Details

analyze585.0ms (4%)

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample3.5s (24%)

Results

1.5s	5567×	body	256	valid
776.0ms	1167×	body	2048	valid
374.0ms	415×	body	4096	valid
373.0ms	743×	body	1024	valid
172.0ms	1012×	body	256	invalid
142.0ms	576×	body	256	infinite
102.0ms	364×	body	512	valid

Bogosity

preprocess87.0ms (0.6%)

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

36.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
▶	36.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 36 computations (41.9% saved)

series50.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

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

rewrite177.0ms (1.2%)

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

simplify78.0ms (0.5%)

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))))

localize24.0ms (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))
✓	0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	0.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	24.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 73 to 32 computations (56.2% saved)

series21.0ms (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	a	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

rewrite131.0ms (0.9%)

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

simplify76.0ms (0.5%)

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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(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))))

eval377.0ms (2.6%)

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

prune159.0ms (1.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	694	22	716
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	696	22	718

Error

5.4b

Counts

718 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	54.0b	(/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 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 a (.f64 c -4) (.f64 b b))))))
▶	46.3b	(neg.f64 (/.f64 b a))
	42.2b	(.f64 (.f64 (/.f64 (*.f64 2 c) b) a) (/.f64 -1/2 a))
▶	35.7b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
	47.0b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
▶	44.4b	(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
	36.7b	(/.f64 (neg.f64 c) b)
	46.4b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	40.8b	(.f64 (-.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
	47.2b	(/.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))))))
	44.8b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	49.3b	(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
▶	45.7b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
▶	46.5b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	56.5b	(*.f64 (-.f64 b b) (/.f64 -1/2 a))
	47.2b	(/.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))
	37.8b	(.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
	46.7b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (*.f64 2 c) b) a) b)) (/.f64 -1/2 a))
	37.0b	(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	46.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
	46.5b	(-.f64 (/.f64 c b) (/.f64 b a))
	56.7b	(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))

Compiler

Compiled 786 to 534 computations (32.1% saved)

localize32.0ms (0.2%)

Local error

Found 3 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)))
✓	13.7b	(sqrt.f64 (.f64 a (.f64 c -4)))

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)))

✓

13.7b

(sqrt.f64 (*.f64 a (*.f64 c -4)))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series78.0ms (0.5%)

Counts

3 → 24

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	c	@	0	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
8.0ms	c	@	inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
6.0ms	a	@	-inf	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
5.0ms	c	@	-inf	(/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2))
5.0ms	a	@	inf	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))

rewrite92.0ms (0.6%)

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	54
1	324	51
2	4245	51

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

(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

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

965×	`times-frac_binary64`
755×	`fma-def_binary64`
681×	`associate-/l*_binary64`
611×	`associate-/r*_binary64`
261×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	1244
1	539	965
2	2169	897

Stop Event

1×	node limit

Counts

148 → 172

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

localize5.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (/.f64 (.f64 c a) b))
✓	5.7b	(/.f64 (*.f64 c a) b)
✓	10.8b	(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series15.0ms (0.1%)

Counts

3 → 36

Calls

27 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`log-prod_binary64`
409×	`pow-prod-down_binary64`
310×	`pow2_binary64`
257×	`pow-unpow_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	240	30
2	3227	30

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

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

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

160 → 126

Calls

Call 1

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

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)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
✓	13.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series12.0ms (0.1%)

Counts

2 → 14

Calls

15 calls:

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

rewrite70.0ms (0.5%)

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	27
1	262	27
2	3479	27

Stop Event

1×	node limit

Counts

2 → 78

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))

Outputs

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

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	231
1	24	231
2	39	231
3	49	231
4	51	231
5	52	231

Stop Event

1×

saturated

Counts

92 → 84

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))

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
✓	0.2b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
✓	0.5b	(-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)))
✓	35.1b	(cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2))

Compiler

Compiled 77 to 42 computations (45.5% saved)

series205.0ms (1.4%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
117.0ms	b	@	-inf	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
52.0ms	b	@	0	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
9.0ms	a	@	inf	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
2.0ms	b	@	0	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)
2.0ms	b	@	inf	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)

rewrite123.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`prod-diff_binary64`
688×	`log-prod_binary64`
313×	`fma-def_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	325	65
2	4100	62

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify176.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

452×	`fma-def_binary64`
371×	`distribute-rgt-in_binary64`
366×	`distribute-lft-in_binary64`
342×	`distribute-rgt-out_binary64`
306×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	4188
1	1325	3872
2	5298	3510

