Details

analyze199.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample1.9s (17.6%)

Results

1.2s	6743×	body	256	valid
443.0ms	1513×	body	512	valid
185.0ms	1185×	body	256	invalid

preprocess93.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

801×	`fma-def_binary64`
678×	`div-sub_binary64`
478×	`associate-/r*_binary64`
440×	`distribute-frac-neg_binary64`
353×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	99	88
2	220	88
3	446	88
4	756	88
5	1249	88
6	2223	88
7	4448	88
8	7165	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 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a))

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-def_binary64`
771×	`fma-neg_binary64`
681×	`div-sub_binary64`
619×	`times-frac_binary64`
478×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	72	22
3	163	22
4	266	22
5	435	22
6	747	22
7	1334	22
8	2704	22
9	4100	22
10	5724	22
11	6429	22
12	7085	22
13	7173	22
14	7735	22
15	7877	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 (.f64 4 a) c)))) (.f64 2 a))

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

eval1.0ms (0%)

Compiler: Compiled 35 to 22 computations (37.1% 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

52.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
▶	52.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	0.1b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	25.6b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

Compiler

Compiled 60 to 30 computations (50% saved)

series49.0ms (0.5%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
20.0ms	a	@	-inf	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
2.0ms	a	@	0	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
2.0ms	a	@	inf	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
2.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
1.0ms	c	@	0	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

rewrite106.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`prod-diff_binary64`
636×	`log-prod_binary64`
366×	`fma-def_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	280	62
2	3646	59

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

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

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
643×	`associate-/l*_binary64`
579×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2119	2202

Stop Event

1×	node limit

Counts

315 → 299

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
✓	25.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

Compiler

Compiled 73 to 38 computations (47.9% saved)

series21.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	a	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	b	@	0	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
0.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

rewrite126.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log-prod_binary64`
734×	`fma-def_binary64`
373×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	342	62
2	4923	59

Stop Event

1×	node limit

Counts

4 → 333

Calls

Call 1

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

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
642×	`associate-/l*_binary64`
581×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202

Stop Event

1×	node limit

Counts

429 → 413

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

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

eval343.0ms (3.2%)

Compiler: Compiled 19647 to 11399 computations (42% saved)

prune272.0ms (2.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	692	20	712
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	693	21	714

Error

0.2b

Counts

714 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	2.0b	(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))
▶	55.8b	(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
	2.9b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	52.6b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
	55.8b	(/.f64 (+.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (*.f64 2 a))
▶	6.1b	(/.f64 (neg.f64 c) b)
✓	52.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	3.1b	(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
	52.0b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	6.3b	(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
▶	52.6b	(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/2) b) (/.f64 1/2 a))
	1.8b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	1.5b	(/.f64 (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 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (.f64 2 a))
	52.0b	(.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (/.f64 1/2 a))
	52.7b	(.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 a c) -4) (.f64 (.f64 a c) -4)) (pow.f64 b 4)) (-.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))) b) (/.f64 1/2 a))
	3.1b	(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
▶	1.2b	(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	6.4b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	2.0b	(.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 (/.f64 c b) a)) (.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) (/.f64 1/2 a))
▶	52.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
	6.4b	(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))

Compiler

Compiled 1122 to 762 computations (32.1% saved)

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
✓	0.3b	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
✓	0.3b	(/.f64 (*.f64 c c) (pow.f64 b 3))
✓	0.4b	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))

Compiler

Compiled 187 to 114 computations (39% saved)

series23.0ms (0.2%)

Counts

4 → 84

Calls

27 calls:

Time	Variable		Expression
3.0ms	b	@	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))
2.0ms	c	@	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))
1.0ms	a	@	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
1.0ms	c	@	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
1.0ms	b	@	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))

rewrite115.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

340×	`pow1/3_binary64`
331×	`expm1-udef_binary64`
331×	`log1p-udef_binary64`
303×	`pow3_binary64`
300×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	443	49
2	5314	49

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (pow.f64 b 5/2)) (/.f64 (pow.f64 c 3) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5/2)) (/.f64 -2 (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 b 5/2)) (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 c (cbrt.f64 -2)) 2) (pow.f64 b 5/2)) (/.f64 (.f64 c (cbrt.f64 -2)) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 c (cbrt.f64 -2)) (cbrt.f64 (pow.f64 b 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (pow.f64 b 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 c c) (pow.f64 b -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (/.f64 1 (/.f64 (pow.f64 b 3) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 c (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c c) (pow.f64 b -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 c c) (pow.f64 b -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (.f64 c c) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) 2) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 b 3/2)) (/.f64 c (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c (neg.f64 c)) (/.f64 1 (neg.f64 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -3) (.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c b) (/.f64 c (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (.f64 b b)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b) (/.f64 (.f64 c c) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) b) (/.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c 1) (/.f64 c (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 b 3)) c)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) 1) (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b b)) (/.f64 (.f64 c c) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 b b)) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 b 3/2)) (/.f64 (.f64 c c) (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 b 3/2)) (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 c c) (pow.f64 b -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 c c) (pow.f64 b -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (pow.f64 b 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (.f64 c c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 6) (pow.f64 (pow.f64 b 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 b 3) (.f64 c c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 c c) (neg.f64 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) c) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 c c) (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 c c) (pow.f64 b -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 6) (pow.f64 (pow.f64 b 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 c c) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 c c) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 c) (.f64 -3 (log.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 c) (.f64 -3 (log.f64 b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 -2 (pow.f64 c 3)) (.f64 (pow.f64 b -5) (.f64 a a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 5) -2) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 b 5) (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a)))) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a))) 1) (pow.f64 b 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a))) (cbrt.f64 (pow.f64 b 10))) (cbrt.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5/2)) (pow.f64 b 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (.f64 a a)) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 c 3) 2) (.f64 a a)) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) -2) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (.f64 (pow.f64 c 3) 2)) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 -2 (pow.f64 c 3)) (.f64 (pow.f64 b -5) (.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 -2 (pow.f64 c 3)) (.f64 (pow.f64 b -5) (.f64 a a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 -2 (pow.f64 c 3)) (.f64 (pow.f64 b -5) (.f64 a a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (/.f64 (.f64 (sqrt.f64 -2) (pow.f64 c 3/2)) (pow.f64 b 5/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a 6) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 5) (.f64 -2 (.f64 (pow.f64 c 3) (.f64 a a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 a 4) (/.f64 (.f64 4 (pow.f64 c 6)) (pow.f64 b 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 -2 (pow.f64 c 3)) (.f64 (pow.f64 b -5) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 -2 (pow.f64 c 3)) (.f64 (pow.f64 b -5) (.f64 a a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 6) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 -2 (pow.f64 c 3)) (.f64 (pow.f64 b -5) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 -2 (pow.f64 c 3)) (.f64 (pow.f64 b -5) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 a) (log.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 a) (log.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 c a) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c a) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 c a) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 c a) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c a) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 a 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (pow.f64 c 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 c a) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 c a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 c a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 c a) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 a 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (pow.f64 c 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 c a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 c a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (log.f64 (.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 c a)) 4))))))

