Details

analyze775.0ms (4.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample3.6s (19.9%)

Results

1.3s	5527×	body	256	valid
902.0ms	1177×	body	2048	valid
469.0ms	773×	body	1024	valid
406.0ms	428×	body	4096	valid
364.0ms	1563×	body	256	invalid
160.0ms	351×	body	512	valid

preprocess133.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

807×	`fma-def_binary64`
685×	`div-sub_binary64`
484×	`associate-/r*_binary64`
440×	`distribute-frac-neg_binary64`
353×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	98	88
2	198	88
3	446	88
4	757	88
5	1250	88
6	2225	88
7	4449	88
8	7171	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 -4 a) c))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 a 2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) a))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (+.f64 (.f64 a a) (.f64 -4 (.f64 b c))))) (.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 (.f64 -4 b) c))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))) a) (*.f64 b 2))
(.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) b))
(.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (.f64 c (*.f64 b -4))))) b) -1/2)
(.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (.f64 c (*.f64 b -4))))) (/.f64 -1/2 b))
(.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 -4 a) c))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 c 2))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) (/.f64 -1/2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 b a))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 (.f64 -4 b) a))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (*.f64 a 2))
(.f64 -1/2 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))) a))
(.f64 (-.f64 c (sqrt.f64 (fma.f64 c c (.f64 b (*.f64 a -4))))) (/.f64 -1/2 a))
(.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c))) c) a))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify162.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
747×	`fma-neg_binary64`
695×	`div-sub_binary64`
619×	`times-frac_binary64`
422×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	34	22
2	69	22
3	161	22
4	257	22
5	415	22
6	730	22
7	1322	22
8	2632	22
9	3914	22
10	5780	22
11	6909	22
12	7751	22
13	7839	22

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b) (*.f64 a 2))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a) -1/2)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

eval3.0ms (0%)

Compiler: Compiled 112 to 64 computations (42.9% saved)

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	2	8

Error

37.1b

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.2b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
▶	37.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize51.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.6b	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (*.f64 a c)))))
	0.8b	(+.f64 (.f64 b b) (.f64 -4 (*.f64 a c)))
	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
	0.0b	(.f64 -4 (.f64 a c))
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
✓	0.8b	(+.f64 (.f64 b b) (.f64 -4 (*.f64 a c)))
✓	1.6b	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (*.f64 a c)))))
✓	23.8b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (*.f64 a c))))

Compiler

Compiled 73 to 32 computations (56.2% saved)

series58.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
3.0ms	b	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
3.0ms	b	@	0	(sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (*.f64 a c))))
3.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
2.0ms	b	@	-inf	(sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (*.f64 a c))))

rewrite155.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`log-prod_binary64`
594×	`fma-def_binary64`
331×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	333	59
2	4814	59

Stop Event

1×	node limit

Counts

4 → 210

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (*.f64 a c))))
(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (*.f64 a c)))))
(+.f64 (.f64 b b) (.f64 -4 (*.f64 a c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 a c) 3) -64 (pow.f64 b 6))) (sqrt.f64 (fma.f64 (.f64 -4 (.f64 a c)) (fma.f64 b b (.f64 -4 (.f64 a c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (.f64 (pow.f64 (.f64 a c) 2) 16))) (sqrt.f64 (fma.f64 b b (.f64 4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (/.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b b (fma.f64 -4 (.f64 a c) (.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fma.f64 b b (.f64 4 (.f64 a c))) (.f64 b b)) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b b (fma.f64 -4 (.f64 a c) (.f64 b (hypot.f64 b (sqrt.f64 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c)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a)))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 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#<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) (sqrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) 2) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 (.f64 a a) 4))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) (cbrt.f64 (.f64 (.f64 a a) 4))) (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (cbrt.f64 (.f64 (.f64 a a) 4))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change 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(2) ((x pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))))))))

simplify247.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

336×	`log-prod_binary64`
331×	`associate-r_binary64`
301×	`fma-def_binary64`
288×	`associate-l_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	620	6631
1	1576	6388
2	6038	6380

Stop Event

1×	node limit

Counts

306 → 411

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
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(/.f64 1 (/.f64 (fma.f64 (.f64 -4 (.f64 a c)) (fma.f64 b b (.f64 -4 (.f64 a c))) (pow.f64 b 4)) (fma.f64 (pow.f64 (*.f64 a c) 3) -64 (pow.f64 b 6))))
(/.f64 1 (/.f64 (fma.f64 b b (.f64 4 (.f64 a c))) (-.f64 (pow.f64 b 4) (.f64 (pow.f64 (.f64 a c) 2) 16))))
(/.f64 (fma.f64 (pow.f64 (.f64 a c) 3) -64 (pow.f64 b 6)) (fma.f64 (.f64 -4 (.f64 a c)) (fma.f64 b b (.f64 -4 (*.f64 a c))) (pow.f64 b 4)))
(/.f64 (fma.f64 (pow.f64 (.f64 a c) 3) -64 (pow.f64 b 6)) (fma.f64 (pow.f64 (.f64 a c) 2) 16 (-.f64 (pow.f64 b 4) (.f64 b (.f64 b (.f64 -4 (.f64 a c)))))))
(/.f64 (-.f64 (pow.f64 b 4) (.f64 (pow.f64 (.f64 a c) 2) 16)) (fma.f64 b b (.f64 4 (.f64 a c))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a c) 3) -64 (pow.f64 b 6))) (neg.f64 (fma.f64 (.f64 -4 (.f64 a c)) (fma.f64 b b (.f64 -4 (*.f64 a c))) (pow.f64 b 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 4) (.f64 (pow.f64 (.f64 a c) 2) 16))) (neg.f64 (fma.f64 b b (.f64 4 (.f64 a c)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 a c) 2) 16) (pow.f64 b 4)) (fma.f64 b b (.f64 -4 (.f64 a c))))
(pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1)
(pow.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))) 2)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 3)
(sqrt.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 2))
(log.f64 (exp.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 c) a) -4) (pow.f64 (exp.f64 b) b)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 -4 (.f64 a c)))) (pow.f64 (exp.f64 b) b)))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 c) a) -4) (+.f64 1 (expm1.f64 (*.f64 b b)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 -4 (.f64 a c)))) (+.f64 1 (expm1.f64 (*.f64 b b)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b b))) (pow.f64 (pow.f64 (exp.f64 c) a) -4)))
(log.f64 (.f64 (pow.f64 (exp.f64 b) b) (+.f64 1 (expm1.f64 (.f64 -4 (*.f64 a c))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b b))) (+.f64 1 (expm1.f64 (.f64 -4 (.f64 a c))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -4 (*.f64 a c)))) (pow.f64 (exp.f64 b) b)))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 c) a) -4) (+.f64 1 (expm1.f64 (.f64 b b)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -4 (.f64 a c)))) (+.f64 1 (expm1.f64 (.f64 b b)))))
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3))
(expm1.f64 (log1p.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))
(exp.f64 (log.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))
(exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 -4 (*.f64 a c)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))
(fma.f64 b b (.f64 -4 (.f64 a c)))
(fma.f64 (.f64 b b) 1 (.f64 -4 (*.f64 a c)))
(fma.f64 -4 (.f64 a c) (.f64 b b))
(fma.f64 a (.f64 c -4) (.f64 b b))
(fma.f64 c (.f64 -4 a) (.f64 b b))
(fma.f64 (.f64 a c) -4 (.f64 b b))
(fma.f64 (.f64 -4 (.f64 a c)) 1 (*.f64 b b))
(fma.f64 1 (.f64 b b) (.f64 -4 (*.f64 a c)))
(fma.f64 1 (.f64 -4 (.f64 a c)) (*.f64 b b))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 b 4)) (.f64 -4 (.f64 a c)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) b) (.f64 -4 (*.f64 a c)))
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (.f64 -4 (.f64 a c)))
(fma.f64 (cbrt.f64 (.f64 -4 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 -4 (.f64 a c))) 2) (*.f64 b b))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -4 (.f64 a c))) 2) (cbrt.f64 (.f64 -4 (.f64 a c))) (*.f64 b b))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a c) 2)) (.f64 (cbrt.f64 (.f64 a c)) -4) (.f64 b b))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) b) (.f64 -4 (*.f64 a c)))
(fma.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) (sqrt.f64 (.f64 -4 (.f64 a c))) (*.f64 b b))
(fma.f64 (sqrt.f64 (.f64 a c)) (.f64 (sqrt.f64 (.f64 a c)) -4) (.f64 b b))
(fma.f64 -1 (.f64 b b) (.f64 -4 (*.f64 a c)))
(fma.f64 (.f64 -4 a) c (.f64 b b))
(fma.f64 (.f64 b (sqrt.f64 b)) (sqrt.f64 b) (.f64 -4 (*.f64 a c)))
(fma.f64 (.f64 -4 c) a (.f64 b b))
(fma.f64 (.f64 -4 (cbrt.f64 (pow.f64 (.f64 a c) 2))) (cbrt.f64 (.f64 a c)) (.f64 b b))
(fma.f64 (.f64 -4 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (.f64 b b))
(fma.f64 (.f64 (.f64 -4 a) 1) c (*.f64 b b))
(fma.f64 (.f64 (.f64 -4 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b b))
(fma.f64 (.f64 (.f64 -4 a) (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b b))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 -4 (*.f64 a c)))
(+.f64 0 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a)))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) a))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)))) 1)
(.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))
(.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)) 1)
(.f64 1 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)))
(.f64 (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) 2) (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) (.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (/.f64 1/2 a)))
(.f64 (sqrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) (sqrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))
(.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (/.f64 1/2 a)))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) a))
(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1 (.f64 a -2)))
(.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) a) 1/2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c)))))) (+.f64 a a)))
(.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c)))))) (+.f64 a a)))
(.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c)))))) 2))
(.f64 (/.f64 1 a) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c)))))) 2))
(.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c)))))) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) 2) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c)))))) a))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (.f64 a a) 4))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) (cbrt.f64 (.f64 (.f64 a a) 4))) (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))))
(.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) (cbrt.f64 (.f64 (.f64 a a) 4))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c)))))) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c)))))) (sqrt.f64 (+.f64 a a))))
(pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)) 1)
(pow.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))) 3)
(pow.f64 (sqrt.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))) 2)
(pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) -1)
(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (*.f64 a -2)))
(sqrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 3) (pow.f64 (+.f64 a a) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))
(exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (/.f64 (*.f64 -2 c) (/.f64 b a)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 (+.f64 a a) c) b) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) b)
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))) (neg.f64 b))
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(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) a))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
(cbrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)) 3))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) a))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 3) (pow.f64 (+.f64 a a) 3)))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) a))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
(expm1.f64 (log1p.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) a))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
(exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) a))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) 1))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) a))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
(log1p.f64 (expm1.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) a))
(.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))

localize58.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	23.8b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
	1.6b	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
	0.2b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
✓	0.2b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
✓	1.6b	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	23.8b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 60 to 30 computations (50% saved)

series37.0ms (0.2%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
3.0ms	b	@	0	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
2.0ms	c	@	-inf	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
2.0ms	c	@	inf	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
2.0ms	a	@	inf	(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))

rewrite142.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`prod-diff_binary64`
636×	`log-prod_binary64`
351×	`fma-def_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	280	51
2	3647	48

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
(-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b 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1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 b (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (pow.f64 1 1/2)))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (pow.f64 1 1/2) (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (pow.f64 1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (pow.f64 1 1/2)))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (pow.f64 1 1/2) (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (pow.f64 1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (pow.f64 1 1/2)))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (pow.f64 1 1/2) (.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (pow.f64 1 1/2))))))) (#(struct:change #<rule egg-rr> (2) 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Outputs

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

simplify239.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

367×	`div-sub_binary64`
330×	`fma-neg_binary64`
298×	`fma-def_binary64`
261×	`associate-r_binary64`
253×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	578	8905
1	1521	7889
2	5674	7791

Stop Event

1×	node limit

Counts

248 → 361

Calls

Call 1

Inputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) b)) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 3)) b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(+.f64 0 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) 1)
(.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) 1)
(.f64 1 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))
(.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
(.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))
(.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))))
(.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))) 1/2))
(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/2)
(pow.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 3)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2) 1/3)
(fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
(log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))
(hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))
(hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -4))))
(hypot.f64 (sqrt.f64 (.f64 (.f64 a c) -4)) b)
(hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -4))) b)
(expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))
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(exp.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 -1/2 a))) 1))
(log1p.f64 (expm1.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))))
(fma.f64 b (/.f64 -1/2 a) (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)))
(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))

Outputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -2 (.f64 c a)) b))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 -2 a) c) b)) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -2 (.f64 c a)) b))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 -2 a) c) b)) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a))))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -2 (.f64 c a)) b))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 -2 a) c) b)) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(fma.f64 (*.f64 (/.f64 c b) a) 2 (neg.f64 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))) (neg.f64 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 (.f64 (/.f64 c b) a) 2 (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4 (fma.f64 2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (neg.f64 b))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(-.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) -1/2 (-.f64 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) 1/8 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) -1/2 (-.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 c b) a) 2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4)))
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 (.f64 (.f64 -2 a) c) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 b 2 (/.f64 (.f64 (.f64 -2 a) c) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 b 2 (/.f64 (.f64 (.f64 -2 a) c) b))))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 c b) a) 2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4)))
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) b)) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (/.f64 (.f64 c c) (pow.f64 b 3))) 2) (/.f64 (.f64 16 (pow.f64 c 4)) (pow.f64 b 6))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4))))
(fma.f64 1/2 (.f64 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) b) (pow.f64 a 4)) (fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 c b) a) 2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4)))
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) 4))
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(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)))) 1)
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (*.f64 a -2))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2)))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)) (.f64 (.f64 a -2) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (.f64 -2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (/.f64 -1/2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4))) (.f64 (.f64 a -2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 -2 a)))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2) a)
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (neg.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2)) (neg.f64 a))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)) -1/2) (.f64 (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) a))
(/.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (.f64 -2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (/.f64 -1/2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4))) -1/2) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) a))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 -2 a)))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)) 1) (.f64 (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (*.f64 a -2)))
(/.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (.f64 -2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (/.f64 -1/2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4))) 1) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (.f64 a -2)))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 -2 a)))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)) 1/2) (.f64 (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))) (neg.f64 a)))
(/.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (.f64 -2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (/.f64 -1/2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4))) 1/2) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (neg.f64 a)))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 -2 a)))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (.f64 -1/2 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))) (.f64 a (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (.f64 -2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (/.f64 -1/2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 1/2 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))) (.f64 (neg.f64 a) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (.f64 -2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (/.f64 -1/2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 -1/2 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4)))) (.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 -2 a)))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (.f64 1/2 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4)))) (.f64 (neg.f64 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 -2 a)))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2) 1) a)
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)) (/.f64 -1/2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (.f64 -2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (/.f64 -1/2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4))) (/.f64 -1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 -2 a)))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (.f64 1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))) (neg.f64 a))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) 1/2) (neg.f64 a))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (.f64 -2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (fma.f64 b b (.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)) (/.f64 -1/2 a)) (fma.f64 b b (fma.f64 a (.f64 c -4) (.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))))
(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 -2 a)))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 -1/2 a))
(pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)) 1)
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(pow.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)) 3) 1/3)
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(pow.f64 (cbrt.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))) 3)
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(pow.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))) 2)
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(sqrt.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)) 2))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)))))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(cbrt.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)) 3))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(cbrt.f64 (.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) 3) (pow.f64 (/.f64 -1/2 a) 3)))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 a) 3) (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) 3)))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(expm1.f64 (log1p.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(exp.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (/.f64 -1/2 a))) 1))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(log1p.f64 (expm1.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(fma.f64 b (/.f64 -1/2 a) (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))))))
(.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

eval860.0ms (4.7%)

