Details

analyze106.0ms (0.9%)

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)

sample3.9s (33.2%)

Results

3.3s	8256×	body	256	valid
449.0ms	635×	body	256	infinite
109.0ms	533×	body	256	invalid

Bogosity

preprocess142.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

16×	`rational.json-simplify-2`
4×	`rational.json-simplify-17`
4×	`rational.json-simplify-52`
4×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	94
1	35	94
2	41	94
3	43	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)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`rational.json-simplify-2`
2×	`rational.json-simplify-17`
2×	`rational.json-simplify-52`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	23	47
2	26	47
3	27	47

Stop Event

1×

saturated

Counts

1 → 3

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)))

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

eval2.0ms (0%)

Compiler: Compiled 54 to 45 computations (16.7% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

4 → 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)

localize50.0ms (0.4%)

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)
✓	0.3b	(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series24.0ms (0.2%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	rand	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
2.0ms	a	@	-inf	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
2.0ms	a	@	inf	(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
2.0ms	a	@	0	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
2.0ms	a	@	-inf	(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))

rewrite188.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`rational.json-simplify-47`
706×	`rational.json-simplify-49`
696×	`rational.json-simplify-50`
676×	`rational.json-simplify-58`
606×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	116
1	125	116
2	367	116
3	1328	116
4	5316	116

Stop Event

1×	node limit

Counts

4 → 55

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 (-.f64 0 (-.f64 -1 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))))) 1)))) (#(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 (/.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 (/.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 (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))) (.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))) 1))))) (#(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 (/.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 (/.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 (/.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 (/.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)))) 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 (/.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 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 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 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 (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)) 1)))) (#(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 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 (-.f64 0 (-.f64 -1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))) 1)))) (#(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 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) 81))))))) (#(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 (/.f64 1 (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) (.f64 (-.f64 a 1/3) 81))) (/.f64 1 (/.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) (.f64 (-.f64 a 1/3) 81))) (/.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) (.f64 (-.f64 a 1/3) 81))) (/.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 (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) 81)) (.f64 (-.f64 a 1/3) 81)))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) 81)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) 81)) (.f64 (-.f64 a 1/3) 81)))) (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) 81)) (.f64 (-.f64 a 1/3) 81))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) 81)))) (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) 81)) (.f64 (-.f64 a 1/3) 81))))))))) (#(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 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 0 (-.f64 -1 (.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))) 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 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)))))))))

simplify241.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational.json-simplify-47`
1062×	`rational.json-simplify-54`
820×	`rational.json-simplify-43`
686×	`rational.json-simplify-50`
678×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	4097
1	425	4091
2	815	4091
3	2427	4085
4	7323	4085

Stop Event

1×	node limit

Counts

97 → 140

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

eval119.0ms (1%)

Compiler: Compiled 4766 to 4058 computations (14.9% saved)

prune33.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	132	8	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	9	141

Error

0.0b

Counts

141 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(-.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 rand 1/3))) 1/3)
▶	23.0b	(-.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)))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))))
	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
▶	40.5b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
▶	40.8b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	23.4b	a

Compiler

Compiled 199 to 161 computations (19.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 32 computations (28.9% saved)

series7.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

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

rewrite140.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`rational.json-simplify-54`
798×	`rational.json-simplify-47`
796×	`rational.json-simplify-49`
660×	`rational.json-simplify-58`
610×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	94	70
2	312	70
3	1171	70
4	4760	70

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

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

simplify230.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational.json-simplify-47`
864×	`rational.json-simplify-2`
794×	`rational.json-simplify-54`
738×	`rational.json-simplify-41`
710×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	2552
1	376	2552
2	868	2552
3	2574	2552
4	7344	2552