simplify167.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

821×	`associate-/l*_binary64`
646×	`sqr-pow_binary64`
518×	`associate-l_binary64`
495×	`associate-r_binary64`
451×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	1236
1	52	1236
2	166	1236
3	837	1236
4	5646	1236
5	5723	1236
6	5886	1236
7	6131	1236
8	6374	1236
9	6663	1236
10	7021	1236
11	7475	1236

Stop Event

1×	node limit

Counts

218 → 139

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))

Outputs
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(*.f64 -2 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 3) (/.f64 -2 (pow.f64 b 5)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
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(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
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(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))
(.f64 -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(.f64 -2 (.f64 a (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 b 5))))

localize5.0ms (0%)

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
✓	0.3b	(/.f64 (*.f64 c a) b)
✓	25.4b	(-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b)

Compiler

Compiled 61 to 25 computations (59% saved)

series17.0ms (0.2%)

Counts

3 → 72

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b)
1.0ms	b	@	inf	(-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b)
1.0ms	b	@	0	(-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b)
1.0ms	c	@	0	(-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b)
1.0ms	c	@	inf	(-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b)

rewrite126.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`log-prod_binary64`
545×	`fma-def_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	300	41
2	4473	41

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) (-.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b))) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b)) (pow.f64 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(*.f64 (/.f64 c b) a) b)) (pow.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) 2) (*.f64 b b))) (neg.f64 (+.f64 b (fma.f64 -2 (*.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b) 3)) (fma.f64 b b (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b) (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b)) (*.f64 b (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) 3) (pow.f64 (neg.f64 b) 3)) (+.f64 (pow.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) 2) (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (*.f64 (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b) (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) 2) (*.f64 (neg.f64 b) (neg.f64 b))) (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (-.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (/.f64 (exp.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b)) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (/.f64 (exp.f64 (/.f64 (*.f64 -2 (*.f64 c a)) b)) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b))) (exp.f64 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simplify48.0ms (0.5%)

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

304 → 236

Calls

Call 1

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	0.0b	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/2)
✓	0.2b	(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/2) b) (/.f64 1/2 a))
✓	25.6b	(-.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/2) b)

Compiler

Compiled 65 to 33 computations (49.2% saved)

series18.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/2) b) (/.f64 1/2 a))
1.0ms	b	@	0	(-.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/2) b)
1.0ms	a	@	-inf	(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/2) b) (/.f64 1/2 a))
1.0ms	b	@	inf	(-.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/2) b)
0.0ms	a	@	-inf	(-.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/2) b)

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`prod-diff_binary64`
681×	`log-prod_binary64`
318×	`fma-def_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	290	59
2	3710	59

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

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

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

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
643×	`associate-/l*_binary64`
580×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202

Stop Event

1×	node limit

Counts

297 → 282

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

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c))))))
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
✓	0.1b	(sqrt.f64 (*.f64 a c))
✓	25.6b	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c)))))))

Compiler

Compiled 122 to 53 computations (56.6% saved)

series124.0ms (1.2%)

Counts

4 → 38

Calls

33 calls:

Time	Variable		Point	Expression
48.0ms	c	@	-inf	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c)))))))
9.0ms	a	@	0	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c)))))))
6.0ms	c	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (*.f64 a c)))))))
5.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
5.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))

rewrite125.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`fma-def_binary64`
323×	`fma-neg_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`
249×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	106
1	360	63
2	5390	63

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-l_binary64`
568×	`associate-/l*_binary64`
434×	`associate-/r*_binary64`
334×	`associate-+l+_binary64`
275×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1765
1	567	1043
2	2580	538

