Details

analyze284.0ms (1.1%)

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%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	95.2%	0.1%	0%	4.7%	0%	7
6.6%	6.2%	88.2%	0.1%	0%	5.5%	0%	8
11.2%	10.1%	80.4%	0.1%	1.2%	8.2%	0%	9
17.4%	15.2%	72.2%	0.1%	1.4%	11.1%	0%	10
26.2%	22.2%	62.5%	0.1%	2.1%	13%	0%	11
35.6%	29.1%	52.5%	0.1%	3.3%	15.1%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.7s (6.7%)

Results

664.0ms	5627×	body	256	valid
396.0ms	1130×	body	2048	valid
197.0ms	721×	body	1024	valid
195.0ms	443×	body	4096	valid
134.0ms	1229×	body	256	invalid
67.0ms	335×	body	512	valid
42.0ms	374×	body	256	infinite

Bogosity

preprocess2.8s (11%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 a 2) (*.f64 b_2 c))) a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 c 2) (*.f64 a b_2))) c) a)

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify1.4s (5.5%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a)

eval1.0ms (0%)

Compiler: Compiled 28 to 16 computations (42.9% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

34.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.6b	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	22.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series209.0ms (0.8%)

Counts

4 → 87

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
3.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	c	@	-inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 19850 to 12200 computations (38.5% saved)

rewrite1.5s (6%)

Algorithm

1×	batch-egg-rewrite

Rules

80×	`egg-rr`
70×	`egg-rr`
70×	`egg-rr`
55×	`egg-rr`

Counts

4 → 275

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3) 0) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))) 0) (-.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (fabs.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3) 0)) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3)) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3) (.f64 0 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (+.f64 0 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) 0) (-.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (-.f64 3 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (/.f64 4 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 0) (/.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 3) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2)) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 0) (/.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3) 0) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (/.f64 1 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3))) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) -1)) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) 0) (/.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2/3) (/.f64 1 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) -1)) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 0) (.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (+.f64 1 (/.f64 0 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2) 0) (/.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 3) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2)) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 3) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 2)) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) 3) 3)))))
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(sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 (/.f64 0 a) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 0 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 0 (neg.f64 a)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 a)) 3) (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 a)) (/.f64 0 (neg.f64 a))) (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 (/.f64 0 (neg.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 a -1) (neg.f64 b_2)) (.f64 (pow.f64 a -1) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 a -1) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (.f64 (pow.f64 a -1) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (neg.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 a) (/.f64 0 (neg.f64 a))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 a) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (neg.f64 a))) (/.f64 b_2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (neg.f64 a))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (neg.f64 a))) (/.f64 b_2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (neg.f64 a)) (/.f64 0 (neg.f64 a))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) (neg.f64 a))) (/.f64 b_2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))))))

simplify5.2s (20%)