Stop Event

1×	node limit

Counts

112 → 109

Calls

Call 1

Inputs
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 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 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 (+.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)))
(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 (*.f64 rand 1/3) 0)
(+.f64 0 (*.f64 rand 1/3))
(-.f64 (*.f64 rand 1/3) 0)
(-.f64 0 (neg.f64 (*.f64 rand 1/3)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 rand 1/3))) 1)
(/.f64 (*.f64 rand 1/3) 1)
(/.f64 (.f64 rand 1/3) (/.f64 (.f64 rand 1/3) (*.f64 rand 1/3)))
(pow.f64 (*.f64 rand 1/3) 1)
(neg.f64 (neg.f64 (*.f64 rand 1/3)))
(+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 0)
(+.f64 0 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))
(-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 0)
(-.f64 0 (neg.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) 1)
(/.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1)
(/.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) (/.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(pow.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1)
(neg.f64 (neg.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(-.f64 a (neg.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) (neg.f64 a))
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 0)
(-.f64 0 (-.f64 (neg.f64 a) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(-.f64 (-.f64 a (-.f64 -1 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) 1)
(-.f64 (-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) (-.f64 -1 a)) 1)
(-.f64 (-.f64 0 (-.f64 -1 a)) (-.f64 1 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) (-.f64 1 a))
(-.f64 (-.f64 0 (-.f64 -1 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))) 1)
(.f64 (+.f64 a (.f64 rand (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1)
(.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (/.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))))
(.f64 1 (+.f64 a (.f64 rand (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(.f64 (/.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) (+.f64 a (.f64 rand (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(.f64 (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) (/.f64 1 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))))
(.f64 (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) (.f64 (/.f64 1 (+.f64 a (.f64 rand (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) 1))
(.f64 (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) (/.f64 (/.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))))
(.f64 (/.f64 1 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))))
(.f64 (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))))) (/.f64 (/.f64 1 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (*.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))))
(.f64 (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))))) (/.f64 (.f64 (/.f64 1 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) 1) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))))
(.f64 (.f64 (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))))))
(/.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1)
(/.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (/.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))))
(pow.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1)
(neg.f64 (-.f64 (neg.f64 a) (.f64 rand (.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 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 a 1/3)))) 1)
(*.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 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 (sqrt.f64 (.f64 (-.f64 a 1/3) (-.f64 a 1/3))) (/.f64 1 (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))) 1))
(.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (-.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 (-.f64 a 1/3) (.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 (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) (-.f64 a 1/3))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) 1) (sqrt.f64 (.f64 (-.f64 a 1/3) (-.f64 a 1/3)))))
(.f64 (.f64 (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 (/.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 (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))))
(pow.f64 (sqrt.f64 (-.f64 a 1/3)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 a 1/3))))

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

localize3.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓	0.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

12 calls:

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

rewrite112.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`rational.json-simplify-54`
712×	`rational.json-simplify-47`
698×	`rational.json-simplify-49`
564×	`rational.json-simplify-58`
552×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	85	40
2	286	40
3	1065	40
4	4294	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 0 (-.f64 -1 (*.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)) 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 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 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 rand 2/3)))))) (#(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)) (*.f64 rand 2/3)) (*.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 (neg.f64 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.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) 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 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)))))))

simplify171.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1518×	`rational.json-simplify-49`
1142×	`rational.json-simplify-54`
972×	`rational.json-simplify-43`
876×	`rational.json-simplify-47`
806×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	934
1	175	934
2	331	934
3	812	934
4	2851	934
5	7586	934

Stop Event

1×	node limit

Counts

28 → 55

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

localize25.0ms (0.2%)

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)) (.f64 rand 1/3))
	0.3b	(*.f64 rand 1/3)

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.0b	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
	0.6b	(.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	@	0	(+.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)

rewrite116.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`rational.json-simplify-54`
772×	`rational.json-simplify-47`
734×	`rational.json-simplify-49`
614×	`rational.json-simplify-58`
596×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	94	29
2	312	29
3	1167	29
4	4719	29

Stop Event

1×	node limit

Counts

1 → 24

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

simplify413.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational.json-simplify-2`
976×	`rational.json-simplify-50`
886×	`rational.json-simplify-43`
816×	`rational.json-simplify-54`
794×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1191
1	199	1191
2	448	1191
3	1964	1191
4	5352	1191
5	7775	1191

Stop Event

1×	node limit

Counts

39 → 52

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

eval376.0ms (3.2%)

Compiler: Compiled 9429 to 7461 computations (20.9% saved)

prune79.0ms (0.7%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	407	3	410
Fresh	0	3	3
Picked	0	1	1
Done	1	4	5
Total	408	11	419

Error

0.0b

Counts

419 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) a) 1/3)
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	23.0b	(-.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)))
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))))
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
▶	48.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (.f64 (-.f64 a 1/3) (-.f64 a 1/3)))) (.f64 rand 1/3))
✓	40.5b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
▶	40.5b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
✓	40.8b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	23.4b	a

Compiler

Compiled 222 to 180 computations (18.9% saved)

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.0b	(+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) a)
✓	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 48 to 35 computations (27.1% saved)

series4.0ms (0%)

Counts

3 → 38

Calls

15 calls:

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

rewrite260.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`rational.json-simplify-47`
746×	`rational.json-simplify-49`
692×	`rational.json-simplify-58`
606×	`rational.json-simplify-50`
550×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	94	69
2	314	69
3	1183	69
4	4825	69