Stop Event

1×	node limit

Counts

193 → 203

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 1) b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4))) -1) b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4))) -1) b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (pow.f64 b 2)) (sqrt.f64 -4)))) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 1) b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)))) 2)) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (fma.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4))) -1) b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))))
(fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4)))) 2))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4))) -1) b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (pow.f64 b 2)) (sqrt.f64 -4)))) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 1) b) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))))) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)))) 2)) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (fma.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4))) -1) b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))))
(fma.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4)))) 2))) (/.f64 (sqrt.f64 -4) (.f64 b b))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4))) -1) b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b)))
(.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0))
0
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a))))) 2)) b)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) b)))
(fma.f64 1/2 (/.f64 (fma.f64 (*.f64 c a) -4 0) b) 0)
(/.f64 (.f64 (.f64 c a) -2) b)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) b))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) b)))
(fma.f64 1/2 (/.f64 (fma.f64 (*.f64 c a) -4 0) b) 0)
(/.f64 (.f64 (.f64 c a) -2) b)
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (pow.f64 b 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) 2) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)))) (pow.f64 (.f64 1/2 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) 2)) (pow.f64 b 3))) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) b)))))
(fma.f64 -1/4 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2))) (.f64 b b)) (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) 2)) (pow.f64 (.f64 1/2 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2))) 2)) (pow.f64 b 3)) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0)) 2)) b)))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 c a) -4 0) b) (/.f64 0 b)) (fma.f64 -1/2 (/.f64 (fma.f64 0 (fma.f64 (.f64 c a) -4 0) (pow.f64 (.f64 1/2 (fma.f64 (.f64 c a) -4 0)) 2)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (fma.f64 (.f64 c a) -4 0) b) 0)))
(fma.f64 -1/2 (/.f64 (pow.f64 (.f64 (.f64 c a) -2) 2) (pow.f64 b 3)) (/.f64 (.f64 (.f64 c a) -2) b))
(.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0))
0
(+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b)) (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a))))))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0))
0
(+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b)) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 -1))) 2)) b))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) b)))
(fma.f64 1/2 (/.f64 (fma.f64 (*.f64 c a) -4 0) b) 0)
(/.f64 (.f64 (.f64 c a) -2) b)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b)) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2)) b)) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2)))))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) b)))
(fma.f64 1/2 (/.f64 (fma.f64 (*.f64 c a) -4 0) b) 0)
(/.f64 (.f64 (.f64 c a) -2) b)
(.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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 -4)))) (/.f64 1 a)))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (.f64 b (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))))) (/.f64 1 a)))))
(.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (.f64 b (fma.f64 1/2 (.f64 (/.f64 0 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (/.f64 -1 a)))))
(*.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) (/.f64 1 a)))) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (pow.f64 b 2)) (sqrt.f64 -4))))))
(fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))))) (/.f64 1 a))) (.f64 1/4 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)))) 2)) (*.f64 b b))) (sqrt.f64 -4)))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (.f64 b (fma.f64 1/2 (.f64 (/.f64 0 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (/.f64 -1 a)))) (.f64 1/4 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 b b)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 0 (sqrt.f64 -4)))) 2))) (sqrt.f64 -4))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) 1/4)))
(+.f64 (.f64 1/2 (.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 5)))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))))) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) (/.f64 1 a)))) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (pow.f64 b 2)) (sqrt.f64 -4)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 1/2 (.f64 b (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))))) (/.f64 1 a))) (.f64 1/4 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)))) 2)) (*.f64 b b))) (sqrt.f64 -4)))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (.f64 b (fma.f64 1/2 (.f64 (/.f64 0 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (/.f64 -1 a)))) (.f64 1/4 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 b b)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 0 (sqrt.f64 -4)))) 2))) (sqrt.f64 -4))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) 1/4)))
(.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))) a))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0))
0
(+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) (.f64 a b))) (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) a)))
(.f64 1/4 (+.f64 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) (.f64 a b)) (/.f64 (.f64 (sqrt.f64 (*.f64 c a)) 0) a)))
(fma.f64 1/4 (/.f64 (fma.f64 (.f64 c a) -4 0) (.f64 a b)) (/.f64 0 a))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) (.f64 a b))) (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) a))))
(.f64 1/4 (+.f64 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) (.f64 a b)) (/.f64 (.f64 (sqrt.f64 (*.f64 c a)) 0) a)))
(fma.f64 1/4 (/.f64 (fma.f64 (.f64 c a) -4 0) (.f64 a b)) (/.f64 0 a))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) 2) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)))) (pow.f64 (.f64 1/2 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) 2)) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) (.f64 a b))) (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))) a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) a) (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) (.f64 b b))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/4 (.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) 2)) (pow.f64 (.f64 1/2 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2))) 2)) (.f64 a (pow.f64 b 3))) (.f64 1/4 (+.f64 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) (.f64 a b)) (/.f64 (.f64 (sqrt.f64 (*.f64 c a)) 0) a)))))
(+.f64 (.f64 (/.f64 0 a) (/.f64 (fma.f64 (.f64 c a) -4 0) (.f64 b b))) (fma.f64 -1/4 (/.f64 (fma.f64 0 (fma.f64 (.f64 c a) -4 0) (pow.f64 (.f64 1/2 (fma.f64 (.f64 c a) -4 0)) 2)) (.f64 a (pow.f64 b 3))) (fma.f64 1/4 (/.f64 (fma.f64 (.f64 c a) -4 0) (*.f64 a b)) (/.f64 0 a))))
(fma.f64 1/4 (.f64 (/.f64 c 1) (/.f64 -4 b)) (/.f64 (.f64 (/.f64 -1/4 a) (pow.f64 (.f64 (.f64 c a) -2) 2)) (pow.f64 b 3)))
(.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b) a))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0))
0
(+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) a)) (.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b) a)))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0))
0
(+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2)) (.f64 a b))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) a)) (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b) a))))
(.f64 1/4 (+.f64 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) (.f64 a b)) (/.f64 (.f64 (sqrt.f64 (*.f64 c a)) 0) a)))
(fma.f64 1/4 (/.f64 (fma.f64 (.f64 c a) -4 0) (.f64 a b)) (/.f64 0 a))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 a (pow.f64 b 2))))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2)) (.f64 a b))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) a)) (.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) b) a)))))
(.f64 1/4 (+.f64 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0)) 2)) (.f64 a b)) (/.f64 (.f64 (sqrt.f64 (*.f64 c a)) 0) a)))
(fma.f64 1/4 (/.f64 (fma.f64 (.f64 c a) -4 0) (.f64 a b)) (/.f64 0 a))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (sqrt.f64 -4)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) (.f64 (sqrt.f64 (.f64 c a)) 0)))) (.f64 (sqrt.f64 (.f64 c a)) (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 0 (/.f64 (sqrt.f64 -4) b)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) 0)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (pow.f64 b 2)) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (sqrt.f64 -4)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)))) 2)) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) (.f64 (sqrt.f64 (.f64 c a)) 0)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4)))) 2)) (sqrt.f64 -4)) (.f64 b b)) (/.f64 0 (/.f64 (sqrt.f64 -4) b)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) 0))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (pow.f64 b 2)) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (sqrt.f64 -4)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -4)))) 2)) (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))))) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (.f64 c a)) 0) (sqrt.f64 -4)))) 2)) (/.f64 (sqrt.f64 -4) (.f64 b b)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) (.f64 (sqrt.f64 (.f64 c a)) 0)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 0 (sqrt.f64 -4)))) 2)) (sqrt.f64 -4)) (.f64 b b)) (/.f64 0 (/.f64 (sqrt.f64 -4) b)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) 0))
b
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a))))) b)
b
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a))))) 2)) b)) b))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0) (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0)) 2)) b) b))
(fma.f64 1/2 (+.f64 0 (/.f64 (fma.f64 (*.f64 c a) -4 0) b)) b)
(+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) b)) b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0) (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0)) 2)) b) b))
(fma.f64 1/2 (+.f64 0 (/.f64 (fma.f64 (*.f64 c a) -4 0) b)) b)
(+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) b))
b
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) b)))
b
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2)) b)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0) (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0)) 2)) b) b))
(fma.f64 1/2 (+.f64 0 (/.f64 (fma.f64 (*.f64 c a) -4 0) b)) b)
(+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))
(+.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2)) b)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 4 (.f64 c a)) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2)))) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) b)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) 0) (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 c a) -4) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) 0)) 2)) b) b))
(fma.f64 1/2 (+.f64 0 (/.f64 (fma.f64 (*.f64 c a) -4 0) b)) b)
(+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))
b
b

eval619.0ms (5.8%)

