Details

analyze172.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
0%	0%	50%	0.1%	0%	50%	0%	3
0%	0%	50%	0.1%	0%	50%	0%	4
0%	0%	50%	0.1%	0%	50%	0%	5
16.7%	6.2%	31.2%	0.1%	0%	62.4%	0%	6
25%	9.4%	28.1%	0.1%	0%	62.4%	0%	7
45%	14%	17.2%	0.1%	0%	68.7%	0%	8
47.5%	14.8%	16.4%	0.1%	0%	68.7%	0%	9
63.4%	17.6%	10.1%	0.1%	0.4%	71.8%	0%	10
66.4%	18.1%	9.2%	0.1%	0.8%	71.8%	0%	11
78.2%	19.6%	5.5%	0.1%	1.5%	73.4%	0%	12

Compiler

Compiled 23 to 20 computations (13% saved)

sample3.1s (32.8%)

Results

2.8s	8256×	body	256	valid
211.0ms	606×	body	256	infinite
65.0ms	534×	body	256	invalid

Bogosity

preprocess209.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

12×	`rational_best-simplify-2`
4×	`rational_best-simplify-1`
4×	`rational_best-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	94
1	32	94
2	35	94
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))

(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a)))

Outputs
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
(.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a)))
(.f64 (-.f64 rand 1/3) (+.f64 1 (.f64 a (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand 1/3)))))))

Compiler

Compiled 24 to 21 computations (12.5% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`rational_best-simplify-2`
2×	`rational_best-simplify-1`
2×	`rational_best-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	21	47
2	23	47

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))

Outputs
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))

eval1.0ms (0%)

Compiler: Compiled 38 to 32 computations (15.8% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))

Compiler

Compiled 18 to 15 computations (16.7% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
✓	0.1b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
✓	0.2b	(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
✓	0.2b	(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series15.0ms (0.2%)

Counts

4 → 42

Calls

18 calls:

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

rewrite126.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational_best-simplify-57`
816×	`rational_best-simplify-44`
686×	`rational_best-5`
684×	`rational_best-4`
684×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	116
1	121	116
2	363	116
3	1507	116
4	6689	116

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))

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

simplify293.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational_best-simplify-80`
1294×	`rational_best-simplify-78`
1016×	`rational_best-simplify-2`
666×	`rational_best-simplify-132`
546×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	3761
1	442	3761
2	816	3755
3	2049	3755
4	4927	3755

Stop Event

1×	node limit

Counts

107 → 139

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(+.f64 0 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(-.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand) 0)
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand) 1)
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (+.f64 rand rand)) 2)
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)))
(+.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 0)
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(-.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1)
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (.f64 9 (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (sqrt.f64 (.f64 9 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) 9)))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (sqrt.f64 (.f64 9 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) 9)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 9 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))
(.f64 (sqrt.f64 (.f64 9 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (.f64 9 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) 9))))) (sqrt.f64 (.f64 (.f64 9 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) 9))) (.f64 9 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) 9))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (.f64 9 (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (.f64 9 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (.f64 9 (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1)
(/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))) 0)
(+.f64 0 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))))
(-.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))) 0)
(-.f64 0 (neg.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))))
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))) 1)
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand))) (/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand))) (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))))
(/.f64 (.f64 (+.f64 a -1/3) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (+.f64 rand rand)) -2)) 2)
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))) 1)
(neg.f64 (neg.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))))

Outputs
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3))))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (sqrt.f64 -3)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 -3/2 (/.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (sqrt.f64 -3)) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3)))))
(+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3)))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
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a
a
(-.f64 a 1/3)
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(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
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(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
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(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand))) (/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand))) (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))
(/.f64 (.f64 (+.f64 a -1/3) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (+.f64 rand rand)) -2)) 2)
(/.f64 (.f64 (+.f64 a -1/3) (-.f64 (.f64 rand (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 2)) -2)) 2)
(/.f64 (.f64 (+.f64 a -1/3) (-.f64 (.f64 rand (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) -2)) 2)
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))) 1)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))
(neg.f64 (neg.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))

eval203.0ms (2.2%)

Compiler: Compiled 4547 to 3904 computations (14.1% saved)

prune28.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	132	7	139
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	8	140

Error

0.0b

Counts

140 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	0.1b	(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)
▶	20.1b	(-.f64 a 1/3)
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
▶	43.9b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
▶	43.9b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
▶	44.0b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.9b	a