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

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

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

simplify219.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-50`
1338×	`rational.json-simplify-54`
1140×	`rational.json-simplify-43`
1124×	`rational.json-simplify-58`
1006×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	2418
1	318	2418
2	718	2418
3	2945	2418
4	7199	2418

Stop Event

1×	node limit

Counts

80 → 76

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

localize13.0ms (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)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
✓	0.1b	(sqrt.f64 (/.f64 1 (-.f64 a 1/3)))
✓	0.2b	(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
✓	0.4b	(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))

Compiler

Compiled 66 to 52 computations (21.2% saved)

series10.0ms (0.1%)

Counts

4 → 30

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
2.0ms	a	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
1.0ms	a	@	-inf	(sqrt.f64 (/.f64 1 (-.f64 a 1/3)))
1.0ms	a	@	-inf	(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
0.0ms	a	@	inf	(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)

rewrite349.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`rational.json-simplify-47`
928×	`rational.json-simplify-49`
768×	`rational.json-simplify-50`
640×	`rational.json-5`
638×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	120	116
2	377	116
3	1394	116
4	5666	116

Stop Event

1×	node limit

Counts

4 → 49

Calls

Call 1

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

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

simplify308.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

908×	`rational.json-simplify-1`
868×	`rational.json-simplify-2`
546×	`rational.json-simplify-111`
476×	`rational.json-simplify-47`
462×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	3257
1	378	3245
2	724	3245
3	1857	3239
4	4551	3239
5	7014	3239

Stop Event

1×	node limit

Counts

79 → 130

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))))
	0.1b	(sqrt.f64 (/.f64 1 (-.f64 a 1/3)))
✓	0.2b	(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
✓	0.4b	(*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))

Compiler

Compiled 66 to 53 computations (19.7% saved)

series3.0ms (0%)

Counts

3 → 38

Calls

15 calls:

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

rewrite246.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`rational.json-simplify-47`
940×	`rational.json-simplify-49`
778×	`rational.json-simplify-50`
650×	`rational.json-5`
648×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	99
1	120	99
2	379	99
3	1410	99
4	5776	99

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

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

Outputs

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

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

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

simplify294.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1432×	`rational.json-simplify-49`
1160×	`rational.json-simplify-43`
910×	`rational.json-simplify-47`
720×	`rational.json-simplify-41`
630×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	2967
1	282	2961
2	507	2961
3	1131	2955
4	3616	2955
5	7188	2955