Compiler: Compiled 22240 to 13414 computations (39.7% saved)

prune181.0ms (1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	755	17	772
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	757	17	774

Error

3.0b

Counts

774 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
	45.8b	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
▶	44.0b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 3/2))) (/.f64 -1/2 a))
▶	49.1b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	55.6b	(*.f64 (-.f64 b b) (/.f64 -1/2 a))
	52.5b	(/.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (cbrt.f64 (.f64 a (.f64 a 4)))) (cbrt.f64 (+.f64 a a)))
	38.2b	(.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) 2)) (/.f64 -1/2 a))
	42.3b	(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
	49.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	36.8b	(/.f64 (neg.f64 c) b)
	46.9b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
▶	33.6b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2)))
	40.8b	(.f64 (.f64 (*.f64 (/.f64 c b) a) 2) (/.f64 -1/2 a))
	41.9b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
	50.8b	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
▶	49.0b	(/.f64 (neg.f64 b) a)
	44.8b	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4))) (/.f64 -1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))

Compiler

Compiled 546 to 380 computations (30.4% saved)

localize31.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
	0.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2)))
	0.1b	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2))
	0.0b	(.f64 (.f64 a c) -4)
✓	0.1b	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2))
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2)))
✓	1.0b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
✓	13.7b	(sqrt.f64 (.f64 (.f64 a c) -4))

Compiler

Compiled 83 to 46 computations (44.6% saved)

series133.0ms (0.7%)

Counts

4 → 36

Calls

33 calls:

Time	Variable		Point	Expression
22.0ms	b	@	inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2))
11.0ms	c	@	-inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2))
11.0ms	c	@	inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2))
9.0ms	a	@	0	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2))
8.0ms	a	@	inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2))

rewrite167.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`log-prod_binary64`
579×	`prod-diff_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
244×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	324	66
2	4237	66

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 a c) -4))
(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2)))
(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) -1/2))

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

simplify320.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

448×	`log-prod_binary64`
403×	`associate-r_binary64`
337×	`associate-l_binary64`
296×	`*-commutative_binary64`
296×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	669	7804
1	1724	7056
2	6725	7030

Stop Event

1×	node limit

Counts

251 → 394

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
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(pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a))) 3)
(pow.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a))) 2)
(pow.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a)) 1)
(sqrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) -2))
(log.f64 (exp.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a)))))
(cbrt.f64 (pow.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a))))
(exp.f64 (log.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a))))
(exp.f64 (.f64 (log.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))))) -1))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) a))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a))))
(+.f64 0 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))))) 1)
(.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
(.f64 1 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))))
(.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) 1)
(.f64 (cbrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))))) (cbrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) 2)) (cbrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))))
(.f64 (sqrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))))) (sqrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))))
(.f64 (neg.f64 a) (/.f64 1 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 1/2)))
(.f64 (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) a)
(.f64 (/.f64 a (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) -2)
(.f64 -2 (/.f64 a (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
(.f64 (/.f64 1 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) (/.f64 a -1/2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) (/.f64 (cbrt.f64 a) -1/2))
(.f64 (/.f64 (sqrt.f64 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) (/.f64 (sqrt.f64 a) -1/2))
(.f64 (/.f64 (sqrt.f64 a) -1/2) (/.f64 (sqrt.f64 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) -1/2)))
(.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) -1/2) (/.f64 (cbrt.f64 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 2)))) (/.f64 a (cbrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 2)))) (cbrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 2)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) -1/2))) (/.f64 a (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) -1/2))) (/.f64 (cbrt.f64 a) (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2))))
(pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) 1)
(pow.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))) 3)
(pow.f64 (sqrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))) 2)
(pow.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a)) -1)
(neg.f64 (/.f64 a (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) 1/2)))
(sqrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) 2))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))))))
(cbrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) 3))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2) 3)))
(expm1.f64 (log1p.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(exp.f64 (log.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(exp.f64 (.f64 (log.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))))) 1))
(log1p.f64 (expm1.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 -4) (neg.f64 (sqrt.f64 (.f64 c a))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 -4) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(/.f64 -1/2 (/.f64 b (.f64 a (.f64 c -4))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (/.f64 (pow.f64 b 3) 16)) (/.f64 -1/2 (/.f64 b (.f64 a (*.f64 c -4)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))))))
(fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (/.f64 (pow.f64 b 3) 16)) (fma.f64 -1/2 (.f64 (/.f64 c b) (.f64 a -4)) (/.f64 -1/16 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -1/8) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (pow.f64 (.f64 c a) 2) (/.f64 (pow.f64 b 3) 16)) (fma.f64 -1/2 (.f64 (/.f64 c b) (.f64 a -4)) (fma.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (pow.f64 (.f64 c a) 2) -2) 2)) (pow.f64 b 7)) (/.f64 -1/16 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64)))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) 1/2 (*.f64 b 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) 1/2 (.f64 b 2)) (/.f64 (.f64 (pow.f64 (*.f64 c a) 2) -2) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 2) -2) (pow.f64 b 3)) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) 1/16 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) 1/2 (*.f64 b 2))))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
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(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (sqrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))))) (sqrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (neg.f64 a) (/.f64 1 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 1/2)))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) a)
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 a (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) -2)
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 -2 (/.f64 a (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 1 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) (/.f64 a -1/2))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) (/.f64 (cbrt.f64 a) -1/2))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 (sqrt.f64 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) (/.f64 (sqrt.f64 a) -1/2))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 (sqrt.f64 a) -1/2) (/.f64 (sqrt.f64 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) -1/2)))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) -1/2)))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) -1/2) (/.f64 (cbrt.f64 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 2)))) (/.f64 a (cbrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 2)))) (/.f64 a (cbrt.f64 (.f64 -1/2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(/.f64 (/.f64 a (cbrt.f64 (.f64 -1/2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))) (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 2)))) (cbrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(.f64 (cbrt.f64 (/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) 2)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 2)))))
(.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 2)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) 2)))) (/.f64 a (cbrt.f64 (.f64 -1/2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(/.f64 (/.f64 a (cbrt.f64 (.f64 -1/2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))) (cbrt.f64 (.f64 1/4 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) 2))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) -1/2))) (/.f64 a (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) -1/2))) (/.f64 (cbrt.f64 a) (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) 1)
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(pow.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) 3) 1/3)
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(pow.f64 (cbrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))) 3)
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(pow.f64 (sqrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))) 2)
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(pow.f64 (.f64 -1/2 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) a)) -1)
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(neg.f64 (/.f64 a (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) 1/2)))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(sqrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) 2))
(fabs.f64 (/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(cbrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))) 3))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (.f64 -1/2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (.f64 -1/2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b))) 3)))
(expm1.f64 (log1p.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(exp.f64 (log.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(exp.f64 (.f64 (log.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))))) 1))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))
(log1p.f64 (expm1.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))))
(/.f64 (.f64 -2 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))
(/.f64 (/.f64 a -1/2) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))

localize11.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize53.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`pow1_binary64`
743×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
730×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	7
2	2033	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(.f64 (.f64 b 2) (/.f64 -1/2 a))

Outputs

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

725×	`log-div_binary64`
628×	`log-prod_binary64`
418×	`cube-div_binary64`
359×	`associate-*l/_binary64`
332×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	276
1	166	276
2	673	276
3	4572	276

Stop Event

1×	node limit

Counts

46 → 26

Calls

Call 1

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

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

localize86.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	13.7b	(sqrt.f64 (.f64 c (.f64 a -4)))
	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
✓	13.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 49 to 30 computations (38.8% saved)

series20.0ms (0.1%)

Counts

2 → 14

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
2.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
2.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
2.0ms	c	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
2.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))

rewrite134.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`log-prod_binary64`
387×	`fma-def_binary64`
335×	`pow2_binary64`
247×	`pow-unpow_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	284	27
2	3990	27

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(sqrt.f64 (.f64 c (.f64 a -4)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))

Outputs

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

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

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

393×	`fma-def_binary64`
354×	`log-prod_binary64`
328×	`associate-/l*_binary64`
303×	`distribute-rgt-in_binary64`
294×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	1543
1	421	1489
2	1421	1489
3	6984	1473

Stop Event

1×	node limit

Counts

88 → 128

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(+.f64 0 (sqrt.f64 (.f64 a (.f64 -4 c))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 a (.f64 -4 c))))) 1)
(.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 1)
(.f64 1 (sqrt.f64 (.f64 a (*.f64 -4 c))))
(.f64 (cbrt.f64 (.f64 a (.f64 -4 c))) (cbrt.f64 (sqrt.f64 (.f64 a (*.f64 -4 c)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))) (cbrt.f64 (.f64 a (*.f64 -4 c))))
(.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4)))
(.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a (.f64 -4 c)) 2))) (sqrt.f64 (cbrt.f64 (.f64 a (*.f64 -4 c)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 a (*.f64 -4 c))))
(pow.f64 (.f64 a (.f64 -4 c)) 1/2)
(pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) 2)
(pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (.f64 a (.f64 -4 c))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 a (.f64 -4 c))))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 -4 c))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a (*.f64 -4 c)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))
(+.f64 0 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) a)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) a))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) a))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) a))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)))) 1)
(.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (/.f64 1/2 a))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 a -2)) 1)
(.f64 1 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 a -2)))
(.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 a -2))) 2) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) 2) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (/.f64 1/2 a)))
(.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 a -2))) (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))))
(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (/.f64 1/2 a)))
(.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) a))
(.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b))
(.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (/.f64 1 (.f64 a -2)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) a) 1/2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) (+.f64 a a)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) 1) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) (+.f64 a a)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) a) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) 2))
(.f64 (pow.f64 a -1) (/.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) 2) a) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) 2))
(.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) 2) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 a -2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (+.f64 a a))))
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))) 2)
(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) 1) -1)
(neg.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) 3) (pow.f64 (+.f64 a a) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))))
(exp.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 a -2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))))

Outputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 b (/.f64 -1/2 a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 b (/.f64 -1/2 a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 b (/.f64 -1/2 a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 b (/.f64 -1/2 a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 b (/.f64 -1/2 a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 b (/.f64 -1/2 a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 b (/.f64 -1/2 a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 b (/.f64 -1/2 a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
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(.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (.f64 a -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)))
(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) a))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)))
(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) a))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) (cbrt.f64 (+.f64 a a))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (+.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2))
(/.f64 (+.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) 2) (cbrt.f64 (+.f64 a a))))
(/.f64 (+.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) (pow.f64 (cbrt.f64 (+.f64 a a)) 3))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) (sqrt.f64 (+.f64 a a))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (sqrt.f64 (+.f64 a a))) (sqrt.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 (sqrt.f64 (+.f64 a a)) (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b)) (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) (sqrt.f64 (+.f64 a a))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (sqrt.f64 (+.f64 a a))) (sqrt.f64 (+.f64 a a)))
(/.f64 (+.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 (sqrt.f64 (+.f64 a a)) (sqrt.f64 (+.f64 a a))))
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 1)
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 2) 1/2)
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 3) 1/3)
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))) 3)
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))) 2)
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 3) (pow.f64 (+.f64 a a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 3) (*.f64 8 (pow.f64 a 3))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) 3) (pow.f64 (+.f64 a a) 3)))
(pow.f64 (/.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) 1) -1)
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(neg.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2)))
(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a))
(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 2))
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) a))))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) a))))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) a))))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)))))
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2)) 3))
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) 3) (pow.f64 (+.f64 a a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 3) (pow.f64 (+.f64 a a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 3) (*.f64 8 (pow.f64 a 3))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) 3) (pow.f64 (+.f64 a a) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))))
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(exp.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))))
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (.f64 a -2))) 1))
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))))
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) a))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))

localize88.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(fma.f64 b b (.f64 (.f64 a c) -4))
	0.2b	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)
	0.2b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 3/2))) (/.f64 -1/2 a))
	0.0b	(.f64 (.f64 a c) -4)
✓	0.2b	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)
✓	1.0b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	1.6b	(-.f64 b (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)))
✓	32.7b	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))

Compiler

Compiled 79 to 42 computations (46.8% saved)

series102.0ms (0.6%)

Counts

4 → 112

Calls

36 calls:

Time	Variable		Point	Expression
55.0ms	b	@	inf	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)
4.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)
3.0ms	a	@	inf	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)
3.0ms	c	@	inf	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)
3.0ms	a	@	-inf	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)

rewrite151.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`prod-diff_binary64`
562×	`log-prod_binary64`
315×	`pow2_binary64`
262×	`fma-def_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	257	52
2	3198	52

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2))
(-.f64 b (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)))
(fma.f64 b b (.f64 (.f64 a c) -4))
(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 9/2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) 2) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (fma.f64 b b (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b b (.f64 a (.f64 c -4))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/4) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 3/2) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3/2 (log.f64 (fma.f64 b b (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))))))

simplify257.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

509×	`fma-def_binary64`
438×	`associate-r_binary64`
357×	`fma-neg_binary64`
337×	`associate-l_binary64`
306×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	731	8589944053
1	2006	8524
2	7635	8488

Stop Event

1×	node limit

Counts

308 → 477

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) b)) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -64) (pow.f64 b 2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -64) (pow.f64 b 2))))))
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(fma.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) 1 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
(fma.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6)) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
(fma.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) 2) (cbrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) b)
(fma.f64 (sqrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (sqrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) b)
(fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) b)
(fma.f64 -1 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b)
(fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) 1 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
(fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6)) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
(fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6) b)
(+.f64 (.f64 a (.f64 c -4)) (*.f64 b b))
(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
(+.f64 0 (fma.f64 b b (.f64 a (.f64 c -4))))
(+.f64 (.f64 (.f64 b b) 1) (.f64 a (.f64 c -4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) 1)
(.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))
(.f64 1 (fma.f64 b b (.f64 a (*.f64 c -4))))
(.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1)
(.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) 2))
(.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) 2) (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))))
(.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
(.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4))
(.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6))
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 a (.f64 c -4)) 3)) (+.f64 (pow.f64 (.f64 b b) 2) (-.f64 (.f64 (pow.f64 (.f64 a c) 2) 16) (.f64 (.f64 b b) (.f64 a (*.f64 c -4))))))
(/.f64 (-.f64 (pow.f64 (.f64 b b) 2) (.f64 (pow.f64 (.f64 a c) 2) 16)) (-.f64 (.f64 b b) (.f64 a (.f64 c -4))))
(pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2) 2/3)
(pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 2)
(pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 9/2) 2/9)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) 4)
(pow.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/4) 4/3)
(sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))
(log.f64 (exp.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (.f64 a (.f64 c -4))))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4) (exp.f64 (.f64 b b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 c -4)))) (exp.f64 (.f64 b b))))
(log.f64 (.f64 (exp.f64 (.f64 b b)) (+.f64 1 (expm1.f64 (.f64 a (.f64 c -4))))))
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
(exp.f64 (log.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
(+.f64 0 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))) 1)
(.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 3/2) 1)
(.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (fma.f64 b b (.f64 a (*.f64 c -4))))
(.f64 1 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 3/2))
(.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))
(.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 3/4))
(.f64 (pow.f64 1 3/2) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 3/2))
(.f64 (.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6))
(.f64 (.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4))
(sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3))
(log.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))))
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))
(exp.f64 (.f64 3/2 (log.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))))
(exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (/.f64 (*.f64 (pow.f64 c 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (/.f64 (*.f64 4 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (/.f64 (*.f64 (pow.f64 c 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (/.f64 (*.f64 (pow.f64 c 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))
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(.f64 (.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/6))
(.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/6) (.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
(.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 4))
(.f64 (.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4)) (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4))
(.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))
(.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))))
(sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3))
(sqrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3))
(sqrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3))
(log.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))
(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2))))
(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 9/2))
(cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 9/2))
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))
(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)
(exp.f64 (.f64 3/2 (log.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))))
(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)
(exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) 3))
(pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 3)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) 1))
(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 3/2)))
(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)

eval1.2s (6.7%)

