Details

analyze429.0ms (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
6.2%	87.4%	6.4%	8
10.1%	81.1%	8.7%	9
15.6%	71%	13.4%	10
22%	63%	15%	11
29.1%	52.9%	18.1%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.6s (16.2%)

Results

891.0ms	5571×	body	256	valid
632.0ms	1098×	body	2048	valid
327.0ms	492×	body	4096	valid
279.0ms	737×	body	1024	valid
263.0ms	1612×	body	256	invalid
144.0ms	358×	body	512	valid

preprocess86.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

807×	`fma-def_binary64`
685×	`div-sub_binary64`
484×	`associate-/r*_binary64`
440×	`distribute-frac-neg_binary64`
353×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	98	88
2	198	88
3	446	88
4	757	88
5	1250	88
6	2225	88
7	4449	88
8	7171	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
747×	`fma-neg_binary64`
695×	`div-sub_binary64`
619×	`times-frac_binary64`
422×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	34	22
2	69	22
3	161	22
4	257	22
5	415	22
6	730	22
7	1322	22
8	2632	22
9	3914	22
10	5780	22
11	6909	22
12	7751	22
13	7839	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

35.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
▶	35.2b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
✓	1.1b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
✓	1.2b	(fma.f64 b b (.f64 a (.f64 c -4)))
✓	23.7b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series30.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	c	@	0	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
2.0ms	c	@	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))
2.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
2.0ms	a	@	-inf	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
1.0ms	a	@	inf	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log-prod_binary64`
639×	`prod-diff_binary64`
320×	`fma-def_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	281	59
2	3659	59

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

969×	`times-frac_binary64`
898×	`fma-def_binary64`
824×	`associate-l_binary64`
643×	`associate-/l*_binary64`
573×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2486
1	570	2363
2	2042	2204

Stop Event

1×	node limit

Counts

314 → 301

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 73 to 32 computations (56.2% saved)

series19.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite123.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`log-prod_binary64`
729×	`fma-def_binary64`
373×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	343	62
2	4920	59

Stop Event

1×	node limit

Counts

4 → 334

Calls

Call 1

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

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
644×	`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	2117	2202

Stop Event

1×	node limit

Counts

430 → 415

Calls

Call 1

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

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

eval336.0ms (2.1%)

Compiler: Compiled 20648 to 12292 computations (40.5% saved)

prune142.0ms (0.9%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	688	28	716
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	689	29	718

Error

4.7b

Counts

718 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	38.0b	(.f64 (-.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
	56.9b	(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 a b) c) b)) (.f64 2 a))
▶	33.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	42.4b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (*.f64 2 c) b) a) b)) (/.f64 -1/2 a))
	42.1b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	46.1b	(/.f64 (/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) -1/2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
	55.1b	(pow.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (*.f64 a -2)) 3) 1/3)
	47.7b	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
▶	42.0b	(neg.f64 (/.f64 b a))
	46.5b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (.f64 2 a))
	42.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	42.7b	(.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) 3)) (/.f64 -1/2 a))
	33.7b	(pow.f64 (cbrt.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 3)
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
▶	35.6b	(.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
	42.7b	(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
	51.3b	(/.f64 (.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 (/.f64 a b) c))) (.f64 2 a))
	45.0b	(.f64 (.f64 (/.f64 (*.f64 2 c) b) a) (/.f64 -1/2 a))
	41.0b	(/.f64 (neg.f64 c) b)
▶	35.2b	(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	57.0b	(.f64 (-.f64 b (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b)))) (/.f64 -1/2 a))
	48.5b	(.f64 (-.f64 b (sqrt.f64 (/.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)))))) (/.f64 -1/2 a))
	46.5b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
	57.2b	(*.f64 (-.f64 b b) (/.f64 -1/2 a))
▶	47.2b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	46.0b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	48.6b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) (*.f64 2 a))
	43.0b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
✓	35.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Compiler

Compiled 1042 to 716 computations (31.3% saved)

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
✓	0.7b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	12.8b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series204.0ms (1.3%)

Counts

4 → 36

Calls

33 calls:

Time	Variable		Point	Expression
91.0ms	c	@	0	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
14.0ms	c	@	inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
12.0ms	b	@	inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
9.0ms	c	@	-inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
7.0ms	a	@	inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))

rewrite179.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`log-prod_binary64`
593×	`prod-diff_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
246×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	324	66
2	4245	66

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

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

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

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

805×	`associate-/r*_binary64`
677×	`unswap-sqr_binary64`
374×	`associate-*l/_binary64`
346×	`associate-*r/_binary64`
239×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	1792
1	667	1419
2	2713	1360
3	6817	1353

Stop Event

1×	node limit

Counts

251 → 287

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 -2 (/.f64 b (*.f64 c a)))
✓	5.1b	(/.f64 b (*.f64 c a))
✓	9.1b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

27 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
399×	`pow-prod-down_binary64`
316×	`pow2_binary64`
254×	`pow-unpow_binary64`
248×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	244	30
2	3517	30