Stop Event

1×	node limit

Counts

65 → 94

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 (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 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 (.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 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) 0)
(+.f64 0 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) 0)
(-.f64 0 (neg.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))) 1)
(/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) 1)
(/.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) 2/3) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) 2/3)))
(pow.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) 1)
(neg.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) 0)
(-.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) 1)
(-.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) 1)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 2/3 rand)) (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 2/3 rand))))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) 1)
(neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(+.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) 0)
(+.f64 0 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))))
(-.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) 0)
(-.f64 0 (neg.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))))) 1)
(/.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) 1)
(/.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) (/.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))))
(pow.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) 1)
(neg.f64 (neg.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) 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 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (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 1/3 (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 -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 (+.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 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 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 (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3)))) (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 3)) (sqrt.f64 -3)))))
(+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (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)) 3))) (pow.f64 a 3)) (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 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 3)) (sqrt.f64 -3)) (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (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 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3)) (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 3)) (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 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 1/3 (.f64 (sqrt.f64 -3) rand))
(.f64 (sqrt.f64 -3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)) (.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 (sqrt.f64 -3) rand)) (+.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 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (+.f64 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)) (.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (+.f64 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)) (.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 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (+.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 (sqrt.f64 -3) (.f64 1/3 rand)) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (+.f64 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3)) (/.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 (sqrt.f64 -3) rand)) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (+.f64 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)) (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3)))) (.f64 -1/6 (+.f64 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)) (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3)))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 -3) rand))))
(.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -3) (*.f64 1/3 rand))))
(+.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 -1/3 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)))) (.f64 a (+.f64 1 (+.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/3 (*.f64 (sqrt.f64 -3) rand))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)))) (.f64 a (+.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 (sqrt.f64 -3) (*.f64 1/3 rand))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)))) (.f64 a (+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)))) (.f64 a (+.f64 1 (+.f64 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)) (*.f64 1/2 (/.f64 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))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)))) (+.f64 (.f64 (pow.f64 a 2) (+.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))))) (.f64 a (+.f64 1 (+.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/3 (*.f64 (sqrt.f64 -3) rand)))))))
(+.f64 (.f64 (pow.f64 a 2) (+.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))))) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)))) (.f64 a (+.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 (sqrt.f64 -3) (*.f64 1/3 rand)))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 (pow.f64 a 2) (+.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)))))))
(+.f64 (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)))) (.f64 a (+.f64 1 (+.f64 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)) (.f64 1/2 (/.f64 rand (sqrt.f64 -3))))))) (.f64 (pow.f64 a 2) (+.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))))))
(+.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)))))
(+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/3 (.f64 (sqrt.f64 -3) rand))))) (+.f64 (+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)))) (.f64 (pow.f64 a 2) (+.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)))))) (.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)) 3))) 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 1/2 (/.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 (sqrt.f64 -3) (.f64 1/3 rand))))) (+.f64 (+.f64 (.f64 -1/3 (+.f64 1 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)))) (.f64 (pow.f64 a 2) (+.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)))))) (.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)) 3))) 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 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 (pow.f64 a 2) (+.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))))))) (.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)) 3))) 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 (sqrt.f64 -3) rand)) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)))) (.f64 (pow.f64 a 2) (+.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)))))) (.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)) 3))) 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 -1/3 (+.f64 1 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)))) (+.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)) 3))) 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 1 (+.f64 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 (pow.f64 a 2) (+.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))))))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
(+.f64 0 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
(-.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) 0)
(*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
(-.f64 0 (neg.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))))
(*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))) 1)
(*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) 1)
(*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
(/.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) 2/3) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) 2/3)))
(/.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) 8/3) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) 8/3)))
(/.f64 (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) 4/3) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) 4/3)))
(pow.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))) 1)
(*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
(neg.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))))
(*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) 0)
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(+.f64 0 (.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 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) 0)
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(-.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) 1)
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(-.f64 0 (neg.f64 (.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 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) 1)
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 2/3 rand)) (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 2/3 rand))))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 2/3)) (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 2/3))))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) 1)
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(neg.f64 (neg.f64 (.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 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) 0)
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 -1/3 rand))))
(+.f64 0 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 -1/3 rand))))
(-.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) 0)
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 -1/3 rand))))
(-.f64 0 (neg.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 -1/3 rand))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))))) 1)
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 -1/3 rand))))
(/.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) 1)
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 -1/3 rand))))
(/.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) (/.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 -1/3 rand))))
(pow.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))) 1)
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 -1/3 rand))))
(neg.f64 (neg.f64 (.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 -1/3 rand))))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (sqrt.f64 (-.f64 a 1/3)))
✓	0.3b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (.f64 (-.f64 a 1/3) (-.f64 a 1/3)))) (.f64 rand 1/3))
	0.3b	(*.f64 rand 1/3)
✓	27.0b	(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))

Compiler

Compiled 71 to 54 computations (23.9% saved)

series3.0ms (0%)

Counts

3 → 32

Calls

12 calls:

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

rewrite295.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-simplify-49`
1190×	`rational.json-simplify-47`
708×	`rational.json-simplify-43`
692×	`rational.json-5`
690×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	97
1	126	97
2	400	63
3	1576	63
4	6382	63

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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)))) (.f64 rand 1/3))
(/.f64 1 (sqrt.f64 (-.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 (-.f64 0 (-.f64 -1 (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))) 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 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (-.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 (fabs.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) (fabs.f64 (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))) (fabs.f64 (*.f64 (/.f64 1 (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 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 (sqrt.f64 (*.f64 (-.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 a 1/3)) (sqrt.f64 (-.f64 a 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(-.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)))) (fabs.f64 (/.f64 1 (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)))) (/.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 (*.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 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 *.f64 (sqrt.f64 (*.f64 (-.f64 a 1/3) (*.f64 (*.f64 (-.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 (/.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 /.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 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 (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 (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))) (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 (neg.f64 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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 (/.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 +.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 0 (-.f64 -1 (*.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)) 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 4/3)) (*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 rand 4/3))))))) (#(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 (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 (-.f64 0 (-.f64 -1 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))) 1)))) (#(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 (/.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 (sqrt.f64 (-.f64 a 1/3)))) (*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) 1))))) (#(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 (/.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 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 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)))))))))

simplify249.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational.json-simplify-47`
1246×	`rational.json-simplify-111`
940×	`rational.json-simplify-1`
846×	`rational.json-simplify-43`
844×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2520
1	424	2512
2	789	2512
3	2538	2506
4	7913	2506

