 (/.f64 1 x) -2)) (.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 3 (pow.f64 (/.f64 1 x) -2) (*.f64 -2 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 -2 (pow.f64 (/.f64 1 x) -3) (*.f64 3 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 -2 (pow.f64 (/.f64 1 x) -3) (.f64 x (.f64 x 3)))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 2 (pow.f64 (/.f64 -1 x) -3) (*.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 2 (pow.f64 (/.f64 -1 x) -3) (*.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 2 (pow.f64 (/.f64 -1 x) -3)) (.f64 3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 2 (pow.f64 (/.f64 -1 x) -3) (*.f64 3 (pow.f64 (/.f64 -1 x) -2)))
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 4/27 (.f64 x x))))
(+.f64 1/3 (.f64 x (+.f64 2/9 (.f64 x 4/27))))
(+.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 4/27 (.f64 x x))) (fma.f64 8/81 (pow.f64 x 3) 1/3))
(+.f64 (fma.f64 x 2/9 1/3) (.f64 (.f64 x x) (+.f64 4/27 (*.f64 8/81 x))))
(/.f64 -1/2 x)
(-.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -3/4 (pow.f64 (/.f64 1 x) 2) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (/.f64 1 x) x) -3/4 (/.f64 -1/2 x))
(fma.f64 (/.f64 1 (*.f64 x x)) -3/4 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -3/4 (pow.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1 (pow.f64 x 3)) -9/8)) (/.f64 1/2 x))
(fma.f64 (/.f64 (/.f64 1 x) x) -3/4 (+.f64 (/.f64 -9/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(+.f64 (/.f64 -9/8 (pow.f64 x 3)) (fma.f64 (/.f64 1 (*.f64 x x)) -3/4 (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 -27/16 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -3/4 (pow.f64 (/.f64 1 x) 2)) (.f64 -9/8 (pow.f64 (/.f64 1 x) 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -27/16 (pow.f64 (/.f64 1 x) 4) (fma.f64 -3/4 (pow.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1 (pow.f64 x 3)) -9/8))) (/.f64 1/2 x))
(fma.f64 (pow.f64 (/.f64 1 x) 4) -27/16 (fma.f64 (/.f64 (/.f64 1 x) x) -3/4 (+.f64 (/.f64 -9/8 (pow.f64 x 3)) (/.f64 -1/2 x))))
(+.f64 (fma.f64 (pow.f64 (/.f64 -1 x) 4) -27/16 (fma.f64 (/.f64 1 (*.f64 x x)) -3/4 (/.f64 -9/8 (pow.f64 x 3)))) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (.f64 -3/4 (pow.f64 (/.f64 -1 x) 2)) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -3/4 (pow.f64 (/.f64 1 x) 2) (neg.f64 (/.f64 1/2 x)))
(fma.f64 (/.f64 (/.f64 1 x) x) -3/4 (/.f64 -1/2 x))
(fma.f64 (/.f64 1 (*.f64 x x)) -3/4 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 9/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -3/4 (pow.f64 (/.f64 -1 x) 2))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -3/4 (pow.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1 (pow.f64 x 3)) -9/8)) (/.f64 1/2 x))
(fma.f64 (/.f64 (/.f64 1 x) x) -3/4 (+.f64 (/.f64 -9/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(+.f64 (/.f64 -9/8 (pow.f64 x 3)) (fma.f64 (/.f64 1 (*.f64 x x)) -3/4 (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 -27/16 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (.f64 9/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -3/4 (pow.f64 (/.f64 -1 x) 2)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -27/16 (pow.f64 (/.f64 1 x) 4) (fma.f64 -3/4 (pow.f64 (/.f64 1 x) 2) (*.f64 (/.f64 1 (pow.f64 x 3)) -9/8))) (/.f64 1/2 x))
(fma.f64 (pow.f64 (/.f64 1 x) 4) -27/16 (fma.f64 (/.f64 (/.f64 1 x) x) -3/4 (+.f64 (/.f64 -9/8 (pow.f64 x 3)) (/.f64 -1/2 x))))
(+.f64 (fma.f64 (pow.f64 (/.f64 -1 x) 4) -27/16 (fma.f64 (/.f64 1 (*.f64 x x)) -3/4 (/.f64 -9/8 (pow.f64 x 3)))) (/.f64 -1/2 x))
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(/.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))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite36.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1132	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Rules

