Details

analyze355.0ms (5.2%)

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)

sample2.9s (41.6%)

Results

793.0ms	1153×	body	2048	valid
754.0ms	5298×	body	64	valid
401.0ms	722×	body	1024	valid
315.0ms	393×	body	4096	valid
263.0ms	1563×	body	64	invalid
209.0ms	398×	body	512	valid
66.0ms	188×	body	256	valid
24.0ms	104×	body	128	valid

preprocess52.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

531×	`associate-/l*_binary64`
461×	`fma-neg_binary64`
449×	`div-sub_binary64`
428×	`associate-/r*_binary64`
323×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	115	96
2	308	96
3	784	88
4	1482	88
5	2839	88
6	6540	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 (.f64 4 a) c)))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) a))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -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 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4)))) (*.f64 b 2))
(.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 (.f64 b c) -4 (*.f64 a a)))) b))
(.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 (.f64 b c) -4 (*.f64 a a)))))
(.f64 (+.f64 a (sqrt.f64 (fma.f64 a a (.f64 (*.f64 b c) -4)))) (/.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 (.f64 4 a) c)))) (.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 c 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) c))
(.f64 (/.f64 -1/2 c) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -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 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 (.f64 b a) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 (.f64 b a) -4 (.f64 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 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))))
(.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1217×	`fma-neg_binary64`
846×	`fma-def_binary64`
775×	`div-sub_binary64`
405×	`times-frac_binary64`
325×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	100	24
3	259	22
4	460	22
5	840	22
6	1790	22
7	2999	22
8	3682	22
9	4742	22
10	6388	22
11	7343	22
12	7469	22
13	7564	22
14	7596	22

Stop Event

1×	node limit

Counts

1 → 2

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

34.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	34.0b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	34.0b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	1.4b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	21.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series30.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
2.0ms	b	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
2.0ms	b	@	inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
1.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite135.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`fma-def_binary64`
382×	`fma-neg_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
229×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	347	62
2	5107	59

Stop Event

1×	node limit

Counts

4 → 394

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 2 a))

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

simplify100.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

812×	`times-frac_binary64`
721×	`fma-neg_binary64`
598×	`fma-def_binary64`
536×	`associate-r_binary64`
493×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2117
1	425	2016
2	1423	1923
3	7534	1923

Stop Event

1×	node limit

Counts

490 → 471

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))))
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 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(+.f64 (.f64 -1 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (.f64 -1 b))
(+.f64 (.f64 -1 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (*.f64 -1 b)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (+.f64 (.f64 -1 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 -1 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 -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 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 -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 -1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)))))
(*.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 -1/4 (/.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 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)))))

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

prune1.1s (15.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	459	12	471
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	460	13	473

Error

3.9b

Counts

473 → 13

Alt Table

Status	Error	Program
	55.7b	(/.f64 (-.f64 (neg.f64 b) (-.f64 (.f64 2 (/.f64 c (/.f64 b a))) b)) (.f64 2 a))
	34.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 -4 (pow.f64 (cbrt.f64 (.f64 a c)) 2)) (cbrt.f64 (.f64 a c)) (.f64 b b)))) (*.f64 2 a))
	36.1b	(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (.f64 a 2)) 2)) (/.f64 b (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))
	44.8b	(/.f64 (neg.f64 b) a)
	55.0b	(cbrt.f64 (pow.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3))
	38.6b	(/.f64 (neg.f64 c) b)
	34.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (.f64 b b)))) (.f64 2 a))
	46.4b	(pow.f64 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) 1/2)) -1)
	46.7b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 a 2)) 2)) (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (cbrt.f64 (*.f64 a 2))))
	44.9b	(-.f64 (/.f64 c b) (/.f64 b a))
	60.2b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) 3) (pow.f64 (*.f64 a 2) 3)))
▶	34.0b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
	50.1b	(+.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)))))

Compiler

Compiled 13947 to 7999 computations (42.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
✓	1.4b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	21.1b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series14.0ms (0.2%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
1.0ms	b	@	0	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
1.0ms	a	@	-inf	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
1.0ms	c	@	inf	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`prod-diff_binary64`
628×	`log-prod_binary64`
328×	`fma-def_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	279	51
2	3630	48

Stop Event

1×	node limit

Counts

3 → 130

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

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

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

707×	`times-frac_binary64`
653×	`unswap-sqr_binary64`
609×	`fma-neg_binary64`
553×	`fma-def_binary64`
497×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1710
1	396	1664
2	1299	1563
3	6705	1536

