Details

analyze685.0ms (8.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.3s (27.9%)

Results

739.0ms	5398×	body	128	valid
607.0ms	1119×	body	2048	valid
320.0ms	733×	body	1024	valid
281.0ms	412×	body	4096	valid
155.0ms	1077×	body	128	invalid
134.0ms	413×	body	512	valid
42.0ms	181×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess45.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

807×	`fma-def_binary64`
679×	`div-sub_binary64`
295×	`fma-neg_binary64`
214×	`associate-/l*_binary64`
209×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	98	88
2	198	88
3	446	88
4	768	88
5	1261	88
6	2236	88
7	4458	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

747×	`fma-neg_binary64`
619×	`times-frac_binary64`
338×	`fma-def_binary64`
314×	`associate-/l*_binary64`
262×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	34	22
2	69	22
3	161	22
4	259	22
5	417	22
6	734	22
7	1326	22
8	2618	22
9	3877	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 -4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 b b))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (*.f64 a 2))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) a) -1/2)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))

prune4.0ms (0%)

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

32.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	32.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
▶	32.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize11.0ms (0.1%)

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))
✓	0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	22.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series121.0ms (1.5%)

Counts

4 → 96

Calls

36 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

277×	`log1p-udef_binary64`
173×	`add-sqr-sqrt_binary64`
166×	`*-un-lft-identity_binary64`
166×	`pow1_binary64`
162×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	343	62
2	4905	62

Stop Event

1×	node limit

Counts

4 → 158

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
467×	`associate-/l*_binary64`
432×	`fma-def_binary64`
422×	`associate-/r*_binary64`
142×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2241
1	402	2164
2	1403	2078

Stop Event

1×	node limit

Counts

254 → 232

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 (.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(-.f64 (+.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)))))) (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 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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))))) b)
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (+.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))))) b)
(-.f64 (+.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 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 1/2 (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))

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

prune183.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	225	7	232
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	226	8	234

Error

4.4b

Counts

234 → 8

Alt Table

Status	Error	Program
	41.1b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (.f64 2 a))
	45.9b	(/.f64 (neg.f64 b) a)
	55.5b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) 3) (pow.f64 (*.f64 a 2) 3)))
	40.5b	(/.f64 (neg.f64 c) b)
	43.5b	(pow.f64 (/.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))) -1)
▶	32.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	43.8b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (pow.f64 (cbrt.f64 (.f64 a 2)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (cbrt.f64 (*.f64 a 2))))
	46.1b	(-.f64 (/.f64 c b) (/.f64 b a))

Compiler

Compiled 6108 to 3552 computations (41.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	0.7b	(fma.f64 b b (.f64 a (.f64 c -4)))
✓	1.2b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)
✓	22.1b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

series121.0ms (1.5%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
9.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
8.0ms	c	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
7.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
6.0ms	a	@	-inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
142×	`add-sqr-sqrt_binary64`
136×	`*-un-lft-identity_binary64`
136×	`pow1_binary64`
132×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	281	59
2	3634	59

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
467×	`associate-/l*_binary64`
432×	`fma-def_binary64`
422×	`associate-/r*_binary64`
142×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2241
1	402	2164
2	1403	2078

Stop Event

1×	node limit

Counts

254 → 232

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 (.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(-.f64 (+.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)))))) (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 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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))))) b)
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 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 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (+.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))))) b)
(-.f64 (+.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 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.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 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 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 1/2 (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))

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

prune165.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	225	7	232
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	230	10	240

Error

4.4b

Counts

240 → 10

Alt Table

Status	Error	Program
▶	30.2b	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2) a)
	46.1b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.5b	(/.f64 (-.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
	45.9b	(/.f64 (neg.f64 b) a)
	45.9b	(.f64 (.f64 -2 b) (/.f64 1/2 a))
	40.5b	(/.f64 (neg.f64 c) b)
	53.3b	(cbrt.f64 (.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 3) (pow.f64 (/.f64 1/2 a) 3)))
	42.1b	(.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 1/2 a))
	54.3b	(pow.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 3) 1/3)
	30.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2)))

Compiler

Compiled 5901 to 3728 computations (36.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2) a)
✓	0.7b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b)
✓	12.6b	(sqrt.f64 (.f64 a (.f64 c -4)))

series242.0ms (2.9%)

Counts

3 → 24

Calls

24 calls:

Time	Variable		Point	Expression
29.0ms	a	@	-inf	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2) a)
26.0ms	c	@	inf	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2) a)
26.0ms	a	@	inf	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2) a)
19.0ms	c	@	-inf	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2) a)
19.0ms	c	@	inf	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b)

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`prod-diff_binary64`
250×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
138×	`pow1_binary64`
137×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	282	45
2	3714	45

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change 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simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

728×	`times-frac_binary64`
385×	`associate-/l*_binary64`
360×	`associate-/r*_binary64`
271×	`associate-r_binary64`
249×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	988
1	323	908
2	1054	857

Stop Event

1×	node limit

Counts

144 → 165

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -4 (.f64 c a)))
(-.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (sqrt.f64 (.f64 -4 (.f64 c a)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))) b))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))))
(-.f64 (+.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 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))))
(-.f64 (+.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 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 b 7)))))
(*.f64 -2 b)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 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 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (*.f64 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 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.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 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (.f64 1/2 (/.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 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.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 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))) (+.f64 (.f64 5/256 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (.f64 a (pow.f64 b 7)))) (.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))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (/.f64 b a)))
(-.f64 (.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 b a)))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.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 b a))))

Outputs
(sqrt.f64 (.f64 -4 (.f64 c a)))
(-.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b)
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b)
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) (sqrt.f64 (.f64 -4 (.f64 c a)))) b)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) b) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (sqrt.f64 (.f64 -4 (.f64 c a)))) (+.f64 (.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 b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (sqrt.f64 (.f64 -4 (.f64 c a)))) (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 b (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) (sqrt.f64 (.f64 -4 (.f64 c a)))) (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) (sqrt.f64 (.f64 -4 (.f64 c a)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 3)) b))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))
(.f64 1/2 (/.f64 (.f64 -4 (*.f64 c a)) b))
(/.f64 (.f64 (.f64 c a) -2) b)
(-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 (.f64 -4 (.f64 c a)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) -1/8))
(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 (.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 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (fma.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 -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)) (fma.f64 1/2 (/.f64 (.f64 -4 (.f64 c a)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) -1/8)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (pow.f64 b 5)) (/.f64 (.f64 (.f64 c a) -2) b)))
(-.f64 (+.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 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 b 7)))))
(-.f64 (fma.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)) (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (pow.f64 b 7)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 -4 (.f64 c a)) b) (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6)))) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) (.f64 5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 8) (pow.f64 b 7)))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (pow.f64 b 5)) (/.f64 (.f64 (.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 5/128 (pow.f64 b 7)) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 8))))
(*.f64 -2 b)
(*.f64 b -2)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 2 b)))
(neg.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) (*.f64 b 2)))
(-.f64 (.f64 b -2) (.f64 1/2 (/.f64 (.f64 -4 (.f64 c a)) b)))
(-.f64 (.f64 b -2) (/.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 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (*.f64 2 b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) (.f64 b 2)))
(+.f64 (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)) (.f64 (/.f64 (.f64 -4 (.f64 c a)) b) -1/2)) (.f64 b -2))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 b 2 (/.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 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5))) (.f64 2 b))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (pow.f64 b 5)) (.f64 b 2))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 -4 (.f64 c a)) b) (fma.f64 b 2 (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 6))))))
(-.f64 (.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 (.f64 -4 (.f64 c a)) 3) (pow.f64 b 5)) (fma.f64 b 2 (/.f64 (.f64 (*.f64 c a) -2) b))))
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/2 (/.f64 b a)))
(.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a) (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 1/2 (/.f64 b a)))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (.f64 1/4 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -4 (.f64 c a)))))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 (/.f64 b a) -1/2)))
(fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) (.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (/.f64 b a))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (.f64 1/2 (/.f64 b a))))
(-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (.f64 1/4 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -4 (.f64 c a)))))) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) (*.f64 1/2 (/.f64 b a))))
(-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (/.f64 (/.f64 (.f64 (.f64 b b) 1/4) a) (sqrt.f64 (.f64 -4 (.f64 c a))))) (fma.f64 1/2 (/.f64 b a) (.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 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) (fma.f64 (/.f64 b a) -1/2 (/.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 3) (/.f64 (pow.f64 b 4) a))))))
(.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))
(.f64 1/4 (/.f64 (.f64 -4 (.f64 c a)) (.f64 a b)))
(/.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)))))
(+.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 (.f64 -4 (.f64 c a)) (.f64 a b)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (*.f64 a (pow.f64 b 3))) -1/16))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/16 (/.f64 (.f64 (.f64 c a) -1) (.f64 a b)))
(-.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.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 (fma.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (.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 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 1/4 (/.f64 (.f64 -4 (.f64 c a)) (.f64 a b)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/16)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/16 (fma.f64 1/32 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (.f64 a (pow.f64 b 5))) (/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))) (+.f64 (.f64 5/256 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (.f64 a (pow.f64 b 7)))) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))))))
(-.f64 (fma.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))) (fma.f64 5/256 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (.f64 a (pow.f64 b 7))) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))))))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 -4 (.f64 c a)) (.f64 a b)) (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (.f64 5/256 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (.f64 a (pow.f64 b 7))))))
(+.f64 (fma.f64 1/32 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (.f64 a (pow.f64 b 5))) (/.f64 (.f64 (.f64 c a) -1) (.f64 a b))) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) -1/16 (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (*.f64 a (pow.f64 b 7))) -5/256)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (/.f64 b a)))
(neg.f64 (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (*.f64 a b)) (/.f64 b a)))
(-.f64 (.f64 (/.f64 (.f64 -4 (.f64 c a)) (.f64 a b)) -1/4) (/.f64 b a))
(-.f64 (/.f64 (neg.f64 b) a) (/.f64 (.f64 (.f64 c a) -1) (*.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 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (/.f64 b a)))
(-.f64 (.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 b a)))
(-.f64 (.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 (.f64 -4 (.f64 c a)) (*.f64 a b)) (/.f64 b a)))
(-.f64 (.f64 (/.f64 1/16 (.f64 a (pow.f64 b 3))) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (+.f64 (/.f64 b a) (/.f64 (.f64 (.f64 c a) -1) (*.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 (.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 b a))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (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)) (/.f64 b a))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (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 (.f64 -4 (.f64 c a)) (.f64 a b)) (/.f64 b a))))
(-.f64 (.f64 (/.f64 1/16 (.f64 a (pow.f64 b 3))) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (+.f64 (/.f64 (.f64 (.f64 c a) -1) (.f64 a b)) (fma.f64 1/32 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (.f64 a (pow.f64 b 5))) (/.f64 b a))))