Algorithm

1×

egglog

Counts

362 → 453

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (*.f64 c a)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 b_2) 5) (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 c a)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (*.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/4 (.f64 c (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 a (pow.f64 (/.f64 -1 b_2) 5))))) (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (*.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3))))))
(sqrt.f64 (pow.f64 b_2 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (sqrt.f64 (pow.f64 b_2 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (*.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 a 2)) (sqrt.f64 (pow.f64 b_2 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 a 2)) (sqrt.f64 (pow.f64 b_2 2)))) (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 3) (pow.f64 (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2))) (.f64 (sqrt.f64 (pow.f64 b_2 2)) (pow.f64 (sqrt.f64 (pow.f64 b_2 2)) 2)))))))
(sqrt.f64 (pow.f64 b_2 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (sqrt.f64 (pow.f64 b_2 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 c 2)) (sqrt.f64 (pow.f64 b_2 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 c 2)) (sqrt.f64 (pow.f64 b_2 2)))) (.f64 -1/4 (/.f64 (.f64 a (.f64 (pow.f64 c 3) (pow.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2))) (.f64 (sqrt.f64 (pow.f64 b_2 2)) (pow.f64 (sqrt.f64 (pow.f64 b_2 2)) 2)))))))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 -1 b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 b_2) 5) (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 c a)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 (pow.f64 a 2) (pow.f64 c 2)))) (pow.f64 (.f64 -1/2 (pow.f64 (.f64 -1/2 (.f64 c a)) 2)) 2)) (pow.f64 (/.f64 1 b_2) 7))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 b_2) 5) (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 c a)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (*.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3)))))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/4 (.f64 c (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 a (pow.f64 (/.f64 -1 b_2) 5))))) (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (*.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3))))))
(-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (sqrt.f64 (pow.f64 b_2 2))) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (*.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 a 2)) (sqrt.f64 (pow.f64 b_2 2)))))) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 a 2)) (sqrt.f64 (pow.f64 b_2 2)))) (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 3) (pow.f64 (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2))) (.f64 (sqrt.f64 (pow.f64 b_2 2)) (pow.f64 (sqrt.f64 (pow.f64 b_2 2)) 2))))))) b_2)
(-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (sqrt.f64 (pow.f64 b_2 2))) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 c 2)) (sqrt.f64 (pow.f64 b_2 2)))))) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 c 2)) (sqrt.f64 (pow.f64 b_2 2)))) (.f64 -1/4 (/.f64 (.f64 a (.f64 (pow.f64 c 3) (pow.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2))) (.f64 (sqrt.f64 (pow.f64 b_2 2)) (pow.f64 (sqrt.f64 (pow.f64 b_2 2)) 2))))))) b_2)
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 (/.f64 1 b_2) -2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 1 b_2) -2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 1 b_2) -2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 1 b_2) -2))
(pow.f64 (/.f64 -1 b_2) -2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 -1 b_2) -2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 -1 b_2) -2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 -1 b_2) -2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3)) a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3)) a)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 b_2) 5) (.f64 c (pow.f64 (.f64 -1/2 (.f64 c a)) 2)))) (.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 (pow.f64 a 2) (pow.f64 c 2)))) (pow.f64 (.f64 -1/2 (pow.f64 (.f64 -1/2 (.f64 c a)) 2)) 2)) (pow.f64 (/.f64 1 b_2) 7)) a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3)) a)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 b_2) 5) (.f64 c (pow.f64 (.f64 -1/2 (.f64 c a)) 2)))) (.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3)) a)) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3)) a)) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 c b_2)) (.f64 -1/4 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (*.f64 c (pow.f64 (/.f64 -1 b_2) 5)))))))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2) a)
(-.f64 (+.f64 (/.f64 (sqrt.f64 (pow.f64 b_2 2)) a) (*.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2))))) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2)) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (/.f64 (sqrt.f64 (pow.f64 b_2 2)) a) (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))))) (/.f64 b_2 a))
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(+.f64 (.f64 (pow.f64 a -1) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (*.f64 (pow.f64 a -1) (neg.f64 b_2)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
(+.f64 (/.f64 0 a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(+.f64 (/.f64 0 (neg.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(+.f64 (-.f64 (/.f64 0 a) (/.f64 0 (neg.f64 a))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(+.f64 (-.f64 (/.f64 0 a) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) (neg.f64 a))) (/.f64 b_2 (neg.f64 a)))
(+.f64 (-.f64 0 (/.f64 0 (neg.f64 a))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(+.f64 (-.f64 0 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) (neg.f64 a))) (/.f64 b_2 (neg.f64 a)))
(+.f64 (-.f64 (/.f64 0 (neg.f64 a)) (/.f64 0 (neg.f64 a))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(+.f64 (-.f64 (/.f64 0 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) (neg.f64 a))) (/.f64 b_2 (neg.f64 a)))
(+.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))