Compiler: Compiled 30332 to 20498 computations (32.4% saved)

prune351.0ms (1.9%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1004	21	1025
Fresh	5	7	12
Picked	1	0	1
Done	2	2	4
Total	1012	30	1042

Error

0.1b

Counts

1042 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	55.1b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))) 2)
	50.9b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4)))) (*.f64 a 2))
▶	36.8b	(/.f64 (neg.f64 c) b)
	49.1b	(/.f64 1 (/.f64 (neg.f64 a) b))
	42.1b	(/.f64 1 (/.f64 a (.f64 (/.f64 -1/2 (/.f64 b (.f64 a (*.f64 c -4)))) -1/2)))
	46.9b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
	49.1b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))) (/.f64 -1/2 a))
	44.9b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) 2)) (*.f64 a 2))
	59.9b	(/.f64 -1/2 (/.f64 a b))
	58.4b	(sqrt.f64 (pow.f64 (/.f64 (*.f64 b -1) a) 2))
▶	41.9b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
	49.3b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 b -1) a)) 3)
▶	33.6b	(/.f64 1 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))))
▶	45.8b	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
	59.3b	(pow.f64 (pow.f64 (/.f64 (*.f64 b -1) a) 3) 1/3)
	46.9b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) -1/2)))
	45.9b	(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a))
✓	49.1b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	55.6b	(*.f64 (-.f64 b b) (/.f64 -1/2 a))
	45.9b	(.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (/.f64 1/2 a))
✓	49.0b	(/.f64 (neg.f64 b) a)
	36.5b	(/.f64 1 (+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b)))
	49.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	42.3b	(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
	44.9b	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
	61.7b	(.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (.f64 a b)))))) (/.f64 -1/2 a))
	50.8b	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
	56.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 b -1) a)) 2)
	45.6b	(/.f64 (+.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))) (*.f64 a 2))
▶	57.1b	(exp.f64 (log.f64 (/.f64 (*.f64 b -1) a)))

Compiler

Compiled 839 to 627 computations (25.3% saved)

localize64.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
	0.1b	(.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
	0.1b	(/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
	0.1b	(/.f64 1 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))))
✓	0.1b	(/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
✓	0.1b	(.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
✓	1.0b	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
	13.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series76.0ms (0.4%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
9.0ms	c	@	inf	(/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
8.0ms	a	@	-inf	(/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
7.0ms	c	@	-inf	(/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
6.0ms	a	@	inf	(/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))
5.0ms	c	@	inf	(.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))

rewrite131.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`log-prod_binary64`
560×	`prod-diff_binary64`
266×	`fma-def_binary64`
253×	`pow1/3_binary64`
250×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	284	54
2	3645	54

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

Inputs

(-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))

(*.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b))))

(/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))

Outputs

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

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

simplify182.0ms (1%)

Algorithm

1×	egg-herbie

Rules

353×	`associate-r_binary64`
310×	`fma-def_binary64`
277×	`associate-l_binary64`
247×	`log-prod_binary64`
223×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	5972
1	1375	5368
2	5466	5211

Stop Event

1×	node limit

Counts

187 → 298

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (pow.f64 b 2))) (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (sqrt.f64 -4)))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (.f64 4 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) 1))
(fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (neg.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) b)
(fma.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4)))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
(fma.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
(fma.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (cbrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) b)
(fma.f64 (sqrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) b)
(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) b)
(fma.f64 -1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)
(fma.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (-.f64 (sqrt.f64 b) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (-.f64 (sqrt.f64 b) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (-.f64 (sqrt.f64 b) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) b)
(+.f64 0 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))) 1)
(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) -1/2))
(/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (*.f64 a -2)))
(/.f64 (.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
(/.f64 (neg.f64 (.f64 a -2)) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(/.f64 (/.f64 (.f64 a -2) 1) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
(/.f64 (/.f64 (.f64 a -2) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(/.f64 (/.f64 (.f64 a -2) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(/.f64 (.f64 2 a) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(/.f64 (.f64 a 2) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 1)
(pow.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))) 3)
(pow.f64 (sqrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))) 2)
(pow.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3) (pow.f64 a 3)) 1/3)
(pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (*.f64 a -2)) -1)
(sqrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))))
(cbrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 3))
(cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
(exp.f64 (log.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
(exp.f64 (.f64 (log.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) 1))
(log1p.f64 (expm1.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
(+.f64 0 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (cbrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) 1)
(.f64 -2 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 1)
(.f64 1 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(.f64 (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (pow.f64 (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 2) (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(.f64 (sqrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (sqrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(.f64 2 (/.f64 1 (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) -2)
(.f64 (/.f64 -2 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (*.f64 a -4))))))
(.f64 (/.f64 -2 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4))))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 1)
(pow.f64 (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 3)
(pow.f64 (sqrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 2)
(pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) -1/2) -1)
(pow.f64 (/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) -1/2) 1) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 2)))
(log.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))
(cbrt.f64 (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 3))
(expm1.f64 (log1p.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(exp.f64 (log.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(exp.f64 (.f64 (log.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 1))
(log1p.f64 (expm1.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 -4) b)))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 -1/2 (.f64 (/.f64 c b) (*.f64 a -4)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (.f64 -1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
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(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(pow.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 3) 1/3)
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(pow.f64 (cbrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))) 3)
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(pow.f64 (sqrt.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))) 2)
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(pow.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3)) 1/3)
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(pow.f64 (.f64 (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3) (pow.f64 a 3)) 1/3)
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (*.f64 a -2)) -1)
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(sqrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 2))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(log.f64 (pow.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(cbrt.f64 (pow.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 3))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3)))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3) (pow.f64 a 3)))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(expm1.f64 (log1p.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(exp.f64 (log.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(exp.f64 (.f64 (log.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) 1))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(log1p.f64 (expm1.f64 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
(/.f64 a (.f64 -1/2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(+.f64 0 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (cbrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) 1)
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 -2 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 1)
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 1 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (pow.f64 (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 2))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 2) (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 (sqrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (sqrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 2 (/.f64 1 (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) -2)
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 (/.f64 -2 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (*.f64 a -4))))))
(.f64 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -2 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2))))
(.f64 (/.f64 -2 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4))))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 -2 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4))))))
(/.f64 (.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))))
(.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 -2 (neg.f64 (.f64 c (*.f64 a -4)))))
(pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 1)
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(pow.f64 (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 3) 1/3)
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(pow.f64 (cbrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 3)
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(pow.f64 (sqrt.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 2)
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) -1/2) -1)
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(pow.f64 (/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) -1/2) 1) -1)
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 2)))
(log.f64 (exp.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(cbrt.f64 (pow.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 3))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(expm1.f64 (log1p.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(exp.f64 (log.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(exp.f64 (.f64 (log.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) 1))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
(log1p.f64 (expm1.f64 (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))

localize15.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	8.2b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
	4.3b	(/.f64 (*.f64 c a) b)
✓	4.3b	(/.f64 (*.f64 c a) b)
✓	8.2b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series10.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log-prod_binary64`
384×	`pow-prod-down_binary64`
317×	`pow2_binary64`
252×	`pow-unpow_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	241	20
2	3482	20

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
(/.f64 (*.f64 c a) b)

Outputs

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

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
360×	`unswap-sqr_binary64`
353×	`distribute-rgt-in_binary64`
254×	`log-prod_binary64`
197×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	1484
1	722	1363
2	3282	1360

Stop Event

1×	node limit

Counts

145 → 159

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(+.f64 0 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)))) 1)
(.f64 -2 (/.f64 (.f64 (/.f64 c b) a) (+.f64 a a)))
(.f64 -2 (/.f64 1 (.f64 2 (/.f64 a (*.f64 (/.f64 c b) a)))))
(.f64 -2 (.f64 (*.f64 (/.f64 c b) a) (/.f64 1/2 a)))
(.f64 (.f64 (/.f64 c b) a) (*.f64 -2 (/.f64 1/2 a)))
(*.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (/.f64 1/2 a))
(.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a)) 1)
(.f64 1 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a)))
(.f64 (cbrt.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))) (cbrt.f64 (pow.f64 (.f64 -1 (/.f64 a (*.f64 (/.f64 c b) a))) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -2)) (cbrt.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (/.f64 1/2 a)))
(.f64 (sqrt.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))) (sqrt.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a))))
(.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (/.f64 1/2 a)))
(.f64 (.f64 (.f64 (/.f64 c b) a) 2) (/.f64 1 (.f64 -2 a)))
(.f64 (/.f64 -2 a) (/.f64 (.f64 c a) (*.f64 2 b)))
(.f64 (/.f64 (.f64 c a) (*.f64 2 b)) (/.f64 -2 a))
(*.f64 (/.f64 1/2 a) (/.f64 -2 (/.f64 (/.f64 b c) a)))
(.f64 (/.f64 (.f64 (/.f64 c b) a) (/.f64 a -2)) 1/2)
(.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))
(.f64 1/2 (/.f64 (.f64 (/.f64 c b) a) (/.f64 a -2)))
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1)
(*.f64 (/.f64 1 a) (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) a) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) a) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) 2) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) a))
(.f64 (/.f64 (.f64 (/.f64 c b) a) 1) (/.f64 -2 (+.f64 a a)))
(.f64 (/.f64 -2 (+.f64 a a)) (.f64 (/.f64 c b) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (+.f64 a a)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 1) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (+.f64 a a)))
(.f64 (/.f64 -2 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (.f64 (/.f64 c b) a) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 (.f64 (/.f64 c b) a) (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 -2 (cbrt.f64 (+.f64 a a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) -2) (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a))))
(.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (cbrt.f64 (.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 -2 (sqrt.f64 (+.f64 a a))) (/.f64 (.f64 (/.f64 c b) a) (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 (.f64 (/.f64 c b) a) (sqrt.f64 (+.f64 a a))) (/.f64 -2 (sqrt.f64 (+.f64 a a))))
(*.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (sqrt.f64 (+.f64 a a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (sqrt.f64 (+.f64 a a))))
(pow.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)) 1)
(pow.f64 (pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -2) 1/2)
(pow.f64 (pow.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))) 3)
(pow.f64 (sqrt.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))) 2)
(pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 3) (pow.f64 (+.f64 a a) 3)) 1/3)
(pow.f64 (/.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) 1) -1)
(neg.f64 (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 -2 a)))
(sqrt.f64 (pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -2))
(log.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)))))
(cbrt.f64 (pow.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 3) (pow.f64 (+.f64 a a) 3)))
(expm1.f64 (log1p.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))
(exp.f64 (log.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))
(exp.f64 (.f64 (log.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a))) 1))
(log1p.f64 (expm1.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))
(+.f64 0 (*.f64 (/.f64 c b) a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 c b) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 c b) a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 c b) a)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 c b) a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) a))) 1)
(*.f64 c (/.f64 1 (/.f64 b a)))
(.f64 c (.f64 a (/.f64 1 b)))
(.f64 a (.f64 c (/.f64 1 b)))
(.f64 (.f64 c a) (/.f64 1 b))
(.f64 (.f64 (/.f64 c b) a) 1)
(.f64 1 (.f64 (/.f64 c b) a))
(.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 (cbrt.f64 (.f64 c a)) (/.f64 1 b)))
(.f64 (cbrt.f64 (.f64 (/.f64 c b) a)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 b c) a) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 b c) a) -2)) (cbrt.f64 (.f64 (/.f64 c b) a)))
(.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 b)))
(.f64 (sqrt.f64 (.f64 (/.f64 c b) a)) (sqrt.f64 (*.f64 (/.f64 c b) a)))
(.f64 (.f64 a (neg.f64 c)) (/.f64 1 (neg.f64 b)))
(.f64 (/.f64 1 b) (.f64 c a))
(*.f64 (/.f64 a 1) (/.f64 c b))
(*.f64 (/.f64 c 1) (/.f64 a b))
(*.f64 (/.f64 c b) a)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) b))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) b))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))
(.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (.f64 c a) (cbrt.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 (/.f64 c b) a)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 b)))
(*.f64 (/.f64 c (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))
(*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
(.f64 (pow.f64 b -1/2) (/.f64 (.f64 c a) (sqrt.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 b)))
(pow.f64 (*.f64 (/.f64 c b) a) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 b c) a) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 2)
(pow.f64 (/.f64 (/.f64 b c) a) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 b c) a) 1) -1)
(neg.f64 (/.f64 (*.f64 c a) (neg.f64 b)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 b c) a) -2))
(log.f64 (exp.f64 (*.f64 (/.f64 c b) a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))
(exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 c b) a)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))

