Details

analyze398.0ms (2.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	93.6%	0.1%	0%	6.2%	0%	7
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	8
11.1%	10.1%	81.1%	0.1%	0%	8.6%	0%	9
18%	15.6%	71%	0.1%	0%	13.3%	0%	10
25.9%	22%	63%	0.1%	0.8%	14%	0%	11
35.5%	29.1%	52.9%	0.1%	1.6%	16.4%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample4.8s (25.1%)

Results

2.2s	5553×	body	256	valid
983.0ms	1158×	body	2048	valid
607.0ms	749×	body	1024	valid
335.0ms	448×	body	4096	valid
236.0ms	537×	body	256	infinite
226.0ms	348×	body	512	valid
161.0ms	1025×	body	256	invalid

Bogosity

preprocess91.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

551×	`associate-/l*_binary64`
461×	`fma-neg_binary64`
449×	`div-sub_binary64`
441×	`associate-/r*_binary64`
321×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	115	96
2	308	96
3	784	88
4	1483	88
5	2847	88
6	6570	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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 b b)))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) a))
(.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4)))) (*.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4))))) (*.f64 b 2))
(.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) b))
(.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))))
(.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) -4 (.f64 b b)))) (*.f64 c 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 b a))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 (.f64 b a) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 (.f64 b a) -4 (.f64 c c)))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 c c (.f64 (*.f64 b a) -4)))) a))
(.f64 (/.f64 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))))
(.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	100	24
3	259	22
4	461	22
5	840	22
6	1793	22
7	3010	22
8	3701	22
9	4761	22
10	6491	22
11	7461	22
12	7587	22
13	7682	22
14	7714	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

32.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.4b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
▶	32.3b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓	0.7b	(fma.f64 b b (.f64 a (.f64 c -4)))
✓	1.4b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
✓	23.1b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series30.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(fma.f64 b b (.f64 a (.f64 c -4)))
2.0ms	b	@	0	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
1.0ms	a	@	inf	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`prod-diff_binary64`
667×	`log-prod_binary64`
286×	`fma-def_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	280	59
2	3655	59

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
609×	`fma-neg_binary64`
573×	`associate-r_binary64`
570×	`times-frac_binary64`
534×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2203
1	440	2105
2	1480	1988
3	7150	1952

Stop Event

1×	node limit

Counts

257 → 235

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
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b
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b
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b
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(fma.f64 (/.f64 -1/4 a) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 -1/4 a) (-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 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 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.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 (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.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 (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	1.4b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	23.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 73 to 32 computations (56.2% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.0ms	b	@	-inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
1.0ms	c	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0ms	a	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite130.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	347	62
2	5126	59

Stop Event

1×	node limit

Counts

4 → 394

Calls

Call 1

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

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

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
706×	`fma-def_binary64`
596×	`associate-r_binary64`
579×	`times-frac_binary64`
561×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2214
1	462	2111
2	1564	2000
3	7491	2000

Stop Event

1×	node limit

Counts

490 → 470

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(+.f64 b (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b))
(-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(+.f64 b (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(+.f64 b (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (neg.f64 b))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b -1/2) (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) 1/8 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (neg.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b -1/2) (/.f64 (sqrt.f64 -4) b)) (-.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/32) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 (.f64 c a) b) (.f64 b -2))
(fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))
(fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 -2 b (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))))
(fma.f64 b -2 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 4 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(+.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))) (fma.f64 b -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) 4))))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))
(.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
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(-.f64 (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b)) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (.f64 -2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b))) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(fma.f64 -1/4 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (pow.f64 b 7)) (-.f64 (.f64 -2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 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)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))

eval504.0ms (2.6%)

Compiler: Compiled 19038 to 11081 computations (41.8% saved)

prune261.0ms (1.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	683	22	705
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	685	22	707

Error

5.3b

Counts

707 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.4b	(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))
	55.7b	(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
	43.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	45.9b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	45.9b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	35.9b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
▶	43.2b	(/.f64 (neg.f64 b) a)
	45.1b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
	34.4b	(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
	44.8b	(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
	43.3b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	43.4b	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
▶	44.4b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	34.9b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	37.1b	(.f64 (+.f64 b (exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1/2))) (/.f64 -1/2 a))
	55.7b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
▶	38.4b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
▶	32.3b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	34.5b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
	48.8b	(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))) (.f64 (.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
	43.8b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	40.6b	(/.f64 (neg.f64 c) b)

Compiler

Compiled 760 to 520 computations (31.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
✓	0.6b	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
✓	1.4b	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))
✓	23.1b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series118.0ms (0.6%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
1.0ms	b	@	0	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))
1.0ms	b	@	0	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))
0.0ms	c	@	inf	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))
0.0ms	a	@	inf	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary64`
583×	`fma-def_binary64`
314×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	311	59
2	4330	59

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

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

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

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
609×	`fma-neg_binary64`
573×	`associate-r_binary64`
570×	`times-frac_binary64`
534×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2203
1	440	2105
2	1480	1988
3	7150	1952

Stop Event

1×	node limit

Counts

294 → 272

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) b) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -4)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) b)
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) b)
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) b) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -4)))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) b) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -4)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) b))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 b (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) b)))
(+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) b)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))
(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2)))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (.f64 c a)))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 b 2))
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(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.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 (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.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 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))))
(-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (-.f64 (.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))))
(fma.f64 (/.f64 -1/4 a) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 -1/4 a) (-.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 a -2))) (pow.f64 b 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 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.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 (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.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 (fma.f64 2 (.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))

localize5.0ms (0%)

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

localize73.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -2 (/.f64 (.f64 c a) b))
✓	4.5b	(/.f64 (*.f64 c a) b)
✓	9.1b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series17.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
1.0ms	c	@	0	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
1.0ms	c	@	inf	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
1.0ms	b	@	0	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
1.0ms	a	@	0	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`log-prod_binary64`
389×	`pow-prod-down_binary64`
314×	`pow2_binary64`
263×	`pow-unpow_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	242	29
2	3476	29

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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

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

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	216
1	10	216
2	17	216
3	23	216
4	29	216
5	37	216
6	45	216
7	55	216
8	63	216
9	77	216

Stop Event

1×

saturated

Counts

176 → 142

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))

Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2)))
✓	4.9b	(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))
✓	6.0b	(.f64 (/.f64 c b) (.f64 a -2))

Compiler

Compiled 49 to 27 computations (44.9% saved)

series14.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))
1.0ms	b	@	0	(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))
1.0ms	b	@	-inf	(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))
1.0ms	b	@	inf	(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))
1.0ms	c	@	0	(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`log-prod_binary64`
351×	`pow2_binary64`
249×	`pow1/3_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	279	44
2	3502	44

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

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

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

simplify228.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1032×	`fma-def_binary64`
941×	`fma-neg_binary64`
803×	`div-sub_binary64`
422×	`times-frac_binary64`
383×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	17	1172
1	30	1118
2	56	1118
3	92	1118
4	139	1118
5	199	1118
6	315	1118
7	418	1118
8	783	1118
9	1769	1091
10	4230	1091
11	5290	1091
12	6138	1091
13	6281	1091
14	6345	1091
15	6345	1091
16	7808	1091

Stop Event

1×	node limit

Counts

205 → 109

Calls

Call 1

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

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

localize46.0ms (0.2%)

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 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))
✓	10.4b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
✓	11.7b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 62 to 40 computations (35.5% saved)

series64.0ms (0.3%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
10.0ms	b	@	-inf	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
7.0ms	a	@	inf	(.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))
6.0ms	a	@	inf	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
5.0ms	a	@	-inf	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
4.0ms	c	@	-inf	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`log-prod_binary64`
462×	`prod-diff_binary64`
339×	`pow2_binary64`
239×	`pow1/3_binary64`
238×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	272	60
2	3258	60