prune137.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	165	10	175

Error

2.6b

Counts

175 → 10

Alt Table

Status	Error	Program
✓	30.2b	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2) a)
	46.1b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.5b	(/.f64 (-.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
	45.9b	(/.f64 (neg.f64 b) a)
	45.9b	(.f64 (.f64 -2 b) (/.f64 1/2 a))
	40.5b	(/.f64 (neg.f64 c) b)
	30.8b	(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 -4 a)))) b) (cbrt.f64 a)))
	46.1b	(/.f64 (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) b) 1/2) a)
	42.1b	(.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 1/2 a))
▶	30.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2)))

Compiler

Compiled 4247 to 2763 computations (34.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2))
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2)))
	0.7b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b)
	12.6b	(sqrt.f64 (.f64 a (.f64 c -4)))

series359.0ms (4.4%)

Counts

2 → 24

Calls

18 calls:

Time	Variable		Point	Expression
53.0ms	c	@	inf	(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2))
43.0ms	a	@	-inf	(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2))
41.0ms	c	@	-inf	(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2))
39.0ms	a	@	inf	(/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2))
29.0ms	a	@	-inf	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2)))

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`prod-diff_binary64`
161×	`add-sqr-sqrt_binary64`
154×	`pow1_binary64`
153×	`*-un-lft-identity_binary64`
149×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	323	42
2	4218	42

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

871×	`times-frac_binary64`
475×	`associate-/l*_binary64`
448×	`associate-/r*_binary64`
293×	`fma-def_binary64`
165×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1073
1	345	970
2	1150	931

Stop Event

1×	node limit

Counts

113 → 137

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (.f64 1/2 (/.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 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.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 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))) (+.f64 (.f64 5/256 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (.f64 a (pow.f64 b 7)))) (.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))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (/.f64 b a)))
(-.f64 (.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 b a)))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.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 b a))))
(.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (*.f64 c a)))))
(+.f64 (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (*.f64 c a))))))
(+.f64 (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (+.f64 (.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (+.f64 (.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (.f64 1/4 (/.f64 (.f64 a (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))))
(.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))
(+.f64 (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (/.f64 a b))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (pow.f64 b 5))) (+.f64 (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (/.f64 a b))) (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))))
(*.f64 -1 (/.f64 a b))
(-.f64 (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (pow.f64 b 5))) (/.f64 a b)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))) (.f64 5/64 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6)) (pow.f64 b 7)))) (+.f64 (.f64 1/8 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (pow.f64 b 5))) (/.f64 a b)))