880×	`log-prod_binary64`
407×	`associate-l_binary64`
352×	`associate-r_binary64`
350×	`*-commutative_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	216
1	108	206
2	388	191
3	3054	191
4	6498	191

Stop Event

1×	node limit

Counts

26 → 21

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 x (/.f64 -1/2 x))
1.0ms	x	@	0	(/.f64 x (/.f64 -1/2 x))
1.0ms	x	@	-inf	(/.f64 x (/.f64 -1/2 x))
1.0ms	x	@	-inf	(*.f64 x (/.f64 x (/.f64 -1/2 x)))
1.0ms	x	@	inf	(*.f64 x (/.f64 x (/.f64 -1/2 x)))

Compiler

Compiled 200 to 176 computations (12% saved)

rewrite48.0ms (1.1%)

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)))))))))

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	659
1	391	659
2	1411	659
3	7038	659

Stop Event

1×	node limit

Counts

86 → 72

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 (/.f64 1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -2))
(.f64 -2 (.f64 x x))
(*.f64 -2 (pow.f64 (/.f64 1 x) -2))
(.f64 -2 (.f64 x x))
(*.f64 -2 (pow.f64 (/.f64 1 x) -2))
(.f64 -2 (.f64 x x))
(*.f64 -2 (pow.f64 (/.f64 1 x) -2))
(.f64 -2 (.f64 x x))
(*.f64 -2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -2 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 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 (.f64 x x) -1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x 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 (.f64 x 9) (+.f64 3 (*.f64 x 2))))
✓	0.2b	(/.f64 (.f64 x 9) (+.f64 3 (.f64 x 2)))

Compiler

Compiled 36 to 27 computations (25% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

Compiler

Compiled 320 to 274 computations (14.4% saved)

rewrite71.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
408×	`exp-prod_binary64`
306×	`pow-prod-down_binary64`
272×	`pow2_binary64`
195×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	220	25
2	2883	25

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

922×	`fma-def_binary64`
453×	`unswap-sqr_binary64`
360×	`distribute-rgt-in_binary64`
354×	`distribute-lft-in_binary64`
285×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	1710
1	831	1653
2	2726	1633

Stop Event

1×	node limit

Counts

118 → 187

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite51.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
497×	`add-sqr-sqrt_binary64`
474×	`add-log-exp_binary64`
473×	`log1p-expm1-u_binary64`
473×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1321	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) -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 (*.f64 x (cbrt.f64 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))) (#(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)))))))

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1133×	`log-prod_binary64`
457×	`exp-sum_binary64`
413×	`distribute-rgt-in_binary64`
406×	`distribute-lft-in_binary64`
343×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	185
1	111	185
2	340	185
3	1967	185
4	6103	185

Stop Event

1×	node limit

Counts

23 → 14

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 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 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 (*.f64 x (cbrt.f64 -2)) 3)
(pow.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 4 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))
(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 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 -2 (pow.f64 (/.f64 1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 x) -3))
(*.f64 2 (pow.f64 (/.f64 -1 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 (*.f64 x (cbrt.f64 -2)) 3)
(*.f64 -2 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x 3/2)) 2)
(*.f64 -2 (pow.f64 x 3))
(sqrt.f64 (*.f64 4 (pow.f64 x 6)))
(*.f64 -2 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))
(*.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))

eval223.0ms (5.1%)

Compiler: Compiled 8609 to 6299 computations (26.8% saved)

prune108.0ms (2.5%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	571	7	578
Fresh	4	1	5
Picked	0	1	1
Done	3	5	8
Total	578	14	592

