Details

analyze440.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	87.4%	6.4%	7
12.5%	81.1%	6.4%	8
18.3%	72.9%	8.7%	9
28.3%	58.3%	13.4%	10
33.7%	51.3%	15%	11
39.1%	42.9%	18.1%	12

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample2.5s (14.9%)

Results

2.0s	8256×	body	256	valid
508.0ms	1535×	body	256	invalid

preprocess78.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

666×	`associate-/l*_binary64`
623×	`fma-neg_binary64`
569×	`div-sub_binary64`
537×	`associate-/r*_binary64`
307×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	143	208
2	409	208
3	940	200
4	1726	200
5	3276	200
6	7774	200
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)) (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)) (/.f64 (.f64 2 b) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 a 2)) (/.f64 (.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (.f64 a 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (.f64 a 2)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) a)) (.f64 c (/.f64 -2 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 b 2)) (/.f64 (.f64 c 2) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c)))))))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4))))) (.f64 b 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))) a)) c))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4))))) (.f64 b 2)) (/.f64 c (/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (*.f64 c -4)))) a) 2)))
(if (>=.f64 a 0) (.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b)) (/.f64 c (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a))) a) 2)))
(if (>=.f64 a 0) (.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4))))) (/.f64 (.f64 c -2) (-.f64 a (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4))))))
(if (>=.f64 a 0) (.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) (/.f64 -1/2 b)) (.f64 2 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))) a))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)) (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 4 c))))) (.f64 c 2)) (/.f64 (.f64 a 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 4 c)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (.f64 c 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (.f64 c 2)) (.f64 a (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) c)) (.f64 a (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 b 0) (.f64 (/.f64 -1/2 c) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (.f64 a (/.f64 -2 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (/.f64 -1/2 c)) (.f64 a (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)) (/.f64 (.f64 2 b) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) (.f64 a 2)) (/.f64 (.f64 b 2) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a)))))))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 -4 (.f64 b a))))) (.f64 a 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 -4 (.f64 b a)))) c)) b))
(if (>=.f64 c 0) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) (.f64 a 2)) (.f64 b (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c))))
(if (>=.f64 c 0) (.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) a)) (.f64 b (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c))))
(if (>=.f64 c 0) (.f64 (/.f64 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))))) (/.f64 (.f64 b -2) (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))))))
(if (>=.f64 c 0) (.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) (/.f64 -1/2 a)) (/.f64 b (.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) -1/2)))

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def_binary64`
776×	`fma-neg_binary64`
609×	`div-sub_binary64`
512×	`times-frac_binary64`
375×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	123	52
3	304	50
4	545	50
5	990	50
6	2054	50
7	3576	50
8	4877	50
9	6321	50
10	7745	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2)) (/.f64 (.f64 c 2) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (.f64 a 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 -4 c))))) (.f64 a 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 -4 c)))) b)))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b))))
(if (>=.f64 b 0) (.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))))) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b))))
(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (/.f64 -1/2 a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) a)) (.f64 -2 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))

eval1.0ms (0%)

Compiler: Compiled 75 to 46 computations (38.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

20.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Status

Error

Program

▶

20.3b

(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series51.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
28.0ms	a	@	-inf	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
2.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
2.0ms	c	@	0	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite170.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`fma-def_binary64`
690×	`log-prod_binary64`
416×	`fma-neg_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4360	53

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

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

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

simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
708×	`fma-def_binary64`
688×	`associate-r_binary64`
650×	`associate-l_binary64`
443×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1483	2157

Stop Event

1×	node limit

Counts

512 → 476

Calls

Call 1

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

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

eval1.3s (7.5%)

Compiler: Compiled 37536 to 22597 computations (39.8% saved)

prune197.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	717	12	729
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	718	12	730

Error

5.5b

Counts

730 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.3b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	20.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	26.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	20.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
	23.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	20.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
▶	22.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	20.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))
	23.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
	31.3b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	19.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
	31.5b	(if (>=.f64 b 0) (/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Compiler

Compiled 1044 to 690 computations (33.9% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	3.3b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)))
✓	3.9b	(.f64 (/.f64 c b) (.f64 a 2))
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 167 to 86 computations (48.5% saved)

series17.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
431×	`fma-def_binary64`
318×	`fma-neg_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	302	30
2	4808	30

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1451
1	159	1427
2	595	1387
3	3324	1383

Stop Event

1×	node limit

Counts

147 → 92

Calls

Call 1

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

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

localize74.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
	0.9b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series24.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	c	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	a	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
1.0ms	b	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`log-prod_binary64`
734×	`fma-def_binary64`
379×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	342	22
2	4945	21

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-def_binary64`
857×	`times-frac_binary64`
549×	`associate-*l/_binary64`
530×	`associate-/l*_binary64`
529×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	871
1	555	790
2	2299	692

Stop Event

1×	node limit

Counts

68 → 78

Calls

Call 1

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

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

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	3.1b	(/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (*.f64 2 a))
	3.9b	(.f64 (/.f64 c b) (.f64 a 2))
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 153 to 83 computations (45.8% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`log-prod_binary64`
384×	`pow-prod-down_binary64`
310×	`pow2_binary64`
236×	`prod-diff_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	260	20
2	3173	20

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

506×	`fma-def_binary64`
266×	`fma-neg_binary64`
114×	`associate-/l*_binary64`
96×	`cancel-sign-sub-inv_binary64`
94×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	368
1	14	314
2	24	314
3	34	314
4	47	314
5	71	314
6	119	314
7	175	314
8	257	314
9	408	314
10	679	314
11	1121	314
12	1649	314
13	2104	314
14	2206	314
15	2210	314
16	2222	314
17	2232	314

Stop Event

1×

saturated

Counts

82 → 51

Calls

Call 1

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

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

localize78.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	9.6b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	23.9b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 194 to 113 computations (41.8% saved)

series66.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	b	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
7.0ms	c	@	-inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
4.0ms	c	@	-inf	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
3.0ms	c	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
2.0ms	a	@	0	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
389×	`pow-prod-down_binary64`
337×	`pow2_binary64`
279×	`fma-def_binary64`
233×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	307	40
2	3769	40

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/12) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 c a)) -4) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a -4)))) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 b b)) (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1))))))

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

625×	`fma-def_binary64`
489×	`associate-r_binary64`
394×	`*-commutative_binary64`
361×	`associate-l_binary64`
326×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	5758
1	1813	5038

Stop Event

1×	node limit

Counts

236 → 262

Calls

Call 1

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

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

localize102.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	23.2b	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	53.8b	(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))

Compiler

Compiled 254 to 141 computations (44.5% saved)

series17.0ms (0.1%)

