Details

analyze685.0ms (3.3%)

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)

sample4.9s (23.7%)

Results

2.0s	5590×	body	256	valid
1.0s	1121×	body	2048	valid
631.0ms	748×	body	1024	valid
429.0ms	399×	body	4096	valid
327.0ms	1030×	body	256	invalid
242.0ms	398×	body	512	valid
107.0ms	547×	body	256	infinite

Bogosity

preprocess80.0ms (0.4%)

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 (0.6%)

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

29.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
▶	29.1b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize156.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓	1.5b	(fma.f64 b b (.f64 a (.f64 c -4)))
✓	20.5b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series26.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite118.0ms (0.6%)

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))))
(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 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))

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

simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
609×	`fma-neg_binary64`
571×	`associate-r_binary64`
570×	`times-frac_binary64`
536×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2203
1	440	2105
2	1480	1988
3	7144	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 -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)))))
(.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))))

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

localize26.0ms (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))
✓	0.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	1.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	20.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 73 to 32 computations (56.2% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite134.0ms (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 (.f64 b b) (.f64 4 (*.f64 a c)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Outputs
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simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
706×	`fma-def_binary64`
592×	`associate-r_binary64`
579×	`times-frac_binary64`
559×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2214
1	462	2111
2	1564	2000
3	7470	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 -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 (.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 -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 b (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -4 (pow.f64 a 3)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 b))
(-.f64 (.f64 (/.f64 2 b) (.f64 c a)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 (.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))))
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(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 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 b -2 (.f64 2 (.f64 (/.f64 c b) a)))
(fma.f64 b -2 (.f64 (/.f64 2 b) (.f64 c a)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(fma.f64 2 (/.f64 (.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 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (.f64 b -2)))
(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 -1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) -1/2))
(+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(.f64 -1/2 (+.f64 (/.f64 b a) (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.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 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))))))
(fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(+.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 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))))
(+.f64 (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 -1/4 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))))) -1/64))
(*.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 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (.f64 2 (pow.f64 c 3)) (*.f64 a a)) (pow.f64 b 5))))
(-.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 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(.f64 -1 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.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 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.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 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 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 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (.f64 2 (pow.f64 c 3)) (*.f64 a a)) (pow.f64 b 5))))
(-.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 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (.f64 2 (pow.f64 c 3)) (*.f64 a a)) (pow.f64 b 5))))
(-.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))

eval429.0ms (2.1%)

Compiler: Compiled 19038 to 11066 computations (41.9% saved)

prune208.0ms (1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	677	28	705
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	678	29	707

Error

5.5b

Counts

707 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
▶	45.7b	(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
	40.6b	(.f64 (.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))))))) (/.f64 -1/2 a))
	42.8b	(/.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)))))))
	47.5b	(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
▶	40.6b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	48.0b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	57.2b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
	28.9b	(/.f64 1 (/.f64 a (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	47.7b	(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))))
▶	28.9b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
	53.5b	(pow.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 2)
	37.7b	(.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
	32.1b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
	29.5b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
▶	46.2b	(/.f64 (neg.f64 b) a)
▶	32.1b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))
	40.6b	(/.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))))))
	47.4b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	40.7b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	46.4b	(-.f64 (/.f64 c b) (/.f64 b a))
	46.3b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	29.1b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	57.3b	(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
	42.8b	(/.f64 (neg.f64 c) b)
	57.4b	(/.f64 (-.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 2 b) (.f64 c a)) b)) (*.f64 2 a))
	30.5b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	29.5b	(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
	32.6b	(.f64 (+.f64 b (exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1/2))) (/.f64 -1/2 a))

Compiler

Compiled 1048 to 728 computations (30.5% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))
✓	0.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
✓	0.1b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	12.7b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 57 to 36 computations (36.8% saved)

series56.0ms (0.3%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
5.0ms	c	@	-inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
3.0ms	a	@	0	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
3.0ms	a	@	-inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
3.0ms	a	@	inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`log-prod_binary64`
689×	`prod-diff_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`
235×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	282	57
2	3753	57