Compiler

Compiled 147 to 117 computations (20.4% saved)

localize167.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
✓	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.3b	(*.f64 1/3 rand)
✓	0.4b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))

Compiler

Compiled 45 to 32 computations (28.9% saved)

series8.0ms (0.1%)

Counts

4 → 38

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(sqrt.f64 (-.f64 a 1/3))
1.0ms	a	@	-inf	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
1.0ms	rand	@	0	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
1.0ms	a	@	inf	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
0.0ms	a	@	0	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`rational_best-simplify-57`
814×	`rational_best-simplify-44`
614×	`rational_best-5`
612×	`rational_best-4`
612×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	94	70
2	315	70
3	1323	70
4	5931	70

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(*.f64 1/3 rand)
(sqrt.f64 (-.f64 a 1/3))
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))

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

simplify213.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

916×	`rational_best-simplify-80`
774×	`rational_best-simplify-2`
736×	`rational_best-simplify-78`
700×	`rational_best-simplify-24`
602×	`rational_best-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	2488
1	332	2488
2	830	2488
3	1824	2488
4	3916	2488
5	7568	2488

Stop Event

1×	node limit

Counts

100 → 122

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
a
a
a
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(-.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 (*.f64 1/3 rand) 0)
(+.f64 0 (*.f64 1/3 rand))
(-.f64 (*.f64 1/3 rand) 0)
(-.f64 0 (neg.f64 (*.f64 1/3 rand)))
(/.f64 (*.f64 1/3 rand) 1)
(/.f64 (.f64 1/3 rand) (/.f64 (.f64 1/3 rand) (*.f64 1/3 rand)))
(/.f64 (*.f64 rand 2/3) 2)
(pow.f64 (*.f64 1/3 rand) 1)
(neg.f64 (neg.f64 (*.f64 1/3 rand)))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(-.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 0)
(-.f64 0 (neg.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(.f64 1 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
(.f64 (/.f64 (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
(.f64 (/.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (/.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (+.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)))) 2)
(pow.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(neg.f64 (neg.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 rand (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))))
(+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)))))
(+.f64 (+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))))
(+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243)))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))))))
(+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))
(+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))
(+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/3) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 rand (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 a (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 -1/3))) (.f64 a (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (.f64 a (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))))
(+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (.f64 a (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (+.f64 (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))) (.f64 a (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (+.f64 (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))) (.f64 a (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))))
(+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 -1/3))) (+.f64 (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243)))) (.f64 a (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))) (.f64 a (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))))
a
a
a
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
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(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
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(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
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(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
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(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
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(/.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 2/3)) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 2/3))))
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(.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
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(.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
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(.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 0)
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
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(-.f64 0 (neg.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
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(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
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(.f64 1 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
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(.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
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(.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
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(.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
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(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
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(.f64 (/.f64 (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
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(.f64 (/.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
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(.f64 (/.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
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(/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
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(/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
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(/.f64 (+.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)))) 2)
(/.f64 (+.f64 (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3)) (+.f64 a a)) 2)
(/.f64 (+.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 2/3)))) 2)
(/.f64 (+.f64 a (+.f64 a (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3)))) 2)
(pow.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(neg.f64 (neg.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.3b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓	0.4b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series7.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	rand	@	-inf	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	a	@	-inf	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	a	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
0.0ms	a	@	inf	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	a	@	0	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`rational_best-simplify-57`
772×	`rational_best-simplify-44`
630×	`rational_best-simplify-43`
550×	`rational_best-5`
548×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	85	40
2	285	40
3	1190	40
4	5358	40

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)

Outputs

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

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

simplify186.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational_best-simplify-80`
1514×	`rational_best-simplify-47`
1460×	`rational_best-simplify-78`
824×	`rational_best-simplify-43`
682×	`rational_best-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	884
1	162	884
2	281	884
3	573	884
4	2010	884
5	4558	884
6	7043	884