Counts

2 → 44

Calls

15 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`prod-diff_binary64`
669×	`log-prod_binary64`
327×	`fma-def_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	293	40
2	3613	40

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac_binary64`
579×	`associate-/l*_binary64`
524×	`unswap-sqr_binary64`
452×	`associate-/r*_binary64`
322×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	755
1	380	607
2	1401	576
3	7230	576

Stop Event

1×	node limit

Counts

103 → 93

Calls

Call 1

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

Outputs
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 a (.f64 c -4)))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (*.f64 b b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (.f64 a -4)))) (.f64 b b)) (sqrt.f64 (.f64 c (.f64 a -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (sqrt.f64 (.f64 c (.f64 a -4))))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (.f64 b b)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (.f64 a -4)))) (.f64 (.f64 b b) 1/2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)) -64)) (pow.f64 b 4)) (sqrt.f64 (.f64 c (.f64 a -4)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 5))) (pow.f64 b 6))) (+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 5))) (pow.f64 b 6)) (+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (*.f64 b b))))))
(+.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (.f64 a -4)))) (.f64 (.f64 b b) 1/2))) (fma.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c (.f64 a -4)) 5)))) (pow.f64 b 6) (sqrt.f64 (.f64 c (*.f64 a -4)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c (.f64 a -4)) 5))) (.f64 1/16 (pow.f64 b 6)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)) -64)) (pow.f64 b 4)) (sqrt.f64 (.f64 c (*.f64 a -4))))))
b
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) b)) b)
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(+.f64 b (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 b (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3))) b)))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b)))
(+.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -1 b))
(fma.f64 -1/2 (/.f64 (.f64 a (.f64 c -4)) b) (neg.f64 b))
(-.f64 (.f64 (/.f64 a (/.f64 b (.f64 c -4))) -1/2) b)
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1 b (.f64 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 (/.f64 a (/.f64 b (.f64 c -4))) -1/2 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8) b))
(fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1 b (.f64 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (/.f64 a (/.f64 b (.f64 c -4))) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8) b)))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) -1/16 (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) b)
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(+.f64 b (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 b (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b)))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b)))
(+.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b)))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) b)
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(+.f64 b (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 b (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3))))))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b)))
(+.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b)))

eval2.5s (14.8%)

Compiler: Compiled 83034 to 50235 computations (39.5% saved)

prune362.0ms (2.2%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	1617	24	1641
Fresh	7	0	7
Picked	1	0	1
Done	3	1	4
Total	1628	25	1653

Error

3.7b

Counts

1653 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (*.f64 -4 c)) 1/4) 2))))
	31.0b	(if (>=.f64 b 0) (/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
✓	22.3b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	23.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	23.1b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
	38.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)))
	21.8b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
▶	38.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c) 3) 1/3))
	21.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	43.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	23.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
▶	20.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
▶	45.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
	38.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) c))
	25.5b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))
▶	39.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (pow.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 3) 1/3))
	31.9b	(if (>=.f64 b 0) (pow.f64 (sqrt.f64 (.f64 (fma.f64 b -2 (/.f64 c (/.f64 b (+.f64 a a)))) (/.f64 1/2 a))) 2) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	43.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
	38.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
	31.4b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))
	32.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
	28.0b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))))
▶	38.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (*.f64 2 (/.f64 c (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b)))))
	23.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
	36.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)))

Compiler

Compiled 1866 to 1262 computations (32.4% saved)

localize90.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(fma.f64 b b (.f64 c (.f64 a -4)))
	9.6b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
✓	12.3b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	23.9b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 169 to 106 computations (37.3% saved)

series9.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite128.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
607×	`log-prod_binary64`
289×	`fma-def_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	308	15
2	3773	15

Stop Event

1×	node limit

Counts

1 → 203

Calls

Call 1

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

Outputs

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1))))))

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

689×	`distribute-rgt-in_binary64`
392×	`fma-def_binary64`
342×	`distribute-rgt-out_binary64`
334×	`associate-r_binary64`
274×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	2722
1	1121	2444
2	5143	2240

Stop Event

1×	node limit

Counts

239 → 265

Calls

Call 1

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

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

localize15.0ms (0.1%)

Compiler: Compiled 47 to 21 computations (55.3% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.4b	(fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))
✓	3.3b	(/.f64 c (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b)))
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 157 to 62 computations (60.5% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
362×	`exp-prod_binary64`
291×	`pow-prod-down_binary64`
243×	`pow2_binary64`
192×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	205	29
2	3211	25

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(/.f64 c (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b)))
(fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))

Outputs

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

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

simplify150.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1114×	`associate-/l/_binary64`
900×	`associate-/r/_binary64`
527×	`times-frac_binary64`
517×	`unswap-sqr_binary64`
383×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	1614
1	175	1614
2	636	1525
3	3680	1520
4	4719	1520
5	4831	1520
6	5155	1520
7	5706	1520
8	6192	1520

Stop Event

1×	node limit

Counts

156 → 105

Calls

Call 1

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

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

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))
✓	3.4b	(*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c)
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	39.2b	(pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c) 3) 1/3)

Compiler

Compiled 197 to 83 computations (57.9% saved)

series52.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	a	@	inf	(pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c) 3) 1/3)
7.0ms	c	@	0	(pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c) 3) 1/3)
5.0ms	b	@	inf	(pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c) 3) 1/3)
4.0ms	b	@	-inf	(pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c) 3) 1/3)
4.0ms	c	@	inf	(pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c) 3) 1/3)

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary64`
353×	`pow2_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`
237×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	348	38
2	4444	34

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

647×	`associate-r_binary64`
472×	`times-frac_binary64`
455×	`associate-/r*_binary64`
441×	`associate-l_binary64`
438×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	481	5248
1	1765	4839