Outputs
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 0 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)))
(/.f64 (neg.f64 c) b)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (/.f64 (/.f64 c b) (/.f64 a a))))))) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (/.f64 (/.f64 c b) (/.f64 a a)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 c) b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (/.f64 (/.f64 c b) (/.f64 a a)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 c) b)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)))) 1)
(/.f64 (neg.f64 c) b)
(.f64 -2 (/.f64 (.f64 (/.f64 c b) a) (+.f64 a a)))
(/.f64 (neg.f64 c) b)
(.f64 -2 (/.f64 1 (.f64 2 (/.f64 a (*.f64 (/.f64 c b) a)))))
(/.f64 (neg.f64 c) b)
(.f64 -2 (.f64 (*.f64 (/.f64 c b) a) (/.f64 1/2 a)))
(/.f64 (neg.f64 c) b)
(.f64 (.f64 (/.f64 c b) a) (*.f64 -2 (/.f64 1/2 a)))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (/.f64 1/2 a))
(/.f64 (neg.f64 c) b)
(.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a)) 1)
(/.f64 (neg.f64 c) b)
(.f64 1 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a)))
(/.f64 (neg.f64 c) b)
(.f64 (cbrt.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))) (cbrt.f64 (pow.f64 (.f64 -1 (/.f64 a (*.f64 (/.f64 c b) a))) -2)))
(.f64 (cbrt.f64 (neg.f64 (/.f64 (/.f64 c b) (/.f64 a a)))) (cbrt.f64 (pow.f64 (neg.f64 (/.f64 a (.f64 (/.f64 c b) a))) -2)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 c) b)) (cbrt.f64 (pow.f64 (/.f64 (neg.f64 c) b) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -2)) (cbrt.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a))))
(.f64 (cbrt.f64 (neg.f64 (/.f64 (/.f64 c b) (/.f64 a a)))) (cbrt.f64 (pow.f64 (neg.f64 (/.f64 a (.f64 (/.f64 c b) a))) -2)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 c) b)) (cbrt.f64 (pow.f64 (/.f64 (neg.f64 c) b) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (/.f64 1/2 a)))
(/.f64 (neg.f64 c) b)
(.f64 (sqrt.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))) (sqrt.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a))))
(/.f64 (neg.f64 c) b)
(.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (/.f64 1/2 a)))
(/.f64 (neg.f64 c) b)
(.f64 (.f64 (.f64 (/.f64 c b) a) 2) (/.f64 1 (.f64 -2 a)))
(/.f64 (neg.f64 c) b)
(.f64 (/.f64 -2 a) (/.f64 (.f64 c a) (*.f64 2 b)))
(/.f64 (neg.f64 c) b)
(.f64 (/.f64 (.f64 c a) (*.f64 2 b)) (/.f64 -2 a))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 1/2 a) (/.f64 -2 (/.f64 (/.f64 b c) a)))
(/.f64 (neg.f64 c) b)
(.f64 (/.f64 (.f64 (/.f64 c b) a) (/.f64 a -2)) 1/2)
(/.f64 (neg.f64 c) b)
(.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 (/.f64 c b) a) (/.f64 a -2)))
(/.f64 (neg.f64 c) b)
(.f64 (/.f64 (.f64 (/.f64 c b) a) a) -1)
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 1 a) (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 2))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) a) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) a) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) a))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) 2) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) a))
(/.f64 (neg.f64 c) b)
(.f64 (/.f64 (.f64 (/.f64 c b) a) 1) (/.f64 -2 (+.f64 a a)))
(/.f64 (neg.f64 c) b)
(.f64 (/.f64 -2 (+.f64 a a)) (.f64 (/.f64 c b) a))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (+.f64 a a)))
(/.f64 (neg.f64 c) b)
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 1) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (+.f64 a a)))
(/.f64 (neg.f64 c) b)
(.f64 (/.f64 -2 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (.f64 (/.f64 c b) a) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 -2 (cbrt.f64 (.f64 a (*.f64 a 4)))) (/.f64 (/.f64 a b) (/.f64 (cbrt.f64 (+.f64 a a)) c)))
(.f64 (.f64 (/.f64 (/.f64 c b) (cbrt.f64 (.f64 a (.f64 a 4)))) a) (/.f64 -2 (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 (.f64 (/.f64 c b) a) (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 -2 (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 -2 (cbrt.f64 (.f64 4 (.f64 a a)))) (/.f64 (.f64 (/.f64 c b) a) (cbrt.f64 (+.f64 a a))))
(.f64 (/.f64 -2 (cbrt.f64 (.f64 a (*.f64 a 4)))) (/.f64 (/.f64 a b) (/.f64 (cbrt.f64 (+.f64 a a)) c)))
(.f64 (.f64 (/.f64 (/.f64 c b) (cbrt.f64 (.f64 a (.f64 a 4)))) a) (/.f64 -2 (cbrt.f64 (+.f64 a a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) -2) (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (cbrt.f64 (+.f64 a a))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) -2) (/.f64 -2 (.f64 (cbrt.f64 (+.f64 a a)) (/.f64 b (*.f64 c a)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) -2) (/.f64 (/.f64 -2 (cbrt.f64 (+.f64 a a))) (/.f64 (/.f64 b a) c)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) -2) (/.f64 -2 (.f64 (/.f64 b (*.f64 c a)) (cbrt.f64 (+.f64 a a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a))))
(.f64 (cbrt.f64 (neg.f64 (/.f64 (/.f64 c b) (/.f64 a a)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 b (.f64 c a)))) 2) (cbrt.f64 (.f64 4 (.f64 a a)))))
(.f64 (cbrt.f64 (/.f64 (neg.f64 c) b)) (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 -2 b) (.f64 c a))) 2) (cbrt.f64 (.f64 a (*.f64 a 4)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 -2 b) (.f64 c a))) 2) (/.f64 (cbrt.f64 (.f64 a (.f64 a 4))) (cbrt.f64 (/.f64 (neg.f64 c) b))))
(.f64 (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (cbrt.f64 (.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (cbrt.f64 (+.f64 a a))))
(/.f64 (.f64 (sqrt.f64 (/.f64 -2 (/.f64 b (.f64 c a)))) (/.f64 (sqrt.f64 (/.f64 -2 (/.f64 b (.f64 c a)))) (cbrt.f64 (+.f64 a a)))) (cbrt.f64 (.f64 4 (*.f64 a a))))
(/.f64 (/.f64 (/.f64 -2 (cbrt.f64 (+.f64 a a))) (/.f64 (/.f64 b a) c)) (cbrt.f64 (.f64 a (.f64 a 4))))
(/.f64 (/.f64 -2 (.f64 (/.f64 b (.f64 c a)) (cbrt.f64 (+.f64 a a)))) (cbrt.f64 (.f64 a (.f64 a 4))))
(.f64 (/.f64 -2 (sqrt.f64 (+.f64 a a))) (/.f64 (.f64 (/.f64 c b) a) (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 -2 (sqrt.f64 (+.f64 a a))) (/.f64 (.f64 c (/.f64 a b)) (sqrt.f64 (+.f64 a a))))
(*.f64 (/.f64 -2 (sqrt.f64 (+.f64 a a))) (/.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 (.f64 (/.f64 c b) a) (sqrt.f64 (+.f64 a a))) (/.f64 -2 (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 -2 (sqrt.f64 (+.f64 a a))) (/.f64 (.f64 (/.f64 c b) a) (sqrt.f64 (+.f64 a a))))
(.f64 (/.f64 -2 (sqrt.f64 (+.f64 a a))) (/.f64 (.f64 c (/.f64 a b)) (sqrt.f64 (+.f64 a a))))
(*.f64 (/.f64 -2 (sqrt.f64 (+.f64 a a))) (/.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 (+.f64 a a))))
(*.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (sqrt.f64 (+.f64 a a))))
(.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (sqrt.f64 (+.f64 a a))))
(.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 -2 (.f64 (/.f64 (/.f64 b a) c) (sqrt.f64 (+.f64 a a)))))
(/.f64 (.f64 -2 (pow.f64 (+.f64 a a) -1/2)) (.f64 (/.f64 b (*.f64 c a)) (sqrt.f64 (+.f64 a a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) (sqrt.f64 (+.f64 a a))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 b (.f64 c a)))) 2) (/.f64 (cbrt.f64 (/.f64 -2 (/.f64 b (*.f64 c a)))) (sqrt.f64 (+.f64 a a)))) (sqrt.f64 (+.f64 a a)))
(/.f64 (/.f64 -2 (*.f64 (/.f64 (/.f64 b a) c) (sqrt.f64 (+.f64 a a)))) (sqrt.f64 (+.f64 a a)))
(/.f64 (/.f64 -2 (.f64 (/.f64 b (.f64 c a)) (sqrt.f64 (+.f64 a a)))) (sqrt.f64 (+.f64 a a)))
(pow.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)) 1)
(/.f64 (neg.f64 c) b)
(pow.f64 (pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -2) 1/2)
(/.f64 (neg.f64 c) b)
(pow.f64 (pow.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)) 3) 1/3)
(/.f64 (neg.f64 c) b)
(pow.f64 (cbrt.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))) 3)
(/.f64 (neg.f64 c) b)
(pow.f64 (sqrt.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))) 2)
(/.f64 (neg.f64 c) b)
(pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -1)
(/.f64 (neg.f64 c) b)
(pow.f64 (/.f64 (pow.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 3) (pow.f64 (+.f64 a a) 3)) 1/3)
(cbrt.f64 (/.f64 (/.f64 -8 (pow.f64 (/.f64 b (*.f64 c a)) 3)) (pow.f64 (+.f64 a a) 3)))
(cbrt.f64 (/.f64 (/.f64 -8 (pow.f64 (/.f64 (/.f64 b a) c) 3)) (pow.f64 (+.f64 a a) 3)))
(pow.f64 (/.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) 1) -1)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 -2 a)))
(neg.f64 (/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 a -2)))
(neg.f64 (.f64 (/.f64 (.f64 (/.f64 -2 b) c) -2) 1))
(neg.f64 (/.f64 (*.f64 (/.f64 -2 b) c) -2))
(sqrt.f64 (pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -2))
(/.f64 (neg.f64 c) b)
(log.f64 (exp.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))
(/.f64 (neg.f64 c) b)
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)))))
(/.f64 (neg.f64 c) b)
(cbrt.f64 (pow.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a)) 3))
(/.f64 (neg.f64 c) b)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 3) (pow.f64 (+.f64 a a) 3)))
(cbrt.f64 (/.f64 (/.f64 -8 (pow.f64 (/.f64 b (*.f64 c a)) 3)) (pow.f64 (+.f64 a a) 3)))
(cbrt.f64 (/.f64 (/.f64 -8 (pow.f64 (/.f64 (/.f64 b a) c) 3)) (pow.f64 (+.f64 a a) 3)))
(expm1.f64 (log1p.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))
(/.f64 (neg.f64 c) b)
(exp.f64 (log.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))
(/.f64 (neg.f64 c) b)
(exp.f64 (.f64 (log.f64 (.f64 -1 (/.f64 (*.f64 (/.f64 c b) a) a))) 1))
(/.f64 (neg.f64 c) b)
(log1p.f64 (expm1.f64 (.f64 -1 (/.f64 (.f64 (/.f64 c b) a) a))))
(/.f64 (neg.f64 c) b)
(+.f64 0 (*.f64 (/.f64 c b) a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 c b) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 c b) a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c b)) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c b)) a))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c b)) a))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 c b) a)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 c b) a)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c b)) a))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) a))) 1)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(*.f64 c (/.f64 1 (/.f64 b a)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 c (.f64 a (/.f64 1 b)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 a (.f64 c (/.f64 1 b)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 (.f64 c a) (/.f64 1 b))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 (.f64 (/.f64 c b) a) 1)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 1 (.f64 (/.f64 c b) a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 (cbrt.f64 (.f64 c a)) (/.f64 1 b)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 (cbrt.f64 (.f64 (/.f64 c b) a)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 b c) a) -2)))
(.f64 (cbrt.f64 (.f64 (/.f64 c b) a)) (cbrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) -2)))
(.f64 (cbrt.f64 (.f64 c (/.f64 a b))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 b a) c) -2)))
(.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 b (.f64 c a)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 b c) a) -2)) (cbrt.f64 (.f64 (/.f64 c b) a)))
(.f64 (cbrt.f64 (.f64 (/.f64 c b) a)) (cbrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) -2)))
(.f64 (cbrt.f64 (.f64 c (/.f64 a b))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 b a) c) -2)))
(.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 b (.f64 c a)) -2)))
(.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 b)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 (sqrt.f64 (.f64 (/.f64 c b) a)) (sqrt.f64 (*.f64 (/.f64 c b) a)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 (.f64 a (neg.f64 c)) (/.f64 1 (neg.f64 b)))
(/.f64 (neg.f64 c) (neg.f64 (/.f64 b a)))
(.f64 (/.f64 1 b) (.f64 c a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 a 1) (/.f64 c b))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c 1) (/.f64 a b))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) b))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) b))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))
(.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (.f64 c a) (cbrt.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 c (/.f64 (cbrt.f64 b) a)))
(/.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (cbrt.f64 b) (*.f64 c a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 (/.f64 c b) a)))
(.f64 (cbrt.f64 (.f64 (/.f64 c b) a)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 b) 2)))
(.f64 (cbrt.f64 (.f64 c (/.f64 a b))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 b) 2)))
(.f64 (cbrt.f64 (/.f64 c (/.f64 b a))) (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (pow.f64 (cbrt.f64 b) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 b)))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))
(*.f64 (/.f64 c (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))
(*.f64 (/.f64 a (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
(*.f64 (/.f64 c (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))
(.f64 (pow.f64 b -1/2) (/.f64 (.f64 c a) (sqrt.f64 b)))
(*.f64 (pow.f64 b -1/2) (/.f64 c (/.f64 (sqrt.f64 b) a)))
(/.f64 (pow.f64 b -1/2) (/.f64 (sqrt.f64 b) (*.f64 c a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 b)))
(*.f64 (/.f64 c (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))
(pow.f64 (*.f64 (/.f64 c b) a) 1)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(pow.f64 (pow.f64 (/.f64 (/.f64 b c) a) -2) 1/2)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) 1/3)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 2)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(pow.f64 (/.f64 (/.f64 b c) a) -1)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(pow.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)) 1/3)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(pow.f64 (/.f64 (/.f64 (/.f64 b c) a) 1) -1)
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(neg.f64 (/.f64 (*.f64 c a) (neg.f64 b)))
(.f64 (.f64 a (neg.f64 c)) (/.f64 1 (neg.f64 b)))
(/.f64 (neg.f64 c) (neg.f64 (/.f64 b a)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 b c) a) -2))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(log.f64 (exp.f64 (*.f64 (/.f64 c b) a)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 3)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 c b) a)) 1))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))
(*.f64 (/.f64 c b) a)
(*.f64 c (/.f64 a b))
(/.f64 c (/.f64 b a))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.0b	(log.f64 (/.f64 (*.f64 b -1) a))
	2.2b	(exp.f64 (log.f64 (/.f64 (*.f64 b -1) a)))
✓	2.2b	(exp.f64 (log.f64 (/.f64 (*.f64 b -1) a)))
✓	10.0b	(log.f64 (/.f64 (*.f64 b -1) a))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series147.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	b	@	0	(log.f64 (/.f64 (*.f64 b -1) a))
36.0ms	b	@	-inf	(log.f64 (/.f64 (*.f64 b -1) a))
24.0ms	a	@	-inf	(log.f64 (/.f64 (*.f64 b -1) a))
16.0ms	a	@	inf	(log.f64 (/.f64 (*.f64 b -1) a))
12.0ms	a	@	0	(log.f64 (/.f64 (*.f64 b -1) a))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
559×	`add-log-exp_binary64`
559×	`log1p-expm1-u_binary64`
559×	`expm1-log1p-u_binary64`
547×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	146	10
2	1865	10

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(log.f64 (/.f64 (*.f64 b -1) a))
(exp.f64 (log.f64 (/.f64 (*.f64 b -1) a)))

Outputs

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

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

666×	`times-frac_binary64`
590×	`associate-/l*_binary64`
437×	`unswap-sqr_binary64`
363×	`associate-/r*_binary64`
329×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	1191
1	449	1051
2	1587	937

Stop Event

1×	node limit

Counts

132 → 104

Calls

Call 1

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

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

localize50.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	13.7b	(sqrt.f64 (.f64 -4 (.f64 a c)))
	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))
	0.1b	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
	0.0b	(.f64 -4 (.f64 a c))
✓	0.0b	(.f64 -4 (.f64 a c))
✓	0.1b	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
✓	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))
✓	13.7b	(sqrt.f64 (.f64 -4 (.f64 a c)))

Compiler

Compiled 57 to 30 computations (47.4% saved)

series57.0ms (0.3%)

Counts

4 → 52

Calls

30 calls:

Time	Variable		Point	Expression
10.0ms	c	@	0	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
4.0ms	c	@	inf	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
4.0ms	c	@	-inf	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
4.0ms	a	@	inf	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
3.0ms	a	@	-inf	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))

rewrite162.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`prod-diff_binary64`
708×	`log-prod_binary64`
287×	`fma-def_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	288	52
2	3876	52

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -4 (.f64 a c)))
(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))
(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
(.f64 -4 (.f64 a c))

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

simplify229.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

311×	`log-prod_binary64`
294×	`associate-r_binary64`
271×	`associate-l_binary64`
234×	`associate-/l*_binary64`
213×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	5527
1	1411	4957
2	5185	4822