Stop Event

1×	node limit

Counts

28 → 50

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(-.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))) -2)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(-.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 2)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand))) -2)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 (sqrt.f64 -1/3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))))
(+.f64 (.f64 (sqrt.f64 -1/3) (.f64 1/3 rand)) (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)))))
(+.f64 (.f64 (sqrt.f64 -1/3) (.f64 1/3 rand)) (+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)))))
(+.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 -1/3) (.f64 1/3 rand)) (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))) (+.f64 (.f64 (sqrt.f64 -1/3) (.f64 1/3 rand)) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (+.f64 (.f64 1/6 (/.f64 (.f64 rand a) (sqrt.f64 -1/3))) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) 1/2))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) 1/2) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 (/.f64 (*.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)) -1/8)))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) 1/2) (.f64 (/.f64 (*.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)) -1/8)))
(+.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) 1/2)) (.f64 (/.f64 (*.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)) -1/8))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(+.f64 (.f64 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) 1/2) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)) -1/8) (.f64 (/.f64 (*.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243)) 1/16))))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (+.f64 (.f64 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)) -1/8) (.f64 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243)) 1/16)) (.f64 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) 1/2)))
(+.f64 (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) 1/2)) (+.f64 (.f64 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)) -1/8) (.f64 (/.f64 (*.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243)) 1/16)))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) 1/2) (+.f64 (.f64 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)) -1/8) (.f64 (/.f64 (*.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243)) 1/16))))
(+.f64 (.f64 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)) -1/8) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 (/.f64 (.f64 rand a) (sqrt.f64 -1/3)) 1/2) (.f64 (/.f64 (*.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243)) 1/16))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))) -2)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand))) -2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.3b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
✓	0.4b	(*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))
0.0ms	a	@	inf	(*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))
0.0ms	a	@	0	(*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))
0.0ms	a	@	-inf	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
0.0ms	a	@	inf	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))

rewrite172.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`rational_best-simplify-57`
766×	`rational_best-simplify-44`
636×	`rational_best-simplify-43`
556×	`rational_best-5`
554×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	85	40
2	287	40
3	1203	40
4	5395	40

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))

Outputs

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

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

simplify144.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1772×	`rational_best-simplify-47`
1660×	`rational_best-simplify-80`
1526×	`rational_best-simplify-78`
912×	`rational_best-simplify-132`
800×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1124
1	169	1124
2	292	1124
3	626	1124
4	2565	1124
5	6376	1124

Stop Event

1×	node limit

Counts

40 → 46

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(+.f64 0 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(-.f64 0 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3) 2)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3)) -2)
(pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(neg.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(-.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))) -2)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))

Outputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))) (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (+.f64 (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))) (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/27)))))
(+.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/27))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/27))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/243))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/27)))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/243)))))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 0 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 0 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3) 2)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3)) -2)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(neg.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))) -2)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
	0.3b	(*.f64 1/3 rand)
	0.4b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))

Compiler

Compiled 23 to 16 computations (30.4% saved)

eval312.0ms (3.3%)

Compiler: Compiled 7391 to 5881 computations (20.4% saved)

prune53.0ms (0.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	363	2	365
Fresh	0	2	2
Picked	0	1	1
Done	0	5	5
Total	363	10	373

Error

0.0b

Counts

373 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	0.1b	(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)
✓	20.1b	(-.f64 a 1/3)
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
✓	43.9b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
▶	54.4b	(.f64 rand (.f64 1/3 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
▶	47.8b	(.f64 rand (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
✓	43.9b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
✓	44.0b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.9b	a

Compiler

Compiled 143 to 114 computations (20.3% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 rand (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
✓	0.3b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
✓	0.4b	(.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
✓	24.7b	(sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))

Compiler

Compiled 86 to 67 computations (22.1% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
1.0ms	a	@	-inf	(.f64 rand (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
0.0ms	a	@	-inf	(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
0.0ms	a	@	inf	(.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
0.0ms	a	@	inf	(.f64 rand (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))

rewrite130.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`rational_best-5`
788×	`rational_best-4`
788×	`rational_best-2`
788×	`rational_best-3`
788×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	176
1	134	176
2	424	74
3	1828	74
4	7405	74

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))
(.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(.f64 rand (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (fabs.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 4/3) (.f64 (sqrt.f64 (+.f64 a -1/3)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 a -1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 a -1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 a -1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))

simplify431.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational_best-simplify-80`
1162×	`rational_best-simplify-78`
1046×	`rational_best-simplify-54`
1012×	`rational_best-simplify-44`
976×	`rational_best-simplify-129`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	231	3046
1	446	3038
2	878	3038
3	4156	3038