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

962×	`times-frac_binary64`
722×	`associate-/l*_binary64`
668×	`fma-def_binary64`
627×	`unswap-sqr_binary64`
541×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1596
1	510	1354
2	1824	1294
3	7464	1294

Stop Event

1×	node limit

Counts

155 → 182

Calls

Call 1

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

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

eval300.0ms (1.6%)

Compiler: Compiled 15148 to 9391 computations (38% saved)

prune187.0ms (1%)

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	672	33	705
Fresh	11	6	17
Picked	0	1	1
Done	1	3	4
Total	684	43	727

Error

3.2b

Counts

727 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	55.7b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
	43.9b	(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
	44.8b	(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
	46.5b	(/.f64 (/.f64 (.f64 c -2) (/.f64 b a)) (.f64 2 a))
	55.7b	(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
▶	45.9b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	45.9b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	46.5b	(expm1.f64 (log1p.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))))
	45.4b	(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
	35.9b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	44.1b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 3) (*.f64 2 a))
	48.8b	(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
	37.1b	(.f64 (+.f64 b (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) 1/2))) (/.f64 -1/2 a))
	54.5b	(exp.f64 (log.f64 (.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))))
✓	38.4b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
	43.3b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	43.8b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.3b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	32.3b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	40.6b	(/.f64 (neg.f64 c) b)
	45.6b	(.f64 (exp.f64 (log.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))))) (/.f64 -1/2 a))
	46.0b	(/.f64 (.f64 -2 (.f64 (/.f64 c 1) (/.f64 a b))) (*.f64 2 a))
	43.4b	(/.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2))) (*.f64 a -2))
	52.3b	(cbrt.f64 (pow.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 3))
	61.5b	(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 b a) 1/2))
▶	34.4b	(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
	34.9b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	48.9b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
	43.7b	(pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -1)
	34.5b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4) 2)) (/.f64 -1/2 a))
	61.6b	(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (neg.f64 b)))
	44.4b	(/.f64 (.f64 -2 (.f64 (/.f64 1 b) (.f64 c a))) (.f64 2 a))
	43.9b	(.f64 -2 (/.f64 1 (.f64 (+.f64 a a) (/.f64 (/.f64 b c) a))))
	43.4b	(.f64 (+.f64 (.f64 (/.f64 c b) (.f64 a -2)) (.f64 b 2)) (/.f64 -1/2 a))
✓	44.4b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	45.6b	(pow.f64 (cbrt.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))) 3)
▶	43.5b	(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
▶	50.2b	(/.f64 (.f64 -2 (exp.f64 (log.f64 (.f64 (/.f64 c b) a)))) (*.f64 2 a))
	55.0b	(pow.f64 (pow.f64 (neg.f64 (/.f64 c (*.f64 a (/.f64 b a)))) 3) 1/3)
	45.1b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4))))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
	43.4b	(fma.f64 (/.f64 -1/2 a) (.f64 b 2) (.f64 (/.f64 -1/2 a) (.f64 (/.f64 c b) (.f64 a -2))))
✓	43.2b	(/.f64 (neg.f64 b) a)
▶	56.0b	(/.f64 c b)

Compiler

Compiled 1338 to 942 computations (29.6% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)
✓	0.7b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	11.7b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2))
✓	23.7b	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)

Compiler

Compiled 86 to 46 computations (46.5% saved)

series46.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2))
5.0ms	a	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2))
2.0ms	a	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2))
2.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)
2.0ms	c	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2))

rewrite136.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`prod-diff_binary64`
607×	`log-prod_binary64`
287×	`fma-def_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	308	52
2	3767	52

Stop Event

1×	node limit

Counts

4 → 288

Calls

Call 1

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

Outputs
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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 0 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (#(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 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (exp.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/4))))) (#(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 a (.f64 c -4) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/4) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2) (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (.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 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 a (.f64 c -4)) 3)) (fma.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 a (.f64 c -4) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 4)))) (#(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 a (.f64 c -4) (.f64 b b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4) (exp.f64 (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 c -4)))) (exp.f64 (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 b b)) (+.f64 1 (expm1.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4))))) (#(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 a (.f64 c -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) 3) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (#(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 a (.f64 c -4) (.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) 1))))))

simplify227.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-def_binary64`
567×	`associate-r_binary64`
448×	`times-frac_binary64`
418×	`associate-l_binary64`
355×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	588	8275
1	2127	7365

Stop Event

1×	node limit

Counts

432 → 483

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
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(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))

Outputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(pow.f64 (.f64 c (.f64 -4 a)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 c (*.f64 -4 a)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 c (.f64 -4 a)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 c (*.f64 -4 a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 -1 (.f64 c (.f64 (.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 -1 (.f64 c (.f64 (.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 -3/2 (sqrt.f64 -1))))))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 c (.f64 (.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (.f64 (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/2)) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2))))) (.f64 c (.f64 (sqrt.f64 -1) (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (.f64 1 (+.f64 (.f64 (sqrt.f64 b) (.f64 (.f64 a a) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2))) (sqrt.f64 b))))
(-.f64 (.f64 (sqrt.f64 b) (+.f64 (.f64 (.f64 a a) (/.f64 (.f64 (.f64 c c) -3/2) (pow.f64 b 4))) 1)) (.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 1 (.f64 (pow.f64 a 3) (.f64 (fma.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -10/3)) (sqrt.f64 b))) (.f64 1 (+.f64 (.f64 (sqrt.f64 b) (.f64 (.f64 a a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) -3/2))) (sqrt.f64 b)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 b) (+.f64 (.f64 (pow.f64 a 3) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -7/2)) (.f64 (.f64 a a) (/.f64 (.f64 (.f64 c c) -3/2) (pow.f64 b 4))))) (sqrt.f64 b)) (.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
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(fma.f64 -1/8 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (.f64 c a) (.f64 b b))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (.f64 c a)) (.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 -1/8 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (.f64 c a) (.f64 b b))) (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 4))) (fma.f64 2 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (.f64 c a)) (.f64 b b)) (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (.f64 c a) (.f64 b b))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/6144)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 1/8 (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 b b)) a))) (pow.f64 c 3)) (fma.f64 2 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 c c)) (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 4))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (.f64 c a)) (.f64 b b)) (-.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) c)) (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 1/8 (/.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (.f64 (.f64 b b) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512)))))) (pow.f64 c 3))))

localize5.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 c (/.f64 a b)) b)
✓	3.8b	(*.f64 c (/.f64 a b))
✓	4.9b	(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))

Compiler

Compiled 48 to 17 computations (64.6% saved)

series47.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
38.0ms	a	@	-inf	(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
1.0ms	b	@	0	(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
1.0ms	c	@	0	(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
0.0ms	b	@	-inf	(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
0.0ms	a	@	inf	(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`prod-diff_binary64`
689×	`log-prod_binary64`
298×	`fma-def_binary64`
241×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	269	30
2	3683	30

Stop Event

1×	node limit

Counts

3 → 197

Calls

Call 1

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

Outputs

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

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

simplify184.0ms (1%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-def_binary64`
601×	`fma-neg_binary64`
345×	`div-sub_binary64`
262×	`times-frac_binary64`
215×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	991
1	22	883
2	38	883
3	55	883
4	87	883
5	162	883
6	334	883
7	538	883
8	890	883
9	1488	883
10	2257	883
11	3182	883
12	4016	883
13	4266	883
14	4296	883
15	4322	883
16	4322	883
17	4322	883

Stop Event

1×

saturated

Counts

305 → 207

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
✓	11.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series20.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(+.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))
1.0ms	a	@	inf	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
1.0ms	c	@	-inf	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
1.0ms	a	@	-inf	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
1.0ms	c	@	inf	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log-prod_binary64`
455×	`pow-prod-down_binary64`
362×	`fma-def_binary64`
331×	`pow2_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	261	39
2	3481	39