Stop Event

1×	node limit

Counts

229 → 288

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
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(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 -4 a)))) -1/2) (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (neg.f64 a)))
(/.f64 (.f64 1/2 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 -4 a))) 3/2))) (.f64 a (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 -4 a)))) (.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)))))
(/.f64 (.f64 -1/2 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 -4 a))) 3/2))) (.f64 (neg.f64 a) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 -4 a)))) (.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)))))
(/.f64 (.f64 1/2 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 -4 a))))) (.f64 a (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b))))
(/.f64 (.f64 -1/2 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 -4 a))))) (.f64 (neg.f64 a) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 1/2 b) a) 3) (pow.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)) 3)) (fma.f64 (/.f64 (.f64 1/2 b) a) (/.f64 (.f64 1/2 b) a) (-.f64 (.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a))) (.f64 (/.f64 (.f64 1/2 b) a) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 1/2 b) a) (/.f64 (.f64 1/2 b) a)) (.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))) (-.f64 (/.f64 (.f64 1/2 b) a) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a))))
(/.f64 (/.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) 1/2) 1) a)
(/.f64 (/.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) 1/2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(/.f64 (/.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) 1/2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 -4 a))) 3/2)) (/.f64 1/2 a)) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 -4 a)))) (.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 -4 a)))) (/.f64 1/2 a)) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))
(/.f64 (.f64 -1/2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b))) (neg.f64 a))
(/.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2) (neg.f64 a))
(/.f64 (.f64 (/.f64 1/2 a) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 -4 a))) 3/2))) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 -4 a)))) (.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))
(/.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 -4 a))))) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))
(pow.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a)) 1)
(pow.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a))) 3)
(pow.f64 (sqrt.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a))) 2)
(sqrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a)))))
(log.f64 (.f64 (exp.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a))) (exp.f64 (/.f64 (*.f64 1/2 b) a))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a)) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) 3) (pow.f64 (/.f64 1/2 a) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a))))
(exp.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (/.f64 1/2 a))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) (/.f64 1/2 a))))
(fma.f64 b (/.f64 1/2 a) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a) (/.f64 (*.f64 1/2 b) a))
(fma.f64 1/2 (.f64 (/.f64 1 a) b) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 1/2 (.f64 (/.f64 1 a) (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (/.f64 (.f64 1/2 b) a))
(fma.f64 (/.f64 1/2 a) b (.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (/.f64 1/2 a) (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 (*.f64 1/2 b) a))
(fma.f64 1 (/.f64 (.f64 1/2 b) a) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 1 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)) (/.f64 (.f64 1/2 b) a))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1/2 a)) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2) (.f64 (cbrt.f64 (/.f64 1/2 a)) b) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2) (.f64 (cbrt.f64 (/.f64 1/2 a)) (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (/.f64 (.f64 1/2 b) a))
(fma.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a)))) (.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (/.f64 1/2 a)) (/.f64 (.f64 1/2 b) a))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1/2 a)) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (sqrt.f64 (/.f64 1/2 a)) (.f64 (sqrt.f64 (/.f64 1/2 a)) b) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (sqrt.f64 (/.f64 1/2 a)) (.f64 (sqrt.f64 (/.f64 1/2 a)) (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (/.f64 (.f64 1/2 b) a))
(fma.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (/.f64 1/2 a)) (/.f64 (.f64 1/2 b) a))
(fma.f64 (/.f64 (.f64 1/2 b) a) 1 (.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b) (/.f64 1/2 a)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a))) (cbrt.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))) (cbrt.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a))) (/.f64 (*.f64 1/2 b) a))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1/2 b) a)) (cbrt.f64 (/.f64 (.f64 1/2 b) a))) (cbrt.f64 (/.f64 (.f64 1/2 b) a)) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (sqrt.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a))) (sqrt.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a))) (/.f64 (*.f64 1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 (.f64 1/2 b) a)) (sqrt.f64 (/.f64 (.f64 1/2 b) a)) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (.f64 (sqrt.f64 b) (sqrt.f64 (/.f64 1/2 a))) (.f64 (sqrt.f64 b) (sqrt.f64 (/.f64 1/2 a))) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1/2 a)) (sqrt.f64 b)) (.f64 (sqrt.f64 (/.f64 1/2 a)) (sqrt.f64 b)) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1/2 a)) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) (.f64 (sqrt.f64 (/.f64 1/2 a)) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) (/.f64 (*.f64 1/2 b) a))
(fma.f64 (.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (sqrt.f64 (/.f64 1/2 a))) (.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (sqrt.f64 (/.f64 1/2 a))) (/.f64 (*.f64 1/2 b) a))
(fma.f64 (.f64 b 1/2) (/.f64 1 a) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) 1/2) (/.f64 1 a) (/.f64 (.f64 1/2 b) a))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (cbrt.f64 (/.f64 1/2 a)) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (.f64 b (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 (/.f64 1/2 a)) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (.f64 (/.f64 1/2 a) (sqrt.f64 b)) (sqrt.f64 b) (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (/.f64 1/2 a)))
(fma.f64 (.f64 (/.f64 1/2 a) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a))))) (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (/.f64 (.f64 1/2 b) a))
(fma.f64 (.f64 (/.f64 1/2 a) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) (/.f64 (.f64 1/2 b) a))
(fma.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (cbrt.f64 (/.f64 1/2 a)) (/.f64 (.f64 1/2 b) a))
(fma.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b) (sqrt.f64 (/.f64 1/2 a))) (sqrt.f64 (/.f64 1/2 a)) (/.f64 (.f64 1/2 b) a))
(+.f64 0 (.f64 c (.f64 -4 a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 -4 a)))) 1)
(pow.f64 (.f64 c (.f64 -4 a)) 1)
(pow.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) 2)
(pow.f64 (pow.f64 (.f64 c (.f64 -4 a)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 c (.f64 -4 a)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 c (.f64 -4 a))) 3)
(sqrt.f64 (pow.f64 (.f64 c (.f64 -4 a)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 -4 a)))))
(cbrt.f64 (pow.f64 (.f64 c (.f64 -4 a)) 3))
(expm1.f64 (log1p.f64 (.f64 c (.f64 -4 a))))
(exp.f64 (log.f64 (.f64 c (.f64 -4 a))))
(exp.f64 (.f64 (log.f64 (.f64 c (*.f64 -4 a))) 1))
(log1p.f64 (expm1.f64 (.f64 c (.f64 -4 a))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))
(fma.f64 b 2 (/.f64 (.f64 (.f64 1/2 c) (*.f64 a -4)) b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2)))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 b 2 (/.f64 (.f64 (.f64 1/2 c) (*.f64 a -4)) b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 3) (pow.f64 b 5)) (fma.f64 b 2 (/.f64 (.f64 (.f64 1/2 c) (*.f64 a -4)) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (.f64 -64 (pow.f64 (.f64 c a) 3)) (pow.f64 b 5)) (fma.f64 b 2 (/.f64 (.f64 (.f64 1/2 c) (*.f64 a -4)) b))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)
(/.f64 (.f64 c -1/2) (/.f64 b (.f64 a -4)))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4))))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(-.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 -4 a)))) 1)
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(pow.f64 (.f64 c (.f64 -4 a)) 1)
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(pow.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) 2)
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(pow.f64 (pow.f64 (.f64 c (.f64 -4 a)) 2) 1/2)
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(pow.f64 (pow.f64 (.f64 c (.f64 -4 a)) 3) 1/3)
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(pow.f64 (cbrt.f64 (.f64 c (.f64 -4 a))) 3)
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(sqrt.f64 (pow.f64 (.f64 c (.f64 -4 a)) 2))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 -4 a)))))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(cbrt.f64 (pow.f64 (.f64 c (.f64 -4 a)) 3))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(expm1.f64 (log1p.f64 (.f64 c (.f64 -4 a))))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(exp.f64 (log.f64 (.f64 c (.f64 -4 a))))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(exp.f64 (.f64 (log.f64 (.f64 c (*.f64 -4 a))) 1))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(log1p.f64 (expm1.f64 (.f64 c (.f64 -4 a))))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))

eval549.0ms (3%)

Compiler: Compiled 22298 to 14590 computations (34.6% saved)

prune172.0ms (0.9%)

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	875	18	893
Fresh	6	17	23
Picked	1	0	1
Done	1	5	6
Total	883	40	923

Error

0.1b

Counts

923 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	63.1b	(pow.f64 (E.f64) (log.f64 (/.f64 b a)))
	62.3b	(/.f64 1 (/.f64 a b))
▶	44.9b	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
▶	56.1b	(.f64 (/.f64 1/2 a) (/.f64 (.f64 c -1/2) (/.f64 b (*.f64 a -4))))
	45.0b	(/.f64 1 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b)))))
	50.9b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4)))) (*.f64 a 2))
✓	36.8b	(/.f64 (neg.f64 c) b)
	61.7b	(.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (.f64 a b)))))) (/.f64 -1/2 a))
	49.1b	(/.f64 -1 (/.f64 a b))
	62.3b	(*.f64 (/.f64 1 a) b)
	63.1b	(exp.f64 (log.f64 (/.f64 b a)))
	42.1b	(/.f64 1 (/.f64 a (.f64 (/.f64 -1/2 (/.f64 b (.f64 a (*.f64 c -4)))) -1/2)))
	46.9b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
▶	63.1b	(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
	50.8b	(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
	62.7b	(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 a)))
	62.3b	(/.f64 b a)
	40.3b	(/.f64 1 (.f64 a (fma.f64 4 (/.f64 (/.f64 b (.f64 c -4)) a) (/.f64 1 b))))
	49.1b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))) (/.f64 -1/2 a))
	51.4b	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))))
	44.9b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) 2)) (*.f64 a 2))
✓	41.9b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
	49.3b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 b -1) a)) 3)
✓	33.6b	(/.f64 1 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)))))
▶	56.1b	(/.f64 c b)
	59.3b	(pow.f64 (pow.f64 (/.f64 (*.f64 b -1) a) 3) 1/3)
	46.9b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) -1/2)))
	45.9b	(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a))
	62.7b	(/.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))
	45.6b	(/.f64 (+.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))) (*.f64 a 2))
▶	36.5b	(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
	49.1b	(*.f64 b (/.f64 1 (neg.f64 a)))
	49.1b	(/.f64 1 (*.f64 a (/.f64 -1 b)))
	46.2b	(.f64 (/.f64 1/2 a) (/.f64 (neg.f64 (.f64 c (.f64 a -4))) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
	49.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	42.3b	(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
	56.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 b -1) a)) 2)
	45.9b	(.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (/.f64 1/2 a))
✓	49.0b	(/.f64 (neg.f64 b) a)
✓	57.1b	(exp.f64 (log.f64 (/.f64 (*.f64 b -1) a)))

Compiler

Compiled 1031 to 762 computations (26.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
✓	0.4b	(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
1.0ms	b	@	inf	(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
1.0ms	b	@	-inf	(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
1.0ms	c	@	inf	(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
1.0ms	a	@	inf	(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
352×	`fma-def_binary64`
330×	`pow-prod-down_binary64`
265×	`pow2_binary64`
189×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	220	13
2	3268	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))

Outputs

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

404×	`times-frac_binary64`
347×	`distribute-rgt-neg-in_binary64`
329×	`associate-/l*_binary64`
314×	`distribute-lft-neg-in_binary64`
292×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	1685
1	377	1635
2	1155	1594
3	5344	1590

Stop Event

1×	node limit

Counts

71 → 76

Calls

Call 1

Inputs
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 0 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))) 1)
(*.f64 1 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2)) (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))))
(*.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -1/2) (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -1/2))
(*.f64 -1 (/.f64 1 (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 b c) 3) (pow.f64 (/.f64 a b) 3))) (fma.f64 (/.f64 a b) (+.f64 (/.f64 b c) (/.f64 a b)) (pow.f64 (/.f64 b c) 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 b c) 2) (pow.f64 (/.f64 a b) 2))) (-.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -2) (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))))
(pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -1)
(pow.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -3)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -2)
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 b c) (/.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 b c) (/.f64 a b)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 (/.f64 b c) (/.f64 a b)))) 2))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))

Outputs
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))))
(+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 3) c) (*.f64 a a)))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))
(+.f64 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)) (/.f64 b a)))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 -1 (+.f64 (/.f64 c b) (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (neg.f64 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 -1 (+.f64 (/.f64 c b) (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (neg.f64 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 -1 (+.f64 (/.f64 c b) (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (neg.f64 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))))
(+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 3) c) (*.f64 a a)))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))
(+.f64 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)) (/.f64 b a)))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))))
(+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 3) c) (*.f64 a a)))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))
(+.f64 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)) (/.f64 b a)))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (.f64 -1 (+.f64 (/.f64 c b) (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (neg.f64 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))))
(+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 3) c) (*.f64 a a)))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))
(+.f64 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)) (/.f64 b a)))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))))
(+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 3) c) (*.f64 a a)))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))))
(+.f64 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))) (+.f64 (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)) (/.f64 b a)))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 a c))) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3)))))
(+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (.f64 a a)) (+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (*.f64 c (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(+.f64 0 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))) 1)
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 1 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))) 1)
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2))) (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2)) (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2))) (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b))))
(*.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -1/2) (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -1/2))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 -1 (/.f64 1 (-.f64 (/.f64 b c) (/.f64 a b))))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 b c) 3) (pow.f64 (/.f64 a b) 3))) (fma.f64 (/.f64 a b) (+.f64 (/.f64 b c) (/.f64 a b)) (pow.f64 (/.f64 b c) 2)))
(/.f64 (fma.f64 (/.f64 a b) (+.f64 (/.f64 b c) (/.f64 a b)) (pow.f64 (/.f64 b c) 2)) (+.f64 (pow.f64 (/.f64 b c) 3) (pow.f64 (/.f64 a b) 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 b c) 2) (pow.f64 (/.f64 a b) 2))) (-.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -2) (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -2))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -2)) (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b))))
(pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -1)
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(pow.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))) 1)
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) 2) -1/2)
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2) 1/2)
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -3) 1/3)
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -3)
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))) 3)
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -2)
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(pow.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -1/2) 2)
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -2))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b))))))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -3))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 b c) (/.f64 a b)))))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b c) (/.f64 a b))) -1))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 b c) (/.f64 a b)))) 1))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 b c) (/.f64 a b)) -3)) 1/3))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))))) 3))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 (/.f64 b c) (/.f64 a b)))) 2))
(/.f64 1 (+.f64 (/.f64 b c) (/.f64 a b)))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	8.3b	(.f64 (/.f64 1/2 a) (/.f64 (.f64 c -1/2) (/.f64 b (*.f64 a -4))))
	5.1b	(/.f64 (.f64 c -1/2) (/.f64 b (.f64 a -4)))
✓	5.1b	(/.f64 (.f64 c -1/2) (/.f64 b (.f64 a -4)))
✓	8.3b	(.f64 (/.f64 1/2 a) (/.f64 (.f64 c -1/2) (/.f64 b (*.f64 a -4))))

Compiler

Compiled 45 to 30 computations (33.3% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	c	@	inf	(.f64 (/.f64 1/2 a) (/.f64 (.f64 c -1/2) (/.f64 b (*.f64 a -4))))
0.0ms	c	@	0	(/.f64 (.f64 c -1/2) (/.f64 b (.f64 a -4)))
0.0ms	b	@	0	(/.f64 (.f64 c -1/2) (/.f64 b (.f64 a -4)))
0.0ms	a	@	-inf	(/.f64 (.f64 c -1/2) (/.f64 b (.f64 a -4)))
0.0ms	b	@	inf	(/.f64 (.f64 c -1/2) (/.f64 b (.f64 a -4)))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`log-prod_binary64`
371×	`pow2_binary64`
295×	`log-div_binary64`
262×	`pow1/3_binary64`
255×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	290	26
2	4152	26