Stop Event

1×	node limit

Counts

190 → 199

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)))))
(sqrt.f64 (.f64 -4 (.f64 c a)))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (*.f64 c a))))))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 3))))))
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))))
(sqrt.f64 (.f64 -4 (.f64 c a)))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (*.f64 c a))))) b))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (+.f64 b (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))))
(*.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 (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 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 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3) a))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))))
(*.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 -1/4 (/.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 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)))))

Outputs
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)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
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(+.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 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 b 2 (/.f64 (.f64 (*.f64 -2 c) a) b)))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) a)) (*.f64 b 2))
(+.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 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (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 c) a) b))))
(fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) a)) (*.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) a)) (.f64 b 2)))
(*.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 c) a) b))
(fma.f64 b 2 (.f64 (/.f64 -2 b) (.f64 c a)))
(+.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 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 b 2 (/.f64 (.f64 (*.f64 -2 c) a) b)))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) a)) (*.f64 b 2))
(+.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 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (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 c) a) b))))
(fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) a)) (*.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))) a)) (.f64 b 2)))
(.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(.f64 -1/2 (/.f64 (sqrt.f64 (.f64 (*.f64 c a) -4)) a))
(.f64 -1/2 (/.f64 (sqrt.f64 (.f64 (*.f64 -4 a) c)) a))
(.f64 (/.f64 -1/2 a) (sqrt.f64 (.f64 c (*.f64 a -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))
(.f64 -1/2 (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (.f64 (*.f64 c a) -4)) a)))
(.f64 -1/2 (+.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 -4 a) c)) a) (/.f64 b a)))
(.f64 -1/2 (+.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (.f64 (.f64 c a) -4)))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 (*.f64 c a) -4)) a))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (/.f64 (sqrt.f64 (.f64 (.f64 -4 a) c)) a) (.f64 (/.f64 -1/4 (sqrt.f64 (.f64 (.f64 -4 a) c))) (/.f64 (.f64 b b) a))))
(fma.f64 -1/2 (+.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (/.f64 b a)) (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 (/.f64 b a) -1/4)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3) a))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))))
(fma.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) 3))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (.f64 (.f64 c a) -4)))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) a)))))
(fma.f64 1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 (.f64 -4 a) c)) 3)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (/.f64 (sqrt.f64 (.f64 (.f64 -4 a) c)) a) (.f64 (/.f64 -1/4 (sqrt.f64 (.f64 (.f64 -4 a) c))) (/.f64 (.f64 b b) a)))))
(fma.f64 1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3)) (fma.f64 -1/2 (+.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (/.f64 b a)) (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 (/.f64 b a) -1/4))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.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 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (pow.f64 c 3) 2) (/.f64 (pow.f64 b 5) (.f64 a a)))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 c b)) (/.f64 b a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 c b))) (/.f64 b 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)))
(.f64 -1 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) 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 -2 (/.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) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(-.f64 (.f64 -2 (.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.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))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -2 (.f64 c c)) (.f64 a a)) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 -2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))
(-.f64 (fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (.f64 -2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.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 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (pow.f64 c 3) 2) (/.f64 (pow.f64 b 5) (.f64 a a)))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 c b)) (/.f64 b a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.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 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (pow.f64 c 3) 2) (/.f64 (pow.f64 b 5) (.f64 a a)))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 c b)) (/.f64 b a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 c b))) (/.f64 b a))

prune289.0ms (4.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	193	6	199
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	201	11	212

Error

1.8b

Counts

212 → 11

Alt Table

Status	Error	Program
	44.8b	(/.f64 (neg.f64 b) a)
	38.6b	(/.f64 (neg.f64 c) b)
	55.7b	(/.f64 (-.f64 (neg.f64 b) (-.f64 (.f64 2 (/.f64 c (/.f64 b a))) b)) (.f64 2 a))
	34.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 -4 (pow.f64 (cbrt.f64 (.f64 a c)) 2)) (cbrt.f64 (.f64 a c)) (.f64 b b)))) (*.f64 2 a))
	36.1b	(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (.f64 a 2)) 2)) (/.f64 b (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))
	44.6b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 (.f64 a c) -4 (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
▶	32.4b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	45.0b	(.f64 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
	47.9b	(cbrt.f64 (pow.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3))
	35.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 a c) -4 (.f64 b b)) 1/4) (pow.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)) 1/4) b) (/.f64 -1/2 a))
	50.1b	(+.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)))))