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

955×	`times-frac_binary64`
715×	`associate-/l*_binary64`
642×	`fma-def_binary64`
603×	`unswap-sqr_binary64`
526×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1607
1	491	1348
2	1763	1293
3	7292	1293

Stop Event

1×	node limit

Counts

182 → 208

Calls

Call 1

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

localize5.0ms (0%)

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.9b	(.f64 (/.f64 c b) (.f64 a 2))
✓	7.6b	(.f64 (.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
433×	`pow-prod-down_binary64`
311×	`pow2_binary64`
264×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	240	23
2	3156	23

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
24×	`fma-neg_binary64`
19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Stop Event

1×

saturated

Counts

145 → 77

Calls

Call 1

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

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

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))
✓	0.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
✓	12.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 49 to 30 computations (38.8% saved)

series22.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	b	@	0	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
1.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
1.0ms	c	@	-inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
1.0ms	c	@	inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
1.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))

rewrite155.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
385×	`fma-def_binary64`
345×	`pow2_binary64`
242×	`pow1/3_binary64`
239×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	288	39
2	4174	39

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

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

Outputs

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

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

simplify220.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-def_binary64`
652×	`fma-neg_binary64`
272×	`associate-r_binary64`
270×	`div-sub_binary64`
209×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	400
1	44	373
2	89	355
3	120	355
4	174	355
5	246	355
6	464	355
7	1003	355
8	1729	355
9	2387	355
10	2469	355
11	2615	355
12	2832	355
13	3177	355
14	3922	355
15	4491	355
16	5193	355
17	5287	355
18	5399	355
19	5453	355
20	5503	355
21	5503	355

Stop Event

1×

saturated

Counts

250 → 234

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

localize40.0ms (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 b (/.f64 -1/2 a))
✓	9.5b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))
	12.7b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 55 to 35 computations (36.4% saved)

series16.0ms (0.1%)

Counts

2 → 38

Calls

15 calls:

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

rewrite114.0ms (0.6%)

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	32
1	272	28
2	3253	28

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(fma.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))

Outputs

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

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

695×	`unswap-sqr_binary64`
669×	`associate-r_binary64`
617×	`associate-l_binary64`
438×	`times-frac_binary64`
320×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	727
1	280	623
2	978	581
3	5732	558

Stop Event

1×	node limit

Counts

100 → 87

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))

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

eval482.0ms (2.3%)

Compiler: Compiled 15187 to 9573 computations (37% saved)

prune153.0ms (0.7%)

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	655	24	679
Fresh	13	10	23
Picked	0	1	1
Done	1	4	5
Total	669	39	708

Error

0.2b

Counts

708 → 39

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	40.6b	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c)))) (/.f64 1 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))) (*.f64 a -2))
▶	53.1b	(.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 c b) (+.f64 a a)))) 1/3)) (/.f64 -1/2 a))
	40.7b	(pow.f64 (/.f64 a (/.f64 (+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) -2)) -1)
✓	40.6b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	47.7b	(/.f64 1 (/.f64 a (.f64 (/.f64 (.f64 c a) b) -1)))
	52.7b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) (*.f64 a -2))) 2)
	48.0b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	57.2b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
▶	61.6b	(fma.f64 (neg.f64 b) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))
▶	42.8b	(/.f64 (neg.f64 c) b)
	47.7b	(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))))
✓	28.9b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
	47.1b	(.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 c b) (+.f64 a a)))) (/.f64 -1/2 a))
	42.9b	(/.f64 (.f64 c (.f64 a (*.f64 2 (/.f64 -1/2 a)))) b)
	42.3b	(.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
	47.5b	(.f64 (/.f64 (.f64 (*.f64 c a) 2) b) (/.f64 -1/2 a))
	46.4b	(fma.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))
▶	46.0b	(*.f64 (/.f64 (+.f64 a a) (/.f64 b c)) (/.f64 -1/2 a))
	42.5b	(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 -4 (.f64 c a))) (+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) (.f64 2 a))
	59.4b	(/.f64 (*.f64 -1/2 b) a)
	49.0b	(*.f64 (/.f64 c (/.f64 b (+.f64 a a))) (/.f64 -1/2 a))
	49.4b	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
	30.5b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	52.6b	(.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 c b) (+.f64 a a))) 2) (/.f64 -1/2 a))
	32.1b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
✓	46.2b	(/.f64 (neg.f64 b) a)
✓	32.1b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))
	40.6b	(/.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))))))
	46.4b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.7b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	46.3b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
	48.1b	(/.f64 (.f64 (.f64 (.f64 c a) 2) -1/2) (.f64 b a))
▶	29.1b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	45.5b	(/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a)))) (*.f64 a -2))
	43.2b	(/.f64 (.f64 a (.f64 2 (/.f64 -1/2 a))) (/.f64 b c))
	47.8b	(.f64 (/.f64 1 (/.f64 b (.f64 (*.f64 c a) 2))) (/.f64 -1/2 a))
	57.3b	(/.f64 (+.f64 b (neg.f64 b)) (*.f64 a -2))
	47.4b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1) a)