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
11×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	345
1	33	345
2	52	327
3	64	327
4	66	327
5	67	327

Stop Event

1×

saturated

Counts

161 → 143

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.1b	(exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))
✓	4.0b	(/.f64 (.f64 -2 (exp.f64 (log.f64 (.f64 (/.f64 c b) a)))) (*.f64 2 a))
✓	6.0b	(*.f64 (/.f64 c b) a)
✓	13.9b	(log.f64 (*.f64 (/.f64 c b) a))

Compiler

Compiled 54 to 18 computations (66.7% saved)

series319.0ms (1.7%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
108.0ms	c	@	-inf	(log.f64 (*.f64 (/.f64 c b) a))
47.0ms	b	@	0	(log.f64 (*.f64 (/.f64 c b) a))
38.0ms	c	@	0	(log.f64 (*.f64 (/.f64 c b) a))
31.0ms	a	@	0	(log.f64 (*.f64 (/.f64 c b) a))
24.0ms	b	@	-inf	(log.f64 (*.f64 (/.f64 c b) a))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`log-prod_binary64`
331×	`pow2_binary64`
279×	`pow-unpow_binary64`
235×	`pow1/3_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	265	35
2	3574	32

Stop Event

1×	node limit

Counts

4 → 245

Calls

Call 1

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

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

simplify271.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1950×	`fma-neg_binary64`
754×	`associate--r-_binary64`
590×	`associate--l-_binary64`
556×	`fma-def_binary64`
505×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	1136
1	99	1136
2	190	1132
3	500	1132
4	1615	1132
5	3278	1132
6	4615	1132
7	4953	1132
8	5098	1132
9	5147	1132
10	5153	1132
11	5154	1132
12	6414	1132
13	6414	1132
14	6414	1132
15	6414	1132

Stop Event

1×	node limit

Counts

389 → 209

Calls

Call 1

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

Outputs
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 a b)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 c a)) (.f64 -1 (log.f64 b)))
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(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (*.f64 c a)) (log.f64 (/.f64 1 b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (.f64 -1 (.f64 c a))))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 (*.f64 c a))))
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(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 (*.f64 c a))))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 c (neg.f64 a))))
(+.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 (neg.f64 a) b)))
(+.f64 (log.f64 (neg.f64 (/.f64 c b))) (log.f64 (neg.f64 a)))
(+.f64 (log.f64 (/.f64 (neg.f64 c) b)) (log.f64 (neg.f64 a)))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (.f64 -1 (.f64 c a))))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 (*.f64 c a))))
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(+.f64 (log.f64 (/.f64 (neg.f64 c) b)) (log.f64 (neg.f64 a)))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (.f64 -1 (.f64 c a))))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 (*.f64 c a))))
(+.f64 (log.f64 (/.f64 -1 b)) (log.f64 (*.f64 c (neg.f64 a))))
(+.f64 (log.f64 (neg.f64 c)) (log.f64 (/.f64 (neg.f64 a) b)))
(+.f64 (log.f64 (neg.f64 (/.f64 c b))) (log.f64 (neg.f64 a)))
(+.f64 (log.f64 (/.f64 (neg.f64 c) b)) (log.f64 (neg.f64 a)))
(+.f64 (log.f64 a) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
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(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 c b)))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 c) (log.f64 (/.f64 a b)))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
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(/.f64 (*.f64 c a) b)
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(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
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(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
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(/.f64 (*.f64 c a) b)
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(/.f64 (*.f64 c a) b)
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(/.f64 (*.f64 c a) b)
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(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
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(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
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(/.f64 (*.f64 c a) b)
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(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
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(*.f64 a (/.f64 c b))
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(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
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(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
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(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
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(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
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(neg.f64 (/.f64 c b))
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(*.f64 -1 (/.f64 c b))
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(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))

eval761.0ms (4%)

Compiler: Compiled 36109 to 22663 computations (37.2% saved)

prune368.0ms (1.9%)

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	1021	21	1042
Fresh	15	19	34
Picked	0	1	1
Done	1	7	8
Total	1037	48	1085

Error

0.3b

Counts

1085 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	41.0b	(pow.f64 (cbrt.f64 (neg.f64 (/.f64 (/.f64 c b) 1))) 3)
	43.9b	(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
	55.7b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
	45.1b	(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (.f64 2 a))
	43.4b	(fma.f64 (/.f64 -1/2 a) (.f64 b 2) (.f64 (/.f64 -1/2 a) (.f64 (/.f64 c b) (.f64 a -2))))
	53.7b	(pow.f64 (pow.f64 (neg.f64 (/.f64 (/.f64 c b) 1)) 3) 1/3)
	44.8b	(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
	46.5b	(/.f64 (/.f64 (.f64 c -2) (/.f64 b a)) (.f64 2 a))
	46.0b	(/.f64 (.f64 -2 (.f64 (/.f64 c 1) (/.f64 a b))) (*.f64 2 a))
	52.0b	(.f64 (+.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
	41.9b	(expm1.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 c b) 1))))
	50.1b	(/.f64 (-.f64 (.f64 b b) (.f64 a (.f64 -4 c))) (.f64 (.f64 a -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))))
✓	45.9b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	45.4b	(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
▶	35.9b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	44.1b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 3) (*.f64 2 a))
✓	38.4b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
	59.3b	(/.f64 (.f64 -2 (exp.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 b c))))) (.f64 2 a))
	50.6b	(cbrt.f64 (pow.f64 (neg.f64 (/.f64 (/.f64 c b) 1)) 3))
	43.3b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	48.8b	(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
	55.7b	(/.f64 0 (*.f64 2 a))
	45.9b	(/.f64 1 (/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2)))
✓	43.2b	(/.f64 (neg.f64 b) a)
	62.0b	(/.f64 (.f64 -2 (exp.f64 (exp.f64 (log.f64 (log.f64 (.f64 (/.f64 c b) a)))))) (*.f64 2 a))
	45.9b	(/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2))
	43.8b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.3b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	32.3b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	45.6b	(.f64 (exp.f64 (log.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))))) (/.f64 -1/2 a))
	61.5b	(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 b a) 1/2))
▶	54.5b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3))
	46.0b	(.f64 (+.f64 b (pow.f64 (pow.f64 (.f64 a (*.f64 -4 c)) 1/4) 2)) (/.f64 -1/2 a))
	48.9b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
	43.7b	(pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -1)
▶	40.6b	(/.f64 (neg.f64 c) b)
✓	56.0b	(/.f64 c b)
	44.4b	(/.f64 (.f64 -2 (.f64 (/.f64 1 b) (.f64 c a))) (.f64 2 a))
	52.0b	(.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) (/.f64 -1/2 a))
	43.9b	(.f64 -2 (/.f64 1 (.f64 (+.f64 a a) (/.f64 (/.f64 b c) a))))
✓	44.4b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	50.5b	(/.f64 (.f64 -2 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 c b) a))) 3))) (*.f64 2 a))
✓	43.5b	(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
✓	50.2b	(/.f64 (.f64 -2 (exp.f64 (log.f64 (.f64 (/.f64 c b) a)))) (*.f64 2 a))
	45.9b	(.f64 (+.f64 b (pow.f64 (.f64 a (*.f64 -4 c)) 1/2)) (/.f64 -1/2 a))
▶	43.4b	(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b)) (*.f64 2 a))
	61.6b	(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (neg.f64 b)))
▶	46.4b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))

Compiler

Compiled 1423 to 1020 computations (28.3% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))) (/.f64 -1/2 a))
✓	0.2b	(*.f64 b (/.f64 -1/2 a))
✓	3.4b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	11.7b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 68 to 44 computations (35.3% saved)

series15.0ms (0.1%)

Counts

3 → 52

Calls

24 calls:

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

rewrite133.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`log-prod_binary64`
454×	`fma-def_binary64`
389×	`pow2_binary64`
270×	`pow1/3_binary64`
269×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	307	46
2	4026	46

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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

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

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

simplify190.0ms (1%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-r_binary64`
669×	`associate-l_binary64`
476×	`times-frac_binary64`
409×	`fma-def_binary64`
362×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	122	1267
1	364	1087
2	1223	1019
3	6591	988
4	7913	984

Stop Event

1×	node limit

Counts

191 → 184

Calls

Call 1

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

Outputs
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) -1/2))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 -1/2 (sqrt.f64 -4)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4))))
(fma.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 -1/4 (*.f64 (/.f64 b (sqrt.f64 -4)) b))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4)))))
(+.f64 (.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64)))
(+.f64 (.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a))) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (.f64 (.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (/.f64 b (/.f64 -4 b))))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 b a))))
(fma.f64 1/16 (/.f64 (.f64 (.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 1/16 (/.f64 (.f64 16 (.f64 a (.f64 c c))) (pow.f64 b 3)) (/.f64 (.f64 1 c) b)) (/.f64 b a))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 1 a)))
(+.f64 (/.f64 c b) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 (neg.f64 b) a)))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(fma.f64 1/16 (/.f64 (.f64 16 (.f64 a (.f64 c c))) (pow.f64 b 3)) (-.f64 (fma.f64 -1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) (/.f64 (*.f64 1 c) b)) (/.f64 b a)))
(+.f64 (/.f64 c b) (+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 2 (.f64 a a))) (-.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (/.f64 b a))))
(fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 2 (.f64 a a)) (+.f64 (/.f64 c b) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 (neg.f64 b) a))))
(fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 2 (.f64 a a)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (-.f64 (/.f64 c b) (/.f64 b a))))
(.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) 1/4)
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 c b))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) -1/16))
(fma.f64 (/.f64 (.f64 16 (.f64 a (.f64 c c))) (pow.f64 b 3)) -1/16 (/.f64 (.f64 -1 c) b))
(+.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -1 a)))
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (.f64 (/.f64 (.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) 1/32)))
(+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 (/.f64 (.f64 16 (.f64 a (.f64 c c))) (pow.f64 b 3)) -1/16 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) 1/32)))
(+.f64 (/.f64 (neg.f64 c) b) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -1 a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (*.f64 a a) -2))))
(+.f64 (neg.f64 (/.f64 c b)) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (.f64 a a) -2))))
(+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) 2)) (.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (.f64 (/.f64 (.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) 1/32))))
(+.f64 (fma.f64 (/.f64 (.f64 16 (.f64 a (.f64 c c))) (pow.f64 b 3)) -1/16 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) 1/32)) (fma.f64 -1/4 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (.f64 a (pow.f64 b 7))) (/.f64 (*.f64 -1 c) b)))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (pow.f64 b 7))) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -1 a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (.f64 a a) -2)))))
(+.f64 (neg.f64 (/.f64 c b)) (fma.f64 -1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (*.f64 a a) -2)))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) -1/2))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 -1/2 (sqrt.f64 -4)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 -1/2 (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 -1/4 (.f64 (/.f64 b (sqrt.f64 -4)) b))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (.f64 (.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (/.f64 b (/.f64 -4 b))))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/32 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 7))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/32 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 7))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) -1/4)))))
(fma.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/64))))
(fma.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 7)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (.f64 (.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (/.f64 b (/.f64 -4 b)))))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 -1/2 (/.f64 b a) (/.f64 (*.f64 1 c) b))
(fma.f64 -1/2 (/.f64 b a) (/.f64 c b))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))
(fma.f64 1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 1/16 (/.f64 (.f64 16 (.f64 a (.f64 c c))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (/.f64 (.f64 1 c) b)))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 1 a)) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -1/32 (/.f64 (.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5))))))
(fma.f64 1/16 (/.f64 (.f64 16 (.f64 a (.f64 c c))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) (/.f64 (*.f64 1 c) b))))
(+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 2 (.f64 a a))) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 1 a)) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b))))
(+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 2 (.f64 a a))) (+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (fma.f64 -1/2 (/.f64 b a) (/.f64 c b))))
(*.f64 1/2 (/.f64 b a))
(*.f64 (/.f64 b a) 1/2)
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 1/2 (/.f64 b a)))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 b a) 1/2))
(fma.f64 (/.f64 b a) 1/2 (/.f64 (*.f64 -1 c) b))
(fma.f64 (/.f64 b a) 1/2 (/.f64 (neg.f64 c) b))
(fma.f64 (/.f64 b a) 1/2 (neg.f64 (/.f64 c b)))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 1/2 (/.f64 b a))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (.f64 (/.f64 b a) 1/2)))
(+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 (/.f64 (.f64 16 (.f64 a (.f64 c c))) (pow.f64 b 3)) -1/16 (*.f64 (/.f64 b a) 1/2)))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -1 a)) (fma.f64 (/.f64 b a) 1/2 (/.f64 (neg.f64 c) b)))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (fma.f64 (/.f64 b a) 1/2 (neg.f64 (/.f64 c b))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/32 (/.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (*.f64 (/.f64 b a) 1/2))))
(+.f64 (/.f64 (.f64 -1 c) b) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a (.f64 a -64))) 1/32 (fma.f64 (/.f64 (.f64 16 (.f64 a (.f64 c c))) (pow.f64 b 3)) -1/16 (.f64 (/.f64 b a) 1/2))))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 -1 a)) (+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (*.f64 a a) -2)) (fma.f64 (/.f64 b a) 1/2 (/.f64 (neg.f64 c) b))))
(+.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)) (+.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (.f64 a a) -2)) (fma.f64 (/.f64 b a) 1/2 (neg.f64 (/.f64 c b)))))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))

localize5.0ms (0%)

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

localize38.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (/.f64 c b) a) b)
✓	4.7b	(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b)) (*.f64 2 a))
	6.0b	(*.f64 (/.f64 c b) a)

Compiler

Compiled 47 to 16 computations (66% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log-prod_binary64`
742×	`prod-diff_binary64`
277×	`fma-def_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	251	23
2	3761	23

Stop Event

1×	node limit

Counts

2 → 187

Calls

Call 1

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

Outputs

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

simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-def_binary64`
601×	`fma-neg_binary64`
345×	`div-sub_binary64`
262×	`times-frac_binary64`
223×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	739
1	22	631
2	38	631
3	55	631
4	87	631
5	162	631
6	334	631
7	538	631
8	890	631
9	1488	631
10	2260	631
11	3193	631
12	4016	631
13	4266	631
14	4296	631
15	4322	631
16	4322	631
17	4322	631

Stop Event

1×

saturated

Counts

259 → 197

Calls

Call 1

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

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

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (.f64 b b) (.f64 a (*.f64 -4 c)))
✓	4.6b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
✓	10.9b	(.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c))))
✓	11.7b	(sqrt.f64 (.f64 a (.f64 -4 c)))

Compiler

Compiled 80 to 46 computations (42.5% saved)

series30.0ms (0.2%)

Counts

4 → 86

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
3.0ms	c	@	-inf	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
3.0ms	a	@	inf	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
3.0ms	a	@	-inf	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))
2.0ms	c	@	0	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 a (.f64 -4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
306×	`expm1-udef_binary64`
306×	`log1p-udef_binary64`
289×	`fma-neg_binary64`
252×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	350	58
2	5082	58

Stop Event

1×	node limit

Counts

4 → 319

Calls

Call 1

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

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

570×	`associate-/l/_binary64`
436×	`associate-/r/_binary64`
361×	`fma-def_binary64`
288×	`distribute-rgt-in_binary64`
277×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	1293
1	250	1183
2	811	1124
3	3567	1023