Compiler

Compiled 5121 to 3186 computations (37.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
✓	1.0b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	11.4b	(sqrt.f64 (.f64 a (.f64 c -4)))

series127.0ms (1.8%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
37.0ms	a	@	0	(sqrt.f64 (.f64 a (.f64 c -4)))
26.0ms	a	@	inf	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
6.0ms	a	@	inf	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
6.0ms	c	@	inf	(/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
6.0ms	a	@	-inf	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`log-prod_binary64`
689×	`prod-diff_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	323	66
2	4230	66

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

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

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

814×	`fma-def_binary64`
804×	`associate-l_binary64`
677×	`associate-/l*_binary64`
652×	`associate-/r*_binary64`
309×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1723
1	533	1562
2	1893	1416
3	7998	1416

Stop Event

1×	node limit

Counts

211 → 241

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -4 (.f64 c a)))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (*.f64 c a))))) b))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (+.f64 b (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))))
(*.f64 2 b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 2 b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (*.f64 2 b)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 2 b))))
(.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8)) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2)) (pow.f64 b 7))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)))))
(*.f64 2 b)
(*.f64 2 b)
(*.f64 -1 (/.f64 b a))
(.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3) a))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))))
(*.f64 -1 (/.f64 b a))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (*.f64 -1 (/.f64 b a)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (*.f64 -1 (/.f64 b a))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (*.f64 -1 (/.f64 b a)))))
(.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8)) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))))))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 a b))
(.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (*.f64 c a)))))
(+.f64 (.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))))) (+.f64 (.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2)))))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)))) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))))) (+.f64 (.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) a) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) a)) (.f64 1/128 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) a))) (pow.f64 b 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) a) (pow.f64 b 5))))))
(.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))
(+.f64 (/.f64 a b) (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))))
(+.f64 (/.f64 a b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a)) (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a))) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2)))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) a)) (+.f64 (.f64 -2 (/.f64 (.f64 a (+.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8)) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2))) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a)) (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a))))))) (pow.f64 b 5))) (+.f64 (/.f64 a b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a)) (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a))) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))))))
(*.f64 -1 (/.f64 a b))