Stop Event

1×	node limit

Counts

303 → 345

Calls

Call 1

Inputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(.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))))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (*.f64 a b))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (*.f64 a b)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (.f64 -6 (.f64 c (.f64 a b))) (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 72 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 -36 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -32 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) (pow.f64 b 3))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -9/1024 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 9/512 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/128 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c)))))) (pow.f64 a 3)) (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (*.f64 a b))))
(+.f64 (pow.f64 b 3) (+.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 b 3) (+.f64 (.f64 18 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -12 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))))) (.f64 -6 (.f64 c (*.f64 a b)))))
(+.f64 (.f64 (+.f64 (.f64 -36 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 -32 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 72 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) (.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 b 3) (+.f64 (.f64 18 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -12 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))))) (.f64 -6 (.f64 c (.f64 a b))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (.f64 c a))) (/.f64 (.f64 (+.f64 (.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -64) (pow.f64 b 2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -64) (pow.f64 b 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (+.f64 (.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -64) (pow.f64 b 2)))) (.f64 1/1024 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -64) (pow.f64 b 6)))))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (*.f64 a b))))
(+.f64 (.f64 18 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (.f64 -12 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (*.f64 a b))))))
(+.f64 (.f64 72 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 18 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (.f64 -12 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (.f64 -36 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (.f64 -6 (.f64 c (.f64 a b))) (.f64 -32 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)))))))))
(*.f64 -1 (pow.f64 b 3))
(+.f64 (.f64 6 (.f64 c (.f64 a b))) (.f64 -1 (pow.f64 b 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (.f64 6 (.f64 c (.f64 a b))) (*.f64 -1 (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (.f64 6 (.f64 c (.f64 a b))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -36 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 72 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 3))) (.f64 -1 (pow.f64 b 3)))))

Outputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 -2 c) a) b)) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) 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)
(+.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))
(+.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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 -2 c) a) b)) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) b))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (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 b (/.f64 (sqrt.f64 -4) b)) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(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 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 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 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(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 1/16 (.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 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 -2 c) a) b)) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) b))
(*.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))
(fma.f64 (*.f64 (/.f64 c b) a) 2 (neg.f64 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -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)
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(.f64 (sqrt.f64 -64) (+.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (.f64 (sqrt.f64 (.f64 c a)) -3/8) (.f64 b b))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -64) (pow.f64 b 2))))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (fma.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 b 4) (sqrt.f64 -64))) (.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (*.f64 b b) (sqrt.f64 -64))))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (fma.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (.f64 b b) (sqrt.f64 -64))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (*.f64 (pow.f64 b 4) (sqrt.f64 -64)) 3/128))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (.f64 (sqrt.f64 -64) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 c a)) -3/8) (.f64 b b)) (.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) 3/128) (pow.f64 b 4)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (+.f64 (.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 -64) (pow.f64 b 2)))) (.f64 1/1024 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -64) (pow.f64 b 6)))))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (fma.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 b 4) (sqrt.f64 -64))) (fma.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (.f64 b b) (sqrt.f64 -64))) (.f64 1/1024 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (pow.f64 b 6) (sqrt.f64 -64)))))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64) (fma.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 b 4) (sqrt.f64 -64))) (fma.f64 -3/8 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (.f64 b b) (sqrt.f64 -64))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (.f64 (*.f64 (pow.f64 b 6) (sqrt.f64 -64)) 1/1024)))))
(+.f64 (.f64 (sqrt.f64 -64) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 c a)) -3/8) (.f64 b b)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) 1/1024) (pow.f64 b 6)))) (.f64 (sqrt.f64 -64) (+.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) 3/128) (pow.f64 b 4)))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (*.f64 a b))))
(+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (*.f64 b a))))
(fma.f64 -6 (.f64 b (.f64 c a)) (pow.f64 b 3))
(+.f64 (.f64 18 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (.f64 -12 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (*.f64 a b))))))
(fma.f64 18 (/.f64 (.f64 c c) (/.f64 b (.f64 a a))) (fma.f64 -12 (/.f64 (.f64 c c) (/.f64 b (.f64 a a))) (+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (*.f64 b a))))))
(+.f64 (fma.f64 -6 (.f64 b (.f64 c a)) (pow.f64 b 3)) (.f64 (.f64 (/.f64 (.f64 c c) b) (.f64 a a)) 6))
(+.f64 (.f64 72 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 18 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (.f64 -12 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (.f64 -36 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (.f64 -6 (.f64 c (.f64 a b))) (.f64 -32 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)))))))))
(fma.f64 72 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)) (fma.f64 18 (/.f64 (.f64 c c) (/.f64 b (.f64 a a))) (fma.f64 -12 (/.f64 (.f64 c c) (/.f64 b (.f64 a a))) (fma.f64 -36 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)) (+.f64 (pow.f64 b 3) (fma.f64 -6 (.f64 c (.f64 b a)) (.f64 -32 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)))))))))
(fma.f64 72 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (+.f64 (fma.f64 -32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 c (.f64 (.f64 b a) -6))) (fma.f64 -36 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (pow.f64 b 3))) (.f64 (.f64 (/.f64 (.f64 c c) b) (*.f64 a a)) 6)))
(fma.f64 72 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (+.f64 (fma.f64 -6 (.f64 b (.f64 c a)) (pow.f64 b 3)) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) -68)) (.f64 (.f64 (/.f64 (.f64 c c) b) (*.f64 a a)) 6)))
(*.f64 -1 (pow.f64 b 3))
(neg.f64 (pow.f64 b 3))
(+.f64 (.f64 6 (.f64 c (.f64 a b))) (.f64 -1 (pow.f64 b 3)))
(fma.f64 6 (.f64 c (.f64 b a)) (neg.f64 (pow.f64 b 3)))
(-.f64 (.f64 c (.f64 (*.f64 b a) 6)) (pow.f64 b 3))
(fma.f64 c (.f64 (.f64 b a) 6) (neg.f64 (pow.f64 b 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (.f64 6 (.f64 c (.f64 a b))) (*.f64 -1 (pow.f64 b 3))))
(fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 6) b) (fma.f64 6 (.f64 c (.f64 b a)) (neg.f64 (pow.f64 b 3))))
(-.f64 (-.f64 (.f64 c (.f64 (.f64 b a) 6)) (pow.f64 b 3)) (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 b 6)))
(-.f64 (fma.f64 c (.f64 (.f64 b a) 6) (neg.f64 (pow.f64 b 3))) (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 b 6)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (.f64 6 (.f64 c (.f64 a b))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 -36 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 72 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 3))) (.f64 -1 (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 6) b) (fma.f64 6 (.f64 c (.f64 b a)) (fma.f64 -1 (/.f64 (fma.f64 -32 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 36)) (pow.f64 b 3)) (neg.f64 (pow.f64 b 3)))))
(-.f64 (-.f64 (-.f64 (.f64 c (.f64 (.f64 b a) 6)) (/.f64 (.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 3))) (pow.f64 b 3)) (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 b 6)))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -6) b) (-.f64 (fma.f64 c (.f64 (.f64 b a) 6) (/.f64 (.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 3))) (pow.f64 b 3)))