Stop Event

1×	node limit

Counts

122 → 142

Calls

Call 1

Inputs
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(*.f64 -1 a)
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 -1 a))
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 0)
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(-.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (fabs.f64 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 2) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (-.f64 0 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(+.f64 0 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(-.f64 0 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 4/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 4/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3) 2)
(pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(neg.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(-.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(-.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))

Outputs
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(*.f64 -1 a)
(*.f64 a -1)
(neg.f64 a)
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 a -1))
(+.f64 1/3 (neg.f64 a))
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 a -1))
(+.f64 1/3 (neg.f64 a))
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 a -1))
(+.f64 1/3 (neg.f64 a))
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))) (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2) (.f64 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)) -1/8)))
(+.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2) (+.f64 (sqrt.f64 -1/3) (.f64 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)) -1/8)))
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(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (-.f64 0 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 0 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 0 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 4/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 4/3)))
(/.f64 (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 4/3) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 4/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3) 2)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(neg.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 -1/3 a))
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(-.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 -1/3 a))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(sqrt.f64 (+.f64 -1/3 a))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))))
(/.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3)) (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (/.f64 (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3)) (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) (/.f64 (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 4/3)) (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 4/3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))

localize77.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 1/3 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
✓	16.5b	(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
	24.7b	(sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))
✓	25.6b	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))

Compiler

Compiled 194 to 149 computations (23.2% saved)

series3.0ms (0%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
0.0ms	a	@	-inf	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
0.0ms	a	@	-inf	(.f64 1/3 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
0.0ms	a	@	inf	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
0.0ms	a	@	0	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`rational_best-simplify-135`
886×	`rational_best-5`
884×	`rational_best-4`
884×	`rational_best-2`
884×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	247
1	149	247
2	459	247
3	1961	75

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))

(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))

(*.f64 1/3 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))

Outputs

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

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

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1704×	`rational_best-simplify-132`
1058×	`rational_best-simplify-47`
992×	`rational_best-simplify-129`
978×	`rational_best-simplify-44`
768×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	3757
1	506	3757
2	1111	3757
3	3155	3757

Stop Event

1×	node limit

Counts

97 → 116

Calls

Call 1

Inputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
1/9
(+.f64 1/9 (*.f64 -2/3 a))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (*.f64 -2/3 a))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (*.f64 -2/3 a))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
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(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) 0)
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(-.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) 0)
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3) 2)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) 1)

Outputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(+.f64 (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))
(+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))
(+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/3) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
1/9
(+.f64 1/9 (*.f64 -2/3 a))
(+.f64 1/9 (*.f64 a -2/3))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(+.f64 (*.f64 a -2/3) (+.f64 (pow.f64 a 2) 1/9))
(+.f64 (pow.f64 a 2) (+.f64 1/9 (*.f64 a -2/3)))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(+.f64 (*.f64 a -2/3) (+.f64 (pow.f64 a 2) 1/9))
(+.f64 (pow.f64 a 2) (+.f64 1/9 (*.f64 a -2/3)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (*.f64 -2/3 a))
(+.f64 (pow.f64 a 2) (*.f64 a -2/3))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(+.f64 (*.f64 a -2/3) (+.f64 (pow.f64 a 2) 1/9))
(+.f64 (pow.f64 a 2) (+.f64 1/9 (*.f64 a -2/3)))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(+.f64 (*.f64 a -2/3) (+.f64 (pow.f64 a 2) 1/9))
(+.f64 (pow.f64 a 2) (+.f64 1/9 (*.f64 a -2/3)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (*.f64 -2/3 a))
(+.f64 (pow.f64 a 2) (*.f64 a -2/3))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(+.f64 (*.f64 a -2/3) (+.f64 (pow.f64 a 2) 1/9))
(+.f64 (pow.f64 a 2) (+.f64 1/9 (*.f64 a -2/3)))
(+.f64 1/9 (+.f64 (pow.f64 a 2) (*.f64 -2/3 a)))
(+.f64 (*.f64 a -2/3) (+.f64 (pow.f64 a 2) 1/9))
(+.f64 (pow.f64 a 2) (+.f64 1/9 (*.f64 a -2/3)))
(*.f64 1/3 (sqrt.f64 -1/3))
(*.f64 (sqrt.f64 -1/3) 1/3)
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 (sqrt.f64 -1/3) 1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (+.f64 (.f64 (sqrt.f64 -1/3) 1/3) (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (*.f64 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)) -1/24))
(+.f64 (.f64 (sqrt.f64 -1/3) 1/3) (+.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6) (*.f64 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)) -1/24)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)) -1/24) (+.f64 (.f64 (sqrt.f64 -1/3) 1/3) (+.f64 (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)) 1/48) (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6))))
(+.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6) (+.f64 (+.f64 (.f64 (sqrt.f64 -1/3) 1/3) (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)) 1/48)) (.f64 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)) -1/24)))
(+.f64 (.f64 (sqrt.f64 -1/3) 1/3) (+.f64 (+.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6) (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)) 1/48)) (.f64 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)) -1/24)))
(+.f64 (.f64 (sqrt.f64 -1/3) 1/3) (+.f64 (.f64 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)) -1/24) (+.f64 (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6) (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)) 1/48))))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 -1/3 a))
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(-.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(sqrt.f64 (+.f64 -1/3 a))
(+.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 0)
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(+.f64 0 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(-.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 0)
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 1)
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (sqrt.f64 (.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (sqrt.f64 (.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (sqrt.f64 (.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (sqrt.f64 (.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (sqrt.f64 (.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 1)
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 2) 2)
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(pow.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 1)
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (-.f64 0 (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 2) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 2))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 2) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) 2))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 2) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))) (/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))) (/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a))))))) 2))
(fabs.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a))))) (.f64 2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))) 2))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (sqrt.f64 (+.f64 a -1/3))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 1 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))
(sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) 0)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) 1)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) (/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3) 2)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) 1)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
	0.0b	(sqrt.f64 (-.f64 a 1/3))
	0.3b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
	0.4b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 48 to 34 computations (29.2% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
0.0ms	a	@	-inf	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
0.0ms	a	@	inf	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
0.0ms	rand	@	inf	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
0.0ms	rand	@	0	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)