Outputs
(sqrt.f64 (neg.f64 (*.f64 c a)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 b_2 (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (pow.f64 b_2 3)) (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 b_2) 5) (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 c a)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/4 (.f64 (.f64 (pow.f64 (pow.f64 b_2 -1) 5) (pow.f64 (.f64 (.f64 -1/2 c) a) 2)) (.f64 c a)) (+.f64 b_2 (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(-.f64 (/.f64 (/.f64 (*.f64 c a) b_2) 2) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (*.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (pow.f64 b_2 3))))) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/4 (.f64 c (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 a (pow.f64 (/.f64 -1 b_2) 5))))) (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (*.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 -1/4 (.f64 c (.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (.f64 a (pow.f64 (/.f64 -1 b_2) 5)))) (.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (.f64 (*.f64 -1/2 c) a) 2) (pow.f64 b_2 3)))))) b_2)
(sqrt.f64 (pow.f64 b_2 2))
(fabs.f64 b_2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (sqrt.f64 (pow.f64 b_2 2)))
(fma.f64 -1/2 (/.f64 (*.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (*.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 a 2)) (sqrt.f64 (pow.f64 b_2 2))))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) (pow.f64 a 2)) (fabs.f64 b_2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 a 2)) (sqrt.f64 (pow.f64 b_2 2)))) (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 3) (pow.f64 (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2))) (.f64 (sqrt.f64 (pow.f64 b_2 2)) (pow.f64 (sqrt.f64 (pow.f64 b_2 2)) 2)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) (pow.f64 a 2)) (fabs.f64 b_2)) (.f64 -1/4 (/.f64 (.f64 (.f64 c (pow.f64 a 3)) (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)) (pow.f64 (fabs.f64 b_2) 3)))))
(sqrt.f64 (pow.f64 b_2 2))
(fabs.f64 b_2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (sqrt.f64 (pow.f64 b_2 2)))
(fma.f64 -1/2 (/.f64 (*.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 c 2)) (sqrt.f64 (pow.f64 b_2 2))))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) (/.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 (.f64 -1/2 a) (fabs.f64 b_2)) 2) (pow.f64 c 2))) (fabs.f64 b_2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 c 2)) (sqrt.f64 (pow.f64 b_2 2)))) (.f64 -1/4 (/.f64 (.f64 a (.f64 (pow.f64 c 3) (pow.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2))) (.f64 (sqrt.f64 (pow.f64 b_2 2)) (pow.f64 (sqrt.f64 (pow.f64 b_2 2)) 2)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 -1/2 a) (fabs.f64 b_2)) 2) (pow.f64 c 2)) (fabs.f64 b_2)) (.f64 -1/4 (/.f64 (.f64 (.f64 a (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 -1/2 a) (fabs.f64 b_2)) 2)) (pow.f64 (fabs.f64 b_2) 3)))))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(+.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 -1 b_2))
(-.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) b_2)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(/.f64 (.f64 (.f64 -1/2 c) a) b_2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (pow.f64 b_2 3)) (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 b_2) 5) (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 c a)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/4 (.f64 (.f64 (pow.f64 (pow.f64 b_2 -1) 5) (pow.f64 (.f64 (.f64 -1/2 c) a) 2)) (.f64 c a)) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 (pow.f64 a 2) (pow.f64 c 2)))) (pow.f64 (.f64 -1/2 (pow.f64 (.f64 -1/2 (.f64 c a)) 2)) 2)) (pow.f64 (/.f64 1 b_2) 7))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 b_2) 5) (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 c a)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/2 (.f64 (fma.f64 1/4 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 (.f64 -1/2 c) a) 2)) (pow.f64 (.f64 -1/2 (pow.f64 (.f64 (.f64 -1/2 c) a) 2)) 2)) (pow.f64 (pow.f64 b_2 -1) 7)) (fma.f64 -1/4 (.f64 (.f64 (pow.f64 (pow.f64 b_2 -1) 5) (pow.f64 (.f64 (.f64 -1/2 c) a) 2)) (.f64 c a)) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (/.f64 (/.f64 (*.f64 c a) b_2) 2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (*.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3)))))
(fma.f64 -2 b_2 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (pow.f64 b_2 3))))))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b_2)) (+.f64 (.f64 -1/4 (.f64 c (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 a (pow.f64 (/.f64 -1 b_2) 5))))) (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (*.f64 c a)) 2) (pow.f64 (/.f64 -1 b_2) 3))))))
(fma.f64 -2 b_2 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 -1/4 (.f64 c (.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (.f64 a (pow.f64 (/.f64 -1 b_2) 5)))) (.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (.f64 (*.f64 -1/2 c) a) 2) (pow.f64 b_2 3)))))))
(-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2)
(-.f64 (fabs.f64 b_2) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (sqrt.f64 (pow.f64 b_2 2))) b_2)
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (*.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 a 2)) (sqrt.f64 (pow.f64 b_2 2)))))) b_2)
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) (-.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) (pow.f64 a 2)) (fabs.f64 b_2))) b_2))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 a 2)) (sqrt.f64 (pow.f64 b_2 2)))) (.f64 -1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 3) (pow.f64 (.f64 -1/2 (/.f64 c (sqrt.f64 (pow.f64 b_2 2)))) 2))) (.f64 (sqrt.f64 (pow.f64 b_2 2)) (pow.f64 (sqrt.f64 (pow.f64 b_2 2)) 2))))))) b_2)
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) (-.f64 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) (pow.f64 a 2)) (fabs.f64 b_2)) (.f64 -1/4 (/.f64 (.f64 (.f64 c (pow.f64 a 3)) (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)) (pow.f64 (fabs.f64 b_2) 3)))) b_2))
(-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2)
(-.f64 (fabs.f64 b_2) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (sqrt.f64 (pow.f64 b_2 2))) b_2)
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 c 2)) (sqrt.f64 (pow.f64 b_2 2)))))) b_2)
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) (/.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 (.f64 -1/2 a) (fabs.f64 b_2)) 2) (pow.f64 c 2))) (fabs.f64 b_2))) b_2)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 c a) (sqrt.f64 (pow.f64 b_2 2)))) (+.f64 (sqrt.f64 (pow.f64 b_2 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2) (pow.f64 c 2)) (sqrt.f64 (pow.f64 b_2 2)))) (.f64 -1/4 (/.f64 (.f64 a (.f64 (pow.f64 c 3) (pow.f64 (.f64 -1/2 (/.f64 a (sqrt.f64 (pow.f64 b_2 2)))) 2))) (.f64 (sqrt.f64 (pow.f64 b_2 2)) (pow.f64 (sqrt.f64 (pow.f64 b_2 2)) 2))))))) b_2)
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c a) (fabs.f64 b_2)) (fabs.f64 b_2)) (-.f64 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 -1/2 a) (fabs.f64 b_2)) 2) (pow.f64 c 2)) (fabs.f64 b_2)) (.f64 -1/4 (/.f64 (.f64 (.f64 a (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 -1/2 a) (fabs.f64 b_2)) 2)) (pow.f64 (fabs.f64 b_2) 3)))) b_2))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 (/.f64 1 b_2) -2)
(pow.f64 (pow.f64 b_2 -1) -2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 1 b_2) -2))
(-.f64 (pow.f64 (pow.f64 b_2 -1) -2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 1 b_2) -2))
(-.f64 (pow.f64 (pow.f64 b_2 -1) -2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 1 b_2) -2))
(-.f64 (pow.f64 (pow.f64 b_2 -1) -2) (*.f64 c a))
(pow.f64 (/.f64 -1 b_2) -2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 -1 b_2) -2))
(-.f64 (pow.f64 (/.f64 -1 b_2) -2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 -1 b_2) -2))
(-.f64 (pow.f64 (/.f64 -1 b_2) -2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 (/.f64 -1 b_2) -2))
(-.f64 (pow.f64 (/.f64 -1 b_2) -2) (*.f64 c a))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(-.f64 (pow.f64 b_2 2) (*.f64 c a))
(.f64 -1 (.f64 c a))
(neg.f64 (*.f64 c a))
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(if (!=.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a)))) a) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a))
(if (!=.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 0 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))
(if (!=.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a)))) a) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a))
(if (!=.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 a)) 3) (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 a)) (/.f64 0 (neg.f64 a))) (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 (/.f64 0 (neg.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(if (!=.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a)))) a) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a))
(if (!=.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a)) (+.f64 (.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) (/.f64 b_2 a)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3)) (+.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a)) (+.f64 (.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) (/.f64 b_2 a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) a) 2) (/.f64 (.f64 b_2 (+.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2)) (pow.f64 a 2))) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) 3) (pow.f64 b_2 3)) (pow.f64 a 3)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) a) 2) (/.f64 (.f64 b_2 (+.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2)) (pow.f64 a 2)))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 a) (/.f64 0 a)) (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 (/.f64 0 a) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 a) 3) (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a) 3)) (+.f64 (.f64 (/.f64 0 a) (/.f64 0 a)) (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 (/.f64 0 a) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))
(if (!=.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 0 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a)))) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 0 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))
(if (!=.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 (neg.f64 a)) (/.f64 0 (neg.f64 a))) (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 (/.f64 0 (neg.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 a)) 3) (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 a)) (/.f64 0 (neg.f64 a))) (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 (/.f64 0 (neg.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))
(if (!=.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a))
(if (!=.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3)) (+.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a)) (+.f64 (.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) a) (/.f64 b_2 a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(if (!=.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) a) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) 3) (pow.f64 b_2 3)) (pow.f64 a 3)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) a) 2) (/.f64 (.f64 b_2 (+.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2)) (pow.f64 a 2)))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a))
(if (!=.f64 (/.f64 0 a) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 a) 3) (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a) 3)) (+.f64 (.f64 (/.f64 0 a) (/.f64 0 a)) (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 (/.f64 0 a) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 0 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a))
(if (!=.f64 (/.f64 0 (neg.f64 a)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 a)) 3) (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 a)) (/.f64 0 (neg.f64 a))) (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2) (.f64 (/.f64 0 (neg.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) a))))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 3) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a) 2)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) a) (/.f64 (neg.f64 b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (.f64 (pow.f64 a -1) (neg.f64 b_2)) (.f64 (pow.f64 a -1) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (.f64 (pow.f64 a -1) (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))) (*.f64 (pow.f64 a -1) (neg.f64 b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (/.f64 0 a) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (/.f64 0 (neg.f64 a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (-.f64 (/.f64 0 a) (/.f64 0 (neg.f64 a))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (-.f64 (/.f64 0 a) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) (neg.f64 a))) (/.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (-.f64 0 (/.f64 0 (neg.f64 a))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (-.f64 0 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) (neg.f64 a))) (/.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (-.f64 (/.f64 0 (neg.f64 a)) (/.f64 0 (neg.f64 a))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 (-.f64 (/.f64 0 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) (neg.f64 a))) (/.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)
(+.f64 0 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a)