Outputs
(sqrt.f64 (.f64 -4 (.f64 c a)))
(sqrt.f64 (.f64 a (.f64 -4 c)))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (*.f64 c a))))) b))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b))
(+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 a (*.f64 -4 c)))) b))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) b) b))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (+.f64 b (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (+.f64 b (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))))
(+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 a (.f64 -4 c)))) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 3)) b)))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) b) b) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) (sqrt.f64 (.f64 -4 (*.f64 c a)))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) (*.f64 b 2))
(fma.f64 b 2 (/.f64 (.f64 1/2 (.f64 a (*.f64 -4 c))) b))
(fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (*.f64 2 b)))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) (*.f64 b 2)))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 -4 c)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) (*.f64 b 2)))
(+.f64 (/.f64 (.f64 (.f64 c a) (.f64 (.f64 c a) -2)) (pow.f64 b 3)) (fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 2 b))))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5)) (*.f64 b 2))))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 -4 c)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) (fma.f64 b 2 (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6))))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (pow.f64 b 5)) (/.f64 (.f64 (.f64 c a) (.f64 (.f64 c a) -2)) (pow.f64 b 3))) (fma.f64 b 2 (/.f64 (.f64 (.f64 c a) -2) b)))
(.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b) -1/2)
(/.f64 -1/2 (/.f64 b (.f64 a (.f64 -4 c))))
(/.f64 (.f64 (.f64 c a) 2) b)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b) -1/2))
(fma.f64 (/.f64 (.f64 a (.f64 -4 c)) b) -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 4) 1/8) (pow.f64 b 3)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) 1/8 (/.f64 (.f64 (.f64 c a) 2) b))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b) -1/2)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) 1/8 (fma.f64 (/.f64 (.f64 a (.f64 -4 c)) b) -1/2 (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 6) (pow.f64 b 5)) -1/16)))
(fma.f64 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (pow.f64 b 5)) -1/16 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) 1/8 (/.f64 (.f64 (.f64 c a) 2) b)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8)) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2)) (pow.f64 b 7))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2)) (pow.f64 b 7)) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) -1/2))))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) 1/8 (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 8) (.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 8) 1/64)) (pow.f64 b 7)) (fma.f64 (/.f64 (.f64 a (.f64 -4 c)) b) -1/2 (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6) (pow.f64 b 5)) -1/16))))
(fma.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) 5/64) (pow.f64 b 7)) (fma.f64 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (pow.f64 b 5)) -1/16 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) 1/8 (/.f64 (.f64 (*.f64 c a) 2) b))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(.f64 -1/2 (/.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) a))
(.f64 (/.f64 -1/2 a) (sqrt.f64 (.f64 -4 (*.f64 c a))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))
(.f64 -1/2 (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a)))
(.f64 -1/2 (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) a) (/.f64 (.f64 (.f64 b b) -1/4) (.f64 a (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(fma.f64 -1/2 (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) (.f64 (/.f64 b a) -1/4)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3) a))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))))
(fma.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (/.f64 (.f64 b b) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 -1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))))
(fma.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 3))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) a) (/.f64 (.f64 (.f64 b b) -1/4) (.f64 a (sqrt.f64 (.f64 a (.f64 -4 c))))))))
(fma.f64 1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) (fma.f64 -1/2 (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) (.f64 (/.f64 b a) -1/4))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (*.f64 a b)) (neg.f64 (/.f64 b a)))
(-.f64 (.f64 (/.f64 -1/4 a) (/.f64 (.f64 a (*.f64 -4 c)) b)) (/.f64 b a))
(-.f64 (/.f64 (.f64 (.f64 c a) 1) (*.f64 a b)) (/.f64 b a))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (*.f64 -1 (/.f64 b a))))
(fma.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (neg.f64 (/.f64 b a))))
(fma.f64 -1/4 (/.f64 (.f64 a (.f64 -4 c)) (.f64 a b)) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3))) (/.f64 (neg.f64 b) a)))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (/.f64 (.f64 (.f64 c a) 1) (.f64 a b))) (/.f64 b a))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (*.f64 a (pow.f64 b 3))) (neg.f64 (/.f64 b a)))))
(fma.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 -1/4 (/.f64 (.f64 a (.f64 -4 c)) (.f64 a b)) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (*.f64 a (pow.f64 b 3))) (/.f64 (neg.f64 b) a))))
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(.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)) 1/4)
(.f64 (/.f64 (.f64 a (.f64 -4 c)) (.f64 a b)) 1/4)
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)) (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3))) (.f64 (/.f64 (.f64 a (.f64 -4 c)) (*.f64 a b)) 1/4))
(fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (/.f64 (.f64 (.f64 c a) -1) (.f64 a b)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))))))
(fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) 1/32)))
(fma.f64 (/.f64 (.f64 a (.f64 -4 c)) (.f64 a b)) 1/4 (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6) (.f64 a (pow.f64 b 5))) 1/32)))
(fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (fma.f64 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (.f64 a (pow.f64 b 5))) 1/32 (/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))))
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(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) 1/32))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 8) (.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 8) 1/64)) (.f64 a (pow.f64 b 7))) (fma.f64 (/.f64 (.f64 a (.f64 -4 c)) (.f64 a b)) 1/4 (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6) (.f64 a (pow.f64 b 5))) 1/32))))
(fma.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) 5/64) (.f64 a (pow.f64 b 7))) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (fma.f64 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (.f64 a (pow.f64 b 5))) 1/32 (/.f64 (.f64 (.f64 c a) -1) (*.f64 a b)))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (*.f64 c a)))))
(/.f64 (.f64 a -2) (sqrt.f64 (.f64 a (*.f64 -4 c))))
(/.f64 (.f64 a -2) (sqrt.f64 (.f64 -4 (*.f64 c a))))
(+.f64 (.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2))))
(fma.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a)))) (/.f64 (.f64 2 (.f64 a b)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))
(fma.f64 2 (/.f64 b (/.f64 (.f64 a (.f64 -4 c)) a)) (/.f64 (.f64 a -2) (sqrt.f64 (.f64 a (*.f64 -4 c)))))