Error

Counts

592 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	24.9b	(/.f64 (*.f64 x x) (/.f64 -1/2 x))
▶	24.9b	(/.f64 x (/.f64 (/.f64 -1/2 x) x))
▶	16.1b	(/.f64 x (/.f64 1/3 x))
	16.4b	(/.f64 x (+.f64 2/9 (/.f64 1/3 x)))
▶	16.4b	(/.f64 x (+.f64 2/9 (*.f64 1/3 (/.f64 1 x))))
	62.6b	(-.f64 (*.f64 9/2 x) 27/4)
✓	24.8b	(*.f64 (pow.f64 x 3) -2)
✓	16.3b	(.f64 x (/.f64 (.f64 x 9) (+.f64 3 (*.f64 x 2))))
✓	24.9b	(*.f64 x (/.f64 x (/.f64 -1/2 x)))
▶	16.1b	(*.f64 x (/.f64 x 1/3))
✓	0.2b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
✓	16.0b	(.f64 x (.f64 3 x))
▶	61.2b	(*.f64 x 9/2)
✓	16.1b	(.f64 3 (.f64 x x))

Compiler

Compiled 160 to 114 computations (28.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 x 1/3))
✓	0.3b	(/.f64 x 1/3)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 x 1/3)
1.0ms	x	@	-inf	(/.f64 x 1/3)
1.0ms	x	@	-inf	(*.f64 x (/.f64 x 1/3))
1.0ms	x	@	inf	(/.f64 x 1/3)
1.0ms	x	@	inf	(*.f64 x (/.f64 x 1/3))

Compiler

Compiled 160 to 136 computations (15% saved)

rewrite40.0ms (0.9%)

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))))))))

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

567×	`log-prod_binary64`
440×	`unswap-sqr_binary64`
437×	`associate-/l/_binary64`
220×	`distribute-rgt-neg-out_binary64`
218×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	345
1	222	345
2	777	345
3	3617	345

Stop Event

1×	node limit

Counts

64 → 44

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

localize3.0ms (0.1%)

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 1/3 x))
✓	0.4b	(/.f64 1/3 x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series4.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

Compiler

Compiled 160 to 136 computations (15% saved)

rewrite43.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`pow1_binary64`
544×	`add-log-exp_binary64`
544×	`log1p-expm1-u_binary64`
544×	`expm1-log1p-u_binary64`
533×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	113	11
2	1506	11

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

736×	`times-frac_binary64`
455×	`unswap-sqr_binary64`
429×	`associate-/r*_binary64`
359×	`associate-*l/_binary64`
313×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	582
1	330	525
2	1179	468

Stop Event

1×	node limit

Counts

70 → 67

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (/.f64 -1/2 x) x)
1.0ms	x	@	inf	(/.f64 (/.f64 -1/2 x) x)
1.0ms	x	@	0	(/.f64 x (/.f64 (/.f64 -1/2 x) x))
1.0ms	x	@	-inf	(/.f64 x (/.f64 (/.f64 -1/2 x) x))
1.0ms	x	@	-inf	(/.f64 (/.f64 -1/2 x) x)

Compiler

Compiled 200 to 176 computations (12% saved)

rewrite53.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`pow1_binary64`
703×	`add-log-exp_binary64`
702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	138	17
2	1952	17

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

644×	`log-prod_binary64`
605×	`fma-def_binary64`
421×	`unswap-sqr_binary64`
409×	`associate-/r/_binary64`
400×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	878
1	525	866
2	1944	793
3	5803	793

Stop Event

1×	node limit

Counts

100 → 98

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

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

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 23 computations (20.7% saved)

series8.0ms (0.2%)

Counts

3 → 27

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 x (+.f64 2/9 (*.f64 1/3 (/.f64 1 x))))
1.0ms	x	@	inf	(/.f64 x (+.f64 2/9 (*.f64 1/3 (/.f64 1 x))))
1.0ms	x	@	-inf	(/.f64 x (+.f64 2/9 (*.f64 1/3 (/.f64 1 x))))
1.0ms	x	@	0	(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))
1.0ms	x	@	inf	(+.f64 2/9 (*.f64 1/3 (/.f64 1 x)))