Outputs
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/2 (/.f64 b a)))
(.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a) (/.f64 b a)))
(.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a) (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 1/2 (/.f64 b a)))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (.f64 1/4 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -4 (.f64 c a)))))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 (/.f64 b a) -1/2)))
(fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (/.f64 b a))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a)) (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (.f64 1/2 (/.f64 b a))))
(-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) a) (.f64 1/4 (/.f64 (/.f64 (.f64 b b) a) (sqrt.f64 (.f64 -4 (.f64 c a)))))) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)) (*.f64 1/2 (/.f64 b a))))
(-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (fma.f64 1/2 (/.f64 b a) (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) a) (fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (/.f64 b a) -1/2 (.f64 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 3))) -1/16))))
(.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))
(.f64 1/4 (/.f64 (.f64 c (.f64 a -4)) (.f64 a b)))
(.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (*.f64 a -4))))
(-.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 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))))
(fma.f64 1/4 (/.f64 (.f64 c (.f64 a -4)) (.f64 a b)) (/.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4)) (*.f64 a (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (.f64 a -4))) (.f64 (/.f64 -1/16 a) (/.f64 (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 4) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.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 (fma.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (.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 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 1/4 (/.f64 (.f64 c (.f64 a -4)) (.f64 a b)) (/.f64 (.f64 -1/16 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4)) (.f64 a (pow.f64 b 3)))))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (.f64 a (pow.f64 b 3))) -1/16 (fma.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (.f64 a -4))) (.f64 1/32 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 3) (*.f64 a (pow.f64 b 5))))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5)))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))) (+.f64 (.f64 5/256 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (.f64 a (pow.f64 b 7)))) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))))))
(-.f64 (fma.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6) (.f64 a (pow.f64 b 5))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))) (fma.f64 5/256 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 8) (.f64 a (pow.f64 b 7))) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))))))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 c (.f64 a -4)) (.f64 a b)) (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 6) (.f64 a (pow.f64 b 5))))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (.f64 a (pow.f64 b 3))) (.f64 5/256 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 8) (.f64 a (pow.f64 b 7))))))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (.f64 a -4))) (fma.f64 1/32 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 3) (.f64 a (pow.f64 b 5))) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (.f64 a (pow.f64 b 3))) -1/16 (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 8) (.f64 a (pow.f64 b 7))) -5/256))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b))) (/.f64 b a)))
(neg.f64 (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (*.f64 a b)) (/.f64 b a)))
(-.f64 (.f64 (/.f64 (.f64 c (.f64 a -4)) (.f64 a b)) -1/4) (/.f64 b a))
(fma.f64 (/.f64 c (/.f64 (.f64 a b) (.f64 a -4))) -1/4 (neg.f64 (/.f64 b a)))
(-.f64 (.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 b a)))
(-.f64 (.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 b a)))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (.f64 a (pow.f64 b 3)))) (fma.f64 1/4 (/.f64 (.f64 c (.f64 a -4)) (*.f64 a b)) (/.f64 b a)))
(-.f64 (.f64 (/.f64 1/16 a) (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3))) (fma.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (*.f64 a -4))) (/.f64 b a)))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3)))) (+.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 b a))))
(fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (.f64 a (pow.f64 b 3))) (neg.f64 (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)) (/.f64 b a)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (.f64 a (pow.f64 b 3)))) (fma.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 1/4 (/.f64 (.f64 c (.f64 a -4)) (.f64 a b)) (/.f64 b a))))
(-.f64 (.f64 (/.f64 1/16 a) (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4) (pow.f64 b 3))) (fma.f64 1/32 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 3) (.f64 a (pow.f64 b 5))) (fma.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (.f64 a -4))) (/.f64 b a))))
(.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (*.f64 c a)))))
(.f64 2 (/.f64 a (sqrt.f64 (.f64 c (*.f64 a -4)))))
(+.f64 (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (*.f64 c a))))))
(.f64 2 (+.f64 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (/.f64 a (sqrt.f64 (.f64 -4 (*.f64 c a))))))
(.f64 2 (+.f64 (/.f64 a (sqrt.f64 (.f64 c (.f64 a -4)))) (/.f64 a (/.f64 (.f64 c (*.f64 a -4)) b))))
(fma.f64 2 (/.f64 a (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 -1/2 (/.f64 (.f64 a b) (*.f64 c a))))