Stop Event

1×	node limit

Counts

143 → 115

Calls

Call 1

Inputs
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/3 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5))))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 c 3) (.f64 (pow.f64 b 2) (-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 b) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5)))) 2))))))) (+.f64 (/.f64 c b) (.f64 1/3 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5))))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 c 4) (.f64 (pow.f64 b 2) (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 a 3) (pow.f64 b 9))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 9))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 6)) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 6)))) a) (pow.f64 b 3))) (.f64 -4 (/.f64 (pow.f64 a 3) (pow.f64 b 9)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b 5)) 1/3) (.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 b) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5)))) 2)))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5))))))) (.f64 1/27 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5)))) 3)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 c 3) (.f64 (pow.f64 b 2) (-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 b) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5)))) 2))))))) (+.f64 (/.f64 c b) (.f64 1/3 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5))))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 b 5) (pow.f64 a 4))) (.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 4)))) c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))))
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(+.f64 (/.f64 b a) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 b 7) (pow.f64 c 2))) (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (/.f64 (pow.f64 b 6) (pow.f64 c 2))) b))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 b) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) 2)))) (.f64 (pow.f64 a 3) (pow.f64 b 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) (pow.f64 a 2)))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (pow.f64 b 3)) c)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 9) (pow.f64 c 3))) (+.f64 (.f64 -4 (/.f64 (pow.f64 b 9) (pow.f64 c 3))) (.f64 -2 (/.f64 (pow.f64 b 9) (pow.f64 c 3)))))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) 3) (pow.f64 b 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) (-.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 b 7) (pow.f64 c 2))) (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (/.f64 (pow.f64 b 6) (pow.f64 c 2))) b))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 b) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) 2))))))))) (.f64 (pow.f64 a 4) (pow.f64 b 2)))))))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) b) a))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3) (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) (pow.f64 a 2)))) (.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) a)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3) (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) (pow.f64 a 2)))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 b 7) (pow.f64 c 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (/.f64 (pow.f64 b 6) (pow.f64 c 2))) b)) (.f64 -1 (/.f64 (pow.f64 b 7) (pow.f64 c 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) b)) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) 2)))) (.f64 (pow.f64 a 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))))) (.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) b) a))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3) (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) (pow.f64 a 2)))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 b 7) (pow.f64 c 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (/.f64 (pow.f64 b 6) (pow.f64 c 2))) b)) (.f64 -1 (/.f64 (pow.f64 b 7) (pow.f64 c 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) b)) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) 2)))) (.f64 (pow.f64 a 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (pow.f64 b 3)) c)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 9) (pow.f64 c 3))) (+.f64 (.f64 -4 (/.f64 (pow.f64 b 9) (pow.f64 c 3))) (.f64 -2 (/.f64 (pow.f64 b 9) (pow.f64 c 3)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 b 5))) 1/3) (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 b 7) (pow.f64 c 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (/.f64 (pow.f64 b 6) (pow.f64 c 2))) b)) (.f64 -1 (/.f64 (pow.f64 b 7) (pow.f64 c 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) b)) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) 2))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 b 5))) 1/3) (.f64 (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 b 7) (pow.f64 c 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 c 2))) (/.f64 (pow.f64 b 6) (pow.f64 c 2))) b)) (.f64 -1 (/.f64 (pow.f64 b 7) (pow.f64 c 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) b)) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c)))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 5) c)) (.f64 -2 (/.f64 (pow.f64 b 5) c))) 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))))))) (.f64 (pow.f64 a 4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))))) (.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) a)))))
(/.f64 c b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (/.f64 c b) (/.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 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 c b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (.f64 -1 (/.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 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))))
(+.f64 (.f64 -1 (/.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 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (.f64 -1 (/.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 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))))
(+.f64 (.f64 -1 (/.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 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (.f64 -1 (/.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 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))))
(+.f64 (.f64 -1 (/.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 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))))
(/.f64 c b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (/.f64 c b) (/.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 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 c b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(/.f64 c b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (/.f64 c b) (/.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 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 c b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(/.f64 c b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (/.f64 c b) (/.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 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 c b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (.f64 -1 (/.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 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))))