rewrite104.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`rational_best-simplify-57`
816×	`rational_best-simplify-44`
608×	`rational_best-5`
606×	`rational_best-4`
606×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	94	29
2	313	29
3	1311	29
4	5881	29

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)

Outputs

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

simplify143.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational_best-simplify-2`
1068×	`rational_best-simplify-80`
964×	`rational_best-simplify-78`
932×	`rational_best-simplify-94`
580×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1145
1	177	1145
2	560	1145
3	2228	1145
4	4487	1145

Stop Event

1×	node limit

Counts

37 → 42

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
a
a
a
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 0)
(-.f64 0 (neg.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(.f64 1 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
(.f64 (/.f64 (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
(.f64 (/.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (/.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(/.f64 (+.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)))) 2)
(/.f64 (.f64 (neg.f64 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2) -2)
(pow.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(neg.f64 (neg.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)))))
(+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (+.f64 (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))))))
(+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (+.f64 (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/243))) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))))))
a
a
a
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
(+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 0)
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 0 (neg.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 1 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 1 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (/.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (+.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)))) 2)
(/.f64 (+.f64 a (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 2/3)))) 2)
(/.f64 (+.f64 a (+.f64 a (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3)))) 2)
(/.f64 (+.f64 (.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3)) (+.f64 a a)) 2)
(/.f64 (.f64 (neg.f64 (+.f64 a (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2) -2)
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(pow.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(neg.f64 (neg.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))

eval244.0ms (2.6%)

Compiler: Compiled 14471 to 11523 computations (20.4% saved)

prune76.0ms (0.8%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	452	2	454
Fresh	0	1	1
Picked	0	1	1
Done	2	6	8
Total	454	10	464

Error

0.0b

Counts

464 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	0.1b	(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)
✓	20.1b	(-.f64 a 1/3)
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
✓	43.9b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
▶	54.4b	(.f64 rand (.f64 1/3 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
▶	44.4b	(.f64 rand (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)))
✓	43.9b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
✓	44.0b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.9b	a

Compiler

Compiled 155 to 123 computations (20.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
✓	0.3b	(.f64 rand (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)))
✓	0.3b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)
✓	0.4b	(.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a))

Compiler

Compiled 50 to 38 computations (24% saved)

series9.0ms (0.1%)