Compiler

Compiled 1224 to 859 computations (29.8% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
✓	1.2b	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
✓	20.5b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite100.0ms (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 (.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))
(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))

Outputs
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simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
609×	`fma-neg_binary64`
571×	`associate-r_binary64`
570×	`times-frac_binary64`
536×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2203
1	440	2105
2	1480	1988
3	7144	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 -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)))))
(.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))))

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

localize10.0ms (0%)

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

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.4b	(/.f64 (+.f64 a a) (/.f64 b c))
✓	7.6b	(*.f64 (/.f64 (+.f64 a a) (/.f64 b c)) (/.f64 -1/2 a))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series9.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log-prod_binary64`
294×	`pow2_binary64`
281×	`pow-unpow_binary64`
258×	`log-div_binary64`
253×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	235	23
2	3840	23

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
24×	`fma-neg_binary64`
19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Stop Event

1×

saturated

Counts

194 → 126

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 b (/.f64 -1/2 a))
✓	55.8b	(fma.f64 (neg.f64 b) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
686×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
673×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	172	10
2	2177	10

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

73×	`fma-def_binary64`
28×	`fma-neg_binary64`
17×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-in_binary64`
15×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	26	24
2	47	24
3	76	24
4	97	24
5	117	24
6	136	24
7	192	24
8	259	24
9	405	24
10	409	24
11	414	24
12	429	24

Stop Event

1×

saturated

Counts

44 → 23

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 b) (*.f64 1/2 b)) a))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 b) (*.f64 1/2 b)) a))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 b) (*.f64 1/2 b)) a))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 b) (*.f64 1/2 b)) a))

Outputs
0
0
0
0
0
0
0
0
0
0
0
0
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
0
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
0
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
0
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
0
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
0
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
0
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
0
(/.f64 (+.f64 (.f64 1/2 b) (.f64 -1/2 b)) a)
0
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 b) (*.f64 1/2 b)) a))
0
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 b) (*.f64 1/2 b)) a))
0
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 b) (*.f64 1/2 b)) a))
0
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 b) (*.f64 1/2 b)) a))
0

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.1b	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))) 1/3))
✓	4.9b	(*.f64 (/.f64 c b) (+.f64 a a))
✓	5.0b	(.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 c b) (+.f64 a a)))) 1/3)) (/.f64 -1/2 a))
✓	12.8b	(log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))

Compiler

Compiled 85 to 31 computations (63.5% saved)

series172.0ms (0.8%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
44.0ms	b	@	0	(log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))
33.0ms	c	@	0	(log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))
19.0ms	a	@	-inf	(log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))
18.0ms	c	@	-inf	(log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))
17.0ms	b	@	-inf	(log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary64`
518×	`prod-diff_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`
209×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	346	48
2	4684	48

Stop Event

1×	node limit

Counts

4 → 280

Calls

Call 1

Inputs
(log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))
(.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 c b) (+.f64 a a)))) 1/3)) (/.f64 -1/2 a))
(*.f64 (/.f64 c b) (+.f64 a a))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))) 1/3))