eval192.0ms (0.7%)

Compiler: Compiled 14061 to 8044 computations (42.8% saved)

prune105.0ms (0.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	427	26	453
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	427	27	454

Error

5.7b

Counts

454 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	34.1b	(if (!=.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) 0) (/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 c a))) b_2) a))
	34.4b	(if (!=.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2)) 0) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) 2)) (/.f64 a (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2)))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 c a))) b_2) a))
	53.5b	(/.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/4 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 (.f64 -1/2 c) a) 2)) (pow.f64 (.f64 -1/2 (pow.f64 (.f64 (.f64 -1/2 c) a) 2)) 2)) (pow.f64 (pow.f64 b_2 -1) 7)) (fma.f64 -1/4 (.f64 (.f64 (pow.f64 (pow.f64 b_2 -1) 5) (pow.f64 (.f64 (.f64 -1/2 c) a) 2)) (.f64 c a)) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 -1/2 c) a) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 c a) b_2))))) a)
	44.6b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 a))
	47.1b	(/.f64 (/.f64 (.f64 (.f64 -1/2 c) a) b_2) a)
	42.8b	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) b_2) a)
	52.2b	(/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 b_2) 5) (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (.f64 c a)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 -1/2 (.f64 c a)) 2) (pow.f64 (/.f64 1 b_2) 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))) a)
	45.7b	(/.f64 (+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
▶	57.2b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))) a)
	43.8b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 (neg.f64 a) (cbrt.f64 c)) (cbrt.f64 (pow.f64 c 2)) (pow.f64 b_2 2)))) a)
	34.0b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) a)
	35.1b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) 3))) a)
✓	34.0b	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	57.5b	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	42.7b	(/.f64 (*.f64 -1/2 c) b_2)
▶	44.6b	(/.f64 (*.f64 -2 b_2) a)
	42.6b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) 3)) a)
	34.3b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) a) (/.f64 b_2 a))
	30.5b	(+.f64 (.f64 -1/2 (/.f64 (+.f64 c (/.f64 (.f64 (pow.f64 (/.f64 (*.f64 -1/2 a) (fabs.f64 b_2)) 2) (pow.f64 c 2)) a)) (fabs.f64 b_2))) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))
▶	26.4b	(+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
	44.9b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	44.6b	(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) (cbrt.f64 a)) (/.f64 1 (cbrt.f64 (pow.f64 a 2))))
	34.4b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) 2)) a) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2)))
	34.1b	(.f64 (/.f64 -1 a) (-.f64 b_2 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c)))))
	44.2b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (.f64 a c))) b_2) a) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a)))
	46.2b	(.f64 -1/2 (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (*.f64 -1/2 c) a) 2) (pow.f64 b_2 3)) a) (/.f64 c b_2)))
▶	49.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) b_2) a) 3))