(+.f64 (.f64 -1 (/.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 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (.f64 -1 (/.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 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))))
(+.f64 (.f64 -1 (/.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 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))))

Outputs
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/3 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5))))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))))
(+.f64 (/.f64 c b) (.f64 1/3 (.f64 (.f64 c c) (.f64 (.f64 (/.f64 a (pow.f64 b 5)) -3) (cbrt.f64 (.f64 b b))))))
(fma.f64 1/3 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 5)) (.f64 -3 (cbrt.f64 (*.f64 b b))))) (/.f64 c b))
(+.f64 (.f64 1/3 (.f64 (pow.f64 c 3) (.f64 (pow.f64 b 2) (-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 b) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5)))) 2))))))) (+.f64 (/.f64 c b) (.f64 1/3 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5))))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3)))))
(fma.f64 1/3 (.f64 (pow.f64 c 3) (.f64 (.f64 b b) (-.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b 7)) 6) (.f64 1/3 (.f64 (cbrt.f64 b) (pow.f64 (.f64 (/.f64 a (pow.f64 b 5)) -3) 2)))))) (+.f64 (/.f64 c b) (.f64 1/3 (.f64 (.f64 c c) (.f64 (.f64 (/.f64 a (pow.f64 b 5)) -3) (cbrt.f64 (.f64 b b)))))))
(fma.f64 1/3 (.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b 7)) 6 (.f64 (.f64 -1/3 (cbrt.f64 b)) (pow.f64 (/.f64 (.f64 a -3) (pow.f64 b 5)) 2))) (.f64 b (.f64 b (pow.f64 c 3)))) (fma.f64 1/3 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 5)) (.f64 -3 (cbrt.f64 (.f64 b b))))) (/.f64 c b)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 c 4) (.f64 (pow.f64 b 2) (-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 a 3) (pow.f64 b 9))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 9))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 6)) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 6)))) a) (pow.f64 b 3))) (.f64 -4 (/.f64 (pow.f64 a 3) (pow.f64 b 9)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 b 5)) 1/3) (.f64 (-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 b) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5)))) 2)))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5))))))) (.f64 1/27 (.f64 (pow.f64 b 2) (pow.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5)))) 3)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 c 3) (.f64 (pow.f64 b 2) (-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 7))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 7)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 b) 1/3) (pow.f64 (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5)))) 2))))))) (+.f64 (/.f64 c b) (.f64 1/3 (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 5))) (.f64 -2 (/.f64 a (pow.f64 b 5))))) (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3))))))
(fma.f64 1/3 (.f64 (pow.f64 c 4) (.f64 (.f64 b b) (-.f64 (fma.f64 -2 (/.f64 (pow.f64 a 3) (pow.f64 b 9)) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 9)) (fma.f64 -1 (/.f64 (.f64 3 (/.f64 (.f64 a a) (pow.f64 b 6))) (/.f64 (pow.f64 b 3) a)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 9)) -4)))) (fma.f64 2/3 (.f64 (cbrt.f64 (pow.f64 b 5)) (.f64 (.f64 (/.f64 a (pow.f64 b 5)) -3) (-.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b 7)) 6) (.f64 1/3 (.f64 (cbrt.f64 b) (pow.f64 (.f64 (/.f64 a (pow.f64 b 5)) -3) 2)))))) (.f64 1/27 (.f64 (.f64 b b) (pow.f64 (.f64 (/.f64 a (pow.f64 b 5)) -3) 3))))))) (fma.f64 1/3 (.f64 (pow.f64 c 3) (.f64 (.f64 b b) (-.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b 7)) 6) (.f64 1/3 (.f64 (cbrt.f64 b) (pow.f64 (.f64 (/.f64 a (pow.f64 b 5)) -3) 2)))))) (+.f64 (/.f64 c b) (.f64 1/3 (.f64 (.f64 c c) (.f64 (.f64 (/.f64 a (pow.f64 b 5)) -3) (cbrt.f64 (.f64 b b))))))))
(fma.f64 1/3 (.f64 (.f64 b b) (.f64 (-.f64 (+.f64 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 9)) -3) (-.f64 (/.f64 -4 (/.f64 (pow.f64 b 9) (pow.f64 a 3))) (.f64 (/.f64 (.f64 3 (/.f64 a (/.f64 (pow.f64 b 6) a))) (pow.f64 b 3)) a))) (fma.f64 1/27 (.f64 (.f64 b b) (pow.f64 (/.f64 (.f64 a -3) (pow.f64 b 5)) 3)) (.f64 (.f64 (/.f64 (.f64 a -3) (pow.f64 b 5)) (fma.f64 (/.f64 (.f64 a a) (pow.f64 b 7)) 6 (.f64 (.f64 -1/3 (cbrt.f64 b)) (pow.f64 (/.f64 (.f64 a -3) (pow.f64 b 5)) 2)))) (.f64 (cbrt.f64 (pow.f64 b 5)) 2/3)))) (pow.f64 c 4))) (fma.f64 1/3 (.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b 7)) 6 (.f64 (.f64 -1/3 (cbrt.f64 b)) (pow.f64 (/.f64 (.f64 a -3) (pow.f64 b 5)) 2))) (.f64 b (.f64 b (pow.f64 c 3)))) (fma.f64 1/3 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 5)) (.f64 -3 (cbrt.f64 (*.f64 b b))))) (/.f64 c b))))
(/.f64 b a)
(+.f64 (/.f64 b a) (.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 b 5) (pow.f64 a 4))) (.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 4)))) c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))))
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(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 c b) (/.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 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (+.f64 (/.f64 c b) (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (+.f64 (/.f64 c b) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(/.f64 b a)
(+.f64 (/.f64 b a) (.f64 -1 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (neg.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))))
(-.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))))
(+.f64 (/.f64 b a) (+.f64 (neg.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 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))))
(+.f64 (.f64 -1 (/.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 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (+.f64 (/.f64 b a) (+.f64 (neg.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 (/.f64 b a) (-.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.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 b a)
(+.f64 (/.f64 b a) (.f64 -1 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (neg.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))))
(-.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))))
(+.f64 (/.f64 b a) (+.f64 (neg.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 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))))
(+.f64 (.f64 -1 (/.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 (pow.f64 c 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (+.f64 (/.f64 b a) (+.f64 (neg.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 (/.f64 b a) (-.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3)
✓	0.6b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
✓	13.6b	(sqrt.f64 (.f64 c (.f64 a -4)))
✓	18.2b	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3) 1/3)

