Details

analyze710.0ms (9.6%)

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 (31.8%)

Results

735.0ms	5327×	body	128	valid
645.0ms	1191×	body	2048	valid
338.0ms	746×	body	1024	valid
267.0ms	416×	body	4096	valid
153.0ms	1126×	body	128	invalid
140.0ms	377×	body	512	valid
47.0ms	199×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess49.0ms (0.7%)

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)

simplify31.0ms (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))

prune3.0ms (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

33.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	33.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	33.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	22.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series35.0ms (0.5%)

Counts

4 → 96

Calls

36 calls:

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

rewrite80.0ms (1.1%)

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

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
468×	`associate-/l*_binary64`
432×	`fma-def_binary64`
424×	`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 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)))))
(.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)))

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 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3) (pow.f64 b 4))))
(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 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 3)) -1/8))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 5)) (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) (sqrt.f64 (.f64 c (*.f64 a -4))))))
b
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b
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b
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(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -4))
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(-.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) b)
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(*.f64 -2 b)
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(-.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 (/.f64 c b) a))) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 (/.f64 (*.f64 (pow.f64 c 4) 10) (pow.f64 b 7)) (pow.f64 a 4))))
(.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 1/4 (/.f64 (/.f64 (.f64 b b) 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 (.f64 b b) 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 (pow.f64 b 4) (.f64 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 -1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 3) (/.f64 (pow.f64 b 4) 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)))
(fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a 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 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))))
(fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -5) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.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)))
(fma.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (-.f64 (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)))
(fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a 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 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))))
(fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -5) (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)))
(fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a 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 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))))
(fma.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -5) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c 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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -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 c (.f64 a -4) (.f64 b b))

prune181.0ms (2.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	222	10	232
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	223	11	234

Error

7.1b

Counts

234 → 11

Alt Table

Status	Error	Program
	47.4b	(pow.f64 (/.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))) -1)
▶	33.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	47.1b	(-.f64 (/.f64 c b) (/.f64 b a))
	46.8b	(neg.f64 (/.f64 b a))
	38.8b	(/.f64 (neg.f64 c) b)
	35.0b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
	36.3b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) 3)) (*.f64 2 a))
	57.9b	(.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (sqrt.f64 (*.f64 a 2))))
	47.5b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))) 2))
	36.1b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))) (.f64 2 a))
	41.9b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -2) (*.f64 2 a))

Compiler

Compiled 6218 to 3616 computations (41.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b b (.f64 a (.f64 c -4)))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	0.7b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)
✓	22.4b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

series16.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite69.0ms (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)
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
(fma.f64 b b (.f64 a (.f64 c -4)))

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

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
468×	`associate-/l*_binary64`
432×	`fma-def_binary64`
424×	`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 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)))))
(.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)))

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

prune171.0ms (2.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	226	6	232
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	230	13	243

Error

7.1b

Counts

243 → 13

Alt Table

Status	Error	Program
	41.0b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))) b) (/.f64 1/2 a))
	38.8b	(/.f64 (neg.f64 c) b)
▶	33.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2)))
	41.9b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -2) (*.f64 2 a))
	34.8b	(.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
	41.1b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 3)) (/.f64 1/2 a))
	46.8b	(.f64 (.f64 -2 b) (/.f64 1/2 a))
	47.1b	(-.f64 (/.f64 c b) (/.f64 b a))
	33.0b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	35.0b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
	57.9b	(.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (sqrt.f64 (*.f64 a 2))))
	47.5b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))) 2))
	36.1b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))) (.f64 2 a))

Compiler

Compiled 6051 to 3818 computations (36.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) 1/2)))
✓	0.1b	(/.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)
✓	13.4b	(sqrt.f64 (.f64 a (.f64 c -4)))

series99.0ms (1.3%)

Counts

4 → 36

Calls

33 calls:

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

rewrite84.0ms (1.1%)

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	69
1	323	66
2	4217	66

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

586×	`associate-/l*_binary64`
567×	`associate-/r*_binary64`
391×	`fma-def_binary64`
218×	`cancel-sign-sub-inv_binary64`
214×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1518
1	450	1376
2	1509	1333