Stop Event

1×	node limit

Counts

405 → 345

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(*.f64 -1/2 (/.f64 b a))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 3)) (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 c) (.f64 -1 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 (.f64 (-.f64 (.f64 4 c) (.f64 -1 (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (sqrt.f64 -4)) (pow.f64 b 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 c) (.f64 -1 (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 c) (.f64 -1 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 (.f64 (sqrt.f64 -4) (-.f64 (.f64 4 c) (.f64 -1 (.f64 c (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 2)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 c) (.f64 -1 (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(*.f64 -1/2 (/.f64 b 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)))
(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
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 b (/.f64 a b)))
(.f64 -1/2 (.f64 (/.f64 b a) b))
(*.f64 (/.f64 (/.f64 b -2) a) b)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 b (/.f64 a b)))
(.f64 -1/2 (.f64 (/.f64 b a) b))
(*.f64 (/.f64 (/.f64 b -2) a) b)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 b (/.f64 a b)))
(.f64 -1/2 (.f64 (/.f64 b a) b))
(*.f64 (/.f64 (/.f64 b -2) a) b)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 b (/.f64 a b)))
(.f64 -1/2 (.f64 (/.f64 b a) b))
(*.f64 (/.f64 (/.f64 b -2) a) b)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(*.f64 -2 c)
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(+.f64 (.f64 -2 c) (.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(fma.f64 -2 c (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -2 c))
(fma.f64 -1/2 (.f64 (/.f64 b a) b) (.f64 -2 c))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 (/.f64 b -2) a)
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (/.f64 (/.f64 b -2) a))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -1/2 (.f64 (.f64 b b) (+.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))) (.f64 -4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (.f64 (.f64 b b) (fma.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -4)) (.f64 (.f64 -4 (/.f64 -1/4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))) (/.f64 (*.f64 -1/2 b) a)))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (-.f64 (/.f64 -1 (sqrt.f64 -4)) (/.f64 -1 (sqrt.f64 -4))))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 b (+.f64 (/.f64 -1/2 a) (.f64 b 0))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 3)) (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (+.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (/.f64 (sqrt.f64 -4) (pow.f64 b 3)))) (fma.f64 2 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (.f64 -1/2 (.f64 (.f64 b b) (+.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (.f64 (/.f64 (fma.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -4)) (.f64 (.f64 -4 (/.f64 -1/4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))))) (sqrt.f64 -4)) (pow.f64 b 3))) (fma.f64 -1/2 (.f64 (.f64 b b) (fma.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -4)) (.f64 (.f64 -4 (/.f64 -1/4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))) (/.f64 (.f64 -1/2 b) a))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (.f64 (/.f64 (pow.f64 b 3) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (-.f64 (/.f64 -1 (sqrt.f64 -4)) (/.f64 -1 (sqrt.f64 -4)))))) (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (-.f64 (/.f64 -1 (sqrt.f64 -4)) (/.f64 -1 (sqrt.f64 -4)))))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) 0 (.f64 b (+.f64 (/.f64 -1/2 a) (.f64 b 0)))))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 (/.f64 b -2) a)
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 c) (.f64 -1 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 (.f64 (-.f64 (.f64 4 c) (.f64 -1 (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (sqrt.f64 -4)) (pow.f64 b 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 c) (.f64 -1 (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 (/.f64 b -2) a)
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 c) (.f64 -1 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 (.f64 (sqrt.f64 -4) (-.f64 (.f64 4 c) (.f64 -1 (.f64 c (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 2)))) (+.f64 (.f64 -1/2 (/.f64 b a)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 c) (.f64 -1 (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 (/.f64 b -2) a)
(.f64 4 (.f64 c a))
(.f64 (.f64 c 4) a)
(.f64 a (.f64 c 4))
(.f64 c (.f64 a 4))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(.f64 4 (.f64 c a))
(.f64 (.f64 c 4) a)
(.f64 a (.f64 c 4))
(.f64 c (.f64 a 4))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(.f64 4 (.f64 c a))
(.f64 (.f64 c 4) a)
(.f64 a (.f64 c 4))
(.f64 c (.f64 a 4))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(.f64 4 (.f64 c a))
(.f64 (.f64 c 4) a)
(.f64 a (.f64 c 4))
(.f64 c (.f64 a 4))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(.f64 4 (.f64 c a))
(.f64 (.f64 c 4) a)
(.f64 a (.f64 c 4))
(.f64 c (.f64 a 4))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))
(+.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c 4) a))
(fma.f64 b b (.f64 a (.f64 c 4)))
(fma.f64 b b (.f64 c (.f64 a 4)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3)
✓	1.5b	(fma.f64 c (/.f64 a b) (neg.f64 b))
✓	4.7b	(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)
✓	28.9b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3))

Compiler

Compiled 51 to 13 computations (74.5% saved)

series19.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3))
1.0ms	b	@	0	(pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3)
1.0ms	a	@	0	(pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3)
1.0ms	c	@	0	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3))
1.0ms	b	@	-inf	(pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3)

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
371×	`exp-prod_binary64`
305×	`pow-prod-down_binary64`
253×	`pow2_binary64`
195×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	242	44
2	2978	44

Stop Event

1×	node limit

Counts

4 → 248

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3))
(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)
(fma.f64 c (/.f64 a b) (neg.f64 b))
(pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 c (/.f64 a b) b) (.f64 (/.f64 1 a) (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (fma.f64 c 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a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 2) 1) (/.f64 (fma.f64 c (/.f64 a b) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 5/2) (sqrt.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a))) 2) (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 a 3) (pow.f64 (fma.f64 c (/.f64 a b) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 a (fma.f64 c (/.f64 a b) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 2) (/.f64 a (fma.f64 c (/.f64 a b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 c (/.f64 a b) b) 3) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 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6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) b) a)) 3/2) 2))))))

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

438×	`associate-+l+_binary64`
324×	`associate-/r/_binary64`
315×	`distribute-rgt-out_binary64`
311×	`associate-/l/_binary64`
293×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	2238
1	410	2059
2	1346	2015
3	4838	1811

Stop Event

1×	node limit

Counts

392 → 245

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(.f64 -1 (/.f64 (.f64 c (cbrt.f64 -1)) b))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) b) a) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) b) a) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) b) a) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(/.f64 (*.f64 c a) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(/.f64 (*.f64 c a) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(*.f64 -1 b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(/.f64 (*.f64 c a) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(/.f64 (*.f64 c a) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(/.f64 (*.f64 c a) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(*.f64 -1 b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(*.f64 -1 b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 (+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) c))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 (+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) c)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 (+.f64 (*.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) c))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) c) (+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(+.f64 (.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) c) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (*.f64 a b))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (.f64 c (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (.f64 -2 (/.f64 b (pow.f64 a 2)))))) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (.f64 c (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (*.f64 -2 (/.f64 b (pow.f64 a 2)))))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2)))))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2)))))))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2))))))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b)))))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 2 (/.f64 (*.f64 c b) (pow.f64 a 2)))))))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2))))))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)) (.f64 2 (/.f64 (*.f64 c b) (pow.f64 a 2))))))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2)))))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b)))))
(+.f64 (.f64 (+.f64 (/.f64 c (pow.f64 a 2)) (.f64 2 (/.f64 c (pow.f64 a 2)))) b) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))))))
(+.f64 (.f64 (+.f64 (/.f64 c (pow.f64 a 2)) (.f64 2 (/.f64 c (pow.f64 a 2)))) b) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) b) (*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) b) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (*.f64 a b))))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) b) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 -1 (.f64 b (+.f64 (.f64 -2 (/.f64 c (pow.f64 a 2))) (*.f64 -1 (/.f64 c (pow.f64 a 2)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) a) (.f64 2 (/.f64 (pow.f64 c 2) a))) b)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 -1 (.f64 b (+.f64 (.f64 -2 (/.f64 c (pow.f64 a 2))) (*.f64 -1 (/.f64 c (pow.f64 a 2))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) a) (.f64 2 (/.f64 (pow.f64 c 2) a))) b)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 -1 (.f64 b (+.f64 (.f64 -2 (/.f64 c (pow.f64 a 2))) (*.f64 -1 (/.f64 c (pow.f64 a 2)))))))))