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

Inputs
(.f64 (/.f64 1/2 a) (/.f64 (.f64 c -1/2) (/.f64 b (*.f64 a -4))))
(/.f64 (.f64 c -1/2) (/.f64 b (.f64 a -4)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))))))

simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

999×	`fma-def_binary64`
516×	`times-frac_binary64`
392×	`associate-/l*_binary64`
322×	`log-prod_binary64`
257×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	330	2600
1	991	2277
2	4921	2277

Stop Event

1×	node limit

Counts

208 → 174

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 0 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (.f64 -4 (/.f64 a b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (.f64 -4 (/.f64 a b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (.f64 -4 (/.f64 a b)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (.f64 -4 (/.f64 a b)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))))) 1)
(/.f64 1/2 (*.f64 a (/.f64 (/.f64 (/.f64 b a) 2) c)))
(/.f64 1/2 (*.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) a))
(/.f64 1/2 (/.f64 (.f64 a (.f64 b (/.f64 -1/4 a))) (*.f64 c -1/2)))
(/.f64 1/2 (/.f64 a (/.f64 c (/.f64 (/.f64 b a) 2))))
(/.f64 (/.f64 1/2 a) (/.f64 (/.f64 (/.f64 b a) 2) c))
(/.f64 c (.f64 (.f64 a 2) (/.f64 (/.f64 b a) 2)))
(/.f64 c (.f64 (/.f64 (/.f64 b a) 2) (.f64 a 2)))
(/.f64 -1/2 (*.f64 (neg.f64 a) (/.f64 (/.f64 (/.f64 b a) 2) c)))
(/.f64 -1/2 (*.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) (neg.f64 a)))
(/.f64 (.f64 c -1/2) (.f64 (neg.f64 a) (/.f64 (/.f64 b a) 2)))
(/.f64 (.f64 c -1/2) (.f64 (.f64 a 2) (.f64 b (/.f64 -1/4 a))))
(/.f64 (.f64 c -1/2) (.f64 (/.f64 (/.f64 b a) 2) (neg.f64 a)))
(/.f64 (.f64 c -1/2) (.f64 (.f64 b (/.f64 -1/4 a)) (.f64 a 2)))
(/.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) (*.f64 a 2))
(/.f64 1 (.f64 (.f64 a 2) (/.f64 (/.f64 (/.f64 b a) 2) c)))
(/.f64 1 (.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) (.f64 a 2)))
(/.f64 1 (/.f64 (.f64 a (.f64 b (/.f64 -1/4 a))) (*.f64 -1/4 c)))
(/.f64 1 (/.f64 a (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b)))))
(/.f64 1 (/.f64 (.f64 b (/.f64 -1/4 a)) (/.f64 (.f64 -1/4 c) a)))
(/.f64 (.f64 1/2 c) (.f64 a (/.f64 (/.f64 b a) 2)))
(/.f64 (.f64 1/2 c) (.f64 (.f64 a 2) (.f64 b (neg.f64 (/.f64 -1/4 a)))))
(/.f64 (.f64 1/2 c) (.f64 (/.f64 (/.f64 b a) 2) a))
(/.f64 (.f64 -1/4 c) (.f64 a (*.f64 b (/.f64 -1/4 a))))
(/.f64 (.f64 -1/4 c) (.f64 (*.f64 b (neg.f64 (/.f64 -1/4 a))) (neg.f64 a)))
(/.f64 (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b))) a)
(/.f64 (/.f64 (.f64 -1/4 c) a) (.f64 b (/.f64 -1/4 a)))
(/.f64 (neg.f64 (.f64 -1/4 c)) (neg.f64 (.f64 a (*.f64 b (/.f64 -1/4 a)))))
(/.f64 (neg.f64 (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b)))) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (.f64 -1/4 c) a)) (.f64 b (neg.f64 (/.f64 -1/4 a))))
(/.f64 (.f64 -1/2 (.f64 c -1/2)) (.f64 (neg.f64 a) (.f64 b (/.f64 -1/4 a))))
(/.f64 (.f64 1/2 (.f64 1/2 c)) (.f64 a (.f64 b (neg.f64 (/.f64 -1/4 a)))))
(/.f64 (.f64 -1/2 (.f64 1/2 c)) (.f64 (neg.f64 a) (.f64 b (neg.f64 (/.f64 -1/4 a)))))
(/.f64 (.f64 (.f64 1/2 c) 1/2) (.f64 (.f64 b (neg.f64 (/.f64 -1/4 a))) a))
(/.f64 (.f64 (.f64 c -1/2) -1/2) (.f64 (.f64 b (/.f64 -1/4 a)) (neg.f64 a)))
(/.f64 (.f64 (.f64 1/2 c) 1) (.f64 (.f64 b (neg.f64 (/.f64 -1/4 a))) (*.f64 a 2)))
(/.f64 (/.f64 (/.f64 (*.f64 -1/4 c) a) b) (/.f64 -1/4 a))
(/.f64 (/.f64 (/.f64 (.f64 -1/4 c) a) 1) (.f64 b (/.f64 -1/4 a)))
(/.f64 (/.f64 (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b))) 1) a)
(/.f64 (/.f64 (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b))) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (/.f64 (.f64 -1/4 c) a) (pow.f64 (cbrt.f64 (.f64 b (/.f64 -1/4 a))) 2)) (cbrt.f64 (*.f64 b (/.f64 -1/4 a))))
(/.f64 (/.f64 (/.f64 (.f64 -1/4 c) a) (sqrt.f64 (.f64 b (/.f64 -1/4 a)))) (sqrt.f64 (*.f64 b (/.f64 -1/4 a))))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) 2))) (neg.f64 a))
(/.f64 (*.f64 c (/.f64 1/2 a)) (/.f64 (/.f64 b a) 2))
(/.f64 (.f64 (.f64 1/2 c) (/.f64 1/2 a)) (*.f64 b (neg.f64 (/.f64 -1/4 a))))
(/.f64 (*.f64 (/.f64 1/2 a) c) (/.f64 (/.f64 b a) 2))
(/.f64 (.f64 (/.f64 1/2 a) (.f64 1/2 c)) (*.f64 b (neg.f64 (/.f64 -1/4 a))))
(/.f64 (*.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) -1/2) (neg.f64 a))
(pow.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b)))) 3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b)))) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 3) (pow.f64 (/.f64 1/2 a) 3)) 1/3)
(pow.f64 (.f64 (.f64 a 2) (/.f64 (/.f64 (/.f64 b a) 2) c)) -1)
(pow.f64 (.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) (.f64 a 2)) -1)
(pow.f64 (/.f64 (.f64 a (.f64 b (/.f64 -1/4 a))) (*.f64 -1/4 c)) -1)
(pow.f64 (/.f64 a (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b)))) -1)
(pow.f64 (/.f64 (.f64 b (/.f64 -1/4 a)) (/.f64 (.f64 -1/4 c) a)) -1)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))) 2))
(log.f64 (exp.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 3) (pow.f64 (/.f64 1/2 a) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b)))))
(exp.f64 (log.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (.f64 -4 (/.f64 a b)))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b)))))
(+.f64 0 (/.f64 c (/.f64 (/.f64 b a) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c (/.f64 (/.f64 b a) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 c (/.f64 (/.f64 b a) 2)))) 1)
(*.f64 c (/.f64 1 (/.f64 (/.f64 b a) 2)))
(.f64 c (.f64 -1/2 (*.f64 -4 (/.f64 a b))))
(.f64 -1/2 (/.f64 c (.f64 b (/.f64 -1/4 a))))
(.f64 -1/2 (.f64 c (*.f64 -4 (/.f64 a b))))
(.f64 (.f64 c -1/2) (*.f64 -4 (/.f64 a b)))
(.f64 (.f64 a -4) (/.f64 c (/.f64 b -1/2)))
(*.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 1)
(*.f64 1 (/.f64 c (/.f64 (/.f64 b a) 2)))
(*.f64 (cbrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) 2) (cbrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 c -1/2)) 2) (.f64 (cbrt.f64 (.f64 c -1/2)) (*.f64 -4 (/.f64 a b))))
(*.f64 (sqrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) (sqrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(.f64 (sqrt.f64 (.f64 c -1/2)) (.f64 (sqrt.f64 (.f64 c -1/2)) (*.f64 -4 (/.f64 a b))))
(.f64 (.f64 1/2 c) (/.f64 1 (*.f64 b (neg.f64 (/.f64 -1/4 a)))))
(.f64 (.f64 -4 (/.f64 a b)) (*.f64 c -1/2))
(.f64 (/.f64 c (/.f64 b -1/2)) (.f64 a -4))
(*.f64 (/.f64 c b) (/.f64 -1/2 (/.f64 -1/4 a)))
(*.f64 (/.f64 -1/2 b) (/.f64 c (/.f64 -1/4 a)))
(.f64 (/.f64 1 b) (/.f64 (.f64 c -1/2) (/.f64 -1/4 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c -1/2)) 2) b) (/.f64 (cbrt.f64 (*.f64 c -1/2)) (/.f64 -1/4 a)))
(.f64 (/.f64 (sqrt.f64 (.f64 c -1/2)) b) (/.f64 (sqrt.f64 (*.f64 c -1/2)) (/.f64 -1/4 a)))
(.f64 (/.f64 c 1) (/.f64 -1/2 (.f64 b (/.f64 -1/4 a))))
(.f64 (/.f64 c (.f64 b (/.f64 -1/4 a))) -1/2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c -1/2)) 2) 1) (/.f64 (cbrt.f64 (.f64 c -1/2)) (.f64 b (/.f64 -1/4 a))))
(.f64 (/.f64 (sqrt.f64 (.f64 c -1/2)) 1) (/.f64 (sqrt.f64 (.f64 c -1/2)) (.f64 b (/.f64 -1/4 a))))
(.f64 (/.f64 c (pow.f64 (cbrt.f64 (.f64 b (/.f64 -1/4 a))) 2)) (/.f64 -1/2 (cbrt.f64 (*.f64 b (/.f64 -1/4 a)))))
(.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (.f64 b (/.f64 -1/4 a))) 2)) (/.f64 c (cbrt.f64 (*.f64 b (/.f64 -1/4 a)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 b (/.f64 -1/4 a))) 2)) (/.f64 (.f64 c -1/2) (cbrt.f64 (.f64 b (/.f64 -1/4 a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c -1/2)) 2) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/4 a))) 2)) (cbrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 c -1/2)) (pow.f64 (cbrt.f64 (.f64 b (/.f64 -1/4 a))) 2)) (/.f64 (sqrt.f64 (.f64 c -1/2)) (cbrt.f64 (*.f64 b (/.f64 -1/4 a)))))
(.f64 (/.f64 c (sqrt.f64 (.f64 b (/.f64 -1/4 a)))) (/.f64 -1/2 (sqrt.f64 (*.f64 b (/.f64 -1/4 a)))))
(.f64 (/.f64 -1/2 (sqrt.f64 (.f64 b (/.f64 -1/4 a)))) (/.f64 c (sqrt.f64 (*.f64 b (/.f64 -1/4 a)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 b (/.f64 -1/4 a)))) (/.f64 (.f64 c -1/2) (sqrt.f64 (.f64 b (/.f64 -1/4 a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c -1/2)) 2) (sqrt.f64 (.f64 b (/.f64 -1/4 a)))) (/.f64 (cbrt.f64 (.f64 c -1/2)) (sqrt.f64 (*.f64 b (/.f64 -1/4 a)))))
(.f64 (/.f64 (.f64 c -1/2) 1) (*.f64 -4 (/.f64 a b)))
(.f64 (/.f64 (.f64 c -1/2) (neg.f64 b)) (*.f64 a 4))
(.f64 (/.f64 (.f64 c -1/2) (/.f64 b a)) -4)
(.f64 (.f64 (/.f64 c (/.f64 b -1/2)) a) -4)
(.f64 (.f64 (/.f64 c (/.f64 b -1/2)) -4) a)
(.f64 (.f64 (/.f64 c (/.f64 b -1/2)) 1) (*.f64 a -4))
(.f64 (.f64 (/.f64 c (/.f64 b -1/2)) (pow.f64 (cbrt.f64 (.f64 a -4)) 2)) (cbrt.f64 (.f64 a -4)))
(.f64 (.f64 (/.f64 c (/.f64 b -1/2)) (sqrt.f64 (.f64 a -4))) (sqrt.f64 (.f64 a -4)))
(pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 1)
(pow.f64 (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) 2)
(pow.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 c -1/2) 3) (pow.f64 (.f64 b (/.f64 -1/4 a)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) 1) -1)
(neg.f64 (/.f64 (.f64 c -1/2) (.f64 b (neg.f64 (/.f64 -1/4 a)))))
(sqrt.f64 (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 2))
(log.f64 (exp.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 c (/.f64 (/.f64 b a) 2)))))
(cbrt.f64 (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 c -1/2) 3) (pow.f64 (.f64 b (/.f64 -1/4 a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(exp.f64 (log.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))