Compiler

Compiled 308 to 262 computations (14.9% saved)

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`unpow-prod-down_binary64`
415×	`log-prod_binary64`
325×	`exp-prod_binary64`
237×	`pow2_binary64`
221×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	198	21
2	2480	21

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-def_binary64`
477×	`distribute-rgt-in_binary64`
364×	`sqr-pow_binary64`
268×	`log-prod_binary64`
217×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	2506
1	1060	2418
2	3395	2370

Stop Event

1×	node limit

Counts

191 → 251

Calls

Call 1

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

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

eval139.0ms (3.2%)

Compiler: Compiled 5879 to 4391 computations (25.3% saved)

prune81.0ms (1.9%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	457	3	460
Fresh	1	2	3
Picked	1	0	1
Done	0	10	10
Total	459	15	474

Error

Counts

474 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	24.9b	(/.f64 (*.f64 x x) (/.f64 -1/2 x))
	16.1b	(/.f64 (*.f64 x x) 1/3)
✓	24.9b	(/.f64 x (/.f64 (/.f64 -1/2 x) x))
✓	16.1b	(/.f64 x (/.f64 1/3 x))
	16.4b	(/.f64 x (+.f64 (/.f64 1/3 x) 2/9))
	16.1b	(/.f64 x (*.f64 (/.f64 1 x) 1/3))
	62.6b	(-.f64 (*.f64 9/2 x) 27/4)
✓	24.8b	(*.f64 (pow.f64 x 3) -2)
✓	16.3b	(.f64 x (/.f64 (.f64 x 9) (+.f64 3 (*.f64 x 2))))
✓	24.9b	(*.f64 x (/.f64 x (/.f64 -1/2 x)))
✓	16.1b	(*.f64 x (/.f64 x 1/3))
✓	0.2b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
✓	16.0b	(.f64 x (.f64 3 x))
✓	61.2b	(*.f64 x 9/2)
✓	16.1b	(.f64 3 (.f64 x x))

Compiler

Compiled 108 to 76 computations (29.6% saved)

regimes31.0ms (0.7%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
10.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

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

Compiler

Compiled 292 to 192 computations (34.2% saved)

regimes26.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 85 to 52 computations (38.8% saved)

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	9.947402343579693e-9	381989224572.6411
9.0ms	-2.105859546153117	-0.384502771213187

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 320 to 231 computations (27.8% saved)

regimes19.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 57 to 35 computations (38.6% saved)

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	9.947402343579693e-9	381989224572.6411
9.0ms	-2.105859546153117	-0.384502771213187

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 286 to 197 computations (31.1% saved)

regimes17.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 43 to 26 computations (39.5% saved)

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	9.947402343579693e-9	381989224572.6411
10.0ms	-2.105859546153117	-0.384502771213187

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 286 to 197 computations (31.1% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

5.0ms

Results

Error	Segments	Branch
16.0b	1	`x`

Compiler

Compiled 36 to 22 computations (38.9% saved)

regimes4.0ms (0.1%)

Accuracy

Total -45.1b remaining (-281%)

Threshold costs -45.1b (-281%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
16.1b	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

17×	`*-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	40	151
1	57	151
2	67	151
3	75	151
4	91	151
5	99	151
6	102	151
7	103	151

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(if (<=.f64 x -1261007895663739/1125899906842624) (.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 -1/2 x)))))
(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 -1/2 x)))))
(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)

Outputs
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(if (<=.f64 x -1261007895663739/1125899906842624) (.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 -1/2 x)))))
(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 -1/2 x)))))
(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 -1/2 x)))))
(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)

Compiler

Compiled 112 to 74 computations (33.9% saved)

soundness256.0ms (5.9%)

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)

end63.0ms (1.5%)

Compiler: Compiled 106 to 68 computations (35.8% saved)