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

simplify233.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2892×	`fma-def_binary64`
639×	`unsub-neg_binary64`
566×	`fma-neg_binary64`
363×	`sub-neg_binary64`
350×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	1492
1	122	1476
2	240	1476
3	594	1476
4	1935	1476
5	3422	1476
6	4623	1476
7	5647	1476
8	5995	1476
9	6047	1476
10	6055	1476
11	6055	1476
12	6055	1476
13	6055	1476

Stop Event

1×	node limit

Counts

424 → 226

Calls

Call 1

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

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

eval435.0ms (2.1%)

Compiler: Compiled 13893 to 7679 computations (44.7% saved)

prune359.0ms (1.8%)

Pruning

50 alts after pruning (40 fresh and 10 done)

	Pruned	Kept	Total
New	661	18	679
Fresh	7	22	29
Picked	0	1	1
Done	0	9	9
Total	668	50	718

Error

0.2b

Counts

718 → 50

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	40.6b	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c)))) (/.f64 1 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))) (*.f64 a -2))
✓	53.1b	(.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 c b) (+.f64 a a)))) 1/3)) (/.f64 -1/2 a))
	40.7b	(pow.f64 (/.f64 a (/.f64 (+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) -2)) -1)
✓	40.6b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	47.7b	(/.f64 1 (/.f64 a (.f64 (/.f64 (.f64 c a) b) -1)))
▶	46.3b	(*.f64 (/.f64 -1/2 a) (+.f64 b b))
✓	42.8b	(/.f64 (neg.f64 c) b)
✓	61.6b	(fma.f64 (neg.f64 b) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))
	52.7b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) (*.f64 a -2))) 2)
	47.7b	(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))))
✓	28.9b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (*.f64 a -2))
	42.3b	(.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
	47.5b	(.f64 (/.f64 (.f64 (*.f64 c a) 2) b) (/.f64 -1/2 a))
	57.7b	(/.f64 (/.f64 -1/2 a) (*.f64 (/.f64 b c) (+.f64 a a)))
	58.3b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b b)) 2))
	47.8b	(.f64 (/.f64 1 (/.f64 b (.f64 (*.f64 c a) 2))) (/.f64 -1/2 a))
	46.4b	(fma.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))
	61.7b	(fma.f64 (neg.f64 b) (/.f64 -1/2 a) (/.f64 1 (/.f64 a (*.f64 b -1/2))))
	54.1b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b b))) 2)
	57.3b	0
✓	46.0b	(*.f64 (/.f64 (+.f64 a a) (/.f64 b c)) (/.f64 -1/2 a))
	57.7b	(/.f64 -1/2 (.f64 (.f64 (/.f64 b c) (+.f64 a a)) a))
	57.8b	(.f64 (.f64 (.f64 2 (/.f64 a b)) (.f64 c -1/2)) (/.f64 -1/2 a))
	49.0b	(*.f64 (/.f64 c (/.f64 b (+.f64 a a))) (/.f64 -1/2 a))
	42.5b	(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 -4 (.f64 c a))) (+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) (.f64 2 a))
	61.6b	(fma.f64 (neg.f64 b) (/.f64 -1/2 a) (/.f64 (*.f64 b -1/2) a))
	57.9b	(.f64 (.f64 (+.f64 a a) (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 -1/2 a))
	49.4b	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
	59.4b	(.f64 (.f64 (*.f64 2 (/.f64 a b)) (/.f64 (+.f64 a a) (/.f64 1 c))) (/.f64 -1/2 a))
	57.7b	(.f64 (.f64 (+.f64 a a) (*.f64 (/.f64 c b) -1/2)) (/.f64 -1/2 a))
▶	30.5b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
▶	52.6b	(.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 c b) (+.f64 a a))) 2) (/.f64 -1/2 a))
	32.1b	(fma.f64 (/.f64 -1/2 a) b (.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))
	62.3b	(fma.f64 (neg.f64 b) (/.f64 -1/2 a) (cbrt.f64 (pow.f64 (*.f64 b (/.f64 -1/2 a)) 3)))
	57.8b	(.f64 (.f64 (*.f64 2 (/.f64 a b)) (neg.f64 c)) (/.f64 -1/2 a))
▶	57.2b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
✓	46.2b	(/.f64 (neg.f64 b) a)
✓	32.1b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))
	46.4b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.7b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
▶	48.1b	(/.f64 (.f64 (.f64 (.f64 c a) 2) -1/2) (.f64 b a))
✓	29.1b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	45.5b	(/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a)))) (*.f64 a -2))
	43.2b	(/.f64 (.f64 a (.f64 2 (/.f64 -1/2 a))) (/.f64 b c))
	40.6b	(/.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))))))
	47.4b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1) a)
	57.7b	(/.f64 (+.f64 a a) (.f64 (.f64 a -2) (neg.f64 (/.f64 b c))))
	42.9b	(/.f64 (.f64 c (.f64 a (*.f64 2 (/.f64 -1/2 a)))) b)
	45.5b	(/.f64 (+.f64 a a) (/.f64 (*.f64 a (/.f64 b c)) -1/2))