Compiler: Compiled 26259 to 15093 computations (42.5% saved)

prune168.0ms (1.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	870	15	885
Fresh	4	11	15
Picked	1	0	1
Done	4	1	5
Total	879	27	906

Error

0.1b

Counts

906 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	52.6b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
	6.5b	(.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (/.f64 1/2 a))
▶	6.3b	(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
	2.0b	(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))
▶	52.6b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
	55.8b	(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
	52.4b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
▶	55.8b	(.f64 (+.f64 (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b) b) (/.f64 1/2 a))
	2.9b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	6.5b	(.f64 (fma.f64 (.f64 c a) (*.f64 (/.f64 1 b) -2) (-.f64 b b)) (/.f64 1/2 a))
	6.5b	(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
	55.8b	(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
✓	6.1b	(/.f64 (neg.f64 c) b)
	3.1b	(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
	55.9b	(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
	6.3b	(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
	52.0b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
▶	1.2b	(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	1.5b	(/.f64 (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 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (.f64 2 a))
▶	1.8b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	52.0b	(.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (/.f64 1/2 a))
	51.8b	(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
	3.1b	(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
	6.4b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	2.0b	(.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 (/.f64 c b) a)) (.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) (/.f64 1/2 a))
	6.4b	(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
	3.1b	(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) 2) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)))) (pow.f64 (.f64 1/2 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) 2)) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) (.f64 a b))) (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))) a)))))

Compiler

Compiled 1671 to 1087 computations (34.9% saved)

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
	0.3b	(/.f64 (*.f64 c c) (pow.f64 b 3))
	0.4b	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))
✓	0.9b	(pow.f64 (*.f64 c a) 4)

Compiler

Compiled 176 to 99 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	(pow.f64 (*.f64 c a) 4)
1.0ms	a	@	-inf	(pow.f64 (*.f64 c a) 4)
1.0ms	c	@	0	(pow.f64 (*.f64 c a) 4)
1.0ms	c	@	inf	(pow.f64 (*.f64 c a) 4)
1.0ms	a	@	inf	(pow.f64 (*.f64 c a) 4)

rewrite41.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`pow1_binary64`
524×	`add-sqr-sqrt_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1434	7

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(pow.f64 (*.f64 c a) 4)

Outputs

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

simplify176.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1109×	`sqr-pow_binary64`
732×	`associate-l_binary64`
552×	`cube-prod_binary64`
537×	`associate-r_binary64`
510×	`pow-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	14	240
2	35	240
3	100	240
4	434	240
5	2442	168
6	2506	168
7	2661	168
8	2839	168
9	3032	168
10	3279	168
11	3869	168
12	4243	168
13	4737	168
14	5313	168
15	6081	168
16	6449	168
17	6769	168
18	7025	168
19	7239	168
20	7361	168

Stop Event

1×	node limit

Counts

40 → 17

Calls

Call 1

Inputs
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))

Outputs
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

957×	`pow1_binary64`
887×	`add-log-exp_binary64`
887×	`log1p-expm1-u_binary64`
887×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	187	10
2	2797	10

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.3%)

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

94 → 60

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)

localize169.0ms (1.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b) b) (/.f64 1/2 a))
✓	0.3b	(/.f64 (.f64 -2 (.f64 c a)) b)
✓	25.4b	(+.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) b)

Compiler

Compiled 61 to 30 computations (50.8% saved)

series8.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log-prod_binary64`
511×	`fma-def_binary64`
380×	`fma-neg_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	300	42
2	4483	38

Stop Event

1×	node limit

Counts

3 → 225

Calls

Call 1

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

Outputs

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

simplify85.0ms (0.8%)

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	936
1	21	936
2	41	936
3	74	936
4	110	936
5	129	936
6	137	936
7	158	936
8	244	936
9	344	936

Stop Event

1×

saturated

Counts

333 → 228

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 a c) 4)))
✓	0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 a c) 4))
✓	0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
✓	25.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 a c) 4))) b)

Compiler

Compiled 69 to 31 computations (55.1% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite128.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`log-prod_binary64`
741×	`fma-def_binary64`
363×	`fma-neg_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	324	62
2	4687	59

Stop Event

1×	node limit

Counts

4 → 377

Calls

Call 1

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
642×	`associate-/l*_binary64`
581×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202

Stop Event

1×	node limit

Counts

473 → 458

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

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
	0.3b	(/.f64 (*.f64 c c) (pow.f64 b 3))
✓	0.4b	(/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5))
✓	0.4b	(.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3))

Compiler

Compiled 99 to 50 computations (49.5% saved)

series9.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
1.0ms	c	@	inf	(.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3))
1.0ms	a	@	inf	(.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3))
0.0ms	a	@	0	(.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3))
0.0ms	c	@	0	(.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

335×	`prod-diff_binary64`
327×	`expm1-udef_binary64`
327×	`log1p-udef_binary64`
299×	`pow3_binary64`
285×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	403	49
2	5156	49