Compiler

Compiled 1290 to 878 computations (31.9% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)
✓	2.6b	(/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))
✓	6.6b	(.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2))
✓	6.9b	(+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))

Compiler

Compiled 117 to 58 computations (50.4% saved)

series87.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	b_2	@	inf	(+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
1.0ms	b_2	@	-inf	(+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
1.0ms	b_2	@	0	(+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
1.0ms	a	@	0	(+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
1.0ms	c	@	0	(+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))

Compiler

Compiled 10890 to 6380 computations (41.4% saved)

rewrite1.6s (6%)

Algorithm

1×	batch-egg-rewrite

Rules

72×	`egg-rr`
42×	`egg-rr`
34×	`egg-rr`
31×	`egg-rr`

Counts

4 → 179

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2))
(/.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (fabs.f64 b_2))
(pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) c)) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) c)) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) c)) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)) 2)) (cbrt.f64 (+.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) c)) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) c)) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) c)) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (.f64 (.f64 -1/2 a) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (.f64 a (fabs.f64 b_2))) (.f64 (fabs.f64 b_2) (fma.f64 (.f64 -1/2 c) a (.f64 b_2 (-.f64 b_2 (fabs.f64 b_2)))))) (/.f64 1 (.f64 (fabs.f64 b_2) (.f64 a (fabs.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (fma.f64 (.f64 -1/2 c) a (.f64 b_2 (-.f64 b_2 (fabs.f64 b_2)))) (fabs.f64 b_2)) (.f64 (.f64 a (fabs.f64 b_2)) (.f64 (.f64 -1/2 a) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)))) (/.f64 1 (.f64 (.f64 a (fabs.f64 b_2)) (fabs.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))) 2))) (-.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)) 2)) (.f64 (cbrt.f64 (.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))))) (cbrt.f64 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))))) (+.f64 (cbrt.f64 (.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))))) (cbrt.f64 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)) 2)) (-.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))) 2))) (.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))) (cbrt.f64 (.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)))))))) (+.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))) (cbrt.f64 (.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)))) (/.f64 (-.f64 b_2 (fabs.f64 b_2)) a)) (/.f64 (.f64 c 1/2) (fabs.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (fabs.f64 b_2) a)) (-.f64 (/.f64 b_2 a) (.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)))) (/.f64 (fabs.f64 b_2) a)) (+.f64 (/.f64 b_2 a) (/.f64 (.f64 c 1/2) (fabs.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) c)) (fabs.f64 b_2)) (/.f64 (fabs.f64 b_2) a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 -1/2 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(fabs.f64 b_2)) (.f64 (.f64 -1/2 a) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)))) (.f64 (.f64 a (fabs.f64 b_2)) (fabs.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 -1/2 (+.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) c)) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 -1/2 a) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (.f64 a (fabs.f64 b_2))) (.f64 (fabs.f64 b_2) (fma.f64 (.f64 -1/2 c) a (.f64 b_2 (-.f64 b_2 (fabs.f64 b_2))))))) (neg.f64 (.f64 (fabs.f64 b_2) (.f64 a (fabs.f64 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 (fma.f64 (.f64 -1/2 c) a (.f64 b_2 (-.f64 b_2 (fabs.f64 b_2)))) (fabs.f64 b_2)) (.f64 (.f64 a (fabs.f64 b_2)) (.f64 (.f64 -1/2 a) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2))))) (neg.f64 (.f64 (.f64 a (fabs.f64 b_2)) (fabs.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))))) (cbrt.f64 (.f64 1/4 (pow.f64 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))) 2))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)) 2)) (.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))) (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))) -1/2 (+.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 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simplify6.1s (23.6%)