eval565.0ms (3.9%)

Compiler: Compiled 19113 to 12271 computations (35.8% saved)

prune259.0ms (1.8%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	702	25	727
Fresh	10	7	17
Picked	1	0	1
Done	2	2	4
Total	715	34	749

Error

0.2b

Counts

749 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	47.6b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 (.f64 c -4) a))) (+.f64 (sqrt.f64 (.f64 (.f64 c -4) a)) b))
	47.0b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	56.9b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)))
	37.0b	(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	52.2b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 (*.f64 c -4) a) 3/2))) (/.f64 -1/2 a))
▶	54.2b	(.f64 (-.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
	45.2b	(.f64 (.f64 2 (.f64 c (.f64 a (/.f64 1 b)))) (/.f64 -1/2 a))
	51.1b	(/.f64 (-.f64 (.f64 b b) (.f64 (.f64 c -4) a)) (.f64 (.f64 a -2) (+.f64 (sqrt.f64 (.f64 (*.f64 c -4) a)) b)))
	46.4b	(/.f64 1 (/.f64 (neg.f64 a) b))
	48.6b	(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (-.f64 (/.f64 c b) (/.f64 b a)))
	56.4b	(/.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)))))
	46.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
	46.5b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (.f64 (*.f64 c -4) a))) -1/2)))
	46.4b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	52.8b	(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a) 3) 1/3)
	44.8b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
▶	45.2b	(.f64 (/.f64 (.f64 c 2) (/.f64 b a)) (/.f64 -1/2 a))
	42.2b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)
	46.5b	(-.f64 (/.f64 c b) (/.f64 b a))
	46.3b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
	36.6b	(/.f64 1 (fma.f64 -1 (/.f64 b c) (/.f64 a b)))
	42.2b	(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) a) -1)))
	36.8b	(/.f64 1 (neg.f64 (/.f64 b c)))
✓	46.5b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
	59.4b	(/.f64 -1/2 (/.f64 a b))
	56.5b	(*.f64 (-.f64 b b) (/.f64 -1/2 a))
	61.7b	(.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (.f64 a b)))))) (/.f64 -1/2 a))
▶	35.8b	(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) -1/2)) 1) (/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2)) a))
✓	46.3b	(neg.f64 (/.f64 b a))
	43.7b	(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)))
▶	36.7b	(/.f64 (neg.f64 c) b)
	46.7b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (*.f64 2 c) b) a) b)) (/.f64 -1/2 a))
▶	46.5b	(/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2))
	41.6b	(/.f64 (.f64 (/.f64 -1/2 a) (.f64 2 (*.f64 c a))) b)