Compiler

Compiled 145 to 92 computations (36.6% saved)

series234.0ms (1.4%)

Counts

4 → 36

Calls

33 calls:

Time	Variable		Point	Expression
28.0ms	c	@	inf	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3) 1/3)
26.0ms	a	@	inf	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3) 1/3)
26.0ms	a	@	0	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3) 1/3)
23.0ms	a	@	inf	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
22.0ms	c	@	-inf	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) 3) 1/3)

rewrite144.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`log-prod_binary64`
584×	`prod-diff_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`
252×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	383	69
2	4561	69

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2)))) (cbrt.f64 (exp.f64 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (/.f64 1 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 -2 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 c (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 c (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2))) (pow.f64 (cbrt.f64 (/.f64 c (.f64 (-.f64 b 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simplify185.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-r_binary64`
457×	`associate-l_binary64`
415×	`fma-def_binary64`
391×	`*-commutative_binary64`
371×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	5596
1	1611	4184
2	7843	4172

Stop Event

1×	node limit

Counts

261 → 296

Calls

Call 1

Inputs
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (.f64 a (pow.f64 (sqrt.f64 -4) 2))) c) 1/3) (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 16 (/.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) b) (cbrt.f64 4)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 1/12 (/.f64 (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (pow.f64 b 2) (-.f64 (+.f64 (.f64 16 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 8 (/.f64 (.f64 c (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 8 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (sqrt.f64 -4)))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (sqrt.f64 1) (.f64 (/.f64 (pow.f64 (+.f64 (.f64 8 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 16 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) 2) (pow.f64 (cbrt.f64 4) 2)) (pow.f64 (sqrt.f64 -4) 1/3))))))))) c)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (.f64 a (pow.f64 (sqrt.f64 -4) 2))) c) 1/3) (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 16 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) b) (cbrt.f64 4))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 1/12 (/.f64 (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (pow.f64 b 2) (-.f64 (+.f64 (.f64 16 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 8 (/.f64 (.f64 c (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 8 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (sqrt.f64 -4)))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (sqrt.f64 1) (.f64 (/.f64 (pow.f64 (+.f64 (.f64 8 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 16 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) 2) (pow.f64 (cbrt.f64 4) 2)) (pow.f64 (sqrt.f64 -4) 1/3))))))))) c)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (.f64 a (pow.f64 (sqrt.f64 -4) 2))) c) 1/3) (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 16 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) b) (cbrt.f64 4)))) (.f64 1/12 (/.f64 (.f64 a (.f64 (-.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (.f64 -8 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (sqrt.f64 -4)))) (.f64 8 (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (sqrt.f64 -4)))) (+.f64 (.f64 -8 (/.f64 (.f64 c (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 16 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 (sqrt.f64 -4) 3)))) (.f64 2 (/.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 8 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 a 5) (pow.f64 c 5)) 1/6) (.f64 (sqrt.f64 1) (.f64 (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 16 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (-.f64 (+.f64 (.f64 16 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 5))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 8 (/.f64 (.f64 c (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 8 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (sqrt.f64 -4)))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 a c) 1/6) (.f64 (sqrt.f64 1) (.f64 (/.f64 (pow.f64 (+.f64 (.f64 8 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 16 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) 2) (pow.f64 (cbrt.f64 4) 2)) (pow.f64 (sqrt.f64 -4) 1/3))))))) (cbrt.f64 4)) (pow.f64 (pow.f64 (sqrt.f64 -4) 5) 1/3))))) (.f64 1/108 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 8 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 16 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) c)))) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (pow.f64 b 3)))) c)))))
(/.f64 (.f64 (cbrt.f64 64) b) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))
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(.f64 64 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))
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(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
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(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 c (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 1/4 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 7))) (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
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Outputs
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (.f64 a (pow.f64 (sqrt.f64 -4) 2))) c) 1/3) (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 16 (/.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) b) (cbrt.f64 4)))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) c))) (/.f64 (.f64 (/.f64 c (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 24) (/.f64 (cbrt.f64 4) b))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 (.f64 (/.f64 (/.f64 (.f64 c 24) (.f64 a (.f64 a 16))) (cbrt.f64 4)) b) (.f64 1/3 (cbrt.f64 (/.f64 a (/.f64 c -4))))))
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(fma.f64 8 (/.f64 (/.f64 (.f64 c c) a) (.f64 (pow.f64 (sqrt.f64 -4) 2) b)) (fma.f64 b (.f64 (/.f64 c (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 48) (fma.f64 4 (/.f64 (fma.f64 16 (/.f64 (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -1/8) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 c c)) (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) b))) (fma.f64 64 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (fma.f64 4 (/.f64 (fma.f64 4 (.f64 c (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -1/8)) (.f64 16 (/.f64 (fma.f64 2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)) (.f64 c c))) 2)) (.f64 c (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/4 (.f64 (.f64 c a) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -1/8))) (.f64 -1/16 (.f64 (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 c 3))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (pow.f64 b 3)))) (+.f64 (/.f64 (.f64 c (fma.f64 16 (/.f64 (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -1/8) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 c c))) (pow.f64 b 3)) (fma.f64 32 (/.f64 (fma.f64 2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)) (.f64 c c))) 2)) (.f64 c (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/4 (.f64 (.f64 c a) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -1/8))) (.f64 -1/16 (.f64 (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 c 3))))) (.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 3)))) (fma.f64 32 (/.f64 (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -1/8) (.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 -4) 4) b))) (.f64 16 (.f64 (/.f64 c a) (/.f64 (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (.f64 c c)) -1/8) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (pow.f64 b 3)))))))))))))
(+.f64 (+.f64 (+.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (/.f64 (.f64 -1 (/.f64 (fma.f64 c c (.f64 -4 (/.f64 (.f64 (.f64 c (.f64 c a)) 1/2) a))) a)) b)) (+.f64 (/.f64 (.f64 2 (/.f64 (fma.f64 2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 (.f64 c a) a)) -2) 2)) (.f64 c (.f64 a (.f64 a 16)))) (fma.f64 1/4 (.f64 (.f64 c (.f64 a -4)) (.f64 (.f64 c (.f64 c a)) 1/2)) (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1))) (.f64 a a))) (pow.f64 b 3)) (+.f64 (+.f64 (/.f64 (.f64 2 (/.f64 (.f64 (.f64 c (.f64 c a)) 1/2) (.f64 a a))) b) (/.f64 (.f64 -4 (/.f64 (.f64 (.f64 c (.f64 c a)) 1/2) (/.f64 a c))) (pow.f64 b 3))) (.f64 (/.f64 c (pow.f64 b 3)) (fma.f64 c c (.f64 -4 (/.f64 (.f64 (.f64 c (.f64 c a)) 1/2) a))))))) (/.f64 (.f64 -1 (/.f64 (fma.f64 4 (.f64 c (.f64 (.f64 c (.f64 c a)) 1/2)) (.f64 -4 (/.f64 (fma.f64 2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 (.f64 c a) a)) -2) 2)) (.f64 c (.f64 a (.f64 a 16)))) (fma.f64 1/4 (.f64 (.f64 c (.f64 a -4)) (.f64 (.f64 c (.f64 c a)) 1/2)) (.f64 (.f64 (.f64 a a) (pow.f64 c 3)) -1))) a))) a)) (pow.f64 b 3))) (fma.f64 b (.f64 (/.f64 c (.f64 a (.f64 a 16))) 48) (/.f64 (.f64 -2 (/.f64 (*.f64 c c) a)) b)))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 5))) (.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(.f64 -1 (+.f64 (/.f64 (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 c 4)) -3/4) (pow.f64 b 5)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3)) (/.f64 (.f64 (.f64 a (pow.f64 c 4)) 3) (pow.f64 b 5)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 c (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 1/4 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 7))) (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 c 4)) -3/4) (pow.f64 b 5)) (fma.f64 -1 (/.f64 (fma.f64 c (.f64 (.f64 (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 c 4)) 5/16) (.f64 (.f64 1/4 (pow.f64 c 5)) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (pow.f64 b 7)) (neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3)) (/.f64 (fma.f64 c (.f64 (.f64 (.f64 a a) (pow.f64 c 4)) 5) (.f64 (.f64 (.f64 a a) (pow.f64 c 5)) 4)) (pow.f64 b 7))) (/.f64 (.f64 (.f64 a (pow.f64 c 4)) 3) (pow.f64 b 5)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 a (.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 c (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -4 (.f64 c (+.f64 (.f64 1/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))))))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 6) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))))))))) (pow.f64 b 9))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 (pow.f64 c 4) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 c (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (.f64 1/4 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 7))) (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 c c) a) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 c 4)) 5/16))) (fma.f64 c (fma.f64 -1/16 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (.f64 (.f64 -4 c) (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) 5/128))) (fma.f64 -1/16 (.f64 (.f64 (pow.f64 c 6) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (.f64 (.f64 -2 (.f64 c c)) (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) 5/128))))) (pow.f64 b 9)) (fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 a (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 c 4)) -3/4) (pow.f64 b 5)) (fma.f64 -1 (/.f64 (fma.f64 c (.f64 (.f64 (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 c 4)) 5/16) (.f64 (.f64 1/4 (pow.f64 c 5)) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (pow.f64 b 7)) (neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3)) (/.f64 (fma.f64 c (.f64 (.f64 (.f64 a a) (pow.f64 c 4)) 5) (.f64 (.f64 (.f64 a a) (pow.f64 c 5)) 4)) (pow.f64 b 7))) (/.f64 (.f64 (.f64 a (pow.f64 c 4)) 3) (pow.f64 b 5))) (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 (.f64 a a) (.f64 16 (pow.f64 c 4))) -5/4) (.f64 c (.f64 c a))) (fma.f64 c (fma.f64 -4 (.f64 c (.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2)) (.f64 (.f64 (pow.f64 a 3) (pow.f64 c 5)) 4)) (fma.f64 -2 (.f64 c (.f64 c (.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2))) (.f64 (.f64 (pow.f64 a 3) (pow.f64 c 6)) 4)))) (pow.f64 b 9)))

eval1.7s (9.9%)