Algorithm

1×

egglog

Counts

311 → 270

Calls

Call 1

Inputs
(/.f64 (-.f64 (fabs.f64 b_2) b_2) a)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a)) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (*.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (.f64 -1/2 (/.f64 c (fabs.f64 b_2))))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (*.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (.f64 -1/2 (/.f64 c (fabs.f64 b_2))))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(-.f64 (/.f64 (fabs.f64 b_2) a) (/.f64 b_2 a))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a)) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 1 c) -2) a) (*.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2))))
(+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (*.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2))))
(+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (/.f64 (fabs.f64 b_2) a) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))))) (/.f64 b_2 a))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (/.f64 (fabs.f64 b_2) a) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))))) (/.f64 b_2 a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a)))
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(neg.f64 (.f64 (/.f64 (.f64 a (neg.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2))) (fabs.f64 b_2)) 1))
(if (!=.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) 0) (/.f64 a (/.f64 (fabs.f64 b_2) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2))) (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))))
(if (!=.f64 a 0) (/.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) (/.f64 (fabs.f64 b_2) a)) (.f64 a (/.f64 (*.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) 2)) 0) (/.f64 (cbrt.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2))) (/.f64 (fabs.f64 b_2) (cbrt.f64 (pow.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) 2)))) (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))))
(if (!=.f64 (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) 0) (pow.f64 (/.f64 (fabs.f64 b_2) (.f64 a (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2))) -1) (.f64 a (/.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 c 2))) (.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 c 2))) (fabs.f64 b_2)) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 c 2))) (fabs.f64 b_2))))
(.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)))
(.f64 (neg.f64 (.f64 1/4 (pow.f64 c 2))) (/.f64 1 (neg.f64 (pow.f64 b_2 2))))
(.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) 1)
(.f64 (.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (.f64 -1/2 c)) (/.f64 1 (fabs.f64 b_2)))
(.f64 (.f64 (.f64 -1/2 c) (/.f64 (.f64 -1/2 c) (fabs.f64 b_2))) (/.f64 1 (fabs.f64 b_2)))
(.f64 (.f64 1/4 (pow.f64 c 2)) (/.f64 1 (pow.f64 b_2 2)))
(.f64 1 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2) 2)))
(.f64 (.f64 1/4 (pow.f64 c 2)) (pow.f64 (/.f64 1 (fabs.f64 b_2)) 2))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) 2)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)))
(.f64 (.f64 -1/2 c) (.f64 (/.f64 1 (fabs.f64 b_2)) (/.f64 (.f64 -1/2 c) (fabs.f64 b_2))))
(.f64 (cbrt.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2)) (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2))))
(.f64 (.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (cbrt.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)))
(.f64 (.f64 (.f64 c 1/2) (/.f64 (.f64 -1/2 c) (fabs.f64 b_2))) (/.f64 -1 (fabs.f64 b_2)))
(.f64 (.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (.f64 c 1/2)) (/.f64 -1 (fabs.f64 b_2)))
(.f64 (pow.f64 c 2) (.f64 (/.f64 -1/2 (fabs.f64 b_2)) (/.f64 -1/2 (fabs.f64 b_2))))
(.f64 (.f64 1/4 (pow.f64 c 2)) (*.f64 (/.f64 -1 (fabs.f64 b_2)) (/.f64 -1 (fabs.f64 b_2))))
(.f64 (.f64 (cbrt.f64 (/.f64 -1/8 (fabs.f64 b_2))) (cbrt.f64 (/.f64 -1/8 (fabs.f64 b_2)))) (*.f64 (/.f64 c (cbrt.f64 (pow.f64 b_2 2))) (/.f64 c (cbrt.f64 (pow.f64 b_2 2)))))
(.f64 1/4 (.f64 (/.f64 c (fabs.f64 b_2)) (/.f64 c (fabs.f64 b_2))))
(.f64 (.f64 (/.f64 c (cbrt.f64 (fabs.f64 b_2))) (/.f64 c (cbrt.f64 (fabs.f64 b_2)))) (*.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 b_2 2))) (/.f64 -1/2 (cbrt.f64 (pow.f64 b_2 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fabs.f64 b_2))) 2) (.f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 (pow.f64 b_2 2))) (/.f64 (.f64 -1/2 c) (cbrt.f64 (pow.f64 b_2 2)))))
(.f64 (pow.f64 (/.f64 1 (fabs.f64 b_2)) 2) (.f64 1/4 (pow.f64 c 2)))
(.f64 (/.f64 (.f64 c 1/2) (fabs.f64 b_2)) (/.f64 (*.f64 c 1/2) (fabs.f64 b_2)))
(/.f64 (neg.f64 (*.f64 1/4 (pow.f64 c 2))) (neg.f64 (pow.f64 b_2 2)))
(/.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2) 1)
(/.f64 (.f64 (.f64 c 1/2) (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2))) (neg.f64 (fabs.f64 b_2)))
(/.f64 (.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (*.f64 c 1/2)) (neg.f64 (fabs.f64 b_2)))
(/.f64 (.f64 (.f64 -1/2 c) (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2))) (fabs.f64 b_2))
(/.f64 (.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (*.f64 -1/2 c)) (fabs.f64 b_2))
(/.f64 (*.f64 1/4 (pow.f64 c 2)) (pow.f64 b_2 2))
(/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)) -1)
(/.f64 (neg.f64 (.f64 (.f64 c 1/2) (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)))) (fabs.f64 b_2))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) (*.f64 c 1/2))) (fabs.f64 b_2))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 3) 2) 1/3)
(pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)
(pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2) 1)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 3) 2))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 3) 2) 1))
(neg.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)))
(if (!=.f64 1 0) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2))