Stop Event

1×	node limit

Counts

201 → 237

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 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)))
(.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)))
(sqrt.f64 (.f64 a (.f64 -4 c)))
(-.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)
(-.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)
(-.f64 (+.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 a (.f64 -4 c))) b)) (sqrt.f64 (.f64 a (.f64 -4 c)))) b)
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) b) (sqrt.f64 (.f64 a (*.f64 -4 c)))) 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 a (.f64 -4 c))) b)) (sqrt.f64 (.f64 a (.f64 -4 c)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 3)) b))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))) b) (sqrt.f64 (.f64 a (.f64 -4 c)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 3)) b))
(.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2) b))
(/.f64 (.f64 1/2 (.f64 a (*.f64 -4 c))) b)
(.f64 1/2 (/.f64 (.f64 c a) (/.f64 b -4)))
(-.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 a (.f64 -4 c)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)) -1/8))
(fma.f64 1/2 (/.f64 (.f64 c a) (/.f64 b -4)) (/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) -1/8) (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 (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 a (.f64 -4 c))) 6) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (.f64 a (.f64 -4 c)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)) -1/8)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) -1/8 (fma.f64 1/2 (/.f64 (.f64 c a) (/.f64 b -4)) (.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3) (pow.f64 b 5)))))
(-.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 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (.f64 a (.f64 -4 c)) b) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) -1/8))) (.f64 -5/128 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 8) (pow.f64 b 7))))
(fma.f64 1/2 (/.f64 (.f64 c a) (/.f64 b -4)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3) (pow.f64 b 5)) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) -1/8 (/.f64 -5/128 (/.f64 (pow.f64 b 7) (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 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 (/.f64 (.f64 a (.f64 -4 c)) b) -1/2) (.f64 b -2))
(fma.f64 b -2 (.f64 (/.f64 (.f64 c a) (/.f64 b -4)) -1/2))
(-.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 a (.f64 -4 c))) 4) (pow.f64 b 3)) (.f64 (/.f64 (.f64 a (.f64 -4 c)) b) -1/2)) (.f64 b -2))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) (fma.f64 b -2 (.f64 (/.f64 (.f64 c a) (/.f64 b -4)) -1/2)))
(-.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 (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) (.f64 (/.f64 (.f64 a (.f64 -4 c)) b) -1/2)) (fma.f64 b 2 (/.f64 (.f64 1/16 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6)) (pow.f64 b 5))))
(+.f64 (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (pow.f64 b 3)) (fma.f64 b -2 (.f64 (/.f64 (.f64 c a) (/.f64 b -4)) -1/2))) (.f64 -1/16 (/.f64 (pow.f64 (.f64 a (*.f64 -4 c)) 3) (pow.f64 b 5))))
(.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (*.f64 c a)))))
(/.f64 (.f64 2 a) (sqrt.f64 (.f64 -4 (*.f64 c a))))
(/.f64 2 (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) a))
(.f64 2 (/.f64 a (sqrt.f64 (.f64 a (*.f64 -4 c)))))
(+.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 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))
(.f64 2 (+.f64 (/.f64 a (sqrt.f64 (.f64 a (.f64 -4 c)))) (/.f64 (.f64 a b) (.f64 a (.f64 -4 c)))))
(.f64 2 (fma.f64 (/.f64 a (.f64 a (.f64 -4 c))) b (/.f64 a (sqrt.f64 (.f64 a (*.f64 -4 c))))))
(+.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 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (fma.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a)))) (/.f64 (.f64 a (.f64 b b)) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 3))))
(fma.f64 2 (+.f64 (/.f64 a (sqrt.f64 (.f64 a (.f64 -4 c)))) (/.f64 (.f64 a b) (.f64 a (.f64 -4 c)))) (/.f64 (.f64 a (.f64 b b)) (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 3)))
(fma.f64 2 (/.f64 (.f64 a b) (.f64 a (.f64 -4 c))) (.f64 (/.f64 a (sqrt.f64 (.f64 a (.f64 -4 c)))) (+.f64 2 (/.f64 (.f64 b b) (.f64 a (*.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 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (fma.f64 2 (/.f64 a (sqrt.f64 (.f64 -4 (.f64 c a)))) (/.f64 (.f64 a (.f64 b b)) (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 (/.f64 a (sqrt.f64 (.f64 a (.f64 -4 c)))) (/.f64 (.f64 a b) (.f64 a (.f64 -4 c)))) (/.f64 (.f64 a (.f64 b b)) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 3))) (/.f64 (.f64 -1/4 (.f64 a (pow.f64 b 4))) (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 5)))
(fma.f64 (/.f64 (.f64 a (pow.f64 b 4)) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 5)) -1/4 (fma.f64 2 (/.f64 (.f64 a b) (.f64 a (.f64 -4 c))) (.f64 (/.f64 a (sqrt.f64 (.f64 a (.f64 -4 c)))) (+.f64 2 (/.f64 (.f64 b b) (.f64 a (.f64 -4 c)))))))
(.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)))
(.f64 4 (/.f64 (.f64 a b) (.f64 a (.f64 -4 c))))
(+.f64 (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (/.f64 a b))
(fma.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 2)) (/.f64 a b))
(fma.f64 4 (/.f64 (.f64 a b) (.f64 a (*.f64 -4 c))) (/.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 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (/.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 (.f64 a b) (.f64 a (.f64 -4 c))) (/.f64 a b)) (/.f64 (.f64 (.f64 1/4 a) (.f64 a (*.f64 -4 c))) (pow.f64 b 3)))