Outputs
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 -1 (/.f64 (.f64 c (cbrt.f64 -1)) b))
(neg.f64 (/.f64 c (/.f64 b (cbrt.f64 -1))))
(/.f64 (neg.f64 c) (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (neg.f64 (cbrt.f64 -1)))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) b) a) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))
(+.f64 (neg.f64 (/.f64 c (/.f64 b (cbrt.f64 -1)))) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(-.f64 (/.f64 b (/.f64 a (cbrt.f64 -1))) (*.f64 (/.f64 c b) (cbrt.f64 -1)))
(-.f64 (.f64 (/.f64 b a) (cbrt.f64 -1)) (.f64 (/.f64 c b) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (-.f64 (/.f64 b a) (/.f64 c b)))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) b) a) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))
(+.f64 (neg.f64 (/.f64 c (/.f64 b (cbrt.f64 -1)))) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(-.f64 (/.f64 b (/.f64 a (cbrt.f64 -1))) (*.f64 (/.f64 c b) (cbrt.f64 -1)))
(-.f64 (.f64 (/.f64 b a) (cbrt.f64 -1)) (.f64 (/.f64 c b) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (-.f64 (/.f64 b a) (/.f64 c b)))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) b) a) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))
(+.f64 (neg.f64 (/.f64 c (/.f64 b (cbrt.f64 -1)))) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(-.f64 (/.f64 b (/.f64 a (cbrt.f64 -1))) (*.f64 (/.f64 c b) (cbrt.f64 -1)))
(-.f64 (.f64 (/.f64 b a) (cbrt.f64 -1)) (.f64 (/.f64 c b) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (-.f64 (/.f64 b a) (/.f64 c b)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
(+.f64 (neg.f64 b) (/.f64 c (/.f64 b a)))
(-.f64 (*.f64 (/.f64 c b) a) b)
(-.f64 (*.f64 a (/.f64 c b)) b)
(+.f64 (/.f64 (.f64 c a) b) (.f64 -1 b))
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(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 (.f64 3 (/.f64 b (.f64 a a))) c (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (fma.f64 -3 (/.f64 c (/.f64 (*.f64 b a) c)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 (.f64 (/.f64 c b) c) (+.f64 (/.f64 c (.f64 b b)) (/.f64 -3 a))) (.f64 (/.f64 b (.f64 a a)) (-.f64 (.f64 c 3) (/.f64 (*.f64 b b) a))))
(-.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 b a) (/.f64 c b))))) (pow.f64 (/.f64 b a) 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(pow.f64 (/.f64 c b) 3)
(+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)))
(fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(fma.f64 -3 (/.f64 c (/.f64 (*.f64 b a) c)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(.f64 (.f64 (/.f64 c b) c) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 -3 a)))
(fma.f64 -3 (*.f64 (/.f64 c b) (/.f64 c a)) (pow.f64 (/.f64 c b) 3))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)) (.f64 2 (/.f64 (*.f64 c b) (pow.f64 a 2))))))
(fma.f64 (.f64 3 (/.f64 b (.f64 a a))) c (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (fma.f64 -3 (/.f64 c (/.f64 (*.f64 b a) c)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(fma.f64 b (.f64 3 (/.f64 c (.f64 a a))) (.f64 (.f64 (/.f64 c b) c) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 -3 a))))
(-.f64 (pow.f64 (/.f64 c b) 3) (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 b a) (/.f64 c b)))))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 (.f64 3 (/.f64 b (.f64 a a))) c (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (fma.f64 -3 (/.f64 c (/.f64 (*.f64 b a) c)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 (.f64 (/.f64 c b) c) (+.f64 (/.f64 c (.f64 b b)) (/.f64 -3 a))) (.f64 (/.f64 b (.f64 a a)) (-.f64 (.f64 c 3) (/.f64 (*.f64 b b) a))))
(-.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 b a) (/.f64 c b))))) (pow.f64 (/.f64 b a) 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(pow.f64 (/.f64 c b) 3)
(+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b)))))
(fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(fma.f64 -3 (/.f64 c (/.f64 (*.f64 b a) c)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(.f64 (.f64 (/.f64 c b) c) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 -3 a)))
(fma.f64 -3 (*.f64 (/.f64 c b) (/.f64 c a)) (pow.f64 (/.f64 c b) 3))
(+.f64 (.f64 (+.f64 (/.f64 c (pow.f64 a 2)) (.f64 2 (/.f64 c (pow.f64 a 2)))) b) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))))))
(fma.f64 (.f64 3 (/.f64 b (.f64 a a))) c (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (fma.f64 -3 (/.f64 c (/.f64 (*.f64 b a) c)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(fma.f64 b (.f64 3 (/.f64 c (.f64 a a))) (.f64 (.f64 (/.f64 c b) c) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 -3 a))))
(-.f64 (pow.f64 (/.f64 c b) 3) (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 b a) (/.f64 c b)))))
(+.f64 (.f64 (+.f64 (/.f64 c (pow.f64 a 2)) (.f64 2 (/.f64 c (pow.f64 a 2)))) b) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 (.f64 3 (/.f64 b (.f64 a a))) c (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (fma.f64 -3 (/.f64 c (/.f64 (*.f64 b a) c)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 (.f64 (/.f64 c b) c) (+.f64 (/.f64 c (.f64 b b)) (/.f64 -3 a))) (.f64 (/.f64 b (.f64 a a)) (-.f64 (.f64 c 3) (/.f64 (*.f64 b b) a))))
(-.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 b a) (/.f64 c b))))) (pow.f64 (/.f64 b a) 3))
(*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(neg.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3))
(neg.f64 (pow.f64 (/.f64 b a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) b) (*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 c (.f64 3 (/.f64 b (*.f64 a a)))))
(fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (neg.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(.f64 (/.f64 b (.f64 a a)) (-.f64 (.f64 c 3) (/.f64 (.f64 b b) a)))
(-.f64 (.f64 (/.f64 c (.f64 a a)) (*.f64 b 3)) (pow.f64 (/.f64 b a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) b) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (*.f64 a b))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (.f64 c (.f64 3 (/.f64 b (*.f64 a a))))))
(-.f64 (fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (.f64 -3 (/.f64 c (/.f64 (.f64 b a) c)))) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 (/.f64 c b) (.f64 (/.f64 c a) -3)) (.f64 (/.f64 b (.f64 a a)) (-.f64 (.f64 c 3) (/.f64 (.f64 b b) a))))
(-.f64 (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 c b) (/.f64 b a)))) (pow.f64 (/.f64 b a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) b) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 (.f64 3 (/.f64 b (.f64 a a))) c (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (fma.f64 -3 (/.f64 c (/.f64 (*.f64 b a) c)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 (.f64 (/.f64 c b) c) (+.f64 (/.f64 c (.f64 b b)) (/.f64 -3 a))) (.f64 (/.f64 b (.f64 a a)) (-.f64 (.f64 c 3) (/.f64 (*.f64 b b) a))))
(-.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 b a) (/.f64 c b))))) (pow.f64 (/.f64 b a) 3))
(*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(neg.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3))
(neg.f64 (pow.f64 (/.f64 b a) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 -1 (.f64 b (+.f64 (.f64 -2 (/.f64 c (pow.f64 a 2))) (*.f64 -1 (/.f64 c (pow.f64 a 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 c (.f64 3 (/.f64 b (*.f64 a a)))))
(fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (neg.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(.f64 (/.f64 b (.f64 a a)) (-.f64 (.f64 c 3) (/.f64 (.f64 b b) a)))
(-.f64 (.f64 (/.f64 c (.f64 a a)) (*.f64 b 3)) (pow.f64 (/.f64 b a) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) a) (.f64 2 (/.f64 (pow.f64 c 2) a))) b)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 -1 (.f64 b (+.f64 (.f64 -2 (/.f64 c (pow.f64 a 2))) (*.f64 -1 (/.f64 c (pow.f64 a 2))))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (.f64 c (.f64 3 (/.f64 b (*.f64 a a))))))
(-.f64 (fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (.f64 -3 (/.f64 c (/.f64 (.f64 b a) c)))) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 (/.f64 c b) (.f64 (/.f64 c a) -3)) (.f64 (/.f64 b (.f64 a a)) (-.f64 (.f64 c 3) (/.f64 (.f64 b b) a))))
(-.f64 (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 c b) (/.f64 b a)))) (pow.f64 (/.f64 b a) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) a) (.f64 2 (/.f64 (pow.f64 c 2) a))) b)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 -1 (.f64 b (+.f64 (.f64 -2 (/.f64 c (pow.f64 a 2))) (*.f64 -1 (/.f64 c (pow.f64 a 2)))))))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 (.f64 3 (/.f64 b (.f64 a a))) c (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 c (/.f64 (.f64 3 b) (.f64 a a)) (fma.f64 -3 (/.f64 c (/.f64 (*.f64 b a) c)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(+.f64 (.f64 (.f64 (/.f64 c b) c) (+.f64 (/.f64 c (.f64 b b)) (/.f64 -3 a))) (.f64 (/.f64 b (.f64 a a)) (-.f64 (.f64 c 3) (/.f64 (*.f64 b b) a))))
(-.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 b a) (/.f64 c b))))) (pow.f64 (/.f64 b a) 3))