Counts

4 → 28

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)
1.0ms	a	@	-inf	(.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a))
1.0ms	rand	@	0	(.f64 rand (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)))
1.0ms	a	@	-inf	(.f64 rand (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)))
1.0ms	a	@	0	(.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a))

rewrite119.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`rational_best-simplify-57`
738×	`rational_best-simplify-47`
734×	`rational_best-5`
732×	`rational_best-4`
732×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	104
1	117	104
2	366	104
3	1556	104
4	6367	104

Stop Event

1×	node limit

Counts

4 → 46

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)
(.f64 rand (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))

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

simplify217.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1202×	`rational_best-simplify-44`
878×	`rational_best-simplify-132`
674×	`rational_best-simplify-49`
584×	`rational_best-simplify-1`
488×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2848
1	353	2842
2	668	2836
3	2222	2836
4	3718	2836
5	6915	2836

Stop Event

1×	node limit

Counts

74 → 116

Calls

Call 1

Inputs
(.f64 1/3 (.f64 a (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3))) (.f64 1/3 (*.f64 a (sqrt.f64 -3))))
(+.f64 (.f64 -3/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3))) (.f64 1/3 (*.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 -3/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 4)) (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3))) (.f64 1/3 (.f64 a (sqrt.f64 -3))))))
(*.f64 a (sqrt.f64 -3))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3))) (.f64 a (sqrt.f64 -3)))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (.f64 a (sqrt.f64 -3)) (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3)))))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 4)) (sqrt.f64 -3))) (+.f64 (.f64 a (sqrt.f64 -3)) (.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 1/3 (.f64 a (*.f64 rand (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 a (.f64 rand (sqrt.f64 -3)))) (.f64 -3/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 a (.f64 rand (sqrt.f64 -3)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 4) rand)) (sqrt.f64 -3))) (+.f64 (.f64 1/3 (.f64 a (.f64 rand (sqrt.f64 -3)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3))))))
(sqrt.f64 -3)
(+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (sqrt.f64 -3))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) 0)
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) 1)
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))))
(/.f64 (.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 2/3)) 2)
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))))
(+.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 0)
(+.f64 0 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(-.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 0)
(-.f64 0 (neg.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 1)
(/.f64 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a a)) 2)
(pow.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 1)
(neg.f64 (neg.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) 0)
(+.f64 0 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))))
(-.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) 0)
(-.f64 0 (neg.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand)))))
(/.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) 1)
(/.f64 (.f64 a (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) (/.f64 (.f64 a (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 a (*.f64 rand 2/3))) 2)
(pow.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) 1)
(neg.f64 (neg.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand)))))
(+.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 0)
(+.f64 0 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1)
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))

Outputs
(.f64 1/3 (.f64 a (sqrt.f64 -3)))
(.f64 (sqrt.f64 -3) (.f64 1/3 a))
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(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (sqrt.f64 -3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3)))) (sqrt.f64 -3))) (.f64 -9/2 (/.f64 a (sqrt.f64 -3))))))
(+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (+.f64 (sqrt.f64 -3) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3)))) (sqrt.f64 -3)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3)))))
(+.f64 (sqrt.f64 -3) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 3) (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3)))) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) 0)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))
(.f64 1/3 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))
(.f64 1/3 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) 0)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))
(.f64 1/3 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(-.f64 0 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))
(.f64 1/3 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) 1)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))
(.f64 1/3 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))
(.f64 1/3 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 2/3)) 2)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))
(.f64 1/3 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a)) 1)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))
(.f64 1/3 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(neg.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 1/3 a))
(.f64 1/3 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 0)
(*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(+.f64 0 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 0)
(*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 0 (neg.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a a)) 2)
(*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(neg.f64 (neg.f64 (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) 0)
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 rand (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 a)))
(+.f64 0 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 rand (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 a)))
(-.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) 0)
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 rand (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 a)))
(-.f64 0 (neg.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 rand (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 a)))
(/.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) 1)
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 rand (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 a)))
(/.f64 (.f64 a (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) (/.f64 (.f64 a (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 rand (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 a)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 a (*.f64 rand 2/3))) 2)
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 rand (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 a)))
(pow.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand))) 1)
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 rand (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 a)))
(neg.f64 (neg.f64 (.f64 a (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) rand)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 rand (*.f64 a (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(.f64 rand (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 a)))
(+.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 0)
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(+.f64 0 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(-.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 0)
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1 (sqrt.f64 (+.f64 a -1/3)))

localize183.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	16.5b	(sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
	24.7b	(sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))
✓	24.9b	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
✓	25.6b	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))