Compiler

Compiled 1478 to 1037 computations (29.8% saved)

localize69.0ms (0.3%)

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))
✓	2.6b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	12.7b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 68 to 44 computations (35.3% saved)

series18.0ms (0.1%)

Counts

2 → 28

Calls

18 calls:

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

rewrite94.0ms (0.5%)

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	39
1	307	39
2	4026	39

Stop Event

1×	node limit

Counts

2 → 113

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 (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 (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))))))

simplify81.0ms (0.4%)

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	1099
1	364	919
2	1223	851
3	6591	820
4	7913	816

Stop Event

1×	node limit

Counts

141 → 158

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

localize37.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`pow1_binary64`
743×	`add-log-exp_binary64`
741×	`log1p-expm1-u_binary64`
741×	`expm1-log1p-u_binary64`
728×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	161	7
2	2351	7

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify14.0ms (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	144
1	10	144
2	17	144
3	23	144
4	29	144
5	37	144
6	45	144
7	55	144
8	63	144
9	77	144

Stop Event

1×

saturated

Counts

69 → 47

Calls

Call 1

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

Outputs
(*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.2b	(/.f64 (.f64 (.f64 (.f64 c a) 2) -1/2) (.f64 b a))

Compiler

Compiled 37 to 18 computations (51.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite139.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
286×	`pow-unpow_binary64`
277×	`pow2_binary64`
198×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	237	10
2	3352	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify17.0ms (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

37 → 3

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)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)
✓	0.9b	(+.f64 b (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))
✓	3.2b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
	4.9b	(.f64 (/.f64 c b) (.f64 a 2))

Compiler

Compiled 59 to 30 computations (49.2% saved)

series29.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
21.0ms	c	@	-inf	(-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)
0.0ms	b	@	0	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
0.0ms	b	@	inf	(-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)
0.0ms	b	@	0	(-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)
0.0ms	b	@	inf	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))

rewrite143.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
544×	`fma-def_binary64`
320×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	301	47
2	4372	47

Stop Event

1×	node limit

Counts

3 → 292

Calls

Call 1

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

Outputs

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

simplify238.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1456×	`fma-def_binary64`
771×	`times-frac_binary64`
682×	`distribute-rgt-in_binary64`
603×	`div-sub_binary64`
583×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	989
1	27	989
2	52	989
3	89	989
4	160	989
5	325	989
6	692	989
7	1578	989
8	3084	989
9	3512	989
10	5124	989
11	5587	989
12	6031	989
13	6055	989
14	6609	989
15	6657	989

Stop Event

1×	node limit

Counts

400 → 300

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 2)
	4.9b	(*.f64 (/.f64 c b) (+.f64 a a))
✓	5.0b	(.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 c b) (+.f64 a a))) 2) (/.f64 -1/2 a))
✓	12.1b	(sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a)))

Compiler

Compiled 56 to 18 computations (67.9% saved)

series44.0ms (0.2%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a)))
5.0ms	a	@	inf	(sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a)))
3.0ms	b	@	inf	(pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 2)
2.0ms	c	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 2)
2.0ms	c	@	0	(pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 2)

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`log-prod_binary64`
507×	`prod-diff_binary64`
324×	`pow2_binary64`
229×	`pow1/3_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	293	38
2	3788	38