Compiler

Compiled 1066 to 760 computations (28.7% saved)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2))
✓	0.1b	(/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2)) a)
✓	0.2b	(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) -1/2)) 1) (/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2)) a))
✓	13.7b	(sqrt.f64 (.f64 c (.f64 -4 a)))

Compiler

Compiled 127 to 86 computations (32.3% saved)

series95.0ms (0.7%)

Counts

4 → 20

Calls

33 calls:

Time	Variable		Point	Expression
19.0ms	c	@	0	(/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2)) a)
7.0ms	c	@	-inf	(/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2)) a)
6.0ms	a	@	-inf	(/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2)) a)
5.0ms	a	@	inf	(/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2)) a)
4.0ms	c	@	inf	(/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2)) a)

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`log-prod_binary64`
605×	`prod-diff_binary64`
287×	`expm1-udef_binary64`
287×	`log1p-udef_binary64`
286×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	366	73
2	4421	73

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

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

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

870×	`associate-/r*_binary64`
737×	`fma-def_binary64`
607×	`associate-*r/_binary64`
523×	`associate-*l/_binary64`
278×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	1815
1	617	1446
2	2808	1364

Stop Event

1×	node limit

Counts

181 → 201

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.8b	(/.f64 (*.f64 c 2) (/.f64 b a))
✓	10.8b	(.f64 (/.f64 (.f64 c 2) (/.f64 b a)) (/.f64 -1/2 a))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
321×	`pow2_binary64`
277×	`pow-unpow_binary64`
259×	`log-div_binary64`
228×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	247	23
2	3570	23

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (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

207 → 139

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)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2))
✓	13.7b	(sqrt.f64 (.f64 (.f64 c -4) a))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series10.0ms (0.1%)

Counts

2 → 14

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	(/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2))
1.0ms	c	@	0	(sqrt.f64 (.f64 (.f64 c -4) a))
0.0ms	c	@	inf	(sqrt.f64 (.f64 (.f64 c -4) a))
0.0ms	a	@	inf	(sqrt.f64 (.f64 (.f64 c -4) a))
0.0ms	a	@	inf	(/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2))

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log-prod_binary64`
368×	`fma-def_binary64`
346×	`pow2_binary64`
242×	`pow1/3_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	265	27
2	3769	27

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	231
1	24	231
2	39	231
3	49	231
4	51	231
5	52	231

Stop Event

1×

saturated

Counts

108 → 100

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))

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 49 to 30 computations (38.8% saved)

series8.0ms (0.1%)

Counts

2 → 14

Calls

15 calls:

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

rewrite112.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`prod-diff_binary64`
685×	`log-prod_binary64`
251×	`fma-def_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	284	27
2	3674	27

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	231
1	24	231
2	39	231
3	49	231
4	51	231
5	52	231

Stop Event

1×

saturated

Counts

79 → 71

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))

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

eval639.0ms (4.4%)

Compiler: Compiled 16193 to 11174 computations (31% saved)

prune274.0ms (1.9%)

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	574	15	589
Fresh	6	21	27
Picked	1	0	1
Done	2	4	6
Total	583	40	623