Compiler: Compiled 92754 to 60792 computations (34.5% saved)

prune273.0ms (1.6%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1457	11	1468
Fresh	7	12	19
Picked	1	0	1
Done	2	3	5
Total	1467	26	1493

Error

0.3b

Counts

1493 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (pow.f64 (/.f64 (.f64 c -2) (*.f64 2 b)) 3) 1/3))
	33.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a -4) 1/4) (pow.f64 c 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	31.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (*.f64 -4 c)) 1/4) 2))))
	31.0b	(if (>=.f64 b 0) (/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
✓	22.3b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	38.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)))
	36.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (sqrt.f64 c) (/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2) (sqrt.f64 c))))
	43.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (neg.f64 (*.f64 b (cbrt.f64 -1))) a))
▶	23.1b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
▶	21.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	40.3b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (.f64 2 (/.f64 c (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b)))))
	33.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (/.f64 -1 c) -1/4) (pow.f64 (.f64 a 4) 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
✓	20.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
✓	45.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
	38.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) c))
	40.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (pow.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))))) 3) 1/3))
	38.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (pow.f64 (pow.f64 (.f64 (/.f64 2 (.f64 2 (fma.f64 (/.f64 c b) a b))) c) 3) 1/3))
▶	31.9b	(if (>=.f64 b 0) (pow.f64 (sqrt.f64 (.f64 (fma.f64 b -2 (/.f64 c (/.f64 b (+.f64 a a)))) (/.f64 1/2 a))) 2) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	38.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
	31.4b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))
	22.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
	36.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)))
	32.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
	28.0b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))))
	23.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
	23.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))

Compiler

Compiled 1880 to 1299 computations (30.9% saved)

localize14.0ms (0.1%)

Compiler: Compiled 50 to 22 computations (56% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.1b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a))
	3.3b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)))
	3.9b	(.f64 (/.f64 c b) (.f64 a 2))
✓	5.8b	(/.f64 (*.f64 c a) b)

Compiler

Compiled 149 to 74 computations (50.3% saved)

series8.0ms (0%)

Counts

2 → 36

Calls

18 calls:

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log-prod_binary64`
340×	`fma-def_binary64`
267×	`pow1/3_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	288	27
2	4127	27

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

506×	`fma-def_binary64`
266×	`fma-neg_binary64`
120×	`associate-/l*_binary64`
96×	`cancel-sign-sub-inv_binary64`
94×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	368
1	14	314
2	24	314
3	34	314
4	47	314
5	71	314
6	119	314
7	175	314
8	257	314
9	408	314
10	679	314
11	1121	314
12	1656	314
13	2118	314
14	2220	314
15	2224	314
16	2236	314
17	2246	314

Stop Event

1×

saturated

Counts

129 → 98

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (.f64 c -2) (.f64 2 b)) 3)
✓	36.7b	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (.f64 2 b)) 3) 1/3)

Compiler

Compiled 87 to 57 computations (34.5% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	c	@	0	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (.f64 2 b)) 3) 1/3)
2.0ms	b	@	0	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (.f64 2 b)) 3) 1/3)
2.0ms	c	@	-inf	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (.f64 2 b)) 3) 1/3)
2.0ms	b	@	-inf	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (.f64 2 b)) 3) 1/3)
2.0ms	b	@	inf	(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (.f64 2 b)) 3) 1/3)

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
416×	`exp-prod_binary64`
312×	`pow-prod-down_binary64`
280×	`pow2_binary64`
225×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	272	17
2	3081	17

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (/.f64 (.f64 c -2) (.f64 2 b)) 3) 1/3)
(pow.f64 (/.f64 (.f64 c -2) (.f64 2 b)) 3)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 -1 (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c -2) (*.f64 (/.f64 1/2 b) (pow.f64 (*.f64 -1 (/.f64 c b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 c b)) (pow.f64 (*.f64 -1 (/.f64 c b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 -1 (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) (*.f64 -1 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 c b))) 2) (*.f64 (cbrt.f64 (*.f64 -1 (/.f64 c b))) (pow.f64 (*.f64 -1 (/.f64 c b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1 (/.f64 c b))) (pow.f64 (*.f64 -1 (/.f64 c b)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -2) 3) (pow.f64 (+.f64 b b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c 1/2) (*.f64 (/.f64 -2 b) (pow.f64 (*.f64 -1 (/.f64 c b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3/2) (pow.f64 (*.f64 -1 (/.f64 c b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c 1/2) 3) (pow.f64 (/.f64 -2 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) (*.f64 c -2)) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) 1) (*.f64 -1 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 5/2) (sqrt.f64 (*.f64 -1 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 -1 (/.f64 c b)) (cbrt.f64 (*.f64 -1 (/.f64 c b)))) 2) (cbrt.f64 (*.f64 -1 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) (*.f64 c 1/2)) (/.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 8 (pow.f64 b 3)) (pow.f64 (*.f64 c -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 -1 (/.f64 b c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) (*.f64 -1 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 c 3) (pow.f64 (/.f64 b -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 c -2) 3) (*.f64 8 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 c 2) 3) (pow.f64 (*.f64 -2 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 c -1) 3) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 c -2) 3)) (neg.f64 (*.f64 8 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (pow.f64 (*.f64 -1 (/.f64 c b)) 2)) (/.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c -2) (pow.f64 (*.f64 -1 (/.f64 c b)) 2)) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c 2) (pow.f64 (*.f64 -1 (/.f64 c b)) 2)) (*.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c -1) (pow.f64 (*.f64 -1 (/.f64 c b)) 2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) c) (/.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) (*.f64 c -2)) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) 1) (*.f64 -1 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) (*.f64 c 2)) (*.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 2) (/.f64 c -1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 -1 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1 (/.f64 c b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 -1 (/.f64 c b)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -1 (/.f64 c b)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 -1 (/.f64 c b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1 (/.f64 c b))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1 (/.f64 c b)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1 (/.f64 c b))) 3/2) 2))))))

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-def_binary64`
611×	`associate-/r/_binary64`
581×	`associate-l_binary64`
531×	`associate-r_binary64`
339×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	480
1	38	480
2	106	480
3	436	408
4	1966	408
5	5289	408
6	7596	408

Stop Event

1×	node limit

Counts

182 → 139

Calls

Call 1

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

Outputs
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(/.f64 (*.f64 c (cbrt.f64 -1)) b)
(/.f64 c (/.f64 b (cbrt.f64 -1)))
(*.f64 (/.f64 c b) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 c b))
(*.f64 c (/.f64 (cbrt.f64 -1) b))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))
(*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(neg.f64 (pow.f64 (/.f64 c b) 3))