Outputs
(/.f64 (-.f64 (fabs.f64 b_2) b_2) a)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a)) (/.f64 b_2 a))
(fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (*.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2))))
(/.f64 (.f64 -1/8 (.f64 a (pow.f64 c 2))) (pow.f64 (fabs.f64 b_2) 3))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (.f64 -1/2 (/.f64 c (fabs.f64 b_2))))
(fma.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (*.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2))))
(/.f64 (.f64 -1/8 (.f64 a (pow.f64 c 2))) (pow.f64 (fabs.f64 b_2) 3))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (.f64 -1/2 (/.f64 c (fabs.f64 b_2))))
(fma.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(-.f64 (/.f64 (fabs.f64 b_2) a) (/.f64 b_2 a))
(/.f64 (-.f64 (fabs.f64 b_2) b_2) a)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a)) (/.f64 b_2 a))
(fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 1 c) -2) a) (*.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2))))
(/.f64 (.f64 -1/8 (.f64 (pow.f64 (pow.f64 c -1) -2) a)) (pow.f64 (fabs.f64 b_2) 3))
(+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))))
(fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (.f64 -1/8 (.f64 (pow.f64 (pow.f64 c -1) -2) a)) (pow.f64 (fabs.f64 b_2) 3)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(+.f64 (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (.f64 -1/8 (.f64 (pow.f64 (pow.f64 c -1) -2) a)) (pow.f64 (fabs.f64 b_2) 3))) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (/.f64 (fabs.f64 b_2) a))) (/.f64 b_2 a))
(+.f64 (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (.f64 -1/8 (.f64 (pow.f64 (pow.f64 c -1) -2) a)) (pow.f64 (fabs.f64 b_2) 3))) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (*.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2))))
(.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (pow.f64 (fabs.f64 b_2) 3)))
(+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))))
(fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (pow.f64 (fabs.f64 b_2) 3))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (/.f64 (fabs.f64 b_2) a) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))))) (/.f64 b_2 a))
(+.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (pow.f64 (fabs.f64 b_2) 3))) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)) (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (/.f64 (fabs.f64 b_2) a) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))))) (/.f64 b_2 a))
(+.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (/.f64 -1 c) -2) a) (pow.f64 (fabs.f64 b_2) 3))) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)) (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (/.f64 (fabs.f64 b_2) a)))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (fabs.f64 b_2) a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (/.f64 (fabs.f64 b_2) a) (*.f64 -1 (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (/.f64 (fabs.f64 b_2) a) (*.f64 -1 (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 c 2)) (.f64 (fabs.f64 b_2) (pow.f64 (fabs.f64 b_2) 2)))) (+.f64 (.f64 -1/2 (/.f64 c (fabs.f64 b_2))) (+.f64 (/.f64 (fabs.f64 b_2) a) (*.f64 -1 (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 (fabs.f64 b_2) 3)) (fma.f64 -1/2 (/.f64 c (fabs.f64 b_2)) (/.f64 (-.f64 (fabs.f64 b_2) b_2) a)))
(*.f64 -1 (/.f64 b_2 a))
(/.f64 b_2 (neg.f64 a))
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(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 3) 2) 1))
(pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)
(neg.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)))
(pow.f64 (/.f64 (*.f64 -1/2 c) (fabs.f64 b_2)) 2)
(if (!=.f64 1 0) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2) (pow.f64 (/.f64 (.f64 -1/2 c) (fabs.f64 b_2)) 2))

localize6.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))
✓	2.7b	(+.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2)))
✓	3.4b	(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))) a)
✓	4.7b	(/.f64 (.f64 (.f64 -1/2 c) a) b_2)

Compiler

Compiled 59 to 32 computations (45.8% saved)

series38.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 (.f64 (.f64 -1/2 c) a) b_2)
1.0ms	c	@	0	(/.f64 (.f64 (.f64 -1/2 c) a) b_2)
1.0ms	c	@	inf	(/.f64 (.f64 (.f64 -1/2 c) a) b_2)
1.0ms	b_2	@	inf	(/.f64 (.f64 (.f64 -1/2 c) a) b_2)
1.0ms	b_2	@	0	(/.f64 (.f64 (.f64 -1/2 c) a) b_2)