Error

0.2b

Counts

623 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	45.2b	(/.f64 (.f64 c (.f64 2 (/.f64 a b))) (*.f64 a -2))
✓	46.3b	(neg.f64 (/.f64 b a))
▶	44.4b	(.f64 (.f64 (/.f64 2 b) (/.f64 c (/.f64 1 a))) (/.f64 -1/2 a))
	41.9b	(/.f64 (+.f64 c c) (/.f64 (/.f64 b a) (/.f64 -1/2 a)))
	56.6b	(.f64 (/.f64 1 (sqrt.f64 (.f64 a -2))) (/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (sqrt.f64 (*.f64 a -2))))
	47.6b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 (.f64 c -4) a))) (+.f64 (sqrt.f64 (.f64 (.f64 c -4) a)) b))
	47.0b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	43.7b	(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)))
▶	42.2b	(.f64 (.f64 (/.f64 c (/.f64 b 2)) a) (/.f64 -1/2 a))
	42.5b	(/.f64 (/.f64 (/.f64 (*.f64 c -1) a) b) (/.f64 1 a))
	43.5b	(/.f64 (/.f64 (*.f64 c -1) a) (/.f64 b a))
✓	36.7b	(/.f64 (neg.f64 c) b)
	56.9b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)))
	37.0b	(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	52.2b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 (*.f64 c -4) a) 3/2))) (/.f64 -1/2 a))
	51.1b	(/.f64 (-.f64 (.f64 b b) (.f64 (.f64 c -4) a)) (.f64 (.f64 a -2) (+.f64 (sqrt.f64 (.f64 (*.f64 c -4) a)) b)))
	46.4b	(/.f64 1 (/.f64 (neg.f64 a) b))
	48.6b	(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (-.f64 (/.f64 c b) (/.f64 b a)))
	51.1b	(/.f64 (-.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))) (*.f64 a -2))
	42.1b	(pow.f64 (cbrt.f64 (/.f64 (.f64 c -1) (.f64 a (/.f64 b a)))) 3)
	46.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
	45.2b	(/.f64 1 (/.f64 a (/.f64 (*.f64 c -1) (/.f64 b a))))
▶	46.7b	(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))
	46.5b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (.f64 (*.f64 c -4) a))) -1/2)))
	46.4b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	54.2b	(/.f64 (-.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -4 a)))) (*.f64 a -2))
✓	46.5b	(/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2))
	41.9b	(/.f64 1 (/.f64 (.f64 a (/.f64 b a)) (.f64 c -1)))
	46.8b	(.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a)))) 2) (.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a)))) (/.f64 -1/2 a)))
	44.8b	(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
	42.2b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)
	46.5b	(-.f64 (/.f64 c b) (/.f64 b a))
	46.3b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
▶	36.6b	(/.f64 1 (fma.f64 -1 (/.f64 b c) (/.f64 a b)))
	36.8b	(/.f64 1 (neg.f64 (/.f64 b c)))
✓	46.5b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
▶	59.4b	(/.f64 -1/2 (/.f64 a b))
	56.5b	(*.f64 (-.f64 b b) (/.f64 -1/2 a))
	46.7b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (*.f64 2 c) b) a) b)) (/.f64 -1/2 a))
	41.6b	(/.f64 (.f64 (/.f64 -1/2 a) (.f64 2 (*.f64 c a))) b)

Compiler

Compiled 1158 to 832 computations (28.2% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 13 computations (59.4% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`log-prod_binary64`
382×	`exp-prod_binary64`
302×	`prod-exp_binary64`
260×	`pow-prod-down_binary64`
260×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	202	14
2	2536	14

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

739×	`associate-*l/_binary64`
706×	`associate-/r/_binary64`
517×	`unswap-sqr_binary64`
496×	`associate-*r/_binary64`
343×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	1091
1	151	1067
2	576	1027
3	3324	1023

Stop Event

1×	node limit

Counts

78 → 57

Calls

Call 1

Inputs
(/.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 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))))))

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`pow1_binary64`
651×	`add-log-exp_binary64`
650×	`log1p-expm1-u_binary64`
650×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1769	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 (/.f64 c (/.f64 b 2)) a)
✓	10.8b	(.f64 (.f64 (/.f64 c (/.f64 b 2)) a) (/.f64 -1/2 a))

Compiler

Compiled 37 to 23 computations (37.8% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`log-prod_binary64`
414×	`pow-prod-down_binary64`
315×	`pow2_binary64`
270×	`pow-unpow_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	247	26
2	3332	26

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (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

139 → 71

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)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 c (/.f64 1 a))
✓	5.7b	(*.f64 (/.f64 2 b) (/.f64 c (/.f64 1 a)))
✓	10.8b	(.f64 (.f64 (/.f64 2 b) (/.f64 c (/.f64 1 a))) (/.f64 -1/2 a))

Compiler

Compiled 45 to 30 computations (33.3% saved)

series7.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log-prod_binary64`
354×	`pow2_binary64`
290×	`log-div_binary64`
280×	`pow-unpow_binary64`
251×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	289	30
2	3924	30

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

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

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

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

simplify39.0ms (0.3%)

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	672
1	21	672
2	41	672
3	74	672
4	110	672
5	129	672
6	137	672
7	158	672
8	244	672
9	344	672

Stop Event

1×

saturated

Counts

261 → 169

Calls

Call 1

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

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)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)
(*.f64 c a)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))
✓	1.0b	(pow.f64 (sqrt.f64 1/2) 2)