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

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

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

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

214 → 146

Calls

Call 1

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

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

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
✓	1.0b	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
✓	1.1b	(-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))))
✓	23.7b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))

Compiler

Compiled 69 to 37 computations (46.4% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log-prod_binary64`
621×	`fma-def_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`
267×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	312	59
2	4334	59

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

969×	`times-frac_binary64`
898×	`fma-def_binary64`
822×	`associate-l_binary64`
643×	`associate-/l*_binary64`
574×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2486
1	570	2363
2	2042	2204

Stop Event

1×	node limit

Counts

332 → 319

Calls

Call 1

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
✓	0.5b	(pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)
✓	10.6b	(-.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2))
✓	24.3b	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)

Compiler

Compiled 81 to 46 computations (43.2% saved)

series75.0ms (0.5%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
14.0ms	a	@	-inf	(.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
7.0ms	c	@	0	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)
5.0ms	c	@	-inf	(-.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2))
3.0ms	a	@	inf	(.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
3.0ms	c	@	0	(-.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2))

rewrite128.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`log-prod_binary64`
701×	`prod-diff_binary64`
318×	`fma-def_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	351	65
2	4251	62

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

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

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

simplify163.0ms (1%)

Algorithm

1×	egg-herbie

Rules

515×	`times-frac_binary64`
509×	`associate-l_binary64`
435×	`associate-/r*_binary64`
431×	`associate-/l*_binary64`
342×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	764	11578
1	2754	10285

Stop Event

1×	node limit

Counts

378 → 493

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
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(sqrt.f64 b)
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b
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b
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b
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b
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(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 2 (.f64 b (+.f64 (.f64 2 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (.f64 16/3 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (+.f64 (.f64 -16 (/.f64 (pow.f64 a 4) (pow.f64 b 8))) (.f64 1/24 (/.f64 (pow.f64 a 4) (pow.f64 b 8))))))))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) a) b)) (.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) 2) b)))) a)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) a)) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -2 (/.f64 (.f64 a (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))) a)))))
(.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (.f64 c (pow.f64 a 2)))) (.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)) (.f64 1/2 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2)))) (.f64 (pow.f64 c 2) a)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2)))) (.f64 (pow.f64 c 2) a))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) a)) (.f64 2 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))) (.f64 (pow.f64 c 3) a))))))
(.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c (pow.f64 a 2)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c (pow.f64 a 2))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c (pow.f64 a 2)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (.f64 (pow.f64 c 3) a))))))

Outputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(*.f64 1 (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (.f64 1 (sqrt.f64 b)))
(-.f64 (sqrt.f64 b) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (.f64 1 (+.f64 (.f64 (sqrt.f64 b) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) -3/2) (*.f64 a a))) (sqrt.f64 b))))
(-.f64 (.f64 (sqrt.f64 b) (+.f64 (.f64 (/.f64 (.f64 (.f64 c c) -3/2) (pow.f64 b 4)) (.f64 a a)) 1)) (.f64 a (*.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 1 (.f64 (sqrt.f64 b) (.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -10/3)))) (.f64 1 (+.f64 (.f64 (sqrt.f64 b) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) -3/2) (.f64 a a))) (sqrt.f64 b)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 b) (+.f64 (.f64 (pow.f64 a 3) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -7/2)) (.f64 (/.f64 (.f64 (.f64 c c) -3/2) (pow.f64 b 4)) (.f64 a a)))) (sqrt.f64 b)) (.f64 a (*.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 c -4))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 c -4)))) (/.f64 (.f64 c a) (.f64 b b))) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 c -4)))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 c -4)))) (/.f64 (.f64 c a) (.f64 b b))) (+.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 c -4)))) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 c -4)))) (/.f64 (.f64 a a) (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512)))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) a)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) a) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) a))))
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(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 c -4)))) (/.f64 (.f64 c a) (.f64 b b))) (+.f64 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 c -4)))) (/.f64 (.f64 a a) (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512))) (+.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 c -4)))) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (.f64 c -4)))) (/.f64 (pow.f64 a 3) (fma.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 11/24576)))))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) a)) (+.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) a) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) a)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) -7/8192)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) (.f64 -1/16 (/.f64 (.f64 (.f64 b b) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a)))))) (.f64 c a))))
(+.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) a))))
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(sqrt.f64 b)
(*.f64 1 (sqrt.f64 b))
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
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(-.f64 (sqrt.f64 b) (.f64 a (.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
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(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
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b
(+.f64 b (*.f64 -1 b))
(*.f64 0 b)
0
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(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 0 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) 0)
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(-.f64 (.f64 2 (/.f64 c (/.f64 b a))) (/.f64 (.f64 b (.f64 a (.f64 a (*.f64 c c)))) (/.f64 (pow.f64 b 4) -2)))
b
(*.f64 2 b)
(*.f64 b 2)
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(.f64 2 (/.f64 (.f64 c a) b))
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(-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 c -4)))) 2))
(-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a))) 2))
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b
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0
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(fma.f64 -1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 c (.f64 a a)) (.f64 b b))) (fma.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2)) a) (.f64 1/2 (+.f64 (/.f64 (/.f64 (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 a a) (pow.f64 b 4))) (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2)))) (.f64 c c)) a) (/.f64 (fma.f64 -1/8 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (/.f64 a (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2)))) (.f64 (.f64 2 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (.f64 a (pow.f64 c 3)))))))
(fma.f64 -1/16 (.f64 (.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2) c)) (fma.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2)) a) (.f64 1/2 (+.f64 (/.f64 (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2) a) (/.f64 (pow.f64 b 4) a)) (.f64 2 (.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2)))) (.f64 c c)) a) (/.f64 (fma.f64 -1/8 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 a a)) (/.f64 (/.f64 a (.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2))) (.f64 (.f64 2 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2))) (.f64 a (pow.f64 c 3)))))))
(.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) a))
(.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))))) a))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) a) (.f64 -1/16 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (.f64 b b) (.f64 a a)))))
(fma.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))))) a) (.f64 (/.f64 -1/16 (.f64 a a)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (/.f64 c (*.f64 b b)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c (pow.f64 a 2))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (.f64 a a) (pow.f64 b 4))) (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) (.f64 a (.f64 c c))) (fma.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) a) (.f64 -1/16 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (.f64 b b) (*.f64 a a))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) a) (/.f64 (pow.f64 b 4) a)) (.f64 2 (.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 a a)) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))))))) (.f64 a (.f64 c c))) (fma.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))))) a) (.f64 (/.f64 -1/16 (.f64 a a)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (/.f64 c (.f64 b b))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (.f64 (pow.f64 c 2) a))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c (pow.f64 a 2)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (.f64 (pow.f64 c 3) a))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (.f64 a a) (pow.f64 b 4))) (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) (.f64 a (.f64 c c))) (fma.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) a) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (.f64 b b) (.f64 a a))) (.f64 -1/2 (/.f64 (fma.f64 2 (.f64 (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/6144)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 1/8 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (/.f64 a (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))) (*.f64 a (pow.f64 c 3)))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) a) (/.f64 (pow.f64 b 4) a)) (.f64 2 (.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 a a)) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))))))) (.f64 a (.f64 c c))) (fma.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))))) a) (fma.f64 -1/16 (.f64 (.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) c)) (.f64 -1/2 (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/8192) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))))) (.f64 1/8 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 a a)) a) (.f64 (.f64 b b) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))))))) (*.f64 a (pow.f64 c 3)))))))

eval1.1s (6.9%)

Compiler: Compiled 45311 to 30424 computations (32.9% saved)

prune291.0ms (1.8%)

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1226	19	1245
Fresh	16	7	23
Picked	1	0	1
Done	0	5	5
Total	1243	31	1274

Error

0.3b

Counts

1274 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	48.6b	(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) (*.f64 2 a))
	41.0b	(/.f64 1 (/.f64 (neg.f64 b) c))
✓	33.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	42.4b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (*.f64 2 c) b) a) b)) (/.f64 -1/2 a))
✓	42.0b	(neg.f64 (/.f64 b a))
	55.4b	(.f64 (-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2)) (/.f64 -1/2 a))
▶	46.0b	(.f64 (-.f64 b (pow.f64 (pow.f64 (.f64 c (*.f64 a -4)) 1/4) 2)) (/.f64 -1/2 a))
▶	46.5b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (.f64 2 a))
	42.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	45.4b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
✓	35.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	57.2b	(*.f64 0 (/.f64 -1/2 a))
▶	33.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (.f64 a (*.f64 c -4)) 1/4) 2))) -1/2)))
	46.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	46.1b	(/.f64 (.f64 (.f64 (/.f64 -2 b) a) c) (*.f64 2 a))
	45.4b	(/.f64 (/.f64 -2 (.f64 (/.f64 b c) (/.f64 1 a))) (.f64 2 a))
	45.4b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
▶	41.0b	(/.f64 (neg.f64 c) b)
✓	35.2b	(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	42.7b	(.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) 3)) (/.f64 -1/2 a))
	55.1b	(.f64 (-.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (/.f64 -1/2 a))
	46.0b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
✓	47.2b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	46.5b	(/.f64 1 (fma.f64 2 (/.f64 (.f64 (.f64 c (*.f64 a a)) 1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c))))
	55.4b	(.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) a))
	34.2b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (exp.f64 (.f64 (log.f64 (.f64 a (.f64 c -4))) 1/2)))) -1/2)))
▶	40.4b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
	55.4b	(.f64 -1/2 (/.f64 (-.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2)) a))
	42.1b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	43.0b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 (.f64 a c) -4 (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
	42.0b	(/.f64 1 (/.f64 (neg.f64 a) b))