(fma.f64 (.f64 (/.f64 (.f64 a (.f64 -4 c)) (pow.f64 b 3)) a) -1/4 (fma.f64 4 (/.f64 (.f64 a b) (.f64 a (.f64 -4 c))) (/.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 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (/.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 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4)) (fma.f64 4 (/.f64 (.f64 a b) (.f64 a (.f64 -4 c))) (/.f64 a b))) (.f64 (/.f64 (.f64 a (*.f64 -4 c)) (/.f64 (pow.f64 b 3) a)) -1/4))
(fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4)) (fma.f64 (.f64 (/.f64 (.f64 a (.f64 -4 c)) (pow.f64 b 3)) a) -1/4 (fma.f64 4 (/.f64 (.f64 a b) (.f64 a (*.f64 -4 c))) (/.f64 a b))))
(*.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 (.f64 (.f64 1/4 a) (.f64 a (.f64 -4 c))) (pow.f64 b 3)) (/.f64 a b))
(-.f64 (.f64 1/4 (.f64 (/.f64 (.f64 a (.f64 -4 c)) (pow.f64 b 3)) a)) (/.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 (.f64 (.f64 1/4 a) (.f64 a (.f64 -4 c))) (pow.f64 b 3)) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 4)) (/.f64 a b)))
(-.f64 (.f64 1/4 (.f64 (/.f64 (.f64 a (.f64 -4 c)) (pow.f64 b 3)) a)) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 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 (.f64 a (.f64 -4 c)) (/.f64 (pow.f64 b 3) a)) (/.f64 5/64 (/.f64 (pow.f64 b 7) (.f64 a (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6))))) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4)) (/.f64 a b)))
(-.f64 (fma.f64 1/4 (.f64 (/.f64 (.f64 a (.f64 -4 c)) (pow.f64 b 3)) a) (.f64 5/64 (/.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3) (/.f64 (pow.f64 b 7) a)))) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) 4)) (/.f64 a b)))
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) a))
(-.f64 (.f64 1/2 (/.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 a (*.f64 -4 c))) 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 b b) (.f64 a (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) a) (fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (.f64 (/.f64 b a) -1/2)))
(fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 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 b b) (.f64 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 a (.f64 -4 c))) a) (.f64 (/.f64 1/4 (sqrt.f64 (.f64 a (.f64 -4 c)))) (/.f64 b (/.f64 a b)))) (fma.f64 1/2 (/.f64 b a) (.f64 (/.f64 1/16 a) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 3)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) a) (fma.f64 1/4 (.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (.f64 a (.f64 -4 c))))) (fma.f64 (/.f64 b a) -1/2 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 3)) -1/16))))
(.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) (.f64 a b)))
(/.f64 (.f64 1/4 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2)) (.f64 a b))
(.f64 1/4 (/.f64 (.f64 a (.f64 -4 c)) (.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 (.f64 1/4 (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 a (.f64 -4 c)) (.f64 a b)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (*.f64 a (pow.f64 b 3))) -1/16))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (.f64 a -4))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3))) -1/16))
(-.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 (.f64 1/4 (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 a (.f64 -4 c))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 1/4 (/.f64 (.f64 a (.f64 -4 c)) (.f64 a b)) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3))) -1/16)))
(fma.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (.f64 a -4))) (fma.f64 1/32 (/.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3) (.f64 a (pow.f64 b 5))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (*.f64 a (pow.f64 b 3))) -1/16)))
(-.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 (.f64 1/4 (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 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6) (.f64 a (pow.f64 b 5))) (.f64 1/4 (/.f64 (.f64 a (.f64 -4 c)) (.f64 a b)))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3))) (.f64 5/256 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 8) (.f64 a (pow.f64 b 7))))))
(fma.f64 1/32 (/.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3) (.f64 a (pow.f64 b 5))) (fma.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (.f64 a -4))) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3))) -1/16 (.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 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 a (.f64 -4 c)) (.f64 a b)) -1/4) (/.f64 b a))
(-.f64 (.f64 (/.f64 c (/.f64 (.f64 a b) (*.f64 a -4))) -1/4) (/.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 1/4 (/.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)))
(fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3))) (-.f64 (.f64 (/.f64 (.f64 a (.f64 -4 c)) (*.f64 a b)) -1/4) (/.f64 b a)))
(-.f64 (.f64 (/.f64 1/16 (.f64 a (pow.f64 b 3))) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4)) (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))))
(-.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 a (.f64 -4 c))) 4) (.f64 a (pow.f64 b 3)))) (fma.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 6) (.f64 a (pow.f64 b 5))) (fma.f64 1/4 (/.f64 (.f64 a (.f64 -4 c)) (.f64 a b)) (/.f64 b a))))
(-.f64 (.f64 (/.f64 1/16 (.f64 a (pow.f64 b 3))) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 4)) (fma.f64 1/4 (/.f64 c (/.f64 (.f64 a b) (.f64 a -4))) (fma.f64 1/32 (/.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3) (*.f64 a (pow.f64 b 5))) (/.f64 b a))))