Compiler

Compiled 38 to 31 computations (18.4% saved)

series6.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))
2.0ms	a	@	-inf	(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))
1.0ms	a	@	0	(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))
1.0ms	a	@	inf	(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))
1.0ms	b	@	inf	(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
381×	`exp-prod_binary64`
270×	`cbrt-unprod_binary64`
251×	`pow2_binary64`
240×	`prod-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	235	8
2	2525	8

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

35 → 35

Calls

Call 1

Inputs

Outputs

eval150.0ms (1%)

Compiler: Compiled 4888 to 3017 computations (38.3% saved)

prune124.0ms (0.9%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	351	7	358
Fresh	8	23	31
Picked	0	1	1
Done	3	5	8
Total	362	36	398

Error

0.2b

Counts

398 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	41.9b	(/.f64 (+.f64 c c) (/.f64 (/.f64 b a) (/.f64 -1/2 a)))
	56.6b	(.f64 (/.f64 1 (sqrt.f64 (.f64 a -2))) (/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (sqrt.f64 (*.f64 a -2))))
	47.6b	(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (.f64 (.f64 c -4) a))) (+.f64 (sqrt.f64 (.f64 (.f64 c -4) a)) b))
	47.0b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	43.7b	(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)))
	53.5b	(expm1.f64 (log1p.f64 (/.f64 -1 (/.f64 a b))))
	42.5b	(/.f64 (/.f64 (/.f64 (*.f64 c -1) a) b) (/.f64 1 a))
	43.5b	(/.f64 (/.f64 (*.f64 c -1) a) (/.f64 b a))
✓	36.7b	(/.f64 (neg.f64 c) b)
	46.7b	(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (*.f64 2 c) b) a) b)) (/.f64 -1/2 a))
	36.9b	(pow.f64 (cbrt.f64 (fma.f64 -1 (/.f64 b c) (/.f64 a b))) -3)
	42.3b	(*.f64 (/.f64 a (/.f64 b (/.f64 c 1/2))) (/.f64 -1/2 a))
	56.9b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)))
	37.0b	(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
	52.2b	(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 (*.f64 c -4) a) 3/2))) (/.f64 -1/2 a))
	62.4b	(/.f64 b a)
	51.1b	(/.f64 (-.f64 (.f64 b b) (.f64 (.f64 c -4) a)) (.f64 (.f64 a -2) (+.f64 (sqrt.f64 (.f64 (*.f64 c -4) a)) b)))
	48.6b	(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (-.f64 (/.f64 c b) (/.f64 b a)))
	51.1b	(/.f64 (-.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))) (*.f64 a -2))
	46.4b	(/.f64 -1 (/.f64 a b))
	46.3b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
	45.2b	(/.f64 1 (/.f64 a (/.f64 (*.f64 c -1) (/.f64 b a))))
✓	46.7b	(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))
	46.5b	(/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (.f64 (*.f64 c -4) a))) -1/2)))
	46.4b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	54.2b	(/.f64 (-.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -4 a)))) (*.f64 a -2))
✓	46.5b	(/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2))
	42.2b	(/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)
	46.5b	(-.f64 (/.f64 c b) (/.f64 b a))
	47.7b	(-.f64 (+.f64 1 (/.f64 -1 (/.f64 a b))) 1)
	46.3b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
✓	36.6b	(/.f64 1 (fma.f64 -1 (/.f64 b c) (/.f64 a b)))
	54.1b	(pow.f64 (sqrt.f64 (/.f64 -1 (/.f64 a b))) 2)
✓	46.3b	(neg.f64 (/.f64 b a))
	46.8b	(.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a)))) 2) (.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a)))) (/.f64 -1/2 a)))
✓	46.5b	(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))

Compiler

Compiled 539 to 389 computations (27.8% saved)

regimes1.4s (9.9%)