Compiler

Compiled 975 to 722 computations (25.9% saved)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (.f64 a (*.f64 c -4)) 1/4) 2))) -1/2)))
✓	0.3b	(pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)
✓	0.7b	(-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)))
✓	13.9b	(pow.f64 (.f64 a (.f64 c -4)) 1/4)

Compiler

Compiled 110 to 79 computations (28.2% saved)

series188.0ms (1.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
47.0ms	a	@	-inf	(pow.f64 (.f64 a (.f64 c -4)) 1/4)
30.0ms	c	@	0	(-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)))
25.0ms	a	@	0	(pow.f64 (.f64 a (.f64 c -4)) 1/4)
18.0ms	c	@	0	(pow.f64 (.f64 a (.f64 c -4)) 1/4)
16.0ms	c	@	-inf	(pow.f64 (.f64 a (.f64 c -4)) 1/4)

rewrite109.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`prod-diff_binary64`
317×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
268×	`log-pow_binary64`
254×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	61
1	398	55
2	4986	55

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

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

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

925×	`times-frac_binary64`
694×	`associate-/l*_binary64`
614×	`fma-def_binary64`
502×	`associate-/r*_binary64`
390×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	3680
1	657	3178
2	2187	2851

Stop Event

1×	node limit

Counts

309 → 273

Calls

Call 1

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

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

localize8.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 a b) (/.f64 b c))
✓	0.5b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))

Compiler

Compiled 29 to 9 computations (69% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
313×	`fma-def_binary64`
279×	`pow2_binary64`
211×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	203	23
2	3082	23

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

740×	`associate-*l/_binary64`
702×	`associate-/r/_binary64`
517×	`unswap-sqr_binary64`
495×	`associate-*r/_binary64`
345×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1459
1	160	1381
2	591	1341
3	3351	1337

Stop Event

1×	node limit

Counts

264 → 212

Calls

Call 1

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

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

localize98.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 b (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2))
✓	0.2b	(.f64 (-.f64 b (pow.f64 (pow.f64 (.f64 c (*.f64 a -4)) 1/4) 2)) (/.f64 -1/2 a))
✓	0.3b	(pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2)
✓	13.9b	(pow.f64 (.f64 c (.f64 a -4)) 1/4)

Compiler

Compiled 63 to 45 computations (28.6% saved)

series32.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

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

rewrite235.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`prod-diff_binary64`
739×	`log-prod_binary64`
298×	`fma-def_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	336	49
2	4150	49

Stop Event

1×	node limit

Counts

4 → 264

Calls

Call 1

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

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

simplify163.0ms (1%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-r_binary64`
561×	`associate-l_binary64`
549×	`fma-neg_binary64`
472×	`fma-def_binary64`
165×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	2567
1	253	2494
2	651	2206
3	1652	1630
4	7398	1630

Stop Event

1×	node limit

Counts

384 → 306

Calls

Call 1

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

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

localize156.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	4.9b	(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
✓	12.8b	(sqrt.f64 (.f64 (.f64 a c) -4))
✓	20.1b	(-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (*.f64 b b))

Compiler

Compiled 116 to 53 computations (54.3% saved)

series38.0ms (0.2%)

Counts

4 → 86

Calls

33 calls:

Time	Variable		Point	Expression
8.0ms	c	@	inf	(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
5.0ms	a	@	inf	(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
4.0ms	a	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
4.0ms	c	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))
2.0ms	b	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))))

rewrite117.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
567×	`fma-def_binary64`
340×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	318	71
2	4518	71

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

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

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac_binary64`
641×	`fma-def_binary64`
604×	`associate-/l*_binary64`
465×	`associate-/r*_binary64`
374×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1410
1	401	1194
2	1688	1122

Stop Event

1×	node limit

Counts

316 → 260

Calls

Call 1

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

eval784.0ms (5%)

Compiler: Compiled 30831 to 18371 computations (40.4% saved)

prune340.0ms (2.2%)

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	1026	25	1051
Fresh	12	9	21
Picked	1	0	1
Done	1	8	9
Total	1040	42	1082