Stop Event

1×	node limit

Counts

104 → 114

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 (.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 -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 (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 (-.f64 0 (-.f64 -1 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3))))) 1)
(.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 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (-.f64 a 1/3))) 1))
(.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (-.f64 a 1/3))) (*.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) (fabs.f64 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (-.f64 a 1/3))) (fabs.f64 (*.f64 (/.f64 1 (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 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) (-.f64 a 1/3)))) 1))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) (sqrt.f64 (-.f64 a 1/3)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 a 1/3))) (neg.f64 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) (.f64 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3))) (fabs.f64 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) (fabs.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (*.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 (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)))))
(.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)))) 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 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 (/.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 (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 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)))))
(.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (.f64 (-.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 (/.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))))))
(/.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))))
(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 (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 (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))) (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 (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))) (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 (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))))) (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 (/.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 (/.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))))))
(+.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 0 (-.f64 -1 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))) 1)
(/.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 4/3)) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 4/3))))
(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 (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 (-.f64 0 (-.f64 -1 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))) 1)
(*.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 (/.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 (sqrt.f64 (-.f64 a 1/3)))) (*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) 1))
(.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 (/.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 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))))))
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) 1)
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))

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 (.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 (sqrt.f64 -1/3) (.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 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27)))))
(+.f64 (+.f64 (.f64 (sqrt.f64 -1/3) (.f64 1/3 rand)) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)))) (.f64 -1/24 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -1/27))))
(+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.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 1/6 (/.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 a rand) (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 a rand) (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 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(sqrt.f64 -3)
(+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (sqrt.f64 -3) (*.f64 -9/2 (/.f64 a (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 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (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 -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 (sqrt.f64 -3) (.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 -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 (.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 (sqrt.f64 -3) (.f64 -9/2 (/.f64 a (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 -9/2 (/.f64 a (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 (sqrt.f64 -3) (+.f64 (+.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 -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 (sqrt.f64 -3) (+.f64 (.f64 -1/2 (+.f64 (/.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 (pow.f64 a 2) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3)))) (*.f64 -9/2 (/.f64 a (sqrt.f64 -3)))))
(+.f64 (sqrt.f64 -3) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (.f64 -1/2 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3)) (/.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 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3))) 0)
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(+.f64 0 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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))) 0)
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3))))) 1)
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (-.f64 a 1/3))) 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 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 a 1/3))) (*.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 a 1/3))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 (-.f64 a 1/3))) 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 (fabs.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) (fabs.f64 (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))) (fabs.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 1 (sqrt.f64 (.f64 (-.f64 a 1/3) (-.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 (-.f64 a 1/3) (-.f64 a 1/3)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (-.f64 a 1/3) (-.f64 a 1/3)))) 1))
(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 a 1/3) (-.f64 a 1/3)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 a 1/3))) (neg.f64 (sqrt.f64 (-.f64 a 1/3))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) (.f64 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3))) (fabs.f64 (sqrt.f64 (-.f64 a 1/3)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) (fabs.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (*.f64 (-.f64 a 1/3) (-.f64 a 1/3))))))
(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))))
(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 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) (-.f64 a 1/3)))) 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 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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)))) (/.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 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))))
(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))))
(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)))) (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 a 1/3) (-.f64 a 1/3)))
(.f64 (sqrt.f64 (.f64 (-.f64 a 1/3) (.f64 (.f64 (-.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 (/.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 a 1/3) (-.f64 a 1/3)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3))) 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 a 1/3)) (sqrt.f64 (-.f64 a 1/3))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(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)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3))))
(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)))))
(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))))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (neg.f64 (sqrt.f64 (-.f64 a 1/3)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (fabs.f64 (sqrt.f64 (-.f64 a 1/3)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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)))))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(fabs.f64 (*.f64 (neg.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 (neg.f64 (sqrt.f64 (-.f64 a 1/3))) (fabs.f64 (sqrt.f64 (-.f64 a 1/3)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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)))))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.f64 a 1/3)))
(fabs.f64 (*.f64 (fabs.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 (sqrt.f64 (-.f64 a 1/3))) (neg.f64 (sqrt.f64 (-.f64 a 1/3)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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)))))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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)))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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)))))))
(sqrt.f64 (*.f64 (-.f64 a 1/3) (-.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))))))
(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))) (neg.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 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 0)
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 0)
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(-.f64 0 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))) 1)
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1)
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.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 4/3)) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 4/3))))
(/.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) (/.f64 (.f64 rand (.f64 4/3 (sqrt.f64 (-.f64 a 1/3)))) (.f64 rand (.f64 4/3 (sqrt.f64 (-.f64 a 1/3))))))
(/.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) (/.f64 (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 4/3)) (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 4/3))))
(/.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) (/.f64 (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 4/3)) (.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 4/3))))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1)
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(neg.f64 (neg.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(+.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 (-.f64 0 (-.f64 -1 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))) 1)
(/.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 (/.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 (sqrt.f64 (-.f64 a 1/3)))) (*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))) 1))
(/.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 (/.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 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)))
(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)))

eval626.0ms (5.4%)