(fma.f64 2 (/.f64 a (/.f64 a (/.f64 b (.f64 -4 c)))) (/.f64 (.f64 a -2) (sqrt.f64 (.f64 -4 (.f64 c a)))))
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(fma.f64 2 (.f64 (.f64 b b) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) -1/2)) (fma.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a)))) (/.f64 (.f64 2 (.f64 a b)) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2))))
(fma.f64 2 (.f64 (.f64 b b) (/.f64 (.f64 a -1/2) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 3))) (fma.f64 2 (/.f64 b (/.f64 (.f64 a (.f64 -4 c)) a)) (/.f64 (.f64 a -2) (sqrt.f64 (.f64 a (.f64 -4 c))))))
(fma.f64 2 (/.f64 a (/.f64 a (/.f64 b (.f64 -4 c)))) (fma.f64 (.f64 b b) (/.f64 (neg.f64 a) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) (/.f64 (.f64 a -2) (sqrt.f64 (.f64 -4 (*.f64 c a))))))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)))) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) (.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))))) (+.f64 (.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2))))))
(fma.f64 2 (.f64 (pow.f64 b 3) (fma.f64 -1 (/.f64 (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) -1/2) (sqrt.f64 (.f64 -4 (.f64 c a)))) (.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))))) (fma.f64 2 (.f64 (.f64 b b) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) -1/2)) (fma.f64 -2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a)))) (/.f64 (.f64 2 (.f64 a b)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))))
(fma.f64 (.f64 2 (-.f64 (/.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) a)) (/.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 3)) (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) -1/2)))) (pow.f64 b 3) (fma.f64 2 (.f64 (.f64 b b) (/.f64 (.f64 a -1/2) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 3))) (fma.f64 2 (/.f64 b (/.f64 (.f64 a (.f64 -4 c)) a)) (/.f64 (.f64 a -2) (sqrt.f64 (.f64 a (*.f64 -4 c)))))))
(fma.f64 (pow.f64 b 3) (+.f64 (neg.f64 (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) -1)) (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) -1)) (fma.f64 2 (/.f64 a (/.f64 a (/.f64 b (.f64 -4 c)))) (fma.f64 (.f64 b b) (/.f64 (neg.f64 a) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) (/.f64 (.f64 a -2) (sqrt.f64 (.f64 -4 (*.f64 c a)))))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) a) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 a b) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) (/.f64 (pow.f64 b 3) a))))
(-.f64 (/.f64 (.f64 a (.f64 a (*.f64 -4 c))) (/.f64 (pow.f64 b 3) 1/4)) (/.f64 a b))
(.f64 (/.f64 a b) (+.f64 (/.f64 (.f64 (.f64 c a) -1) (.f64 b b)) -1))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) a) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (/.f64 (pow.f64 b 3) a)) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (/.f64 (pow.f64 b 5) a)))))
(-.f64 (fma.f64 -1/8 (/.f64 a (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4))) (/.f64 (.f64 a (.f64 a (*.f64 -4 c))) (/.f64 (pow.f64 b 3) 1/4))) (/.f64 a b))
(fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (.f64 (/.f64 a b) (+.f64 (/.f64 (.f64 (.f64 c a) -1) (*.f64 b b)) -1)))
(+.f64 (.f64 -1 (/.f64 a b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) a)) (.f64 1/128 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) a))) (pow.f64 b 7))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) a) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (/.f64 (pow.f64 b 3) a)) (fma.f64 2 (/.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6)) 5/128) (pow.f64 b 7)) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (/.f64 (pow.f64 b 5) a))))))
(-.f64 (fma.f64 1/4 (.f64 (/.f64 (.f64 a (.f64 -4 c)) (pow.f64 b 3)) a) (fma.f64 2 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6)) (/.f64 (pow.f64 b 7) 5/128)) (/.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 4)) (/.f64 (pow.f64 b 5) a)))) (/.f64 a b))
(+.f64 (.f64 (/.f64 (.f64 (.f64 c a) (.f64 (.f64 c a) -2)) (pow.f64 b 5)) a) (+.f64 (/.f64 (.f64 (.f64 a (pow.f64 (.f64 -4 (.f64 c a)) 3)) 5/64) (pow.f64 b 7)) (.f64 (/.f64 a b) (+.f64 (/.f64 (.f64 (.f64 c a) -1) (*.f64 b b)) -1))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 c a) -1) (pow.f64 b 3)) a) (+.f64 (/.f64 (.f64 (.f64 a (pow.f64 (.f64 -4 (.f64 c a)) 3)) 5/64) (pow.f64 b 7)) (-.f64 (.f64 (/.f64 (.f64 (.f64 c a) (.f64 (.f64 c a) -2)) (pow.f64 b 5)) a) (/.f64 a b))))
(.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))
(/.f64 (.f64 4 (.f64 a b)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))
(.f64 4 (/.f64 b (/.f64 (.f64 a (*.f64 -4 c)) a)))
(.f64 4 (/.f64 a (/.f64 a (/.f64 b (.f64 -4 c)))))
(+.f64 (/.f64 a b) (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))))
(+.f64 (/.f64 a b) (/.f64 (.f64 4 (.f64 a b)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))
(fma.f64 4 (/.f64 b (/.f64 (.f64 a (.f64 -4 c)) a)) (/.f64 a b))
(fma.f64 4 (/.f64 a (/.f64 a (/.f64 b (*.f64 -4 c)))) (/.f64 a b))
(+.f64 (/.f64 a b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a)) (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a))) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2)))))
(+.f64 (/.f64 a b) (fma.f64 -2 (/.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) 1/8) (pow.f64 b 3)) (/.f64 (.f64 4 (.f64 a b)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))))
(+.f64 (.f64 -2 (/.f64 (.f64 a (.f64 a (.f64 -4 c))) (/.f64 (pow.f64 b 3) 1/8))) (fma.f64 4 (/.f64 b (/.f64 (.f64 a (.f64 -4 c)) a)) (/.f64 a b)))
(fma.f64 4 (/.f64 a (/.f64 a (/.f64 b (.f64 -4 c)))) (fma.f64 -2 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 (*.f64 c a) -1/2))) (/.f64 a b)))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) a)) (+.f64 (.f64 -2 (/.f64 (.f64 a (+.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8)) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2))) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a)) (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a))))))) (pow.f64 b 5))) (+.f64 (/.f64 a b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a)) (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) a))) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))))))
(fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (fma.f64 -2 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (fma.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2)))) (.f64 1/4 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) 1/8))))) (pow.f64 b 5)) (+.f64 (/.f64 a b) (fma.f64 -2 (/.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) 1/8) (pow.f64 b 3)) (/.f64 (.f64 4 (.f64 a b)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))))
(fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 a (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4)) (fma.f64 -2 (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4)) (fma.f64 1/16 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 8) (.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 8) 1/64))) (.f64 1/4 (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4)) 1/8)))) (pow.f64 b 5)) (+.f64 (.f64 -2 (/.f64 (.f64 a (.f64 a (.f64 -4 c))) (/.f64 (pow.f64 b 3) 1/8))) (fma.f64 4 (/.f64 b (/.f64 (.f64 a (.f64 -4 c)) a)) (/.f64 a b))))
(+.f64 (fma.f64 4 (/.f64 a (/.f64 a (/.f64 b (.f64 -4 c)))) (fma.f64 -2 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) -1/2))) (/.f64 a b))) (/.f64 (fma.f64 -2 (fma.f64 -2 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) 5/64) (/.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4))) (.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 1/32)) (.f64 a (.f64 (.f64 c a) (.f64 (.f64 c a) -2)))) (pow.f64 b 5)))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)