(+.f64 (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (+.f64 (.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3))))
(fma.f64 2 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (fma.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a)))) (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3) (*.f64 b b)))))
(fma.f64 2 (+.f64 (/.f64 a (sqrt.f64 (.f64 c (.f64 a -4)))) (/.f64 a (/.f64 (.f64 c (.f64 a -4)) b))) (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3) (*.f64 b b))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 a b) (.f64 c a))) (.f64 (/.f64 a (sqrt.f64 (.f64 c (.f64 a -4)))) (+.f64 2 (.f64 (/.f64 b a) (/.f64 b (.f64 -4 c))))))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (+.f64 (.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))) (/.f64 (.f64 a (pow.f64 b 2)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))) (.f64 1/4 (/.f64 (.f64 a (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))))
(-.f64 (fma.f64 2 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (fma.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a)))) (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3) (.f64 b b))))) (/.f64 (.f64 1/4 (.f64 a (pow.f64 b 4))) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 5)))
(+.f64 (fma.f64 2 (+.f64 (/.f64 a (sqrt.f64 (.f64 c (.f64 a -4)))) (/.f64 a (/.f64 (.f64 c (.f64 a -4)) b))) (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3) (.f64 b b)))) (.f64 (.f64 (/.f64 a (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 5)) (pow.f64 b 4)) -1/4))
(fma.f64 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 5)) a) -1/4 (+.f64 (.f64 -1/2 (/.f64 (.f64 a b) (.f64 c a))) (.f64 (/.f64 a (sqrt.f64 (.f64 c (.f64 a -4)))) (+.f64 2 (.f64 (/.f64 b a) (/.f64 b (*.f64 -4 c)))))))
(.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 a (/.f64 (.f64 c (*.f64 a -4)) b)))
(.f64 -1 (/.f64 (.f64 a b) (*.f64 c a)))
(+.f64 (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (/.f64 a b))
(fma.f64 4 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (/.f64 a b))
(fma.f64 4 (/.f64 a (/.f64 (.f64 c (.f64 a -4)) b)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 (.f64 a b) (*.f64 c a))) (/.f64 a b))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (/.f64 a b)) (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))))
(+.f64 (fma.f64 4 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (/.f64 a b)) (.f64 -1/4 (/.f64 a (/.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2)))))
(+.f64 (fma.f64 4 (/.f64 a (/.f64 (.f64 c (.f64 a -4)) b)) (/.f64 a b)) (/.f64 (.f64 -1/4 a) (/.f64 (pow.f64 b 3) (.f64 c (*.f64 a -4)))))
(fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c (.f64 a -4))) -1/4 (+.f64 (.f64 -1 (/.f64 (.f64 a b) (.f64 c a))) (/.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (pow.f64 b 5))) (+.f64 (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (/.f64 a b))) (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))))
(+.f64 (fma.f64 1/8 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (pow.f64 b 5)) (fma.f64 4 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (/.f64 a b))) (.f64 -1/4 (/.f64 a (/.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))))
(fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4)) (+.f64 (fma.f64 4 (/.f64 a (/.f64 (.f64 c (.f64 a -4)) b)) (/.f64 a b)) (/.f64 (.f64 -1/4 a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a -4))))))
(fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c (.f64 a -4))) -1/4 (+.f64 (/.f64 a b) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4)) (.f64 -1 (/.f64 (.f64 a b) (*.f64 c a))))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(-.f64 (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))) (/.f64 a b))
(fma.f64 1/4 (/.f64 a (/.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (neg.f64 (/.f64 a b)))
(-.f64 (.f64 1/4 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (*.f64 a -4))))) (/.f64 a b))
(-.f64 (.f64 (/.f64 (.f64 a 1/4) (pow.f64 b 3)) (.f64 c (.f64 a -4))) (/.f64 a b))
(-.f64 (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))) (+.f64 (.f64 1/8 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (pow.f64 b 5))) (/.f64 a b)))
(-.f64 (.f64 1/4 (/.f64 a (/.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))) (fma.f64 1/8 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (pow.f64 b 5)) (/.f64 a b)))
(-.f64 (.f64 1/4 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (.f64 a -4))))) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4)) (/.f64 a b)))
(-.f64 (.f64 (/.f64 (.f64 a 1/4) (pow.f64 b 3)) (.f64 c (.f64 a -4))) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 4)) (/.f64 a b)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (pow.f64 b 3))) (.f64 5/64 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6)) (pow.f64 b 7)))) (+.f64 (.f64 1/8 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (pow.f64 b 5))) (/.f64 a b)))
(-.f64 (fma.f64 1/4 (/.f64 a (/.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (.f64 5/64 (/.f64 a (/.f64 (pow.f64 b 7) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 6))))) (fma.f64 1/8 (/.f64 (.f64 a (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4)) (pow.f64 b 5)) (/.f64 a b)))
(-.f64 (fma.f64 1/4 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c (.f64 a -4)))) (.f64 5/64 (.f64 (/.f64 a (pow.f64 b 7)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 6)))) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 4)) (/.f64 a b)))
(-.f64 (fma.f64 1/4 (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c (.f64 a -4))) (.f64 (/.f64 (.f64 a 5/64) (pow.f64 b 7)) (pow.f64 (.f64 c (.f64 a -4)) 3))) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 4)) (/.f64 a b)))