Counts

71 → 3

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
(/.f64 -1 (/.f64 a b))
(/.f64 -1/2 (/.f64 a b))
(/.f64 -1/2 (/.f64 a b))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (neg.f64 (/.f64 b c)))
(.f64 (.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 1 (/.f64 -1 (/.f64 a b))) 1)
(/.f64 (/.f64 (*.f64 c -1) a) (/.f64 b a))
(/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)
(*.f64 (/.f64 a (/.f64 b (/.f64 c 1/2))) (/.f64 -1/2 a))
(/.f64 (.f64 c (.f64 2 (/.f64 a b))) (*.f64 a -2))
(/.f64 (+.f64 c c) (/.f64 (/.f64 b a) (/.f64 -1/2 a)))
(.f64 (.f64 (/.f64 c (/.f64 b 2)) a) (/.f64 -1/2 a))
(/.f64 (/.f64 (/.f64 (*.f64 c -1) a) b) (/.f64 1 a))
(/.f64 1 (/.f64 a (/.f64 (*.f64 c -1) (/.f64 b a))))
(/.f64 1 (/.f64 (.f64 a (/.f64 b a)) (.f64 c -1)))
(.f64 (/.f64 (.f64 c 2) (/.f64 b a)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (.f64 (.f64 (/.f64 c b) a) -1)))
(/.f64 (.f64 (/.f64 -1/2 a) (.f64 2 (*.f64 c a))) b)
(.f64 (.f64 (/.f64 (*.f64 2 c) b) a) (/.f64 -1/2 a))
(.f64 (.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (.f64 2 a))
(.f64 (.f64 (/.f64 2 b) (/.f64 c (/.f64 1 a))) (/.f64 -1/2 a))
(.f64 (.f64 2 (.f64 c (.f64 a (/.f64 1 b)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
(.f64 (-.f64 b (-.f64 (.f64 (/.f64 (*.f64 2 c) b) a) b)) (/.f64 -1/2 a))
(/.f64 1 (fma.f64 -1 (/.f64 b c) (/.f64 a b)))
(/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2))
(.f64 (-.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (.f64 (*.f64 c -4) a))) -1/2)))
(*.f64 (-.f64 b (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 -1/2 a))
(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (-.f64 (/.f64 c b) (/.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 -1/2 a) (-.f64 (.f64 b b) (.f64 (.f64 c -4) a))) (+.f64 (sqrt.f64 (.f64 (.f64 c -4) a)) b))
(/.f64 (-.f64 (.f64 b b) (.f64 (.f64 c -4) a)) (.f64 (.f64 a -2) (+.f64 (sqrt.f64 (.f64 (*.f64 c -4) a)) b)))
(expm1.f64 (log1p.f64 (/.f64 -1 (/.f64 a b))))
(pow.f64 (sqrt.f64 (/.f64 -1 (/.f64 a b))) 2)
(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))
(log.f64 (exp.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a)))
(pow.f64 (cbrt.f64 (/.f64 (.f64 c -1) (.f64 a (/.f64 b a)))) 3)
(/.f64 (-.f64 b (.f64 (sqrt.f64 (.f64 c -4)) (sqrt.f64 a))) (*.f64 a -2))
(/.f64 (-.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -4 a)))) (*.f64 a -2))
(.f64 (-.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (/.f64 -1/2 a))
(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 (/.f64 c b) a) -1) a) 3) 1/3)
(.f64 (-.f64 b (cbrt.f64 (pow.f64 (.f64 (*.f64 c -4) a) 3/2))) (/.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 a (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) -1/2)))
(.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 -6 (.f64 c (.f64 a b)))))) (/.f64 -1/2 a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(pow.f64 (cbrt.f64 (fma.f64 -1 (/.f64 b c) (/.f64 a b))) -3)
(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.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 a (.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a -2))) (/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (sqrt.f64 (*.f64 a -2))))
(/.f64 (.f64 (/.f64 -1/2 a) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
(/.f64 (/.f64 (-.f64 (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 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
(.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a)))) 2) (.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a)))) (/.f64 -1/2 a)))
(/.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)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) -1/2)) 1) (/.f64 (sqrt.f64 (.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)) -1/2)) a))
(/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 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 a (.f64 c -4) (.f64 b b))))))

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 (neg.f64 c) b)

Calls

4 calls:

574.0ms	a
353.0ms	b
343.0ms	c
126.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Results

Error	Segments	Branch
23.3b	9	`a`
8.3b	3	`b`
23.1b	7	`c`
12.6b	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 982 to 583 computations (40.6% saved)

bsearch384.0ms (2.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
225.0ms	4.992927549040355e-83	6.7795640901357626e-77
157.0ms	-2.1705331657627415e+94	-1.4463376101195925e+87

Compiler

Compiled 548 to 397 computations (27.6% saved)

regimes817.0ms (5.6%)

Counts

40 → 3

Calls

Call 1

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

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

Calls

3 calls:

441.0ms	c
178.0ms	a
173.0ms	b

Results

Error	Segments	Branch
29.8b	6	`a`
8.4b	3	`b`
27.8b	9	`c`

Compiler

Compiled 412 to 234 computations (43.2% saved)

bsearch235.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
153.0ms	4.992927549040355e-83	6.7795640901357626e-77
82.0ms	-1.4463376101195925e+87	-1.7166191954439306e+84