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3))
(/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (*.f64 a a)) (/.f64 1 (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (*.f64 a a)) (*.f64 (pow.f64 c 3) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c 3) (*.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (*.f64 a (*.f64 a (pow.f64 c 3)))) (pow.f64 b -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 c 6) (*.f64 4 (pow.f64 a 4)))) (*.f64 (*.f64 c (cbrt.f64 (*.f64 -2 (*.f64 a a)))) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c (cbrt.f64 (*.f64 -2 (*.f64 a a)))) (cbrt.f64 (pow.f64 b -5))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 c 6) (*.f64 4 (pow.f64 a 4))) (pow.f64 b 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 c 6) (*.f64 4 (pow.f64 a 4))) (pow.f64 b 10))) (*.f64 (*.f64 c (cbrt.f64 (*.f64 -2 (*.f64 a a)))) (cbrt.f64 (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (sqrt.f64 -2)) (pow.f64 c 3/2)) (*.f64 (*.f64 (*.f64 a (sqrt.f64 -2)) (pow.f64 c 3/2)) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 a (sqrt.f64 -2)) (pow.f64 c 3/2)) (pow.f64 b 5/2)) (/.f64 (*.f64 (*.f64 a (sqrt.f64 -2)) (pow.f64 c 3/2)) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 a (*.f64 a (pow.f64 c 3)))) (/.f64 1 (neg.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -5) (*.f64 -2 (*.f64 a (*.f64 a (pow.f64 c 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 (*.f64 a a)) 1) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 c 3) 1) (/.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 b 5)) (pow.f64 c 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 c 6) (*.f64 4 (pow.f64 a 4)))) 1) (/.f64 (*.f64 c (cbrt.f64 (*.f64 -2 (*.f64 a a)))) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 a (sqrt.f64 -2)) (pow.f64 c 3/2)) 1) (/.f64 (*.f64 (*.f64 a (sqrt.f64 -2)) (pow.f64 c 3/2)) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (cbrt.f64 (pow.f64 b 10))) (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 (*.f64 a a)) (cbrt.f64 (pow.f64 b 10))) (/.f64 (pow.f64 c 3) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 c 3) (cbrt.f64 (pow.f64 b 10))) (/.f64 (*.f64 -2 (*.f64 a a)) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 b 10))) (/.f64 (*.f64 -2 (*.f64 a (*.f64 a (pow.f64 c 3)))) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 c 6) (*.f64 4 (pow.f64 a 4)))) (cbrt.f64 (pow.f64 b 10))) (*.f64 (*.f64 c (cbrt.f64 (*.f64 -2 (*.f64 a a)))) (cbrt.f64 (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 a (sqrt.f64 -2)) (pow.f64 c 3/2)) (cbrt.f64 (pow.f64 b 10))) (/.f64 (*.f64 (*.f64 a (sqrt.f64 -2)) (pow.f64 c 3/2)) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 b 5/2)) (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 b 5/2)) (/.f64 (pow.f64 c 3) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5/2)) (/.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 b 5/2)) (/.f64 (*.f64 -2 (*.f64 a (*.f64 a (pow.f64 c 3)))) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 c 6) (*.f64 4 (pow.f64 a 4)))) (pow.f64 b 5/2)) (/.f64 (*.f64 c (cbrt.f64 (*.f64 -2 (*.f64 a a)))) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c (cbrt.f64 (*.f64 -2 (*.f64 a a)))) (cbrt.f64 (pow.f64 b -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 a (sqrt.f64 -2)) (pow.f64 c 3/2)) (pow.f64 b 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a (*.f64 a (pow.f64 c 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a (*.f64 a (pow.f64 c 3))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -2 (*.f64 a (*.f64 a (pow.f64 c 3)))) (neg.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 c 6) (*.f64 4 (pow.f64 a 4))) (pow.f64 b 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (*.f64 -2 (*.f64 a a))) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -2 (*.f64 a (*.f64 a (pow.f64 c 3)))) 3) (pow.f64 (pow.f64 b 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 -2 (*.f64 a a))))) 1))))))

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

simplify235.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-l_binary64`
632×	`sqr-pow_binary64`
578×	`associate-/r*_binary64`
565×	`associate-r_binary64`
242×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	1590
1	57	1590
2	179	1536
3	985	1536
4	5220	1536
5	5362	1536
6	5544	1536
7	5794	1536
8	6033	1536
9	6318	1536
10	6672	1536
11	7119	1536
12	7686	1536

Stop Event

1×	node limit

Counts

185 → 98

Calls

Call 1

Inputs
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 c 3) (pow.f64 a 2)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))

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

eval807.0ms (7.6%)

Compiler: Compiled 29009 to 16502 computations (43.1% saved)

prune234.0ms (2.2%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1000	23	1023
Fresh	11	10	21
Picked	1	0	1
Done	1	4	5
Total	1013	37	1050

Error

0.1b

Counts

1050 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	52.6b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
	6.5b	(.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (/.f64 1/2 a))
✓	6.3b	(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
✓	52.6b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
	6.4b	(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
	3.1b	(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
▶	55.8b	(/.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b) (*.f64 2 a))
	6.3b	(*.f64 (/.f64 c (/.f64 a a)) (/.f64 -1 b))
	55.8b	(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
	52.4b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
	1.8b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (+.f64 (/.f64 c b) (.f64 a (.f64 (.f64 c c) (pow.f64 b -3)))))
	1.8b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (fma.f64 a (/.f64 c (*.f64 b b)) 1) (/.f64 c b)))
▶	1.2b	(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b))))
✓	55.8b	(.f64 (+.f64 (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b) b) (/.f64 1/2 a))
▶	2.9b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	3.1b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b))) 3))
	6.5b	(.f64 (fma.f64 (/.f64 -2 b) (.f64 c a) 0) (/.f64 1/2 a))
	2.0b	(.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 (/.f64 c b) a)) (.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) (/.f64 1/2 a))
	5.3b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 (pow.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)) 3) 1/3))
	1.5b	(/.f64 (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 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (.f64 2 a))
	6.5b	(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
	6.4b	(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
✓	6.1b	(/.f64 (neg.f64 c) b)
	3.1b	(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
	55.9b	(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
	52.0b	(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (neg.f64 b)) (*.f64 2 a))
	4.7b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (exp.f64 (log.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))))
▶	2.0b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (expm1.f64 (log1p.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))))
	2.6b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (cbrt.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))) (cbrt.f64 (pow.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b)) 2))))
	6.4b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	52.0b	(fma.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) a) (/.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2) (neg.f64 (*.f64 b (/.f64 1/2 a))))
	6.4b	(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
	6.5b	(/.f64 1 (/.f64 a (.f64 (fma.f64 (/.f64 -2 b) (.f64 c a) 0) 1/2)))
	52.0b	(.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (/.f64 1/2 a))
	6.4b	(.f64 (fma.f64 (/.f64 (.f64 -2 c) 1) (/.f64 a b) 0) (/.f64 1/2 a))
▶	6.4b	(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
	2.2b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (cbrt.f64 (pow.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)) 3)))

Compiler

Compiled 1822 to 1218 computations (33.2% saved)