Compiler: Compiled 16110 to 13463 computations (16.4% saved)

prune112.0ms (1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	566	1	567
Fresh	0	1	1
Picked	1	0	1
Done	0	9	9
Total	567	11	578

Error

0.0b

Counts

578 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) a) 1/3)
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	23.0b	(-.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)))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
▶	41.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) a) (*.f64 rand 1/3))
✓	40.5b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
✓	40.5b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
✓	40.8b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	23.4b	a

Compiler

Compiled 134 to 108 computations (19.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) a)
	0.3b	(/.f64 1 (sqrt.f64 (-.f64 a 1/3)))
✓	0.3b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) a) (*.f64 rand 1/3))
	0.3b	(*.f64 rand 1/3)

Compiler

Compiled 42 to 31 computations (26.2% saved)

series6.0ms (0.1%)

Counts

2 → 20

Calls

9 calls:

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

rewrite140.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`rational.json-simplify-49`
1018×	`rational.json-simplify-47`
864×	`rational.json-simplify-50`
638×	`rational.json-5`
636×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	109	58
2	345	58
3	1347	58
4	5781	58

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

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

Outputs

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

((#(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 0 (-.f64 -1 (*.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)))) 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 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))))))))))

simplify196.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1606×	`rational.json-simplify-47`
1354×	`rational.json-simplify-43`
956×	`rational.json-simplify-1`
716×	`rational.json-simplify-104`
624×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1734
1	215	1728
2	412	1728
3	970	1722
4	3334	1722
5	5940	1722

Stop Event

1×	node limit

Counts

38 → 65

Calls

Call 1

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

Outputs
(.f64 1/3 (.f64 a (*.f64 rand (sqrt.f64 -3))))
(.f64 a (.f64 (*.f64 rand (sqrt.f64 -3)) 1/3))
(.f64 a (.f64 1/3 (*.f64 rand (sqrt.f64 -3))))
(.f64 1/3 (.f64 (sqrt.f64 -3) (*.f64 a rand)))
(+.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 a (.f64 (.f64 rand (sqrt.f64 -3)) 1/3)) (.f64 -3/2 (/.f64 (*.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))))
(+.f64 (.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 -3)))) (.f64 -3/2 (/.f64 (*.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 a (.f64 rand (sqrt.f64 -3)))) (.f64 -3/2 (/.f64 (*.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) (.f64 a rand))) (.f64 -3/2 (/.f64 (*.f64 rand (pow.f64 a 2)) (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 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (pow.f64 a 3))) (sqrt.f64 -3))) (+.f64 (.f64 a (.f64 (.f64 rand (sqrt.f64 -3)) 1/3)) (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3)))))
(+.f64 (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (pow.f64 a 3))) (sqrt.f64 -3))) (.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 a (.f64 rand (sqrt.f64 -3)))) (+.f64 (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (pow.f64 a 3))) (sqrt.f64 -3)))))
(+.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) (.f64 a rand))) (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3)))) (.f64 -1/6 (/.f64 (.f64 rand (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 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)))) (.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))))))
(+.f64 (.f64 a (.f64 (.f64 rand (sqrt.f64 -3)) 1/3)) (+.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (pow.f64 a 3))) (sqrt.f64 -3)))) (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 rand (pow.f64 a 4))) (sqrt.f64 -3)))))
(+.f64 (.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 -3)))) (+.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (pow.f64 a 3))) (sqrt.f64 -3)))) (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 rand (pow.f64 a 4))) (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 rand (pow.f64 a 3))) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 rand (pow.f64 a 4))) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 a (.f64 rand (sqrt.f64 -3)))) (+.f64 (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 -1/6 (+.f64 (/.f64 (.f64 rand (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 4))) (sqrt.f64 -3)) (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (pow.f64 a 3))) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 a (.f64 rand (sqrt.f64 -3)))) (+.f64 (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 -1/6 (+.f64 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (pow.f64 a 3))) (sqrt.f64 -3)) (/.f64 (.f64 rand (.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 4))) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) (.f64 a rand))) (+.f64 (.f64 -3/2 (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 -1/6 (+.f64 (/.f64 (.f64 rand (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3))) (sqrt.f64 -3)) (/.f64 (.f64 rand (.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 4))) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 a rand)))
(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 a (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(*.f64 a (sqrt.f64 -3))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3))) (.f64 a (sqrt.f64 -3)))
(+.f64 (.f64 a (sqrt.f64 -3)) (.f64 -9/2 (/.f64 (pow.f64 a 2) (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 a (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3))) (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))))
(+.f64 (.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 a (sqrt.f64 -3)) (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))))
(+.f64 (+.f64 (.f64 a (sqrt.f64 -3)) (.f64 -9/2 (/.f64 (pow.f64 a 2) (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 (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 4)) (sqrt.f64 -3))) (+.f64 (.f64 a (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3))) (*.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3))))))
(+.f64 (.f64 a (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 4)) (sqrt.f64 -3)) (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3)))) (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3)) (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 4)) (sqrt.f64 -3)))) (+.f64 (.f64 a (sqrt.f64 -3)) (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))))
(+.f64 (+.f64 (.f64 a (sqrt.f64 -3)) (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))) (.f64 -1/2 (+.f64 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3)) (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 4)) (sqrt.f64 -3)))))
(+.f64 (.f64 a (sqrt.f64 -3)) (+.f64 (.f64 -9/2 (/.f64 (pow.f64 a 2) (sqrt.f64 -3))) (.f64 -1/2 (+.f64 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 3)) (sqrt.f64 -3)) (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (pow.f64 a 4)) (sqrt.f64 -3))))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 1/3 rand))) 0)
(.f64 a (.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 a (*.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))))
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 1/3 rand))))
(.f64 a (.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 a (*.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 1/3 rand))) 0)
(.f64 a (.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 a (*.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))))
(-.f64 0 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 1/3 rand)))))
(.f64 a (.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 a (*.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 1/3 rand))))) 1)
(.f64 a (.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 a (*.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 1/3 rand))) 1)
(.f64 a (.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 a (*.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (.f64 1/3 rand))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (.f64 rand 2/3))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 rand 2/3)))))
(/.f64 (.f64 a (.f64 (.f64 1/3 rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (.f64 rand 2/3))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 rand 2/3)))))
(/.f64 (.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 1/3 rand))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (.f64 rand 2/3))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 rand 2/3)))))
(/.f64 (.f64 1/3 (.f64 (.f64 a rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (.f64 rand 2/3))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 rand 2/3)))))
(/.f64 (.f64 1/3 (.f64 a (.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))) (/.f64 (.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 rand 2/3))) (.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 rand 2/3)))))
(/.f64 (.f64 1/3 (.f64 a (.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 (.f64 a rand) 8/3)) (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 (*.f64 a rand) 8/3))))
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 1/3 rand))) 1)
(.f64 a (.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 a (*.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))))
(neg.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (.f64 a (*.f64 1/3 rand)))))
(.f64 a (.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 a (.f64 (/.f64 1 (sqrt.f64 (-.f64 a 1/3))) (*.f64 1/3 rand)))
(.f64 1/3 (.f64 (*.f64 a rand) (/.f64 1 (sqrt.f64 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 a (*.f64 rand (/.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 0 (-.f64 -1 (*.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)))) 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))))
(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))))