Compiler

Compiled 307 to 238 computations (22.5% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite159.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`rational_best-simplify-135`
856×	`rational_best-5`
854×	`rational_best-4`
854×	`rational_best-2`
854×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	236
1	148	236
2	461	120
3	1995	34

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))

(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))

Outputs

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

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

simplify291.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational_best-simplify-80`
1030×	`rational_best-simplify-24`
1030×	`rational_best-simplify-78`
872×	`rational_best-simplify-94`
724×	`rational_best-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	1516
1	419	1508
2	887	1508
3	2372	1508
4	4130	1508
5	7630	1508

Stop Event

1×	node limit

Counts

70 → 80

Calls

Call 1

Inputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(*.f64 -1 a)
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 -1 a))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(-.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 a -1/3))
(+.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 0)
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(-.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 0)
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 2) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)
(sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(fabs.f64 (-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 2) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 2) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) 2))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 1 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))

Outputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))
(+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))
(+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/3) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(*.f64 -1 a)
(*.f64 a -1)
(neg.f64 a)
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 a -1))
(+.f64 1/3 (neg.f64 a))
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 a -1))
(+.f64 1/3 (neg.f64 a))
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (*.f64 a -1))
(+.f64 1/3 (neg.f64 a))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 -1/3 a))
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(-.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(sqrt.f64 (+.f64 -1/3 a))
(+.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 0)
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(-.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 0)
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 2) 2)
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) 1)
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 2) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) 2))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (/.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) 2) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))) (/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (+.f64 -1/3 a)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))) (/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a))))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a))))))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)) (.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a))))))) 2))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 1 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (neg.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 -1/3 a)))

eval480.0ms (5.1%)

Compiler: Compiled 22240 to 17816 computations (19.9% saved)

prune94.0ms (1%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	415	3	418
Fresh	0	1	1
Picked	1	0	1
Done	0	8	8
Total	416	12	428

Error

Counts

428 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	0.1b	(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)
✓	20.1b	(-.f64 a 1/3)
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
✓	43.9b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
	44.4b	(.f64 rand (/.f64 (.f64 a (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 2/3)) 2))
	54.8b	(.f64 rand (.f64 1/3 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 (/.f64 1 a) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
✓	44.4b	(.f64 rand (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)))
✓	43.9b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
	44.4b	(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
✓	44.0b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	20.9b	a

Compiler

Compiled 178 to 141 computations (20.8% saved)

regimes43.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 rand (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)))
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 rand (/.f64 (.f64 a (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 2/3)) 2))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(.f64 rand (.f64 1/3 (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))
(.f64 rand (.f64 1/3 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(.f64 rand (.f64 1/3 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 (/.f64 1 a) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))
(.f64 rand (.f64 1/3 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) (+.f64 a -1/3)))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))) (sqrt.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (+.f64 a -1/3))))))))

Outputs
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)

Calls

4 calls:

10.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
9.0ms	rand
8.0ms	(-.f64 a (/.f64 1 3))
8.0ms	a

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`rand`
0.1b	1	`(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))`
0.1b	1	`(-.f64 a (/.f64 1 3))`

Compiler

Compiled 321 to 251 computations (21.8% saved)

regimes37.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

Inputs
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 1/3 rand)))
(.f64 rand (.f64 1/3 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) a)))

Outputs
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(-.f64 a 1/3)
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))

Calls

2 calls:

19.0ms	a
14.0ms	rand

Results

Error	Segments	Branch
18.6b	3	`a`
3.7b	3	`rand`

Compiler

Compiled 60 to 44 computations (26.7% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	1.8641496331792694e+89	1.165152269361968e+91
23.0ms	-1.5572161778957134e+105	-7.507276924726945e+95

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes24.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 a 1/3)
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))

Calls

2 calls:

11.0ms	a
10.0ms	rand

Results

Error	Segments	Branch
18.6b	3	`a`
3.7b	3	`rand`

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.8641496331792694e+89	1.165152269361968e+91
23.0ms	-1.5572161778957134e+105	-7.507276924726945e+95

Results

37.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes56.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

Inputs
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Calls

2 calls:

46.0ms	a
9.0ms	rand

Results

Error	Segments	Branch
18.6b	3	`a`
3.8b	3	`rand`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch124.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.8641496331792694e+89	1.165152269361968e+91
93.0ms	-1.5572161778957134e+105	-7.507276924726945e+95