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.3b	(*.f64 (fma.f64 b -2 (/.f64 c (/.f64 b (+.f64 a a)))) (/.f64 1/2 a))
✓	3.3b	(/.f64 c (/.f64 b (+.f64 a a)))
✓	6.4b	(sqrt.f64 (*.f64 (fma.f64 b -2 (/.f64 c (/.f64 b (+.f64 a a)))) (/.f64 1/2 a)))
	23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 191 to 89 computations (53.4% saved)

series16.0ms (0.1%)

Counts

3 → 84

Calls

27 calls:

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log-prod_binary64`
459×	`prod-diff_binary64`
223×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`
206×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	292	52
2	4295	52

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/r/_binary64`
477×	`associate-/r*_binary64`
445×	`times-frac_binary64`
432×	`cancel-sign-sub-inv_binary64`
426×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1433
1	296	1376
2	1003	1358
3	4990	1297
4	7231	1297

Stop Event

1×	node limit

Counts

199 → 145

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (/.f64 b a)))
(+.f64 (.f64 (/.f64 (.f64 c (sqrt.f64 1/2)) (sqrt.f64 -2)) (sqrt.f64 (/.f64 a (pow.f64 b 3)))) (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (/.f64 b a))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 c 2) (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 -2) 3)) (sqrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7))))) (+.f64 (.f64 (/.f64 (.f64 c (sqrt.f64 1/2)) (sqrt.f64 -2)) (sqrt.f64 (/.f64 a (pow.f64 b 3)))) (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (/.f64 b a)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 c 2) (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 -2) 3)) (sqrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7))))) (+.f64 (.f64 (/.f64 (.f64 c (sqrt.f64 1/2)) (sqrt.f64 -2)) (sqrt.f64 (/.f64 a (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 c 3) (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 -2) 5)) (sqrt.f64 (/.f64 (pow.f64 a 5) (pow.f64 b 11))))) (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (/.f64 b a))))))
(.f64 (sqrt.f64 (/.f64 c b)) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 (pow.f64 b 3) c)) (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) a)))) (.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 a 2))) (sqrt.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3))))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 (pow.f64 b 3) c)) (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) a)))) (.f64 (sqrt.f64 (/.f64 c b)) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 a 2))) (sqrt.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 a 3))) (sqrt.f64 (/.f64 (pow.f64 b 11) (pow.f64 c 5))))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 (pow.f64 b 3) c)) (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) a)))) (.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))
(.f64 (sqrt.f64 (/.f64 c b)) (.f64 (sqrt.f64 -2) (sqrt.f64 -1/2)))
(+.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 b 3) c)) (/.f64 (sqrt.f64 -1/2) (.f64 a (sqrt.f64 -2)))) (.f64 (sqrt.f64 (/.f64 c b)) (.f64 (sqrt.f64 -2) (sqrt.f64 -1/2))))
(+.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 b 3) c)) (/.f64 (sqrt.f64 -1/2) (.f64 a (sqrt.f64 -2)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3))) (/.f64 (sqrt.f64 -1/2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -2) 3))))) (.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1/2)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (pow.f64 b 11) (pow.f64 c 5))) (/.f64 (sqrt.f64 -1/2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -2) 5))))) (+.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 b 3) c)) (/.f64 (sqrt.f64 -1/2) (.f64 a (sqrt.f64 -2)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3))) (/.f64 (sqrt.f64 -1/2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -2) 3))))) (.f64 (sqrt.f64 (/.f64 c b)) (.f64 (sqrt.f64 -2) (sqrt.f64 -1/2))))))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))

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

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
✓	6.6b	(/.f64 (+.f64 c c) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (*.f64 b b))))
	13.6b	(sqrt.f64 (.f64 c (.f64 a -4)))
✓	18.8b	(-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (*.f64 b b)))

Compiler

Compiled 169 to 79 computations (53.3% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`prod-diff_binary64`
570×	`log-prod_binary64`
281×	`fma-def_binary64`
209×	`expm1-udef_binary64`
209×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	245	40
2	3586	40

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	396
1	12	396
2	19	396
3	21	396

Stop Event

1×

saturated

Counts

214 → 144

Calls

Call 1

Inputs
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)

Outputs
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(.f64 4 (.f64 c a))
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)
(/.f64 1/2 a)

eval475.0ms (2.8%)

Compiler: Compiled 35406 to 19265 computations (45.6% saved)

prune158.0ms (0.9%)

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	800	16	816
Fresh	4	14	18
Picked	1	0	1
Done	3	4	7
Total	808	34	842

Error

0.3b

Counts

842 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	33.2b	(if (>=.f64 b 0) (cbrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 (/.f64 c b) a) 2 (.f64 b -2)) (/.f64 1/2 a)) 3)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
	33.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a -4) 1/4) (pow.f64 c 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	31.0b	(if (>=.f64 b 0) (/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
✓	22.3b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	46.3b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 b a))
	32.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
	38.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
	23.1b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 c (/.f64 b (+.f64 a a))) b))))
	36.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (pow.f64 (neg.f64 (pow.f64 (/.f64 c b) 3)) 1/3))
	38.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (.f64 4 (.f64 c a))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
	23.1b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 (+.f64 a a) (/.f64 b c)) b))))
	22.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c))))
	24.6b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 1 (/.f64 b (.f64 (*.f64 c a) 2))) b))))
	38.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)))
	36.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (sqrt.f64 c) (/.f64 (.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) -1/2) (sqrt.f64 c))))
	23.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
	24.6b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 (*.f64 c a) 2) b) b))))
	43.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (neg.f64 (*.f64 b (cbrt.f64 -1))) a))
	33.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (exp.f64 (.f64 (.f64 6 (log.f64 (.f64 -1 (/.f64 c b)))) 1/6)))
✓	21.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	40.3b	(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (.f64 2 (/.f64 c (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b)))))
	33.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (/.f64 -1 c) -1/4) (pow.f64 (.f64 a 4) 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	21.8b	(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (.f64 a (.f64 c (/.f64 1 b)))) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
✓	20.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
✓	45.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
	40.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (pow.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c))))) 3) 1/3))
	38.6b	(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
	36.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b)))
	31.7b	(if (>=.f64 b 0) (pow.f64 (sqrt.f64 (/.f64 (neg.f64 b) a)) 2) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	22.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
	21.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 c (/.f64 -2 b)) 2))
	21.9b	(if (>=.f64 b 0) (.f64 (fma.f64 (.f64 (/.f64 c b) a) 2 (.f64 b -2)) (/.f64 1/2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
	38.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (pow.f64 (pow.f64 (.f64 (/.f64 2 (.f64 2 (fma.f64 (/.f64 c b) a b))) c) 3) 1/3))
	31.4b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))