Outputs
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
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(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
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(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
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(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(+.f64 0 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))))
(.f64 (/.f64 -1/4 (/.f64 a c)) (/.f64 (.f64 a -4) b))
(*.f64 (/.f64 a b) (/.f64 c a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (.f64 -4 (/.f64 a b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (.f64 -4 (/.f64 a b)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/4 (/.f64 a c))) (/.f64 (.f64 a -4) b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/4 (/.f64 a c))) (/.f64 (*.f64 a -4) b)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 c a)) (/.f64 a b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (.f64 -4 (/.f64 a b)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (.f64 -4 (/.f64 a b)))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/4 (/.f64 a c))) (/.f64 (.f64 a -4) b)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 c a)) (/.f64 a b)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))))) 1)
(.f64 (/.f64 -1/4 (/.f64 a c)) (/.f64 (.f64 a -4) b))
(*.f64 (/.f64 a b) (/.f64 c a))
(/.f64 1/2 (*.f64 a (/.f64 (/.f64 (/.f64 b a) 2) c)))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 1/2 (*.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) a))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 1/2 (/.f64 (.f64 a (.f64 b (/.f64 -1/4 a))) (*.f64 c -1/2)))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 1/2 (/.f64 a (/.f64 c (/.f64 (/.f64 b a) 2))))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 (/.f64 1/2 a) (/.f64 (/.f64 (/.f64 b a) 2) c))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 c (.f64 (.f64 a 2) (/.f64 (/.f64 b a) 2)))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 c (.f64 (/.f64 (/.f64 b a) 2) (.f64 a 2)))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 -1/2 (*.f64 (neg.f64 a) (/.f64 (/.f64 (/.f64 b a) 2) c)))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 -1/2 (*.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) (neg.f64 a)))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 (.f64 c -1/2) (.f64 (neg.f64 a) (/.f64 (/.f64 b a) 2)))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 (.f64 c -1/2) (.f64 (.f64 a 2) (.f64 b (/.f64 -1/4 a))))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 (.f64 c -1/2) (.f64 (/.f64 (/.f64 b a) 2) (neg.f64 a)))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 (.f64 c -1/2) (.f64 (.f64 b (/.f64 -1/4 a)) (.f64 a 2)))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) (*.f64 a 2))
(.f64 (/.f64 (.f64 c (/.f64 1/2 a)) (/.f64 b a)) 2)
(.f64 (.f64 (/.f64 a b) (/.f64 c a)) 1)
(/.f64 1 (.f64 (.f64 a 2) (/.f64 (/.f64 (/.f64 b a) 2) c)))
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(/.f64 1 (.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) (.f64 a 2)))
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(/.f64 1 (/.f64 (.f64 a (.f64 b (/.f64 -1/4 a))) (*.f64 -1/4 c)))
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(/.f64 1 (/.f64 a (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b)))))
(.f64 (/.f64 1 a) (.f64 -1/4 (.f64 c (/.f64 (.f64 a -4) b))))
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(/.f64 1 (/.f64 (.f64 b (/.f64 -1/4 a)) (/.f64 (.f64 -1/4 c) a)))
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(/.f64 (.f64 1/2 c) (.f64 (/.f64 (/.f64 b a) 2) a))
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(/.f64 (.f64 -1/4 c) (.f64 (*.f64 b (neg.f64 (/.f64 -1/4 a))) (neg.f64 a)))
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(/.f64 (.f64 1/2 (.f64 1/2 c)) (.f64 a (.f64 b (neg.f64 (/.f64 -1/4 a)))))
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(/.f64 (/.f64 (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
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(/.f64 (/.f64 (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b))) (sqrt.f64 a)) (sqrt.f64 a))
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(/.f64 (/.f64 (/.f64 (.f64 -1/4 c) a) (sqrt.f64 (.f64 b (/.f64 -1/4 a)))) (sqrt.f64 (*.f64 b (/.f64 -1/4 a))))
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(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 (.f64 (/.f64 c (/.f64 b -1/2)) 1) (*.f64 a -4))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 (.f64 (/.f64 c (/.f64 b -1/2)) (pow.f64 (cbrt.f64 (.f64 a -4)) 2)) (cbrt.f64 (.f64 a -4)))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(.f64 (.f64 (/.f64 c (/.f64 b -1/2)) (sqrt.f64 (.f64 a -4))) (sqrt.f64 (.f64 a -4)))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 1)
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(pow.f64 (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 3) 1/3)
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(pow.f64 (cbrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) 3)
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(pow.f64 (sqrt.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) 2)
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(pow.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) -1)
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(pow.f64 (/.f64 (pow.f64 (.f64 c -1/2) 3) (pow.f64 (.f64 b (/.f64 -1/4 a)) 3)) 1/3)
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 b a) 2) c) 1) -1)
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(neg.f64 (/.f64 (.f64 c -1/2) (.f64 b (neg.f64 (/.f64 -1/4 a)))))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(sqrt.f64 (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 c (/.f64 b a))) 2))
(fabs.f64 (.f64 (/.f64 c b) (.f64 2 a)))
(fabs.f64 (.f64 c (/.f64 (.f64 2 a) b)))
(log.f64 (exp.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 c (/.f64 (/.f64 b a) 2)))))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(cbrt.f64 (pow.f64 (/.f64 c (/.f64 (/.f64 b a) 2)) 3))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(cbrt.f64 (/.f64 (pow.f64 (.f64 c -1/2) 3) (pow.f64 (.f64 b (/.f64 -1/4 a)) 3)))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(expm1.f64 (log1p.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(exp.f64 (log.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 (/.f64 b a) 2))) 1))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))
(log1p.f64 (expm1.f64 (/.f64 c (/.f64 (/.f64 b a) 2))))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 c (/.f64 (.f64 2 a) b))

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	8.6b	(sqrt.f64 (/.f64 b a))
	0.2b	(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
✓	0.2b	(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
✓	8.6b	(sqrt.f64 (/.f64 b a))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series10.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
1.0ms	a	@	-inf	(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
1.0ms	b	@	0	(sqrt.f64 (/.f64 b a))
1.0ms	b	@	0	(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
1.0ms	b	@	-inf	(sqrt.f64 (/.f64 b a))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
574×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
560×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	1584	10

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 b a))
(pow.f64 (sqrt.f64 (/.f64 b a)) 2)

Outputs

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

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

714×	`times-frac_binary64`
584×	`fma-neg_binary64`
435×	`unswap-sqr_binary64`
418×	`associate-/l*_binary64`
282×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	819
1	320	638
2	1170	481
3	7855	481

Stop Event

1×	node limit

Counts

70 → 84

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	13.7b	(sqrt.f64 (.f64 a (.f64 -4 c)))
	0.1b	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
	0.1b	(/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))
✓	0.1b	(/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))
✓	0.1b	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
✓	13.7b	(sqrt.f64 (.f64 a (.f64 -4 c)))

Compiler

Compiled 60 to 40 computations (33.3% saved)

series53.0ms (0.3%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	c	@	inf	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
7.0ms	c	@	-inf	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
6.0ms	a	@	inf	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
4.0ms	c	@	inf	(/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))
3.0ms	a	@	-inf	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)

rewrite123.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`prod-diff_binary64`
745×	`log-prod_binary64`
351×	`fma-def_binary64`
258×	`expm1-udef_binary64`
258×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	304	45
2	4020	45

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs
(sqrt.f64 (.f64 a (.f64 -4 c)))
(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -1)
(/.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))

Outputs

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

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

434×	`unswap-sqr_binary64`
283×	`log-prod_binary64`
203×	`*-commutative_binary64`
201×	`exp-prod_binary64`
198×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	3574
1	1117	3287
2	4278	3218

Stop Event

1×	node limit

Counts

162 → 220

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 b a))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 3)) (sqrt.f64 -4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2))))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (+.f64 (.f64 -1/2 (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -4) 2))))))))) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -4) (+.f64 (.f64 -1/2 (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 1/2 (.f64 c (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -2 (/.f64 a b))
(.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))
(+.f64 (.f64 2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -2 (/.f64 a b))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 a b)))
(+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 a b)))
(+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (.f64 -2 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -2 (.f64 (sqrt.f64 (.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
(+.f64 0 (sqrt.f64 (.f64 a (.f64 -4 c))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 a (.f64 -4 c))))) 1)
(.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 1)
(.f64 1 (sqrt.f64 (.f64 a (*.f64 -4 c))))
(.f64 (cbrt.f64 (.f64 a (.f64 -4 c))) (cbrt.f64 (sqrt.f64 (.f64 a (*.f64 -4 c)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))) (cbrt.f64 (.f64 a (*.f64 -4 c))))
(.f64 (sqrt.f64 (.f64 -4 c)) (sqrt.f64 a))
(.f64 (sqrt.f64 a) (sqrt.f64 (.f64 -4 c)))
(.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 -4 c))) 2)) (sqrt.f64 (cbrt.f64 (.f64 a (*.f64 -4 c)))))
(.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 a (*.f64 -4 c))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 -4 c))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 a (*.f64 -4 c))) 1/2))
(.f64 (pow.f64 (.f64 a -4) 1/2) (sqrt.f64 c))
(pow.f64 (.f64 a (.f64 -4 c)) 1/2)
(pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) 2)
(pow.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (.f64 a (.f64 -4 c))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 a (.f64 -4 c))))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 -4 c))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a (*.f64 -4 c)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))
(+.f64 0 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a)))) (cbrt.f64 (exp.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a)))) 1)
(-.f64 (/.f64 b (.f64 a -2)) (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) (.f64 a -2)))
(.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (/.f64 1 (.f64 a -2)))
(.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a)) 1)
(.f64 1 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a)))
(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a))) (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a))) 2) (cbrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a))))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a))
(.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a))) (sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a))))
(.f64 (pow.f64 (.f64 a -2) -1) (pow.f64 (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) 2) -1) (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))) -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) -1) (pow.f64 (sqrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))) -1))
(.f64 (/.f64 1 a) (.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) -1/2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2) a) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -2))
(.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) a) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -2))
(.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) -2) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2) -2) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (.f64 a -2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 1) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (.f64 a -2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a -2)) 2)) (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (cbrt.f64 (*.f64 a -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2) (pow.f64 (cbrt.f64 (.f64 a -2)) 2)) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (cbrt.f64 (*.f64 a -2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (pow.f64 (cbrt.f64 (.f64 a -2)) 2)) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (cbrt.f64 (*.f64 a -2))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a -2))) (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (sqrt.f64 (*.f64 a -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2) (sqrt.f64 (.f64 a -2))) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (sqrt.f64 (*.f64 a -2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (sqrt.f64 (.f64 a -2))) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (sqrt.f64 (*.f64 a -2))))
(.f64 (/.f64 1 (.f64 a -2)) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
(.f64 (/.f64 1 (.f64 a 2)) (neg.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))
(/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (*.f64 a -2))
(/.f64 -1 (neg.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))))
(/.f64 1 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(/.f64 1 (/.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))) 1))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2) (/.f64 (.f64 a -2) (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (/.f64 (.f64 a -2) (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (*.f64 a 2))
(/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (.f64 a (.f64 -4 c)) 3/2)) (.f64 (.f64 a -2) (fma.f64 b b (fma.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b (.f64 a (.f64 -4 c))))))
(/.f64 (-.f64 (.f64 b b) (.f64 a (.f64 -4 c))) (.f64 (.f64 a -2) (fma.f64 (sqrt.f64 (.f64 -4 c)) (sqrt.f64 a) b)))
(/.f64 (sqrt.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a))) (sqrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))
(/.f64 (.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) -1/2) a)
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a) -2)
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (sqrt.f64 (.f64 a -2))) (sqrt.f64 (.f64 a -2)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) 1) (*.f64 a -2))
(/.f64 (/.f64 1 (.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) (pow.f64 (cbrt.f64 (.f64 a -2)) 2)) (cbrt.f64 (.f64 a -2)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) 2)) (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))
(sqrt.f64 (pow.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))) -2))
(log.f64 (exp.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a)))))
(cbrt.f64 (pow.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) 3) (pow.f64 (*.f64 a -2) 3)))
(expm1.f64 (log1p.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a))))
(exp.f64 (log.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) a))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a))))
(+.f64 0 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (cbrt.f64 (exp.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))) 1)
(.f64 a (/.f64 1 (.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) -1/2)))
(.f64 a (.f64 -2 (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))
(.f64 -2 (.f64 a (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(.f64 (.f64 a -2) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))
(.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) 1)
(.f64 1 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(.f64 (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) 2) (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a -2)) 2) (.f64 (cbrt.f64 (.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(.f64 (sqrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) (sqrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))))
(.f64 (sqrt.f64 (.f64 a -2)) (.f64 (sqrt.f64 (.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(.f64 (.f64 a 2) (/.f64 1 (neg.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(.f64 (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (.f64 a -2))
(.f64 (/.f64 a 1) (/.f64 -2 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))
(.f64 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) -2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a -2)) 2) 1) (/.f64 (cbrt.f64 (.f64 a -2)) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))
(.f64 (/.f64 (sqrt.f64 (.f64 a -2)) 1) (/.f64 (sqrt.f64 (.f64 a -2)) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))
(.f64 (/.f64 a (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2)) (/.f64 -2 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2)) (/.f64 a (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2)) (/.f64 (.f64 a -2) (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a -2)) 2) (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2)) (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 a -2)) (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) 2)) (/.f64 (sqrt.f64 (.f64 a -2)) (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(.f64 (/.f64 a (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (/.f64 -2 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(.f64 (/.f64 -2 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (/.f64 a (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (/.f64 (.f64 a -2) (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a -2)) 2) (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))) (/.f64 (cbrt.f64 (.f64 a -2)) (sqrt.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(.f64 (/.f64 (.f64 a -2) (-.f64 (pow.f64 b 3) (pow.f64 (.f64 a (.f64 -4 c)) 3/2))) (fma.f64 b b (fma.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b (.f64 a (.f64 -4 c)))))
(.f64 (/.f64 (.f64 a -2) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (fma.f64 (sqrt.f64 (.f64 -4 c)) (sqrt.f64 a) b))
(pow.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))) 1)
(pow.f64 (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) a)) -1)
(pow.f64 (pow.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))) 3)
(pow.f64 (sqrt.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))) 2)
(neg.f64 (/.f64 (.f64 a -2) (neg.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(sqrt.f64 (pow.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))) 2))
(log.f64 (exp.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))))
(cbrt.f64 (pow.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 a -2) 3) (pow.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))) 3)))
(expm1.f64 (log1p.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))))
(exp.f64 (log.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))))) 1))
(log1p.f64 (expm1.f64 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))))

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

eval200.0ms (1.1%)

Compiler: Compiled 10142 to 6551 computations (35.4% saved)

prune113.0ms (0.6%)

Pruning

51 alts after pruning (45 fresh and 6 done)

	Pruned	Kept	Total
New	532	22	554
Fresh	7	23	30
Picked	1	0	1
Done	3	6	9
Total	543	51	594

Error

0.1b

Counts

594 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	63.1b	(pow.f64 (E.f64) (log.f64 (/.f64 b a)))
	62.3b	(/.f64 1 (/.f64 a b))
	62.7b	(/.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))
✓	36.8b	(/.f64 (neg.f64 c) b)
	56.1b	(/.f64 1/2 (/.f64 a (/.f64 c (/.f64 (/.f64 b a) 2))))
	45.0b	(/.f64 1 (.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)) b)))))
	50.9b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4)))) (*.f64 a 2))
	61.7b	(.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (.f64 a b)))))) (/.f64 -1/2 a))
	49.1b	(/.f64 -1 (/.f64 a b))
	59.7b	(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 b c) (/.f64 a b))))) 3))
	42.1b	(/.f64 1 (/.f64 a (.f64 (/.f64 -1/2 (/.f64 b (.f64 a (*.f64 c -4)))) -1/2)))
	46.9b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
	56.2b	(*.f64 (/.f64 a b) (/.f64 c a))
✓	63.1b	(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
	36.9b	(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 (/.f64 b c) (/.f64 a b)))) 3)
	62.3b	(/.f64 b a)
	40.3b	(/.f64 1 (.f64 a (fma.f64 4 (/.f64 (/.f64 b (.f64 c -4)) a) (/.f64 1 b))))
	56.2b	(.f64 (/.f64 -1/4 (/.f64 a c)) (/.f64 (.f64 a -4) b))
	49.1b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))) (/.f64 -1/2 a))
	51.4b	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))))
	44.9b	(/.f64 1 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
	62.3b	(*.f64 b (/.f64 1 a))
	56.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 b -1) a)) 2)
✓	41.9b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
	63.1b	(exp.f64 (log.f64 (/.f64 b a)))
	62.7b	(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 a)))
	49.3b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 b -1) a)) 3)
	56.6b	(pow.f64 (pow.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b))) 3) 1/3)
✓	56.1b	(/.f64 c b)
	56.1b	(.f64 (.f64 c (/.f64 a b)) (/.f64 1 a))
	59.3b	(pow.f64 (pow.f64 (/.f64 (*.f64 b -1) a) 3) 1/3)
	56.5b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (.f64 -1/4 c) a) (*.f64 -4 (/.f64 a b)))))
	45.9b	(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a))
	44.9b	(/.f64 (/.f64 1 (.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))
	39.3b	(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))))
	45.9b	(.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (/.f64 1/2 a))
	63.2b	(pow.f64 (pow.f64 (pow.f64 (/.f64 b a) 3/2) 1/3) 2)
✓	49.0b	(/.f64 (neg.f64 b) a)
	51.7b	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a)))) -1)
	36.5b	(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
	45.6b	(/.f64 (+.f64 (neg.f64 b) (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a (.f64 -4 c)))))) (*.f64 a 2))
	49.1b	(*.f64 b (/.f64 1 (neg.f64 a)))
	56.1b	(/.f64 (/.f64 (/.f64 (*.f64 -1/4 c) a) b) (/.f64 -1/4 a))
	56.1b	(/.f64 1 (/.f64 a (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b)))))
	49.1b	(/.f64 1 (*.f64 a (/.f64 -1 b)))
	46.2b	(.f64 (/.f64 1/2 a) (/.f64 (neg.f64 (.f64 c (.f64 a -4))) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
	56.2b	(/.f64 (*.f64 (/.f64 1/2 a) c) (/.f64 (/.f64 b a) 2))
	49.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	42.3b	(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
	51.0b	(pow.f64 (/.f64 (.f64 a -2) (-.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))) -1)
✓	57.1b	(exp.f64 (log.f64 (/.f64 (*.f64 b -1) a)))