Results

105.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.8b remaining (-4.2%)

Threshold costs -0.8b (-4.2%)

Counts

2 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)

Outputs
(-.f64 a 1/3)

Calls

2 calls:

3.0ms	rand
3.0ms	a

Results

Error	Segments	Branch
20.1b	1	`a`
20.1b	1	`rand`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	256

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)
(if (<=.f64 rand -759999999999999985723573291885573682883661043418807472827594336314098649697463369086849161101312) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) (if (<=.f64 rand 190000000000000011724495359268796544399751765205309447639573277495082284698349555066863616) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -819999999999999972115318617138457487981140741699616732077302910484586692946782474635490436841472) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 235000000000000010781671492193755032108540339610949020338453481374193440291945604861394944) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -800000000000000016175103301724757590860877058571486192910221484966403203998531447486958262026240) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1499999999999999893187063000287551528072259115156795747990027195943962973264670404665933824) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(-.f64 a 1/3)
a

Outputs
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))) 1/3)
(if (<=.f64 rand -759999999999999985723573291885573682883661043418807472827594336314098649697463369086849161101312) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) (if (<=.f64 rand 190000000000000011724495359268796544399751765205309447639573277495082284698349555066863616) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -819999999999999972115318617138457487981140741699616732077302910484586692946782474635490436841472) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 235000000000000010781671492193755032108540339610949020338453481374193440291945604861394944) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -800000000000000016175103301724757590860877058571486192910221484966403203998531447486958262026240) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1499999999999999893187063000287551528072259115156795747990027195943962973264670404665933824) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(-.f64 a 1/3)
a

Compiler

Compiled 109 to 83 computations (23.9% saved)

soundness190.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1452×	`rational_best-simplify-80`
1294×	`rational_best-simplify-78`
1016×	`rational_best-simplify-2`
666×	`rational_best-simplify-132`
546×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	21	47
2	23	47
0	229	3761
1	442	3761
2	816	3755
3	2049	3755
4	4927	3755

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 112 to 91 computations (18.8% saved)

end149.0ms (1.6%)

Compiler: Compiled 99 to 73 computations (26.3% saved)

Details

analyze172.0ms (1.8%)

sample3.1s (32.8%)

preprocess209.0ms (2.2%)

simplify13.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize28.0ms (0.3%)

series15.0ms (0.2%)

rewrite126.0ms (1.3%)

simplify293.0ms (3.1%)

eval203.0ms (2.2%)

prune28.0ms (0.3%)

localize167.0ms (1.8%)

series8.0ms (0.1%)

rewrite117.0ms (1.2%)

simplify213.0ms (2.3%)

localize3.0ms (0%)

localize11.0ms (0.1%)

series7.0ms (0.1%)

rewrite104.0ms (1.1%)

simplify186.0ms (2%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite172.0ms (1.8%)

simplify144.0ms (1.5%)

localize10.0ms (0.1%)

eval312.0ms (3.3%)

prune53.0ms (0.6%)

localize34.0ms (0.4%)

series4.0ms (0%)

rewrite130.0ms (1.4%)

simplify431.0ms (4.6%)

localize77.0ms (0.8%)

series3.0ms (0%)

rewrite74.0ms (0.8%)

simplify107.0ms (1.1%)

localize20.0ms (0.2%)

series1.0ms (0%)

rewrite104.0ms (1.1%)

simplify143.0ms (1.5%)

eval244.0ms (2.6%)

prune76.0ms (0.8%)

localize20.0ms (0.2%)

series9.0ms (0.1%)

rewrite119.0ms (1.3%)

simplify217.0ms (2.3%)

localize183.0ms (1.9%)

series1.0ms (0%)

rewrite159.0ms (1.7%)

simplify291.0ms (3.1%)

eval480.0ms (5.1%)

prune94.0ms (1%)

regimes43.0ms (0.5%)

regimes37.0ms (0.4%)

bsearch39.0ms (0.4%)

regimes24.0ms (0.2%)

bsearch41.0ms (0.4%)

regimes56.0ms (0.6%)

bsearch124.0ms (1.3%)

regimes6.0ms (0.1%)

simplify5.0ms (0.1%)

soundness190.0ms (2%)

end149.0ms (1.6%)

Profiling