Compiler

Compiled 4850 to 1570 computations (67.6% saved)

rewrite1.5s (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

137×	`egg-rr`
137×	`egg-rr`
55×	`egg-rr`
51×	`egg-rr`

Counts

4 → 380

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 -1/2 c) a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))) a)
(+.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 1/2 (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2) 2)) (+.f64 (cbrt.f64 (pow.f64 b_2 2)) (.f64 (cbrt.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2)) (cbrt.f64 b_2)))) (-.f64 (cbrt.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2)) (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 b_2 2)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2) 2)) (cbrt.f64 (.f64 b_2 (neg.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2)))))) (+.f64 (neg.f64 (cbrt.f64 b_2)) (cbrt.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2) 2)) (-.f64 (cbrt.f64 (pow.f64 b_2 2)) (cbrt.f64 (.f64 b_2 (neg.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2)))))) (+.f64 (cbrt.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2)) (neg.f64 (cbrt.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 1/2 (.f64 c a)) b_2))) (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 2)) (cbrt.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -1/2 (.f64 c a)) (cbrt.f64 b_2)) (/.f64 1 (cbrt.f64 (pow.f64 b_2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2)) (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b_2 -1) (.f64 -1/2 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 1/2 (.f64 c a)) b_2)) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/2 (.f64 c a)) (pow.f64 b_2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -1/2 c) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (.f64 c a)) (/.f64 -1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 b_2 -1)) (/.f64 (.f64 -1/2 (.f64 c a)) (cbrt.f64 (pow.f64 b_2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 b_2)) (/.f64 a (cbrt.f64 (pow.f64 b_2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (cbrt.f64 b_2)) (/.f64 (.f64 c a) (cbrt.f64 (pow.f64 b_2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (cbrt.f64 b_2)) (/.f64 (.f64 -1/2 c) (cbrt.f64 (pow.f64 b_2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/2 c) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 (.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) (/.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 c a)) 2)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 (.f64 -1/2 c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 b_2)) (/.f64 (.f64 1/2 (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (.f64 1/2 (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/2 (.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 c a)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -1/2 (.f64 c a)) (cbrt.f64 b_2)) (cbrt.f64 (pow.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (/.f64 (.f64 -1/2 c) (cbrt.f64 (pow.f64 b_2 2)))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 -1/2 (.f64 c a)) (cbrt.f64 b_2)) 1) (cbrt.f64 (pow.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -1/2 (.f64 c a)) (cbrt.f64 (pow.f64 b_2 2))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/2 (/.f64 (.f64 c a) (cbrt.f64 (pow.f64 b_2 2)))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 1/2 (.f64 c a))) (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 2))) (neg.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 2))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -1/2 c) (/.f64 a (cbrt.f64 (pow.f64 b_2 2)))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 b_2 -1)) (.f64 -1/2 (.f64 c a))) (cbrt.f64 (pow.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 b_2)) a) (cbrt.f64 (pow.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a (cbrt.f64 b_2)) (.f64 -1/2 c)) (cbrt.f64 (pow.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 2)) (cbrt.f64 (.f64 1/2 (.f64 c a)))) (neg.f64 (cbrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 2)) (cbrt.f64 (.f64 -1/2 (.f64 c a)))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2)) (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 c a)) 2))) (cbrt.f64 (pow.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -1/2 (cbrt.f64 b_2)) (.f64 c a)) (cbrt.f64 (pow.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c a) (/.f64 b_2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 -1/2 (.f64 c a)) (cbrt.f64 b_2))) (neg.f64 (cbrt.f64 (pow.f64 b_2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 1/2 (.f64 c a)) b_2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2) 2)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 b_2) (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b_2 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) b_2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 b_2)) (cbrt.f64 (pow.f64 b_2 2)) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 1 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b_2 2)) (cbrt.f64 b_2) (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b_2 (fma.f64 (.f64 -1/2 c) (/.f64 a b_2) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 b_2 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 0 (/.f64 (.f64 -1/2 (.f64 c a)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (.f64 c a)) (/.f64 -1 b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 c) (/.f64 a b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 c a))) (/.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 c a)) 2)) b_2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 -1/2 c) (cbrt.f64 b_2)) (/.f64 a (cbrt.f64 (pow.f64 b_2 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b_2 -1)) (/.f64 (.f64 -1/2 (.f64 c a)) (cbrt.f64 (pow.f64 b_2 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a (cbrt.f64 b_2)) (/.f64 (.f64 -1/2 c) (cbrt.f64 (pow.f64 b_2 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 (.f64 c a)) (pow.f64 b_2 -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (cbrt.f64 b_2)) (/.f64 (.f64 c a) (cbrt.f64 (pow.f64 b_2 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 -1/2 (.f64 c a)) b_2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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simplify3.0s (11.5%)

Algorithm

1×

egglog

Details

analyze284.0ms (1.1%)

sample1.7s (6.7%)

preprocess2.8s (11%)

simplify1.4s (5.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize25.0ms (0.1%)

series209.0ms (0.8%)

rewrite1.5s (6%)

simplify5.2s (20%)

eval192.0ms (0.7%)

prune105.0ms (0.4%)

localize35.0ms (0.1%)

series87.0ms (0.3%)

rewrite1.6s (6%)

simplify6.1s (23.6%)

localize6.0ms (0%)

localize22.0ms (0.1%)

series38.0ms (0.1%)

rewrite1.5s (5.9%)

simplify3.0s (11.5%)

end0.0ms (0%)

Profiling