eval275.0ms (2.4%)

Compiler: Compiled 2866 to 2412 computations (15.8% saved)

prune155.0ms (1.3%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	1	1
Picked	1	0	1
Done	1	8	9
Total	103	11	114

Error

Counts

114 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) a) 1/3)
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	23.0b	(-.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)))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
✓	40.5b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
	41.1b	(.f64 rand (.f64 (*.f64 1/3 a) (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
✓	40.5b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
✓	40.8b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	41.3b	(.f64 1/3 (.f64 a (*.f64 rand (/.f64 1 (sqrt.f64 (-.f64 a 1/3))))))
	23.4b	a

Compiler

Compiled 130 to 104 computations (20% saved)

regimes85.0ms (0.7%)

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

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

Calls

4 calls:

20.0ms	(-.f64 a (/.f64 1 3))
19.0ms	rand
16.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
15.0ms	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 224 to 176 computations (21.4% saved)

regimes167.0ms (1.4%)

Counts

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

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

Calls

2 calls:

131.0ms	a
31.0ms	rand

Results

Error	Segments	Branch
21.1b	2	`a`
3.7b	3	`rand`

Compiler

Compiled 72 to 53 computations (26.4% saved)

bsearch148.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	1.0723958143944554e+49	3.6239706456546585e+59
102.0ms	-3.4224680002881154e+59	-7.896794548456453e+52

Results

139.0ms

304×

body

256

valid

Compiler

Compiled 350 to 289 computations (17.4% saved)

regimes53.0ms (0.5%)

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

Calls

2 calls:

30.0ms	a
21.0ms	rand

Results

Error	Segments	Branch
21.1b	2	`a`
3.7b	3	`rand`

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch93.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	1.0723958143944554e+49	3.6239706456546585e+59
43.0ms	-3.4224680002881154e+59	-7.896794548456453e+52