Compiler

Compiled 502 to 359 computations (28.5% saved)

regimes430.0ms (3%)

Counts

38 → 3

Calls

Call 1

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

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

Calls

3 calls:

215.0ms	c
112.0ms	b
87.0ms	a

Results

Error	Segments	Branch
32.9b	5	`a`
11.2b	3	`b`
28.6b	11	`c`

Compiler

Compiled 379 to 218 computations (42.5% saved)

bsearch151.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
121.0ms	4.992927549040355e-83	6.7795640901357626e-77
29.0ms	-4.057053348942624e-134	-1.7520442181586231e-134

Compiler

Compiled 377 to 276 computations (26.8% saved)

regimes291.0ms (2%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

3 calls:

159.0ms	c
84.0ms	a
34.0ms	b

Results

Error	Segments	Branch
34.2b	5	`a`
20.6b	2	`b`
31.2b	9	`c`

Compiler

Compiled 314 to 176 computations (43.9% saved)

bsearch40.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	-1.9901099980101037e-304	3.3056853100367506e-304

Compiler

Compiled 224 to 163 computations (27.2% saved)

regimes245.0ms (1.7%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

3 calls:

130.0ms	c
73.0ms	a
32.0ms	b

Results

Error	Segments	Branch
34.3b	5	`a`
20.6b	2	`b`
31.4b	9	`c`

Compiler

Compiled 304 to 172 computations (43.4% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	2.2355458991980716e-211	5.070422277238947e-211

Compiler

Compiled 106 to 79 computations (25.5% saved)

regimes13.0ms (0.1%)

Accuracy

Total -25.9b remaining (-70.6%)

Threshold costs -25.9b (-70.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	c
3.0ms	a
3.0ms	b

Results

Error	Segments	Branch
36.7b	1	`a`
36.7b	1	`b`
36.7b	1	`c`

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`+-commutative_binary64`
13×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	198
1	91	196
2	115	196
3	133	196
4	141	196
5	144	196
6	145	196

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (neg.f64 (/.f64 b a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1749999999999999939331887318798980461263126950300328198098706725417311697907956580352) (neg.f64 (/.f64 b a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 0) (neg.f64 (/.f64 b a)) (/.f64 1 (fma.f64 -1 (/.f64 b c) (/.f64 a b))))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 b a)

Outputs
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (neg.f64 (/.f64 b a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (/.f64 (neg.f64 b) a) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1449999999999999896983073842248417721080956811417291691834024142329246735238728884682752) (/.f64 (neg.f64 b) a) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a c) -4))) b) (.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1749999999999999939331887318798980461263126950300328198098706725417311697907956580352) (neg.f64 (/.f64 b a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1749999999999999939331887318798980461263126950300328198098706725417311697907956580352) (/.f64 (neg.f64 b) a) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 b (sqrt.f64 (.f64 (.f64 c -4) a))) (*.f64 a -2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -900182417171439/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 (-.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) (*.f64 a -2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 0) (neg.f64 (/.f64 b a)) (/.f64 1 (fma.f64 -1 (/.f64 b c) (/.f64 a b))))
(if (<=.f64 b 0) (/.f64 (neg.f64 b) a) (/.f64 1 (fma.f64 -1 (/.f64 b c) (/.f64 a b))))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 740298315191607/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 b a)

Compiler

Compiled 153 to 101 computations (34% saved)

soundness444.0ms (3.1%)

Algorithm

3×	egg-herbie

Rules

978×	`times-frac_binary64`
978×	`fma-def_binary64`
852×	`fma-def_binary64`
747×	`fma-neg_binary64`
695×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	184	2477
1	582	2367
2	2117	2202
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	408	4188
1	1325	3872
2	5298	3510

Stop Event

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

Compiler

Compiled 407 to 289 computations (29% saved)

end65.0ms (0.4%)

Compiler: Compiled 135 to 67 computations (50.4% saved)

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

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

Iter	Nodes	Cost
0	11	672
1	21	672
2	41	672
3	74	672
4	110	672
5	129	672
6	137	672
7	158	672
8	244	672
9	344	672

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

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

Iter	Nodes	Cost
0	11	672
1	21	672
2	41	672
3	74	672
4	110	672
5	129	672
6	137	672
7	158	672
8	244	672
9	344	672

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

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

Iter	Nodes	Cost
0	11	672
1	21	672
2	41	672
3	74	672
4	110	672
5	129	672
6	137	672
7	158	672
8	244	672
9	344	672