eval655.0ms (3.4%)

Compiler: Compiled 27050 to 15242 computations (43.7% saved)

prune433.0ms (2.3%)

Pruning

46 alts after pruning (37 fresh and 9 done)

	Pruned	Kept	Total
New	1036	13	1049
Fresh	11	24	35
Picked	1	0	1
Done	3	9	12
Total	1051	46	1097

Error

0.3b

Counts

1097 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	55.7b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
	42.2b	(/.f64 (.f64 -2 c) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))
	45.1b	(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (.f64 2 a))
	54.0b	(cbrt.f64 (-.f64 (.f64 -3 (.f64 (/.f64 c a) (-.f64 (/.f64 c b) (/.f64 b a)))) (pow.f64 (/.f64 b a) 3)))
	43.9b	(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
	54.0b	(cbrt.f64 (-.f64 (.f64 (/.f64 c (.f64 a a)) (*.f64 b 3)) (pow.f64 (/.f64 b a) 3)))
	44.8b	(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
	46.5b	(/.f64 (/.f64 (.f64 c -2) (/.f64 b a)) (.f64 2 a))
	46.0b	(/.f64 (.f64 -2 (.f64 (/.f64 c 1) (/.f64 a b))) (*.f64 2 a))
	52.0b	(.f64 (+.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
	41.9b	(expm1.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 c b) 1))))
	54.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3))
	45.4b	(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
✓	35.9b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	44.1b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 3) (*.f64 2 a))
✓	38.4b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
	59.3b	(/.f64 (.f64 -2 (exp.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 b c))))) (.f64 2 a))
	41.6b	(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)))
	50.6b	(cbrt.f64 (pow.f64 (neg.f64 (/.f64 (/.f64 c b) 1)) 3))
	43.3b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	48.8b	(/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 a (.f64 c -4)))) (.f64 (.f64 a -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4)))))))
	43.3b	(-.f64 (/.f64 c b) (/.f64 b a))
	55.7b	(/.f64 0 (*.f64 2 a))
✓	43.2b	(/.f64 (neg.f64 b) a)
	45.9b	(/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2))
✓	32.3b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	56.2b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (/.f64 c b)) a) 3))
	61.5b	(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 b a) 1/2))
	51.6b	(fma.f64 (cbrt.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a))) (cbrt.f64 (.f64 (/.f64 1/4 (.f64 a a)) (fma.f64 b b (.f64 a (.f64 c -4))))) (/.f64 b (.f64 a -2)))
	48.5b	(+.f64 (.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
✓	40.6b	(/.f64 (neg.f64 c) b)
✓	56.0b	(/.f64 c b)
	43.3b	(+.f64 (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)) (*.f64 b (/.f64 -1/2 a)))
	61.6b	(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (neg.f64 b)))
	44.4b	(/.f64 (.f64 -2 (.f64 (/.f64 1 b) (.f64 c a))) (.f64 2 a))
	52.0b	(.f64 (fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c) b) (/.f64 -1/2 a))
	43.9b	(.f64 -2 (/.f64 1 (.f64 (+.f64 a a) (/.f64 (/.f64 b c) a))))
	54.1b	(cbrt.f64 (pow.f64 (/.f64 (neg.f64 b) a) 3))
✓	44.4b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	50.5b	(/.f64 (.f64 -2 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 c b) a))) 3))) (*.f64 2 a))
✓	43.5b	(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
✓	50.2b	(/.f64 (.f64 -2 (exp.f64 (log.f64 (.f64 (/.f64 c b) a)))) (*.f64 2 a))
	54.5b	(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))
	43.4b	(+.f64 0 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))
	53.7b	(pow.f64 (pow.f64 (neg.f64 (/.f64 (/.f64 c b) 1)) 3) 1/3)
	43.7b	(pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -1)

Compiler

Compiled 731 to 514 computations (29.7% saved)

regimes2.4s (12.6%)

Counts

91 → 3

Calls

Call 1

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

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

Calls

4 calls:

932.0ms	a
725.0ms	c
353.0ms	b
287.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Results

Error	Segments	Branch
23.5b	13	`a`
7.2b	3	`b`
25.5b	7	`c`
14.1b	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 1285 to 708 computations (44.9% saved)

bsearch244.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	6.005208319185531e+86	6.392323419935737e+87
142.0ms	-3.052745726154052e-103	-1.5176473410097125e-104

Compiler

Compiled 403 to 292 computations (27.5% saved)

regimes591.0ms (3.1%)

Counts

42 → 3

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 0 (*.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(+.f64 0 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
(/.f64 (/.f64 (.f64 c -2) (/.f64 b a)) (.f64 2 a))
(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
(/.f64 (.f64 -2 (.f64 (/.f64 c 1) (/.f64 a b))) (*.f64 2 a))
(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b)) (*.f64 2 a))
(/.f64 (.f64 -2 (.f64 (/.f64 c 1) (/.f64 a b))) (*.f64 2 a))
(/.f64 (.f64 -2 (.f64 (/.f64 1 b) (.f64 c a))) (.f64 2 a))
(.f64 -2 (/.f64 1 (.f64 (+.f64 a a) (/.f64 (/.f64 b c) a))))
(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
(.f64 (+.f64 (.f64 (/.f64 c b) (.f64 a -2)) (.f64 b 2)) (/.f64 -1/2 a))
(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 b a) 1/2))
(pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -1)
(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (neg.f64 b)))
(/.f64 (.f64 -2 c) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))
(/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (pow.f64 (.f64 a (*.f64 -4 c)) 1/2)) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(+.f64 (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)) (*.f64 b (/.f64 -1/2 a)))
(/.f64 1 (/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2)))
(/.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2))) (*.f64 a -2))
(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))

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

Calls

3 calls:

216.0ms	a
193.0ms	c
166.0ms	b

Results

Error	Segments	Branch
27.6b	9	`a`
7.2b	3	`b`
28.4b	7	`c`

Compiler

Compiled 468 to 250 computations (46.6% saved)

bsearch292.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
179.0ms	2.118286627598634e+54	1.0427930380171383e+63
113.0ms	-3.052745726154052e-103	-1.5176473410097125e-104