prune360.0ms (5.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	236	5	241
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	240	12	252

Error

1.8b

Counts

252 → 12

Alt Table

Status	Error	Program
	44.8b	(/.f64 (neg.f64 b) a)
	38.6b	(/.f64 (neg.f64 c) b)
	45.0b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) -1/2)))
▶	32.3b	(.f64 (.f64 (/.f64 1 a) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))) -1/2)
	55.7b	(/.f64 (-.f64 (neg.f64 b) (-.f64 (.f64 2 (/.f64 c (/.f64 b a))) b)) (.f64 2 a))
	34.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 -4 (pow.f64 (cbrt.f64 (.f64 a c)) 2)) (cbrt.f64 (.f64 a c)) (.f64 b b)))) (*.f64 2 a))
	36.1b	(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (.f64 a 2)) 2)) (/.f64 b (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))
	32.4b	(/.f64 1 (.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b))) a))
	44.6b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 (.f64 a c) -4 (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
	43.0b	(/.f64 1 (fma.f64 4 (/.f64 a (/.f64 a (/.f64 b (.f64 -4 c)))) (fma.f64 -2 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 (*.f64 c a) -1/2))) (/.f64 a b))))
	35.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 a c) -4 (.f64 b b)) 1/4) (pow.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)) 1/4) b) (/.f64 -1/2 a))
	41.1b	(/.f64 1 (fma.f64 4 (/.f64 a (/.f64 a (/.f64 b (*.f64 -4 c)))) (/.f64 a b)))