Error

0.0b

Counts

1082 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	42.4b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (*.f64 2 c) b) a) b)) (/.f64 -1/2 a))
	54.4b	(.f64 (-.f64 b (pow.f64 (.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2)) (/.f64 -1/2 a))
	49.4b	(/.f64 1 (.f64 (-.f64 (.f64 a c) (.f64 b b)) (/.f64 1 (.f64 b c))))
	40.7b	(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
▶	62.4b	(/.f64 b a)
✓	42.0b	(neg.f64 (/.f64 b a))
	40.4b	(/.f64 1 (fma.f64 (/.f64 1 b) a (/.f64 (neg.f64 b) c)))
▶	38.0b	(/.f64 (/.f64 (.f64 a (.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (*.f64 2 a))
	51.1b	(.f64 (cbrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) 3)) (/.f64 -1/2 a))
✓	46.0b	(.f64 (-.f64 b (pow.f64 (pow.f64 (.f64 c (*.f64 a -4)) 1/4) 2)) (/.f64 -1/2 a))
	42.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	45.4b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
▶	50.2b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))) (/.f64 -1/2 a))
	54.5b	(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 3) -1/3)
✓	35.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
▶	46.8b	(/.f64 1 (/.f64 (/.f64 (-.f64 (.f64 a c) (.f64 b b)) b) c))
✓	33.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (pow.f64 (pow.f64 (.f64 a (*.f64 c -4)) 1/4) 2))) -1/2)))
	42.0b	(/.f64 1 (/.f64 (neg.f64 a) b))
	54.4b	(.f64 (-.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
	62.4b	(/.f64 1 (/.f64 a b))
	46.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) -1/2)))
	51.7b	(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
	46.1b	(/.f64 (.f64 (.f64 (/.f64 -2 b) a) c) (*.f64 2 a))
	45.4b	(/.f64 (/.f64 -2 (.f64 (/.f64 b c) (/.f64 1 a))) (.f64 2 a))
	46.0b	(/.f64 (-.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 a -2))
	45.4b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
✓	41.0b	(/.f64 (neg.f64 c) b)
✓	35.2b	(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	41.0b	(/.f64 1 (/.f64 (neg.f64 b) c))
	51.8b	(/.f64 1 (exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1/3)))
	46.5b	(/.f64 1 (fma.f64 2 (/.f64 (.f64 (.f64 c (*.f64 a a)) 1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c))))
	49.2b	(.f64 (/.f64 1 (-.f64 (.f64 a c) (.f64 b b))) (.f64 b c))
	54.4b	(.f64 (-.f64 b (.f64 (pow.f64 (pow.f64 c 1/4) 2) (pow.f64 (pow.f64 (*.f64 a -4) 1/4) 2))) (/.f64 -1/2 a))
	50.9b	(/.f64 1 (/.f64 (-.f64 c (.f64 (/.f64 b a) b)) (.f64 (/.f64 b a) c)))
	49.2b	(/.f64 1 (/.f64 1 (/.f64 (.f64 b c) (-.f64 (.f64 a c) (*.f64 b b)))))
	40.6b	(/.f64 1 (/.f64 (-.f64 (.f64 (neg.f64 a) (/.f64 c b)) (.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 c b))))
	45.4b	(.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2))))
✓	40.4b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
▶	46.0b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	42.1b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	63.1b	(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
✓	47.2b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))

Compiler

Compiled 1213 to 866 computations (28.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))
✓	2.2b	(/.f64 (/.f64 (.f64 a (.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (*.f64 2 a))
✓	6.3b	(/.f64 (.f64 a (.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))
	12.8b	(sqrt.f64 (.f64 (.f64 a c) -4))

Compiler

Compiled 87 to 48 computations (44.8% saved)

series146.0ms (0.9%)

Counts

3 → 42

Calls

27 calls:

Time	Variable		Point	Expression
77.0ms	c	@	inf	(/.f64 (.f64 a (.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))
15.0ms	c	@	0	(/.f64 (/.f64 (.f64 a (.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (*.f64 2 a))
9.0ms	c	@	inf	(/.f64 (/.f64 (.f64 a (.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (*.f64 2 a))
7.0ms	c	@	-inf	(/.f64 (.f64 a (.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))
4.0ms	a	@	inf	(/.f64 (.f64 a (.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
297×	`expm1-udef_binary64`
297×	`log1p-udef_binary64`
267×	`fma-def_binary64`
170×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	357	69
2	4897	69

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

892×	`associate-/r*_binary64`
469×	`associate-*l/_binary64`
426×	`associate-*r/_binary64`
304×	`associate-r_binary64`
246×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	1989
1	734	1558
2	3226	1474

Stop Event

1×	node limit

Counts

192 → 221

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (/.f64 (/.f64 (-.f64 (.f64 a c) (.f64 b b)) b) c))
✓	1.2b	(-.f64 (.f64 a c) (.f64 b b))
✓	2.7b	(/.f64 (/.f64 (-.f64 (.f64 a c) (.f64 b b)) b) c)
✓	21.0b	(/.f64 (-.f64 (.f64 a c) (.f64 b b)) b)

Compiler

Compiled 53 to 11 computations (79.2% saved)

series92.0ms (0.6%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
76.0ms	a	@	inf	(/.f64 (-.f64 (.f64 a c) (.f64 b b)) b)
1.0ms	c	@	-inf	(/.f64 (/.f64 (-.f64 (.f64 a c) (.f64 b b)) b) c)
1.0ms	a	@	0	(/.f64 (/.f64 (-.f64 (.f64 a c) (.f64 b b)) b) c)
1.0ms	a	@	0	(/.f64 (-.f64 (.f64 a c) (.f64 b b)) b)
1.0ms	a	@	-inf	(/.f64 (-.f64 (.f64 a c) (.f64 b b)) b)

rewrite139.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`log-prod_binary64`
410×	`fma-def_binary64`
326×	`pow2_binary64`
230×	`pow-unpow_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	253	46
2	3852	46