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (*.f64 a a))
	0.4b	(/.f64 (*.f64 -2 (pow.f64 c 3)) (pow.f64 b 5))
✓	0.4b	(.f64 (/.f64 c (.f64 b b)) (/.f64 c b))
	0.9b	(pow.f64 (*.f64 c a) 4)

Compiler

Compiled 186 to 85 computations (54.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
802×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	155	10
2	2314	10

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify148.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

791×	`sqr-pow_binary64`
705×	`times-frac_binary64`
591×	`unswap-sqr_binary64`
369×	`associate-/l*_binary64`
343×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	20	240
2	46	240
3	116	240
4	457	240
5	3377	240
6	4541	240
7	4721	240
8	4929	240
9	5162	240
10	5471	240
11	5869	240
12	6376	240
13	6995	240
14	7765	240

Stop Event

1×	node limit

Counts

77 → 55

Calls

Call 1

Inputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))

Outputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))

localize23.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
378×	`exp-prod_binary64`
351×	`pow-prod-down_binary64`
238×	`pow2_binary64`
214×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	193	10
2	3029	4

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

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

simplify34.0ms (0.3%)

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

98 → 64

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)

localize38.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b) (*.f64 2 a))
	0.3b	(/.f64 (*.f64 c a) b)
	25.4b	(-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b)

Compiler

Compiled 61 to 25 computations (59% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log-prod_binary64`
554×	`fma-def_binary64`
279×	`fma-neg_binary64`
279×	`expm1-udef_binary64`
279×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	301	20
2	4684	20

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

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

simplify19.0ms (0.2%)

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

99 → 65

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)

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
	0.3b	(/.f64 (*.f64 c c) (pow.f64 b 3))

Compiler

Compiled 48 to 20 computations (58.3% saved)

localize79.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 c c) (pow.f64 b -3))
	0.4b	(/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5))
	0.4b	(.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3))
✓	0.4b	(expm1.f64 (log1p.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))))

Compiler

Compiled 129 to 64 computations (50.4% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(expm1.f64 (log1p.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))))
1.0ms	b	@	-inf	(expm1.f64 (log1p.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))))
1.0ms	b	@	0	(expm1.f64 (log1p.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))))
1.0ms	a	@	-inf	(expm1.f64 (log1p.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))))
1.0ms	c	@	inf	(expm1.f64 (log1p.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))))

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
364×	`pow-prod-down_binary64`
294×	`pow2_binary64`
294×	`prod-diff_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	233	27
2	2848	27

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))))
(.f64 (.f64 c c) (pow.f64 b -3))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 c c) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 c (pow.f64 b -3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 c (pow.f64 b -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 c (pow.f64 b -3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 c (pow.f64 b -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c c) (pow.f64 b -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c c) (pow.f64 b -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 b -6) (pow.f64 c 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 b -9) (pow.f64 c 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 1 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (pow.f64 b -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b -6) (pow.f64 c 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (*.f64 c (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c c) (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b -9) (pow.f64 c 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c c) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c c) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c c) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c c) (pow.f64 b -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b -9) (pow.f64 c 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 1 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (pow.f64 b -3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 c c) (pow.f64 b -3))) 1) 1))))))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

768×	`associate-/r*_binary64`
671×	`associate-/l/_binary64`
634×	`fma-def_binary64`
559×	`associate-*l/_binary64`
494×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	834
1	29	834
2	81	780
3	290	780
4	1416	780
5	6407	780
6	7496	780

Stop Event

1×	node limit

Counts

150 → 97

Calls

Call 1

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

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

eval533.0ms (5%)

Compiler: Compiled 19736 to 10064 computations (49% saved)

prune278.0ms (2.6%)

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	686	13	699
Fresh	6	22	28
Picked	0	1	1
Done	2	6	8
Total	694	42	736

Error

0.1b

Counts

736 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	52.6b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
	6.5b	(.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (/.f64 1/2 a))
✓	52.6b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
	6.4b	(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
	2.0b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 1 b) c (.f64 (.f64 a (.f64 c c)) (pow.f64 b -3))))
	2.9b	(neg.f64 (.f64 (fma.f64 a (/.f64 c (.f64 b b)) 1) (/.f64 c b)))
	4.2b	(neg.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))) 3))
	3.1b	(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
✓	55.8b	(/.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b) (*.f64 2 a))
	6.3b	(*.f64 (/.f64 c (/.f64 a a)) (/.f64 -1 b))
	5.4b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))) 1/3)))
	55.8b	(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
	6.4b	(/.f64 a (*.f64 (/.f64 a c) (neg.f64 b)))
	52.4b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
	1.8b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (fma.f64 a (/.f64 c (*.f64 b b)) 1) (/.f64 c b)))
✓	1.2b	(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b))))
	2.9b	(neg.f64 (+.f64 (/.f64 c b) (.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)))))
✓	55.8b	(.f64 (+.f64 (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b) b) (/.f64 1/2 a))
	55.9b	(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (*.f64 2 a))
	2.0b	(.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 (/.f64 c b) a)) (.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) (/.f64 1/2 a))
	6.3b	(/.f64 (.f64 c a) (.f64 (neg.f64 b) a))
	6.5b	(.f64 (fma.f64 (/.f64 -2 b) (.f64 c a) 0) (/.f64 1/2 a))
	5.3b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 (pow.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)) 3) 1/3))
	1.5b	(/.f64 (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 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (.f64 2 a))
	1.8b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (+.f64 (/.f64 c b) (.f64 (.f64 a (.f64 c c)) (pow.f64 b -3))))
	6.4b	(/.f64 (.f64 c (.f64 a (/.f64 -2 b))) (*.f64 2 a))
	6.5b	(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
	6.4b	(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
✓	6.1b	(/.f64 (neg.f64 c) b)
	3.1b	(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
	55.9b	(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
	62.9b	(/.f64 c b)
✓	6.4b	(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
	52.0b	(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (neg.f64 b)) (*.f64 2 a))
	4.7b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (exp.f64 (log.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))))
✓	2.0b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (expm1.f64 (log1p.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))))
	6.4b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	52.0b	(fma.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) a) (/.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2) (neg.f64 (*.f64 b (/.f64 1/2 a))))
	6.4b	(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
	2.3b	(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (/.f64 1 b)) (.f64 (.f64 a (*.f64 c c)) (pow.f64 b -3))))
	52.0b	(.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (/.f64 1/2 a))
	6.3b	(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a)