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Outputs

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

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

simplify124.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

817×	`associate-/l/_binary64`
464×	`fma-neg_binary64`
459×	`associate-*r/_binary64`
386×	`associate-r_binary64`
374×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	540
1	44	252
2	108	216
3	248	216
4	717	216
5	2669	216
6	3179	216
7	3979	216
8	4447	216
9	4966	216
10	6772	216

Stop Event

1×	node limit

Counts

204 → 172

Calls

Call 1

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

Outputs
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) c) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -2) 2)) b))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 b c)))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) b)

eval362.0ms (1.8%)

Compiler: Compiled 17993 to 9133 computations (49.2% saved)

prune202.0ms (1%)

Pruning

49 alts after pruning (37 fresh and 12 done)

	Pruned	Kept	Total
New	843	5	848
Fresh	3	32	35
Picked	1	0	1
Done	2	12	14
Total	849	49	898

Error

0.1b

Counts

898 → 49

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	40.6b	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c)))) (/.f64 1 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b)))) (*.f64 a -2))
✓	53.1b	(.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (/.f64 c b) (+.f64 a a)))) 1/3)) (/.f64 -1/2 a))
	40.7b	(pow.f64 (/.f64 a (/.f64 (+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) -2)) -1)
✓	40.6b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	47.7b	(/.f64 1 (/.f64 a (.f64 (/.f64 (.f64 c a) b) -1)))
✓	46.3b	(*.f64 (/.f64 -1/2 a) (+.f64 b b))
✓	42.8b	(/.f64 (neg.f64 c) b)
	45.0b	(+.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (neg.f64 a)))
	52.7b	(pow.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) (*.f64 a -2))) 2)
	42.3b	(.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a))
	47.5b	(.f64 (/.f64 (.f64 (*.f64 c a) 2) b) (/.f64 -1/2 a))
	57.7b	(/.f64 (/.f64 -1/2 a) (*.f64 (/.f64 b c) (+.f64 a a)))
	46.0b	(+.f64 (.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	58.3b	(sqrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b b)) 2))
	47.8b	(.f64 (/.f64 1 (/.f64 b (.f64 (*.f64 c a) 2))) (/.f64 -1/2 a))
	61.7b	(fma.f64 (neg.f64 b) (/.f64 -1/2 a) (/.f64 1 (/.f64 a (*.f64 b -1/2))))
	54.1b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (+.f64 b b))) 2)
	57.3b	0
✓	46.0b	(*.f64 (/.f64 (+.f64 a a) (/.f64 b c)) (/.f64 -1/2 a))
	57.7b	(/.f64 -1/2 (.f64 (.f64 (/.f64 b c) (+.f64 a a)) a))
	57.8b	(.f64 (.f64 (.f64 2 (/.f64 a b)) (.f64 c -1/2)) (/.f64 -1/2 a))
	49.0b	(*.f64 (/.f64 c (/.f64 b (+.f64 a a))) (/.f64 -1/2 a))
	42.5b	(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 -4 (.f64 c a))) (+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b)) (.f64 2 a))
	61.6b	(fma.f64 (neg.f64 b) (/.f64 -1/2 a) (/.f64 (*.f64 b -1/2) a))
	57.9b	(.f64 (.f64 (+.f64 a a) (*.f64 (/.f64 c b) (+.f64 a a))) (/.f64 -1/2 a))
	49.4b	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
	59.4b	(.f64 (.f64 (*.f64 2 (/.f64 a b)) (/.f64 (+.f64 a a) (/.f64 1 c))) (/.f64 -1/2 a))
	57.7b	(.f64 (.f64 (+.f64 a a) (*.f64 (/.f64 c b) -1/2)) (/.f64 -1/2 a))
✓	30.5b	(+.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a)) (.f64 b (/.f64 -1/2 a)))
	62.3b	(fma.f64 (neg.f64 b) (/.f64 -1/2 a) (cbrt.f64 (pow.f64 (*.f64 b (/.f64 -1/2 a)) 3)))
	57.8b	(.f64 (.f64 (*.f64 2 (/.f64 a b)) (neg.f64 c)) (/.f64 -1/2 a))
	52.6b	(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 a a) (/.f64 b c))) 2) (/.f64 -1/2 a))
✓	57.2b	(.f64 (+.f64 b (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
✓	46.2b	(/.f64 (neg.f64 b) a)
✓	32.1b	(fma.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))
	46.4b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.7b	(.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
✓	48.1b	(/.f64 (.f64 (.f64 (.f64 c a) 2) -1/2) (.f64 b a))
✓	29.1b	(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	47.2b	(.f64 (fma.f64 (.f64 a c) (pow.f64 b -1) (*.f64 (/.f64 c b) a)) (/.f64 -1/2 a))
	45.5b	(/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a)))) (*.f64 a -2))
	43.2b	(/.f64 (.f64 a (.f64 2 (/.f64 -1/2 a))) (/.f64 b c))
	57.7b	(/.f64 (+.f64 a a) (.f64 (.f64 a -2) (neg.f64 (/.f64 b c))))
	59.8b	(+.f64 (.f64 (/.f64 b a) 1/2) (.f64 b (/.f64 -1/2 a)))
	40.6b	(/.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))))))
	47.4b	(/.f64 (.f64 (/.f64 (.f64 c a) b) -1) a)
	42.9b	(/.f64 (.f64 c (.f64 a (*.f64 2 (/.f64 -1/2 a)))) b)
	45.5b	(/.f64 (+.f64 a a) (/.f64 (*.f64 a (/.f64 b c)) -1/2))