Stop Event

1×	node limit

Counts

4 → 336

Calls

Call 1

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

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

simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

733×	`associate-/r/_binary64`
556×	`unswap-sqr_binary64`
367×	`times-frac_binary64`
356×	`sub-neg_binary64`
342×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	2171
1	178	2012
2	621	1972
3	3439	1968
4	7198	1968

Stop Event

1×	node limit

Counts

480 → 367

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))
✓	0.2b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
✓	12.8b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series17.0ms (0.1%)

Counts

3 → 28

Calls

24 calls:

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

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`prod-diff_binary64`
644×	`log-prod_binary64`
348×	`fma-def_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	262	39
2	3479	39

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

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

Outputs

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

simplify209.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1328×	`fma-def_binary64`
789×	`fma-neg_binary64`
267×	`div-sub_binary64`
212×	`distribute-rgt-in_binary64`
207×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	21	383
1	38	374
2	69	374
3	92	374
4	106	374
5	148	374
6	233	374
7	328	374
8	552	374
9	1026	365
10	2130	365
11	2656	365
12	2919	365
13	3160	365
14	3479	365
15	4103	365
16	4428	365
17	4992	365
18	5285	365
19	5575	365
20	5613	365
21	5705	365

Stop Event

1×

saturated

Counts

236 → 219

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -4 (.f64 c a))
✓	0.2b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))) (/.f64 -1/2 a))
✓	4.8b	(pow.f64 (.f64 -4 (.f64 c a)) 3/2)
✓	17.9b	(cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))

Compiler

Compiled 59 to 35 computations (40.7% saved)

series17.0ms (0.1%)

Counts

4 → 38

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))
1.0ms	b	@	0	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))) (/.f64 -1/2 a))
1.0ms	a	@	inf	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))) (/.f64 -1/2 a))
1.0ms	c	@	inf	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))) (/.f64 -1/2 a))
1.0ms	c	@	0	(cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`prod-diff_binary64`
710×	`log-prod_binary64`
292×	`fma-def_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	310	44
2	3979	44

Stop Event

1×	node limit

Counts

4 → 122

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3/2))
(pow.f64 (.f64 -4 (.f64 c a)) 3/2)
(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 -4 (*.f64 c a)) 3/2))) (/.f64 -1/2 a))
(.f64 -4 (.f64 c a))

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-neg_binary64`
644×	`div-sub_binary64`
534×	`fma-def_binary64`
467×	`exp-sum_binary64`
357×	`exp-diff_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	615
1	148	615
2	366	543
3	877	471
4	2348	471
5	6068	471

Stop Event

1×	node limit

Counts

160 → 134

Calls

Call 1

Inputs
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(.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 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))

Outputs
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(.f64 (pow.f64 c 3/2) (pow.f64 (.f64 -4 a) 3/2))
(pow.f64 (.f64 (.f64 a -4) c) 3/2)
(.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 a)))
(fma.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 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b 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 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b 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 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) 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 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b 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 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b 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 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) 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 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b 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 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b 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 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (.f64 -1/2 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)

eval594.0ms (3.8%)

Compiler: Compiled 23421 to 13537 computations (42.2% saved)

prune216.0ms (1.4%)

Pruning

43 alts after pruning (34 fresh and 9 done)

	Pruned	Kept	Total
New	954	17	971
Fresh	12	17	29
Picked	1	0	1
Done	3	9	12
Total	970	43	1013