prune192.0ms (2.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	232	5	237
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	237	13	250

Error

4.5b

Counts

250 → 13

Alt Table

Status	Error	Program
	41.0b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))) b) (/.f64 1/2 a))
	38.8b	(/.f64 (neg.f64 c) b)
	41.9b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -2) (*.f64 2 a))
	42.7b	(/.f64 1 (fma.f64 4 (/.f64 (.f64 a b) (.f64 a (*.f64 -4 c))) (/.f64 a b)))
	34.8b	(/.f64 1 (/.f64 a (.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a -4) c))) b))) 1/2)))
	46.8b	(.f64 (.f64 -2 b) (/.f64 1/2 a))
	47.1b	(-.f64 (/.f64 c b) (/.f64 b a))
	33.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a -4) c)) 2)) (sqrt.f64 (cbrt.f64 (.f64 (.f64 a -4) c))))) b) 1/2)))
	49.2b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) b) 1/2)))
▶	33.0b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	35.0b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
	57.9b	(.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (sqrt.f64 (*.f64 a 2))))
	33.0b	(/.f64 1 (.f64 a (/.f64 2 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a -4) c))) b))))

Compiler

Compiled 6404 to 4360 computations (31.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))
✓	0.2b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	0.7b	(-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b)
	13.4b	(sqrt.f64 (.f64 a (.f64 c -4)))

series23.0ms (0.3%)

Counts

2 → 26

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))
2.0ms	c	@	inf	(hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))
2.0ms	c	@	-inf	(hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))
1.0ms	a	@	inf	(hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))
1.0ms	c	@	0	(hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`prod-diff_binary64`
249×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
137×	`pow1_binary64`
136×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	283	33
2	3645	33