Compiler

Compiled 790 to 552 computations (30.1% saved)

regimes1.3s (6.4%)

Counts

77 → 3

Calls

Call 1

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

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

Calls

5 calls:

633.0ms	a
237.0ms	c
164.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
127.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
126.0ms	b

Results

Error	Segments	Branch
20.8b	7	`a`
9.5b	3	`b`
21.0b	5	`c`
11.4b	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`
11.4b	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 1125 to 629 computations (44.1% saved)

bsearch616.0ms (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
121.0ms	6.4030083902348155e+125	2.724702444575054e+137
494.0ms	-1.2972397158498261	-4.985903935209096e-10

Compiler

Compiled 607 to 428 computations (29.5% saved)

regimes409.0ms (2%)

Counts

44 → 3

Calls

Call 1

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

Calls

3 calls:

180.0ms	a
126.0ms	c
89.0ms	b

Results

Error	Segments	Branch
25.5b	6	`a`
9.6b	3	`b`
26.4b	5	`c`

Compiler

Compiled 492 to 257 computations (47.8% saved)

bsearch589.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
205.0ms	6.4030083902348155e+125	2.724702444575054e+137
384.0ms	-1.2972397158498261	-4.985903935209096e-10

Compiler

Compiled 588 to 409 computations (30.4% saved)

regimes931.0ms (4.5%)

Counts

43 → 3

Calls

Call 1

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

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

Calls

3 calls:

406.0ms	c
383.0ms	a
112.0ms	b

Results

Error	Segments	Branch
33.2b	8	`a`
13.2b	3	`b`
32.9b	10	`c`

Compiler

Compiled 476 to 247 computations (48.1% saved)

bsearch468.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
115.0ms	2.3438305949581566e-71	1.3178823065920745e-67
353.0ms	-1.2972397158498261	-4.985903935209096e-10

Compiler

Compiled 475 to 350 computations (26.3% saved)

regimes485.0ms (2.4%)

Counts

41 → 3

Calls

Call 1

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

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

Calls

3 calls:

206.0ms	c
199.0ms	a
63.0ms	b

Results

Error	Segments	Branch
33.2b	8	`a`
13.3b	3	`b`
32.9b	10	`c`

Compiler

Compiled 448 to 231 computations (48.4% saved)

bsearch573.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
111.0ms	2.3438305949581566e-71	1.3178823065920745e-67
462.0ms	-1.2972397158498261	-4.985903935209096e-10

Compiler

Compiled 458 to 333 computations (27.3% saved)

regimes653.0ms (3.2%)