Error

0.0b

Counts

1013 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	62.6b	(/.f64 1 (/.f64 (*.f64 a (/.f64 c b)) c))
	49.1b	(/.f64 (/.f64 (.f64 a (.f64 -4 c)) (.f64 (/.f64 -1/2 b) (.f64 a (.f64 c -4)))) (.f64 2 a))
	42.4b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (*.f64 2 c) b) a) b)) (/.f64 -1/2 a))
	54.4b	(.f64 (-.f64 b (pow.f64 (.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2)) (/.f64 -1/2 a))
	49.4b	(/.f64 1 (.f64 (-.f64 (.f64 a c) (.f64 b b)) (/.f64 1 (.f64 c b))))
	40.7b	(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
✓	62.4b	(/.f64 b a)
✓	42.0b	(neg.f64 (/.f64 b a))
✓	38.0b	(/.f64 (/.f64 (.f64 a (.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))))) (*.f64 2 a))
	37.8b	(/.f64 (.f64 (.f64 -4 c) (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (.f64 2 a))
	51.3b	(.f64 (-.f64 b (.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (/.f64 -1/2 a))
	47.0b	(/.f64 1 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a c) (.f64 b b))) 3) b) c))
	42.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	62.6b	(/.f64 1 (/.f64 (/.f64 (*.f64 c a) b) c))
	46.8b	(.f64 (/.f64 b (-.f64 (.f64 a c) (*.f64 b b))) c)
	45.4b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
	54.5b	(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 3) -1/3)
✓	35.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	42.0b	(/.f64 1 (/.f64 (neg.f64 a) b))
	54.4b	(.f64 (-.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
	49.2b	(.f64 (/.f64 1 (-.f64 (.f64 a c) (.f64 b b))) (.f64 c b))
	46.0b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (.f64 (*.f64 c -4) a))) -1/2)))
	46.0b	(/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2))
	46.1b	(/.f64 (.f64 (.f64 (/.f64 -2 b) a) c) (*.f64 2 a))
	51.7b	(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
✓	41.0b	(/.f64 (neg.f64 c) b)
✓	35.2b	(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	41.0b	(/.f64 1 (/.f64 (neg.f64 b) c))
	63.1b	(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
	62.4b	(/.f64 1 (/.f64 a b))
✓	47.2b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	40.7b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a (/.f64 b c)) b)) 3) c))
	50.9b	(/.f64 1 (/.f64 (-.f64 c (.f64 (/.f64 b a) b)) (.f64 (/.f64 b a) c)))
	49.2b	(/.f64 1 (/.f64 1 (/.f64 (.f64 b c) (-.f64 (.f64 a c) (*.f64 b b)))))
	45.4b	(.f64 (/.f64 -1/2 a) (-.f64 b (hypot.f64 b (pow.f64 (.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2))))
✓	40.4b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
✓	46.0b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	42.1b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	40.7b	(pow.f64 (cbrt.f64 (/.f64 c (-.f64 (/.f64 a (/.f64 b c)) b))) 3)
	47.0b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 (.f64 c -4) a))) (+.f64 (sqrt.f64 (.f64 (.f64 c -4) a)) b))
	40.5b	(/.f64 1 (*.f64 (/.f64 1 c) (-.f64 (/.f64 a (/.f64 b c)) b)))
	45.4b	(/.f64 (/.f64 -2 (.f64 (/.f64 b c) (/.f64 1 a))) (.f64 2 a))
	54.4b	(.f64 (-.f64 b (.f64 (pow.f64 (pow.f64 c 1/4) 2) (pow.f64 (pow.f64 (*.f64 a -4) 1/4) 2))) (/.f64 -1/2 a))

Compiler

Compiled 670 to 473 computations (29.4% saved)

regimes2.8s (17.9%)

Accuracy

Total -56.3b remaining (-735.5%)

Threshold costs -56.3b (-735.5%)

Counts

91 → 4

Calls

Call 1

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

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

Calls

4 calls:

1.2s	c
1.1s	a
306.0ms	b
186.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Results

Error	Segments	Branch
24.7b	6	`a`
7.7b	4	`b`
26.0b	7	`c`
14.2b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 1334 to 768 computations (42.4% saved)

bsearch312.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
144.0ms	4.9268994354393945e-45	1.402918575580104e-41
35.0ms	9.629854731825918e-253	1.6544684621199694e-247
131.0ms	-9.8453255890464e+113	-1.5971187193829166e+113

Compiler

Compiled 1023 to 723 computations (29.3% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

84×	`distribute-rgt-neg-in_binary64`
62×	`cancel-sign-sub-inv_binary64`
57×	`distribute-lft-neg-out_binary64`
57×	`neg-sub0_binary64`
57×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	115
1	87	111
2	128	109
3	171	109
4	223	109
5	261	109
6	294	109
7	337	109
8	398	109
9	482	109
10	559	109
11	620	109
12	655	109
13	672	109
14	676	109

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 b -159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768) (neg.f64 (/.f64 b a)) (if (<=.f64 b 5195653297745273/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (if (<=.f64 b 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (*.f64 (*.f64 -4 c) (*.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (*.f64 2 a)) (/.f64 1 (/.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c b)) (*.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 c b)))))))

(/.f64 b a)

Outputs
(if (<=.f64 b -159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768) (neg.f64 (/.f64 b a)) (if (<=.f64 b 5195653297745273/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (if (<=.f64 b 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (.f64 (.f64 -4 c) (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -4 c)))))))) (.f64 2 a)) (/.f64 1 (/.f64 (-.f64 (.f64 (neg.f64 a) (/.f64 c b)) (.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 c b)))))))
(if (<=.f64 b -159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768) (/.f64 (neg.f64 b) a) (if (<=.f64 b 5195653297745273/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2)) (if (<=.f64 b 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (.f64 (.f64 c -4) (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (.f64 a 2)) (/.f64 1 (/.f64 (-.f64 (.f64 (neg.f64 a) (/.f64 c b)) (neg.f64 b)) (.f64 (neg.f64 b) (/.f64 c b)))))))
(if (<=.f64 b -159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768) (/.f64 (neg.f64 b) a) (if (<=.f64 b 5195653297745273/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2)) (if (<=.f64 b 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (.f64 (.f64 c -4) (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (.f64 a 2)) (/.f64 1 (/.f64 (+.f64 b (.f64 a (neg.f64 (/.f64 c b)))) (.f64 (neg.f64 b) (/.f64 c b)))))))
(if (<=.f64 b -159999999999999988819189550820870356554773304022236295881854349786355677325294622460191417390308071481235648544768) (/.f64 (neg.f64 b) a) (if (<=.f64 b 5195653297745273/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2)) (if (<=.f64 b 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (/.f64 (.f64 (.f64 c -4) (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))) (.f64 a 2)) (/.f64 1 (/.f64 (-.f64 b (.f64 a (/.f64 c b))) (.f64 b (/.f64 (neg.f64 c) b)))))))
(/.f64 b a)