Compiler

Compiled 691 to 510 computations (26.2% saved)

regimes1.5s (8.5%)

Counts

81 → 3

Calls

Call 1

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

Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
(/.f64 (neg.f64 c) b)

Calls

4 calls:

538.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
396.0ms	a
384.0ms	c
188.0ms	b

Results

Error	Segments	Branch
20.7b	7	`a`
9.9b	3	`b`
22.8b	7	`c`
13.5b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 961 to 570 computations (40.7% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.8496241883414223e-88	1.6467966421213976e-83
33.0ms	-3.603675138730036e+120	-1.161156002358397e+106

Results

35.0ms	265×	body	256	valid
13.0ms	102×	body	256	invalid
6.0ms	13×	body	2048	valid
5.0ms	14×	body	1024	valid
3.0ms	12×	body	512	valid

Compiler

Compiled 607 to 428 computations (29.5% saved)

regimes741.0ms (4.1%)

Counts

38 → 3

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 b (/.f64 1 a))
(/.f64 1 (/.f64 a b))
(/.f64 -1 (/.f64 a b))
(*.f64 (/.f64 1 a) b)
(/.f64 -1/2 (/.f64 a b))
(*.f64 b (/.f64 1 (neg.f64 a)))
(/.f64 1 (/.f64 (neg.f64 a) b))
(*.f64 (/.f64 a b) (/.f64 c a))
(/.f64 1 (*.f64 a (/.f64 -1 b)))
(.f64 (.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 (.f64 c (/.f64 a b)) (/.f64 1 a))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
(/.f64 1/2 (/.f64 a (/.f64 c (/.f64 (/.f64 b a) 2))))
(.f64 (/.f64 -1/4 (/.f64 a c)) (/.f64 (.f64 a -4) b))
(/.f64 (/.f64 (/.f64 (*.f64 -1/4 c) a) b) (/.f64 -1/4 a))
(/.f64 (*.f64 (/.f64 1/2 a) c) (/.f64 (/.f64 b a) 2))
(/.f64 1 (+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b)))
(.f64 (.f64 (*.f64 (/.f64 c b) a) 2) (/.f64 -1/2 a))
(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
(/.f64 1 (/.f64 a (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b)))))
(.f64 (/.f64 1/2 a) (/.f64 (.f64 c -1/2) (/.f64 b (*.f64 a -4))))
(/.f64 1 (/.f64 a (.f64 (/.f64 -1/2 (/.f64 b (.f64 a (*.f64 c -4)))) -1/2)))
(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a))
(.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
(/.f64 1 (.f64 -2 (/.f64 a (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(/.f64 (/.f64 1 (.f64 a -2)) (/.f64 1 (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))
(/.f64 1 (.f64 a (fma.f64 4 (/.f64 (/.f64 b (.f64 c -4)) a) (/.f64 1 b))))

Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2))
(/.f64 (neg.f64 c) b)

Calls

3 calls:

521.0ms	c
150.0ms	a
60.0ms	b

Results

Error	Segments	Branch
30.9b	8	`a`
12.3b	3	`b`
30.6b	6	`c`

Compiler

Compiled 374 to 218 computations (41.7% saved)

bsearch59.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.8496241883414223e-88	1.6467966421213976e-83
21.0ms	-3.9054118664969426	-0.015027600434179429

Results

31.0ms	238×	body	256	valid
13.0ms	23×	body	1024	valid
6.0ms	51×	body	256	invalid
2.0ms	5×	body	2048	valid
1.0ms	6×	body	512	valid

Compiler

Compiled 475 to 350 computations (26.3% saved)

regimes345.0ms (1.9%)

Counts

33 → 5

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 b (/.f64 1 a))
(/.f64 1 (/.f64 a b))
(/.f64 -1 (/.f64 a b))
(*.f64 (/.f64 1 a) b)
(/.f64 -1/2 (/.f64 a b))
(*.f64 b (/.f64 1 (neg.f64 a)))
(/.f64 1 (/.f64 (neg.f64 a) b))
(*.f64 (/.f64 a b) (/.f64 c a))
(/.f64 1 (*.f64 a (/.f64 -1 b)))
(.f64 (.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 (.f64 c (/.f64 a b)) (/.f64 1 a))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
(/.f64 1/2 (/.f64 a (/.f64 c (/.f64 (/.f64 b a) 2))))
(.f64 (/.f64 -1/4 (/.f64 a c)) (/.f64 (.f64 a -4) b))
(/.f64 (/.f64 (/.f64 (*.f64 -1/4 c) a) b) (/.f64 -1/4 a))
(/.f64 (*.f64 (/.f64 1/2 a) c) (/.f64 (/.f64 b a) 2))
(/.f64 1 (+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b)))
(.f64 (.f64 (*.f64 (/.f64 c b) a) 2) (/.f64 -1/2 a))
(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
(/.f64 1 (/.f64 a (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b)))))
(.f64 (/.f64 1/2 a) (/.f64 (.f64 c -1/2) (/.f64 b (*.f64 a -4))))
(/.f64 1 (/.f64 a (.f64 (/.f64 -1/2 (/.f64 b (.f64 a (*.f64 c -4)))) -1/2)))
(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a))
(.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (/.f64 1/2 a))

Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a))
(/.f64 (neg.f64 b) a)
(.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) (/.f64 1/2 a))
(/.f64 (neg.f64 c) b)

Calls

3 calls:

156.0ms	a
102.0ms	b
78.0ms	c

Results

Error	Segments	Branch
31.0b	8	`a`
11.7b	5	`b`
31.7b	4	`c`

Compiler

Compiled 301 to 171 computations (43.2% saved)

bsearch114.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
33.0ms	1.8496241883414223e-88	1.6467966421213976e-83
24.0ms	-2.6282397248904476e-95	-5.8056982098993275e-98
28.0ms	-1.976285248177336e-58	-3.985768986800181e-64
29.0ms	-6.081072917559601e-40	-1.669579567426193e-46

Results

73.0ms	534×	body	256	valid
17.0ms	133×	body	256	invalid
4.0ms	10×	body	2048	valid
3.0ms	8×	body	1024	valid
2.0ms	8×	body	512	valid

Compiler

Compiled 893 to 658 computations (26.3% saved)

regimes446.0ms (2.5%)

Counts

32 → 3

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 b (/.f64 1 a))
(/.f64 1 (/.f64 a b))
(/.f64 -1 (/.f64 a b))
(*.f64 (/.f64 1 a) b)
(/.f64 -1/2 (/.f64 a b))
(*.f64 b (/.f64 1 (neg.f64 a)))
(/.f64 1 (/.f64 (neg.f64 a) b))
(*.f64 (/.f64 a b) (/.f64 c a))
(/.f64 1 (*.f64 a (/.f64 -1 b)))
(.f64 (.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 (.f64 c (/.f64 a b)) (/.f64 1 a))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
(/.f64 1/2 (/.f64 a (/.f64 c (/.f64 (/.f64 b a) 2))))
(.f64 (/.f64 -1/4 (/.f64 a c)) (/.f64 (.f64 a -4) b))
(/.f64 (/.f64 (/.f64 (*.f64 -1/4 c) a) b) (/.f64 -1/4 a))
(/.f64 (*.f64 (/.f64 1/2 a) c) (/.f64 (/.f64 b a) 2))
(/.f64 1 (+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b)))
(.f64 (.f64 (*.f64 (/.f64 c b) a) 2) (/.f64 -1/2 a))
(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
(/.f64 1 (/.f64 a (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b)))))
(.f64 (/.f64 1/2 a) (/.f64 (.f64 c -1/2) (/.f64 b (*.f64 a -4))))
(/.f64 1 (/.f64 a (.f64 (/.f64 -1/2 (/.f64 b (.f64 a (*.f64 c -4)))) -1/2)))
(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a))

Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a))
(/.f64 (neg.f64 c) b)

Calls

3 calls:

268.0ms	a
90.0ms	b
77.0ms	c

Results

Error	Segments	Branch
31.0b	8	`a`
12.7b	3	`b`
31.7b	4	`c`

Compiler

Compiled 289 to 163 computations (43.6% saved)

bsearch57.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.8496241883414223e-88	1.6467966421213976e-83
25.0ms	-6.081072917559601e-40	-1.669579567426193e-46

Results

34.0ms	256×	body	256	valid
7.0ms	60×	body	256	invalid
4.0ms	11×	body	1024	valid
3.0ms	15×	body	512	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 485 to 352 computations (27.4% saved)

regimes151.0ms (0.8%)

Counts

31 → 2

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 b (/.f64 1 a))
(/.f64 1 (/.f64 a b))
(/.f64 -1 (/.f64 a b))
(*.f64 (/.f64 1 a) b)
(/.f64 -1/2 (/.f64 a b))
(*.f64 b (/.f64 1 (neg.f64 a)))
(/.f64 1 (/.f64 (neg.f64 a) b))
(*.f64 (/.f64 a b) (/.f64 c a))
(/.f64 1 (*.f64 a (/.f64 -1 b)))
(.f64 (.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 (.f64 c (/.f64 a b)) (/.f64 1 a))
(/.f64 -1 (-.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 1 (+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b)))
(/.f64 1/2 (/.f64 a (/.f64 c (/.f64 (/.f64 b a) 2))))
(.f64 (/.f64 -1/4 (/.f64 a c)) (/.f64 (.f64 a -4) b))
(/.f64 (/.f64 (/.f64 (*.f64 -1/4 c) a) b) (/.f64 -1/4 a))
(/.f64 (*.f64 (/.f64 1/2 a) c) (/.f64 (/.f64 b a) 2))
(/.f64 1 (+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b)))
(.f64 (.f64 (*.f64 (/.f64 c b) a) 2) (/.f64 -1/2 a))
(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 a 2))
(/.f64 1 (/.f64 a (.f64 (.f64 -1/4 c) (*.f64 -4 (/.f64 a b)))))
(.f64 (/.f64 1/2 a) (/.f64 (.f64 c -1/2) (/.f64 b (*.f64 a -4))))
(/.f64 1 (/.f64 a (.f64 (/.f64 -1/2 (/.f64 b (.f64 a (*.f64 c -4)))) -1/2)))
(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))
(.f64 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)) (/.f64 -1/2 a))

Outputs
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)

Calls

3 calls:

69.0ms	a
42.0ms	c
31.0ms	b

Results

Error	Segments	Branch
33.7b	5	`a`
23.2b	2	`b`
34.8b	3	`c`

Compiler

Compiled 277 to 155 computations (44% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	5.192691735442896e-194	3.3748477057842524e-189

Results

15.0ms	116×	body	256	valid
7.0ms	55×	body	256	invalid
2.0ms	5×	body	1024	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 154 to 115 computations (25.3% saved)

regimes13.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)

Outputs
(/.f64 (neg.f64 c) b)

Calls

3 calls:

5.0ms	c
4.0ms	b
4.0ms	a

Results

Error	Segments	Branch
36.8b	1	`a`
36.8b	1	`b`
36.8b	1	`c`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes11.0ms (0.1%)

Accuracy

Total -7.0b remaining (-12.5%)

Threshold costs -7.0b (-12.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)

Outputs
(/.f64 c b)

Calls

3 calls:

3.0ms	c
3.0ms	a
3.0ms	b

Results

Error	Segments	Branch
56.1b	1	`a`
56.1b	1	`b`
56.1b	1	`c`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
10×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	262
1	97	258
2	108	258
3	114	258
4	116	258

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -2299999999999999925339244499130768822702990752387032831876828752607262506923225576232479749232922510560753059039906103296) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8224062725184125/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8214565720323785/288230376151711744) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8530277826653747/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7070527394739557/12855504354071922204335696738729300820177623950262342682411008) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -60790846849591/28948022309329048855892746252171976963317496166410141009864396001978282409984) (.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) a)) (if (<=.f64 b -239551343442931/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 (neg.f64 b) a) (if (<=.f64 b 8967727971610349/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -819538402572085/1606938044258990275541962092341162602522202993782792835301376) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1640438043587259/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 8547720840016107/164379246923386672101280933840004020798448118838224183109321278220897879821783775691052079258674639100843217776755569303531857257818243870722744211582871276561100739722763893693489492433885084914727914116743168) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 c b)
(/.f64 b a)

Outputs
(if (<=.f64 b -2299999999999999925339244499130768822702990752387032831876828752607262506923225576232479749232922510560753059039906103296) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8224062725184125/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -2299999999999999925339244499130768822702990752387032831876828752607262506923225576232479749232922510560753059039906103296) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8224062725184125/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 c a))))) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -2299999999999999925339244499130768822702990752387032831876828752607262506923225576232479749232922510560753059039906103296) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8224062725184125/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 c a)))) b) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8214565720323785/288230376151711744) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8530277826653747/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8214565720323785/288230376151711744) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8530277826653747/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7070527394739557/12855504354071922204335696738729300820177623950262342682411008) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -60790846849591/28948022309329048855892746252171976963317496166410141009864396001978282409984) (.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) a)) (if (<=.f64 b -239551343442931/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 (neg.f64 b) a) (if (<=.f64 b 8967727971610349/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -7070527394739557/12855504354071922204335696738729300820177623950262342682411008) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -60790846849591/28948022309329048855892746252171976963317496166410141009864396001978282409984) (.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) a)) (if (<=.f64 b -239551343442931/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 (neg.f64 b) a) (if (<=.f64 b 8967727971610349/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -819538402572085/1606938044258990275541962092341162602522202993782792835301376) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1640438043587259/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 8547720840016107/164379246923386672101280933840004020798448118838224183109321278220897879821783775691052079258674639100843217776755569303531857257818243870722744211582871276561100739722763893693489492433885084914727914116743168) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 c b)
(/.f64 b a)

Compiler

Compiled 198 to 129 computations (34.8% saved)

soundness1.1s (6%)

Algorithm

5×	egg-herbie

Rules

852×	`fma-def_binary64`
852×	`fma-def_binary64`
852×	`fma-def_binary64`
747×	`fma-neg_binary64`
747×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	34	22
2	69	22
3	161	22
4	257	22
5	415	22
6	730	22
7	1322	22
8	2632	22
9	3914	22
10	5780	22
11	6909	22
12	7751	22
13	7839	22
0	620	6631
1	1576	6388
2	6038	6380
0	15	26
1	34	22
2	69	22
3	161	22
4	257	22
5	415	22
6	730	22
7	1322	22
8	2632	22
9	3914	22
10	5780	22
11	6909	22
12	7751	22
13	7839	22
0	15	26
1	34	22
2	69	22
3	161	22
4	257	22
5	415	22
6	730	22
7	1322	22
8	2632	22
9	3914	22
10	5780	22
11	6909	22
12	7751	22
13	7839	22
0	620	6631
1	1576	6388
2	6038	6380

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 551 to 389 computations (29.4% saved)

end73.0ms (0.4%)

Compiler: Compiled 177 to 85 computations (52% saved)