Results

83.0ms

304×

body

256

valid

Compiler

Compiled 350 to 289 computations (17.4% saved)

regimes50.0ms (0.4%)

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:

27.0ms	rand
20.0ms	a

Results

Error	Segments	Branch
21.3b	2	`a`
4.0b	3	`rand`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch102.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	1.0723958143944554e+49	3.6239706456546585e+59
41.0ms	-3.4224680002881154e+59	-7.896794548456453e+52

Results

93.0ms

304×

body

256

valid

Compiler

Compiled 350 to 289 computations (17.4% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.4b remaining (-1.6%)

Threshold costs -0.4b (-1.6%)

Counts

2 → 1

Calls

Call 1

Inputs
a
(-.f64 a 1/3)

Outputs
(-.f64 a 1/3)

Calls

2 calls:

8.0ms	rand
5.0ms	a

Results

Error	Segments	Branch
23.0b	1	`a`
23.0b	1	`rand`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	256

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 a (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))) 1/3)
(if (<=.f64 rand -340000000000000005984401007477014481964786307298855391068160) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) (if (<=.f64 rand 359999999999999985347487938711546494752627127588565467267072) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -340000000000000005984401007477014481964786307298855391068160) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) (if (<=.f64 rand 820000000000000071004710470187689219957887594541980057600) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -340000000000000005984401007477014481964786307298855391068160) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 359999999999999985347487938711546494752627127588565467267072) (-.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 rand 1/3))) 1/3)
(if (<=.f64 rand -340000000000000005984401007477014481964786307298855391068160) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) (if (<=.f64 rand 359999999999999985347487938711546494752627127588565467267072) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -340000000000000005984401007477014481964786307298855391068160) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) (if (<=.f64 rand 820000000000000071004710470187689219957887594541980057600) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))))
(if (<=.f64 rand -340000000000000005984401007477014481964786307298855391068160) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 359999999999999985347487938711546494752627127588565467267072) (-.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)

soundness317.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1284×	`rational.json-simplify-47`
1062×	`rational.json-simplify-54`
820×	`rational.json-simplify-43`
686×	`rational.json-simplify-50`
678×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	23	47
2	26	47
3	27	47
0	212	4097
1	425	4091
2	815	4091
3	2427	4085
4	7323	4085

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 112 to 91 computations (18.8% saved)

end77.0ms (0.7%)

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

Details

analyze106.0ms (0.9%)

sample3.9s (33.2%)

preprocess142.0ms (1.2%)

simplify28.0ms (0.2%)

eval2.0ms (0%)

prune2.0ms (0%)

localize50.0ms (0.4%)

series24.0ms (0.2%)

rewrite188.0ms (1.6%)

simplify241.0ms (2.1%)

eval119.0ms (1%)

prune33.0ms (0.3%)

localize24.0ms (0.2%)

series7.0ms (0.1%)

rewrite140.0ms (1.2%)

simplify230.0ms (2%)

localize3.0ms (0%)

localize14.0ms (0.1%)

series3.0ms (0%)

rewrite112.0ms (1%)

simplify171.0ms (1.5%)

localize25.0ms (0.2%)

localize23.0ms (0.2%)

series1.0ms (0%)

rewrite116.0ms (1%)

simplify413.0ms (3.6%)

eval376.0ms (3.2%)

prune79.0ms (0.7%)

localize73.0ms (0.6%)

series4.0ms (0%)

rewrite260.0ms (2.2%)

simplify219.0ms (1.9%)

localize13.0ms (0.1%)

localize41.0ms (0.3%)

series10.0ms (0.1%)

rewrite349.0ms (3%)

simplify308.0ms (2.7%)

localize29.0ms (0.3%)

series3.0ms (0%)

rewrite246.0ms (2.1%)

simplify294.0ms (2.5%)

localize33.0ms (0.3%)

series3.0ms (0%)

rewrite295.0ms (2.5%)

simplify249.0ms (2.1%)

eval626.0ms (5.4%)

prune112.0ms (1%)

localize20.0ms (0.2%)

series6.0ms (0.1%)

rewrite140.0ms (1.2%)

simplify196.0ms (1.7%)

eval275.0ms (2.4%)

prune155.0ms (1.3%)

regimes85.0ms (0.7%)

regimes167.0ms (1.4%)

bsearch148.0ms (1.3%)

regimes53.0ms (0.5%)

bsearch93.0ms (0.8%)

regimes50.0ms (0.4%)

bsearch102.0ms (0.9%)

regimes14.0ms (0.1%)

simplify11.0ms (0.1%)

soundness317.0ms (2.7%)

end77.0ms (0.7%)

Profiling