Counts

39 → 3

Calls

Call 1

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

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

Calls

3 calls:

327.0ms	a
206.0ms	c
69.0ms	b

Results

Error	Segments	Branch
31.9b	11	`a`
13.5b	3	`b`
34.5b	8	`c`

Compiler

Compiled 423 to 215 computations (49.2% saved)

bsearch600.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
93.0ms	2.331322170799909e-86	1.0650555140524747e-82
506.0ms	-1.2972397158498261	-4.985903935209096e-10

Compiler

Compiled 458 to 333 computations (27.3% saved)

regimes260.0ms (1.3%)

Counts

38 → 2

Calls

Call 1

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

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

Calls

3 calls:

128.0ms	c
81.0ms	a
39.0ms	b

Results

Error	Segments	Branch
39.5b	4	`a`
26.5b	2	`b`
37.8b	5	`c`

Compiler

Compiled 411 to 208 computations (49.4% saved)

bsearch74.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
73.0ms	-5.635824525498539e-299	-5.7880512095436e-310

Compiler

Compiled 186 to 139 computations (25.3% saved)

regimes12.0ms (0.1%)

Accuracy

Total -14.9b remaining (-34.8%)

Threshold costs -14.9b (-34.8%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 c) b)

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

Calls

3 calls:

4.0ms	c
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
42.8b	1	`a`
42.8b	1	`b`
42.8b	1	`c`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`*-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	67	271
1	102	271
2	130	271
3	163	271
4	181	271
5	190	271
6	193	271

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 649999999999999988740726376726704973885725614022037437946417664479559161300921011807400672779566570357678512125175344494804992) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 649999999999999988740726376726704973885725614022037437946417664479559161300921011807400672779566570357678512125175344494804992) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 93248106826835/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 93248106826835/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 6719234226533413/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -161993723768713/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 c) b)
0

Outputs
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 649999999999999988740726376726704973885725614022037437946417664479559161300921011807400672779566570357678512125175344494804992) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 649999999999999988740726376726704973885725614022037437946417664479559161300921011807400672779566570357678512125175344494804992) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) -4)))) (.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 649999999999999988740726376726704973885725614022037437946417664479559161300921011807400672779566570357678512125175344494804992) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 93248106826835/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 93248106826835/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 a 2)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 93248106826835/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 93248106826835/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 6719234226533413/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -4835703278458517/9671406556917033397649408) (/.f64 (neg.f64 c) b) (if (<=.f64 b 6719234226533413/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (.f64 (*.f64 c a) -4))) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -161993723768713/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 c) b)
0

Compiler

Compiled 206 to 135 computations (34.5% saved)

soundness867.0ms (4.2%)

Algorithm

4×	egg-herbie

Rules

1217×	`fma-neg_binary64`
1217×	`fma-neg_binary64`
955×	`times-frac_binary64`
846×	`fma-def_binary64`
846×	`fma-def_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
0	164	1607
1	491	1348
2	1763	1293
3	7292	1293
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
0	146	2203
1	440	2105
2	1480	1988
3	7144	1952

Stop Event

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

Compiler

Compiled 640 to 456 computations (28.8% saved)

end84.0ms (0.4%)

Compiler: Compiled 185 to 86 computations (53.5% saved)

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Iter	Nodes	Cost
0	14	24
1	26	24
2	47	24
3	76	24
4	97	24
5	117	24
6	136	24
7	192	24
8	259	24
9	405	24
10	409	24
11	414	24
12	429	24

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Iter	Nodes	Cost
0	14	24
1	26	24
2	47	24
3	76	24
4	97	24
5	117	24
6	136	24
7	192	24
8	259	24
9	405	24
10	409	24
11	414	24
12	429	24

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Iter	Nodes	Cost
0	11	576
1	21	576
2	41	576
3	74	576
4	110	576
5	129	576
6	137	576
7	158	576
8	244	576
9	344	576

Iter	Nodes	Cost
0	14	24
1	26	24
2	47	24
3	76	24
4	97	24
5	117	24
6	136	24
7	192	24
8	259	24
9	405	24
10	409	24
11	414	24
12	429	24