Compiler

Compiled 1015 to 674 computations (33.6% saved)

regimes366.0ms (3.4%)

Counts

73 → 1

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 a (*.f64 (/.f64 a c) (neg.f64 b)))
(/.f64 (.f64 c a) (.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a)
(*.f64 (/.f64 c (/.f64 a a)) (/.f64 -1 b))
(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
(/.f64 (.f64 c (.f64 a (/.f64 -2 b))) (*.f64 2 a))
(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (/.f64 1/2 a))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(/.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b) (*.f64 2 a))
(.f64 (+.f64 (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b) b) (/.f64 1/2 a))
(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (*.f64 2 a))
(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (*.f64 2 a))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
(.f64 (fma.f64 (/.f64 -2 b) (.f64 c a) 0) (/.f64 1/2 a))
(neg.f64 (.f64 (fma.f64 a (/.f64 c (.f64 b b)) 1) (/.f64 c b)))
(neg.f64 (+.f64 (/.f64 c b) (.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)))))
(/.f64 1 (/.f64 a (.f64 (fma.f64 (/.f64 -2 b) (.f64 c a) 0) 1/2)))
(.f64 (fma.f64 (/.f64 (.f64 -2 c) 1) (/.f64 a b) 0) (/.f64 1/2 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
(.f64 (fma.f64 (.f64 c a) (*.f64 (/.f64 1 b) -2) (-.f64 b b)) (/.f64 1/2 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/2) b) (/.f64 1/2 a))
(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 a c) -4) (.f64 (.f64 a c) -4)) (pow.f64 b 4)) (-.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (fma.f64 a (/.f64 c (*.f64 b b)) 1) (/.f64 c b)))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (+.f64 (/.f64 c b) (.f64 (.f64 a (.f64 c c)) (pow.f64 b -3))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (+.f64 (/.f64 c b) (.f64 a (.f64 (.f64 c c) (pow.f64 b -3)))))
(neg.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))) 3))
(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 1 b) c (.f64 (.f64 a (.f64 c c)) (pow.f64 b -3))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (neg.f64 b)) (*.f64 2 a))
(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
(fma.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) a) (/.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2) (neg.f64 (*.f64 b (/.f64 1/2 a))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (exp.f64 (log.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (expm1.f64 (log1p.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b))) 3))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (cbrt.f64 (pow.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)) 3)))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 (pow.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)) 3) 1/3))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))) 1/3)))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (/.f64 1 b)) (.f64 (.f64 a (*.f64 c c)) (pow.f64 b -3))))
(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))
(.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 (/.f64 c b) a)) (.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) (/.f64 1/2 a))
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b))))
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (-.f64 (.f64 (/.f64 (.f64 -2 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (cbrt.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))) (cbrt.f64 (pow.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b)) 2))))
(/.f64 (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 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (.f64 2 a))
(/.f64 (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 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (.f64 2 a))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) (.f64 a (pow.f64 b 2)))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a)))) 2) (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)))) (pow.f64 (.f64 1/2 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2))) 2)) (.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 -4 (.f64 c a)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (.f64 c a))))) 2)) (.f64 a b))) (.f64 1/4 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (.f64 c a))) (.f64 2 (sqrt.f64 (*.f64 c a)))) a)))))
(.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (/.f64 1/2 a))

Outputs

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

Calls

4 calls:

86.0ms	b
60.0ms	c
60.0ms	a
33.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Results

Error	Segments	Branch
1.2b	1	`a`
1.2b	1	`b`
1.2b	1	`c`
1.2b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 1767 to 962 computations (45.6% saved)

regimes256.0ms (2.4%)

Counts

65 → 1

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 a (*.f64 (/.f64 a c) (neg.f64 b)))
(/.f64 (.f64 c a) (.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a)
(*.f64 (/.f64 c (/.f64 a a)) (/.f64 -1 b))
(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
(/.f64 (.f64 c (.f64 a (/.f64 -2 b))) (*.f64 2 a))
(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (/.f64 1/2 a))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(/.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b) (*.f64 2 a))
(.f64 (+.f64 (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b) b) (/.f64 1/2 a))
(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (*.f64 2 a))
(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (*.f64 2 a))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
(.f64 (fma.f64 (/.f64 -2 b) (.f64 c a) 0) (/.f64 1/2 a))
(neg.f64 (.f64 (fma.f64 a (/.f64 c (.f64 b b)) 1) (/.f64 c b)))
(neg.f64 (+.f64 (/.f64 c b) (.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)))))
(/.f64 1 (/.f64 a (.f64 (fma.f64 (/.f64 -2 b) (.f64 c a) 0) 1/2)))
(.f64 (fma.f64 (/.f64 (.f64 -2 c) 1) (/.f64 a b) 0) (/.f64 1/2 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
(.f64 (fma.f64 (.f64 c a) (*.f64 (/.f64 1 b) -2) (-.f64 b b)) (/.f64 1/2 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/2) b) (/.f64 1/2 a))
(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 a c) -4) (.f64 (.f64 a c) -4)) (pow.f64 b 4)) (-.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (fma.f64 a (/.f64 c (*.f64 b b)) 1) (/.f64 c b)))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (+.f64 (/.f64 c b) (.f64 (.f64 a (.f64 c c)) (pow.f64 b -3))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (+.f64 (/.f64 c b) (.f64 a (.f64 (.f64 c c) (pow.f64 b -3)))))
(neg.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 (.f64 c c) (pow.f64 b -3)) (/.f64 c b))) 3))
(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)))) (.f64 2 a))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (/.f64 1 b) c (.f64 (.f64 a (.f64 c c)) (pow.f64 b -3))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (neg.f64 b)) (*.f64 2 a))
(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
(fma.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) a) (/.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2) (neg.f64 (*.f64 b (/.f64 1/2 a))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (exp.f64 (log.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (expm1.f64 (log1p.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b))) 3))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (cbrt.f64 (pow.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)) 3)))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 (pow.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)) 3) 1/3))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)) (/.f64 c b)))) 1/3)))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (/.f64 1 b)) (.f64 (.f64 a (*.f64 c c)) (pow.f64 b -3))))
(/.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b)) (.f64 (/.f64 -4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 a))
(.f64 (fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 (/.f64 c b) a)) (.f64 -4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)))) (/.f64 1/2 a))