prune191.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	231	4	235
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	233	12	245

Error

2.6b

Counts

245 → 12

Alt Table

Status	Error	Program
	46.1b	(/.f64 (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) b) 1/2) a)
	45.9b	(/.f64 1 (/.f64 (neg.f64 a) b))
	46.2b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2)))
✓	30.2b	(/.f64 (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2) a)
	46.1b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.5b	(/.f64 (-.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
	45.9b	(/.f64 (neg.f64 b) a)
	46.9b	(/.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 a b) (*.f64 c a))) (/.f64 a b)))
	42.1b	(.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 a (.f64 c -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (/.f64 1/2 a))
	30.5b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (cbrt.f64 (sqrt.f64 (.f64 c (.f64 -4 a)))) (cbrt.f64 (.f64 c (.f64 -4 a))))) b) 1/2)))
✓	30.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2)))
	40.5b	(/.f64 (neg.f64 c) b)

Compiler

Compiled 6104 to 4099 computations (32.8% saved)

regimes2.9s (35.7%)

Accuracy

Total 7.1b remaining (72.9%)

Threshold costs 0b (0%)

Counts

219 → 3

Compiler

Compiled 19348 to 13710 computations (29.1% saved)

bsearch60.0ms (0.7%)

Algorithm

2×	binary-search

Calls

2 calls:

52.0ms	b
7.0ms	b

Steps

Iters	Point		Range
5.5e-60	∈ [	1.6804381319644704e-70	,	8.064275938110209e-60	]
-1e+150	∈ [	-3.808397638279857e+158	,	-7.67209185907215e+147	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	48
1	38	46
2	47	46
3	53	46
4	55	46

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2487720667207965/452312848583266388373324160190187140051835877600158453279131187530910662656) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))

Outputs

(if (<=.f64 b -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2487720667207965/452312848583266388373324160190187140051835877600158453279131187530910662656) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))

(if (<=.f64 b -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2487720667207965/452312848583266388373324160190187140051835877600158453279131187530910662656) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))

(if (<=.f64 b -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (/.f64 (neg.f64 b) a) (if (<=.f64 b 2487720667207965/452312848583266388373324160190187140051835877600158453279131187530910662656) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))

end150.0ms (1.8%)

Stop Event

1×

fuel

Compiler

Compiled 280 to 191 computations (31.8% saved)

Details

analyze685.0ms (8.3%)

sample2.3s (27.9%)

preprocess45.0ms (0.6%)

simplify29.0ms (0.4%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series121.0ms (1.5%)

rewrite76.0ms (0.9%)

simplify50.0ms (0.6%)

prune183.0ms (2.2%)

localize10.0ms (0.1%)

series121.0ms (1.5%)

rewrite71.0ms (0.9%)

simplify49.0ms (0.6%)

prune165.0ms (2%)

localize9.0ms (0.1%)

series242.0ms (2.9%)

rewrite82.0ms (1%)

simplify32.0ms (0.4%)

prune137.0ms (1.7%)

localize10.0ms (0.1%)

series359.0ms (4.4%)

rewrite65.0ms (0.8%)

simplify31.0ms (0.4%)

prune191.0ms (2.3%)

regimes2.9s (35.7%)

bsearch60.0ms (0.7%)

simplify5.0ms (0.1%)

end150.0ms (1.8%)

Profiling