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

746×	`times-frac_binary64`
398×	`associate-/l*_binary64`
369×	`associate-/r*_binary64`
289×	`associate-r_binary64`
252×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	958
1	315	885
2	1037	843

Stop Event

1×	node limit

Counts

87 → 108

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

prune151.0ms (2.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	208	13	221

Error

4.5b

Counts

221 → 13

Alt Table

Status	Error	Program
	41.0b	(.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))) b) (/.f64 1/2 a))
	38.8b	(/.f64 (neg.f64 c) b)
	41.9b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -2) (*.f64 2 a))
	42.7b	(/.f64 1 (fma.f64 4 (/.f64 (.f64 a b) (.f64 a (*.f64 -4 c))) (/.f64 a b)))
	34.8b	(/.f64 1 (/.f64 a (.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a -4) c))) b))) 1/2)))
	49.2b	(.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) (/.f64 1/2 a))
	46.8b	(.f64 (.f64 -2 b) (/.f64 1/2 a))
	47.1b	(-.f64 (/.f64 c b) (/.f64 b a))
	33.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a -4) c)) 2)) (sqrt.f64 (cbrt.f64 (.f64 (.f64 a -4) c))))) b) 1/2)))
✓	33.0b	(.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	35.0b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
	57.9b	(.f64 (/.f64 1 (sqrt.f64 (.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (sqrt.f64 (*.f64 a 2))))
	33.0b	(/.f64 1 (.f64 a (/.f64 2 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a -4) c))) b))))

Compiler

Compiled 5279 to 3452 computations (34.6% saved)

regimes2.6s (35.8%)

Accuracy

Total 7.4b remaining (70.6%)

Threshold costs 0b (0%)

Counts

194 → 3

Compiler

Compiled 3385 to 2090 computations (38.3% saved)

bsearch63.0ms (0.9%)

Algorithm

2×	binary-search

Calls

2 calls:

40.0ms	b
22.0ms	b

Steps

Iters	Point		Range
4e-65	∈ [	3.426752008042539e-66	,	2.2012397231505216e-64	]
-5.5e+89	∈ [	-5.787764556076315e+89	,	-2.6756320566440265e+87	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	55
1	42	53
2	53	53
3	59	53
4	61	53

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -549999999999999975912351386214315172737300348563729775990872558518068199501418732741197824) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4742843975160471/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 (*.f64 a c) -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))

Outputs

(if (<=.f64 b -549999999999999975912351386214315172737300348563729775990872558518068199501418732741197824) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4742843975160471/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 (*.f64 a c) -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))

(if (<=.f64 b -549999999999999975912351386214315172737300348563729775990872558518068199501418732741197824) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4742843975160471/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 (*.f64 c a) -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))

(if (<=.f64 b -549999999999999975912351386214315172737300348563729775990872558518068199501418732741197824) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4742843975160471/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 (-.f64 (sqrt.f64 (fma.f64 1 (*.f64 b b) (*.f64 (*.f64 c a) -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))

end172.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 310 to 219 computations (29.4% saved)

Details

analyze710.0ms (9.6%)

sample2.3s (31.8%)

preprocess49.0ms (0.7%)

simplify31.0ms (0.4%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series35.0ms (0.5%)

rewrite80.0ms (1.1%)

simplify50.0ms (0.7%)

prune181.0ms (2.5%)

localize11.0ms (0.2%)

series16.0ms (0.2%)

rewrite69.0ms (0.9%)

simplify47.0ms (0.6%)

prune171.0ms (2.3%)

localize11.0ms (0.2%)

series99.0ms (1.3%)

rewrite84.0ms (1.1%)

simplify39.0ms (0.5%)

prune192.0ms (2.6%)

localize8.0ms (0.1%)

series23.0ms (0.3%)

rewrite54.0ms (0.7%)

simplify27.0ms (0.4%)

prune151.0ms (2.1%)

regimes2.6s (35.8%)

bsearch63.0ms (0.9%)

simplify3.0ms (0%)

end172.0ms (2.3%)

Profiling