Outputs
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (+.f64 (/.f64 c b) (.f64 (.f64 a (.f64 c c)) (pow.f64 b -3))))

Calls

4 calls:

73.0ms	c
65.0ms	b
31.0ms	a
30.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Results

Error	Segments	Branch
1.8b	1	`a`
1.8b	1	`b`
1.8b	1	`c`
1.8b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 1265 to 670 computations (47% saved)

regimes127.0ms (1.2%)

Counts

46 → 1

Calls

Call 1

Inputs
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 a (*.f64 (/.f64 a c) (neg.f64 b)))
(/.f64 (.f64 c a) (.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a)
(*.f64 (/.f64 c (/.f64 a a)) (/.f64 -1 b))
(.f64 (/.f64 (.f64 c a) b) (/.f64 -1 a))
(.f64 (/.f64 c a) (/.f64 (.f64 a -1) b))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 a b))
(.f64 (.f64 c a) (/.f64 1 (*.f64 b (neg.f64 a))))
(/.f64 (.f64 c (.f64 a (/.f64 -2 b))) (*.f64 2 a))
(.f64 c (.f64 (*.f64 a -1) (/.f64 (/.f64 1 a) b)))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 -2 (/.f64 a (/.f64 b c))) (/.f64 1/2 a))
(.f64 (.f64 c (*.f64 a (/.f64 -2 b))) (/.f64 1/2 a))
(.f64 (.f64 (/.f64 (*.f64 c -2) b) a) (/.f64 1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 -2 (/.f64 (*.f64 c a) b)) (/.f64 1/2 a))
(/.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))) b) (*.f64 2 a))
(.f64 (+.f64 (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b) b) (/.f64 1/2 a))
(.f64 (-.f64 (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (.f64 (.f64 c a) -2) b))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (*.f64 2 a))
(+.f64 (.f64 (/.f64 1/2 a) b) (.f64 (/.f64 1/2 a) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b)))
(/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (*.f64 2 a))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b) (-.f64 (/.f64 (.f64 -2 (.f64 c a)) b) b))) (-.f64 b (-.f64 (/.f64 (.f64 -2 (*.f64 c a)) b) b))) (/.f64 1/2 a))
(.f64 (fma.f64 (/.f64 -2 b) (.f64 c a) 0) (/.f64 1/2 a))
(neg.f64 (.f64 (fma.f64 a (/.f64 c (.f64 b b)) 1) (/.f64 c b)))
(neg.f64 (+.f64 (/.f64 c b) (.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)))))
(/.f64 1 (/.f64 a (.f64 (fma.f64 (/.f64 -2 b) (.f64 c a) 0) 1/2)))
(.f64 (fma.f64 (/.f64 (.f64 -2 c) 1) (/.f64 a b) 0) (/.f64 1/2 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))) b) (.f64 2 a))
(.f64 (fma.f64 (.f64 c a) (*.f64 (/.f64 1 b) -2) (-.f64 b b)) (/.f64 1/2 a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4)) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a c) 4))))) (.f64 2 a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)) 1/2) b) (/.f64 1/2 a))
(.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 (/.f64 c b) a))) (/.f64 1/2 a))
(/.f64 (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (/.f64 (.f64 c a) b))) (*.f64 2 a))
(.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 a c) -4) (.f64 (.f64 a c) -4)) (pow.f64 b 4)) (-.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (+.f64 b (.f64 2 (sqrt.f64 (.f64 a c)))) (-.f64 b (.f64 2 (sqrt.f64 (.f64 a c))))))) (.f64 2 a))
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (fma.f64 a (/.f64 c (*.f64 b b)) 1) (/.f64 c b)))

Outputs
(-.f64 (/.f64 (.f64 (.f64 -2 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (fma.f64 a (/.f64 c (*.f64 b b)) 1) (/.f64 c b)))

Calls

4 calls:

50.0ms	a
24.0ms	c
23.0ms	b
11.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Results

Error	Segments	Branch
1.8b	1	`a`
1.8b	1	`b`
1.8b	1	`c`
1.8b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 731 to 383 computations (47.6% saved)

regimes132.0ms (1.2%)

Counts

45 → 1

Calls

Call 1

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

Outputs
(neg.f64 (+.f64 (/.f64 c b) (.f64 a (.f64 (*.f64 c c) (pow.f64 b -3)))))

Calls

4 calls:

55.0ms	b
22.0ms	c
21.0ms	a
13.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Results

Error	Segments	Branch
2.9b	1	`a`
2.9b	1	`b`
2.9b	1	`c`
2.9b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 705 to 371 computations (47.4% saved)

regimes65.0ms (0.6%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	a
20.0ms	c
15.0ms	b

Results

Error	Segments	Branch
2.9b	1	`a`
2.9b	1	`b`
2.9b	1	`c`

Compiler

Compiled 390 to 206 computations (47.2% saved)

regimes61.0ms (0.6%)

Accuracy

Total -56.8b remaining (-929.7%)

Threshold costs -56.8b (-929.7%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	b
15.0ms	a
15.0ms	c

Results

Error	Segments	Branch
6.1b	1	`a`
6.1b	1	`b`
6.1b	1	`c`

Compiler

Compiled 377 to 201 computations (46.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	191
1	86	191
2	120	191
3	153	191
4	176	191
5	185	191
6	188	191

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 151 to 98 computations (35.1% saved)

soundness109.0ms (1%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
642×	`associate-/l*_binary64`
581×	`associate-/r*_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202

Stop Event

1×	node limit

Compiler

Compiled 1816 to 1366 computations (24.8% saved)

end73.0ms (0.7%)

Compiler: Compiled 133 to 66 computations (50.4% 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	936
1	21	936
2	41	936
3	74	936
4	110	936
5	129	936
6	137	936
7	158	936
8	244	936
9	344	936

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	936
1	21	936
2	41	936
3	74	936
4	110	936
5	129	936
6	137	936
7	158	936
8	244	936
9	344	936

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	936
1	21	936
2	41	936
3	74	936
4	110	936
5	129	936
6	137	936
7	158	936
8	244	936
9	344	936