Compiler

Compiled 573 to 402 computations (29.8% saved)

regimes784.0ms (4.1%)

Counts

41 → 3

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 0 (*.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(+.f64 0 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
(/.f64 (/.f64 (.f64 c -2) (/.f64 b a)) (.f64 2 a))
(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
(/.f64 (.f64 -2 (.f64 (/.f64 c 1) (/.f64 a b))) (*.f64 2 a))
(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b)) (*.f64 2 a))
(/.f64 (.f64 -2 (.f64 (/.f64 c 1) (/.f64 a b))) (*.f64 2 a))
(/.f64 (.f64 -2 (.f64 (/.f64 1 b) (.f64 c a))) (.f64 2 a))
(.f64 -2 (/.f64 1 (.f64 (+.f64 a a) (/.f64 (/.f64 b c) a))))
(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
(.f64 (+.f64 (.f64 (/.f64 c b) (.f64 a -2)) (.f64 b 2)) (/.f64 -1/2 a))
(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 b a) 1/2))
(pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -1)
(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (neg.f64 b)))
(/.f64 (.f64 -2 c) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c)))))
(/.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b) (*.f64 a -2))
(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (pow.f64 (.f64 a (*.f64 -4 c)) 1/2)) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(+.f64 (fma.f64 -1/2 (/.f64 b a) (/.f64 c b)) (*.f64 b (/.f64 -1/2 a)))
(/.f64 1 (/.f64 a (.f64 (+.f64 (sqrt.f64 (.f64 a (*.f64 -4 c))) b) -1/2)))
(/.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (.f64 a -2))) (*.f64 a -2))
(.f64 (fma.f64 b 2 (.f64 (/.f64 c b) (*.f64 a -2))) (/.f64 -1/2 a))
(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))

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

Calls

3 calls:

422.0ms	c
254.0ms	a
86.0ms	b

Results

Error	Segments	Branch
31.3b	10	`a`
9.8b	3	`b`
30.6b	14	`c`

Compiler

Compiled 452 to 240 computations (46.9% saved)

bsearch213.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
116.0ms	1.337001846553074e-152	2.3794051575600287e-133
96.0ms	-3.052745726154052e-103	-1.5176473410097125e-104

Compiler

Compiled 464 to 335 computations (27.8% saved)

regimes313.0ms (1.6%)

Counts

30 → 2

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 0 (*.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(+.f64 0 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
(/.f64 (/.f64 (.f64 c -2) (/.f64 b a)) (.f64 2 a))
(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
(/.f64 (.f64 -2 (.f64 (/.f64 c 1) (/.f64 a b))) (*.f64 2 a))
(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b)) (*.f64 2 a))
(/.f64 (.f64 -2 (.f64 (/.f64 c 1) (/.f64 a b))) (*.f64 2 a))
(/.f64 (.f64 -2 (.f64 (/.f64 1 b) (.f64 c a))) (.f64 2 a))
(.f64 -2 (/.f64 1 (.f64 (+.f64 a a) (/.f64 (/.f64 b c) a))))
(.f64 (.f64 -2 (-.f64 (*.f64 c (/.f64 a b)) b)) (/.f64 -1/2 a))
(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
(.f64 (+.f64 (.f64 (/.f64 c b) (.f64 a -2)) (.f64 b 2)) (/.f64 -1/2 a))
(.f64 (+.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 b a) 1/2))
(pow.f64 (.f64 -1 (/.f64 a (.f64 (/.f64 c b) a))) -1)
(fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (neg.f64 b)))

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

Calls

3 calls:

159.0ms	c
115.0ms	a
28.0ms	b

Results

Error	Segments	Branch
34.7b	8	`a`
21.3b	2	`b`
34.5b	9	`c`

Compiler

Compiled 304 to 152 computations (50% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	-8.599913812948e-298	-1.166906510701548e-298

Compiler

Compiled 140 to 97 computations (30.7% saved)

regimes78.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(/.f64 0 (*.f64 2 a))

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

Calls

3 calls:

34.0ms	a
33.0ms	c
9.0ms	b

Results

Error	Segments	Branch
34.7b	8	`a`
21.4b	2	`b`
35.5b	7	`c`

Compiler

Compiled 39 to 21 computations (46.2% saved)

bsearch98.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
98.0ms	-1.3799865313123426e-241	-1.8692226452945106e-253

Compiler

Compiled 186 to 139 computations (25.3% saved)

regimes13.0ms (0.1%)

Accuracy

Total -15.9b remaining (-39.2%)

Threshold costs -15.9b (-39.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	b
4.0ms	c
4.0ms	a

Results

Error	Segments	Branch
40.6b	1	`a`
40.6b	1	`b`
40.6b	1	`c`

Compiler

Compiled 26 to 15 computations (42.3% saved)

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

23×	`+-commutative_binary64`
23×	`*-commutative_binary64`
19×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	210
1	94	210
2	124	210
3	159	210
4	177	210
5	186	210
6	189	210

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 620000000000000036678016430180676428940450101584187946557174576726819966485808789061632) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 2199999999999999900015495353360965682372106714334887936) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))))
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 6368561591886351/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (/.f64 (.f64 -2 c) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -5655053629744163/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -6273497557236025/33018408195979077897021236557282287907427957877257595132997544314167118909795303717151078492978574243417149687078570542430146722468917846078158686153933723556774167749937817760545719854776652565814014556763199275259251768296972608677399806172939779780596161306108624896) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 c) b)
(/.f64 c b)

Outputs
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 620000000000000036678016430180676428940450101584187946557174576726819966485808789061632) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 620000000000000036678016430180676428940450101584187946557174576726819966485808789061632) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 a 2)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 620000000000000036678016430180676428940450101584187946557174576726819966485808789061632) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) -4)))) (.f64 a 2)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 2199999999999999900015495353360965682372106714334887936) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))))
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 2199999999999999900015495353360965682372106714334887936) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 a 2))))
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 6368561591886351/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (/.f64 (.f64 -2 c) (-.f64 b (sqrt.f64 (.f64 a (*.f64 -4 c))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (/.f64 (neg.f64 c) b) (if (<=.f64 b 6368561591886351/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (/.f64 (.f64 c -2) (-.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -5655053629744163/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -6273497557236025/33018408195979077897021236557282287907427957877257595132997544314167118909795303717151078492978574243417149687078570542430146722468917846078158686153933723556774167749937817760545719854776652565814014556763199275259251768296972608677399806172939779780596161306108624896) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(if (<=.f64 b -6273497557236025/33018408195979077897021236557282287907427957877257595132997544314167118909795303717151078492978574243417149687078570542430146722468917846078158686153933723556774167749937817760545719854776652565814014556763199275259251768296972608677399806172939779780596161306108624896) (/.f64 (neg.f64 c) b) (neg.f64 (/.f64 b a)))
(/.f64 (neg.f64 c) b)
(/.f64 c b)

Compiler

Compiled 162 to 106 computations (34.6% saved)

soundness512.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1950×	`fma-neg_binary64`
754×	`associate--r-_binary64`
708×	`fma-neg_binary64`
706×	`fma-def_binary64`
596×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	1136
1	99	1136
2	190	1132
3	500	1132
4	1615	1132
5	3278	1132
6	4615	1132
7	4953	1132
8	5098	1132
9	5147	1132
10	5153	1132
11	5154	1132
12	6414	1132
13	6414	1132
14	6414	1132
15	6414	1132
0	151	2214
1	462	2111
2	1564	2000
3	7491	2000

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 46 to 34 computations (26.1% saved)

end64.0ms (0.3%)

Compiler: Compiled 144 to 68 computations (52.8% saved)