Compiler

Compiled 79 to 52 computations (34.2% saved)

soundness692.0ms (4.4%)

Algorithm

4×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
870×	`times-frac_binary64`
852×	`fma-def_binary64`
805×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202
0	127	1410
1	401	1194
2	1688	1122
0	15	26
1	34	22
2	69	22
3	161	22
4	257	22
5	415	22
6	730	22
7	1322	22
8	2632	22
9	3914	22
10	5780	22
11	6909	22
12	7751	22
13	7839	22
0	216	1792
1	667	1419
2	2713	1360
3	6817	1353

Stop Event

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

Compiler

Compiled 541 to 387 computations (28.5% saved)

end269.0ms (1.7%)

Compiler: Compiled 76 to 49 computations (35.5% saved)

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

Iter	Nodes	Cost
0	46	115
1	87	111
2	128	109
3	171	109
4	223	109
5	261	109
6	294	109
7	337	109
8	398	109
9	482	109
10	559	109
11	620	109
12	655	109
13	672	109
14	676	109

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	46	115
1	87	111
2	128	109
3	171	109
4	223	109
5	261	109
6	294	109
7	337	109
8	398	109
9	482	109
10	559	109
11	620	109
12	655	109
13	672	109
14	676	109

Details

analyze429.0ms (2.7%)

sample2.6s (16.2%)

preprocess86.0ms (0.5%)

simplify106.0ms (0.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize27.0ms (0.2%)

series30.0ms (0.2%)

rewrite102.0ms (0.6%)

simplify68.0ms (0.4%)

localize25.0ms (0.2%)

series19.0ms (0.1%)

rewrite123.0ms (0.8%)

simplify69.0ms (0.4%)

eval336.0ms (2.1%)

prune142.0ms (0.9%)

localize57.0ms (0.4%)

series204.0ms (1.3%)

rewrite179.0ms (1.1%)

simplify96.0ms (0.6%)

localize5.0ms (0%)

localize30.0ms (0.2%)

series15.0ms (0.1%)

rewrite73.0ms (0.5%)

simplify36.0ms (0.2%)

localize50.0ms (0.3%)

series14.0ms (0.1%)

rewrite103.0ms (0.7%)

simplify75.0ms (0.5%)

localize42.0ms (0.3%)

series75.0ms (0.5%)

rewrite128.0ms (0.8%)

simplify163.0ms (1%)

eval1.1s (6.9%)

prune291.0ms (1.8%)

localize50.0ms (0.3%)

series188.0ms (1.2%)

rewrite109.0ms (0.7%)

simplify118.0ms (0.7%)

localize8.0ms (0%)

localize10.0ms (0.1%)

series9.0ms (0.1%)

rewrite82.0ms (0.5%)

simplify91.0ms (0.6%)

localize98.0ms (0.6%)

series32.0ms (0.2%)

rewrite235.0ms (1.5%)

simplify163.0ms (1%)

localize156.0ms (1%)

series38.0ms (0.2%)

rewrite117.0ms (0.7%)

simplify56.0ms (0.4%)

eval784.0ms (5%)

prune340.0ms (2.2%)

localize30.0ms (0.2%)

series146.0ms (0.9%)

rewrite110.0ms (0.7%)

simplify90.0ms (0.6%)

localize5.0ms (0%)

localize13.0ms (0.1%)

series92.0ms (0.6%)

rewrite139.0ms (0.9%)

simplify124.0ms (0.8%)

localize20.0ms (0.1%)

series17.0ms (0.1%)

rewrite103.0ms (0.7%)

simplify209.0ms (1.3%)

localize31.0ms (0.2%)

series17.0ms (0.1%)

rewrite88.0ms (0.6%)

simplify73.0ms (0.5%)

eval594.0ms (3.8%)

prune216.0ms (1.4%)

regimes2.8s (17.9%)

bsearch312.0ms (2%)

simplify23.0ms (0.1%)

soundness692.0ms (4.4%)

end269.0ms (1.7%)

Profiling

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	46	115
1	87	111
2	128	109
3	171	109
4	223	109
5	261	109
6	294	109
7	337	109
8	398	109
9	482	109
10	559	109
11	620	109
12	655	109
13	672	109
14	676	109