Compiler

Compiled 6814 to 4597 computations (32.5% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 a) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))
✓	1.0b	(+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))
	11.4b	(sqrt.f64 (.f64 a (.f64 c -4)))

series21.0ms (0.3%)

Counts

2 → 28

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(.f64 (/.f64 1 a) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))
3.0ms	a	@	-inf	(.f64 (/.f64 1 a) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))
1.0ms	c	@	inf	(.f64 (/.f64 1 a) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))
1.0ms	c	@	-inf	(.f64 (/.f64 1 a) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))
1.0ms	a	@	inf	(.f64 (/.f64 1 a) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b)))

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`prod-diff_binary64`
673×	`log-prod_binary64`
307×	`fma-def_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	279	33
2	3699	33

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

723×	`times-frac_binary64`
705×	`unswap-sqr_binary64`
417×	`associate-/l*_binary64`
384×	`fma-def_binary64`
339×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	1026
1	293	946
2	903	860
3	4908	790
4	5698	769
5	7455	769

Stop Event

1×	node limit

Counts

151 → 167

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -4 (.f64 c a)))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (*.f64 c a))))) b))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (+.f64 b (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))))
(*.f64 2 b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 2 b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (*.f64 2 b)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 2 b))))
(.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8)) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2)) (pow.f64 b 7))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)))))
(*.f64 2 b)
(*.f64 2 b)
(*.f64 2 (/.f64 b a))
(/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)
(+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (.f64 1/2 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3) a))))))
(*.f64 2 (/.f64 b a))
(+.f64 (.f64 2 (/.f64 b a)) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (*.f64 a b))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 2 (/.f64 b a)) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (*.f64 a b)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 2 (/.f64 b a)) (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (*.f64 a b))))))
(.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2) (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))))))
(*.f64 2 (/.f64 b a))

Outputs
(sqrt.f64 (.f64 -4 (.f64 c a)))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (*.f64 c a))))) b))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) b))
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) b) (+.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) b))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (+.f64 b (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) b) (/.f64 (.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) b)))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) b) b) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) (sqrt.f64 (.f64 -4 (*.f64 c a)))))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 b (.f64 (.f64 (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) b) (+.f64 1/2 (/.f64 (.f64 (.f64 b b) -1/8) (.f64 -4 (.f64 c a)))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 2 b))
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(fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 (.f64 -1/8 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))))))
(fma.f64 1/2 (/.f64 (/.f64 (fma.f64 1/16 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) 1/64)) (pow.f64 b 7)) a) (fma.f64 -1/2 (/.f64 (.f64 -4 (.f64 c a)) (.f64 a b)) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (/.f64 -1/16 (/.f64 (.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6))))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 c a) 2) b) a) (fma.f64 1/2 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) 5/64) (pow.f64 b 7)) a) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (.f64 a (pow.f64 b 5))) (/.f64 (.f64 (.f64 (.f64 c a) 2) (.f64 c a)) (*.f64 a (pow.f64 b 3))))))
(+.f64 (fma.f64 -1/16 (/.f64 (.f64 -64 (pow.f64 (.f64 c a) 3)) (.f64 a (pow.f64 b 5))) (.f64 (.f64 1 (/.f64 (.f64 -4 c) b)) (+.f64 -1/2 (/.f64 (.f64 -1/2 (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 (pow.f64 (.f64 -4 (.f64 c a)) 4) 5/128) (*.f64 a (pow.f64 b 7))))
(+.f64 (fma.f64 -1/16 (/.f64 (.f64 -64 (pow.f64 (.f64 c a) 3)) (.f64 a (pow.f64 b 5))) (.f64 (/.f64 (.f64 -4 c) b) (+.f64 -1/2 (/.f64 (.f64 -1/2 (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 (pow.f64 (.f64 -4 (.f64 c a)) 4) 5/128) (.f64 a (pow.f64 b 7))))
(*.f64 2 (/.f64 b a))
(/.f64 (*.f64 b 2) a)
(*.f64 (/.f64 2 a) b)

prune285.0ms (4.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	197	12	209

Error

1.8b

Counts

209 → 12

Alt Table

Status	Error	Program
	44.8b	(/.f64 (neg.f64 b) a)
	38.6b	(/.f64 (neg.f64 c) b)
	55.7b	(/.f64 (-.f64 (neg.f64 b) (-.f64 (.f64 2 (/.f64 c (/.f64 b a))) b)) (.f64 2 a))
	36.1b	(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (.f64 a 2)) 2)) (/.f64 b (cbrt.f64 (.f64 a 2))) (neg.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))
	32.4b	(/.f64 1 (.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 a (*.f64 c -4))) b))) a))
	32.3b	(.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) a) -1/2)
	44.6b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 (.f64 a c) -4 (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
	38.4b	(.f64 (.f64 (/.f64 1 a) (+.f64 b (hypot.f64 (cbrt.f64 (pow.f64 (.f64 a (.f64 c -4)) 3/2)) b))) -1/2)
	45.0b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))) -1/2)))
	43.0b	(/.f64 1 (fma.f64 4 (/.f64 a (/.f64 a (/.f64 b (.f64 -4 c)))) (fma.f64 -2 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 (*.f64 c a) -1/2))) (/.f64 a b))))
	35.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 a c) -4 (.f64 b b)) 1/4) (pow.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)) 1/4) b) (/.f64 -1/2 a))
	41.1b	(/.f64 1 (fma.f64 4 (/.f64 a (/.f64 a (/.f64 b (*.f64 -4 c)))) (/.f64 a b)))

Compiler

Compiled 5249 to 3471 computations (33.9% saved)

regimes312.0ms (4.5%)

Accuracy

Total -54.9b remaining (-603.5%)

Threshold costs -54.9b (-603.5%)

Counts

27 → 3

Calls

Call 1

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

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

Results

137.0ms	21.8b	`a`
36.0ms	9.1b	`b`
91.0ms	25.3b	`c`
35.0ms	12.8b	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 515 to 319 computations (38.1% saved)

bsearch219.0ms (3.2%)

Algorithm

2×	binary-search

Calls

2 calls:

158.0ms	b
60.0ms	b

Steps

Iters	Point		Range
9e+124	∈ [	8.607798498171876e+124	,	1.9689325645997897e+127	]
-1.9e-118	∈ [	-2.0721309073325645e-108	,	-1.8938308125123526e-118	]

Compiler

Compiled 519 to 376 computations (27.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	50
1	46	50
2	67	50
3	91	50
4	103	50
5	109	50
6	111	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -138099357616165312/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (neg.f64 c) b) (if (<=.f64 b 90000000000000008268771075461892042321696197736892436733898650513523650524483590200422475172147627005311294919748697309839360) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 b) a)))

Outputs

(if (<=.f64 b -138099357616165312/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (neg.f64 c) b) (if (<=.f64 b 90000000000000008268771075461892042321696197736892436733898650513523650524483590200422475172147627005311294919748697309839360) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 b) a)))

(if (<=.f64 b -2157802462752583/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 (neg.f64 c) b) (if (<=.f64 b 90000000000000008268771075461892042321696197736892436733898650513523650524483590200422475172147627005311294919748697309839360) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) (neg.f64 (/.f64 b a))))

(if (<=.f64 b -2157802462752583/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 (neg.f64 c) b) (if (<=.f64 b 90000000000000008268771075461892042321696197736892436733898650513523650524483590200422475172147627005311294919748697309839360) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)))) (*.f64 a 2)) (neg.f64 (/.f64 b a))))

end27.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 72 to 48 computations (33.3% saved)

Details

analyze355.0ms (5.2%)

sample2.9s (41.6%)

preprocess52.0ms (0.8%)

simplify79.0ms (1.2%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

series30.0ms (0.4%)

rewrite135.0ms (2%)

simplify100.0ms (1.5%)

prune1.1s (15.8%)

localize11.0ms (0.2%)

series14.0ms (0.2%)

rewrite78.0ms (1.1%)

simplify67.0ms (1%)

prune289.0ms (4.2%)

localize10.0ms (0.1%)

series127.0ms (1.8%)

rewrite95.0ms (1.4%)

simplify75.0ms (1.1%)

prune360.0ms (5.2%)

localize11.0ms (0.2%)

series21.0ms (0.3%)

rewrite69.0ms (1%)

simplify81.0ms (1.2%)

prune285.0ms (4.1%)

regimes312.0ms (4.5%)

bsearch219.0ms (3.2%)

simplify11.0ms (0.2%)

end27.0ms (0.4%)

Profiling