Compiler

Compiled 1213 to 835 computations (31.2% saved)

regimes649.0ms (3.9%)

Counts

64 → 5

Calls

Call 1

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

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))

Calls

4 calls:

281.0ms	c
150.0ms	a
89.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
76.0ms	b

Results

Error	Segments	Branch
13.6b	6	`a`
7.0b	3	`b`
11.1b	11	`c`
6.9b	5	`(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))`

Compiler

Compiled 2277 to 1334 computations (41.4% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.558987611027835e+283	+inf
0.0ms	-0.0	1.4238162767170827e-298
0.0ms	-4.183072142724575e-284	-5.324475962092806e-293
0.0ms	-inf	-8.348200296913234e+298

Compiler

Compiled 47 to 31 computations (34% saved)

regimes490.0ms (2.9%)

Counts

48 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 c (/.f64 -2 b)) 2))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 c (/.f64 b (+.f64 a a))) b))))
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 (+.f64 a a) (/.f64 b c)) b))))
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 (*.f64 c a) 2) b) b))))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (.f64 a (.f64 c (/.f64 1 b)))) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 1 (/.f64 b (.f64 (*.f64 c a) 2))) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
(if (>=.f64 b 0) (.f64 (fma.f64 (.f64 (/.f64 c b) a) 2 (.f64 b -2)) (/.f64 1/2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (.f64 2 (/.f64 c (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b)))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (neg.f64 (*.f64 b (cbrt.f64 -1))) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (*.f64 2 (/.f64 c (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b)))))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (pow.f64 (sqrt.f64 (/.f64 (neg.f64 b) a)) 2) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (pow.f64 (neg.f64 (pow.f64 (/.f64 c b) 3)) 1/3))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (exp.f64 (.f64 (.f64 6 (log.f64 (.f64 -1 (/.f64 c b)))) 1/6)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (pow.f64 (/.f64 (.f64 c -2) (*.f64 2 b)) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 a (*.f64 -4 c)) 1/4) 2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (.f64 4 (.f64 c a))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (pow.f64 (pow.f64 (.f64 (/.f64 2 (.f64 2 (fma.f64 (/.f64 c b) a b))) c) 3) 1/3))
(if (>=.f64 b 0) (cbrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 (/.f64 c b) a) 2 (.f64 b -2)) (/.f64 1/2 a)) 3)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
(if (>=.f64 b 0) (pow.f64 (sqrt.f64 (.f64 (fma.f64 b -2 (/.f64 c (/.f64 b (+.f64 a a)))) (/.f64 1/2 a))) 2) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a -4) 1/4) (pow.f64 c 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (/.f64 -1 c) -1/4) (pow.f64 (.f64 a 4) 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 (+.f64 c c) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))

Calls

4 calls:

188.0ms	c
132.0ms	a
76.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
58.0ms	b

Results

Error	Segments	Branch
13.8b	6	`a`
7.0b	3	`b`
12.3b	9	`c`
6.9b	5	`(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))`

Compiler

Compiled 1604 to 916 computations (42.9% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.558987611027835e+283	+inf
0.0ms	-0.0	1.4238162767170827e-298
0.0ms	-4.183072142724575e-284	-5.324475962092806e-293
0.0ms	-inf	-8.348200296913234e+298

Compiler

Compiled 47 to 31 computations (34% saved)

regimes168.0ms (1%)

Counts

24 → 4

Calls

Call 1

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

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c))))

Calls

3 calls:

62.0ms	a
49.0ms	c
41.0ms	b

Results

Error	Segments	Branch
14.3b	6	`a`
7.0b	4	`b`
16.4b	5	`c`

Compiler

Compiled 718 to 395 computations (45% saved)

bsearch174.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
68.0ms	4.31869866230812e+119	6.196746428646673e+122
71.0ms	-6.813015204302248e-294	-2.265277931667812e-306
35.0ms	-6.7141644706807555e+131	-8.4527029547598135e+127

Compiler

Compiled 1251 to 869 computations (30.5% saved)

regimes146.0ms (0.9%)

Counts

21 → 4

Calls

Call 1

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

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (neg.f64 (*.f64 b (cbrt.f64 -1))) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c))))

Calls

3 calls:

48.0ms	c
46.0ms	a
39.0ms	b

Results

Error	Segments	Branch
18.0b	4	`a`
7.0b	4	`b`
19.1b	4	`c`

Compiler

Compiled 621 to 342 computations (44.9% saved)

bsearch174.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
68.0ms	4.31869866230812e+119	6.196746428646673e+122
71.0ms	-6.813015204302248e-294	-2.265277931667812e-306
35.0ms	-6.7141644706807555e+131	-8.4527029547598135e+127

Compiler

Compiled 1197 to 851 computations (28.9% saved)

regimes79.0ms (0.5%)

Counts

20 → 4

Calls

Call 1

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

Outputs
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 c (/.f64 b (+.f64 a a))) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (neg.f64 (*.f64 b (cbrt.f64 -1))) a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c))))

Calls

3 calls:

38.0ms	b
18.0ms	a
10.0ms	c

Results

Error	Segments	Branch
20.6b	2	`a`
10.2b	4	`b`
21.8b	1	`c`

Compiler

Compiled 586 to 322 computations (45.1% saved)

bsearch188.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
69.0ms	4.31869866230812e+119	6.196746428646673e+122
73.0ms	-6.813015204302248e-294	-2.265277931667812e-306
45.0ms	-1.160995813429554e-96	-4.760930392006059e-97

Compiler

Compiled 1437 to 1011 computations (29.6% saved)

regimes77.0ms (0.5%)

Counts

17 → 2

Calls

Call 1

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

Outputs

(if (>=.f64 b 0) (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 c (/.f64 b (+.f64 a a))) b))))

(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4))))))

Calls

3 calls:

29.0ms	b
28.0ms	a
9.0ms	c

Results

Error	Segments	Branch
20.6b	2	`a`
18.4b	2	`b`
21.8b	1	`c`

Compiler

Compiled 499 to 278 computations (44.3% saved)

bsearch44.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	-1.160995813429554e-96	-4.760930392006059e-97

Compiler

Compiled 387 to 261 computations (32.6% saved)

regimes35.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (.f64 a (.f64 c (/.f64 1 b)))) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))

Calls

3 calls:

12.0ms	c
7.0ms	b
7.0ms	a

Results

Error	Segments	Branch
21.8b	1	`a`
21.8b	1	`b`
21.8b	1	`c`

Compiler

Compiled 374 to 210 computations (43.9% saved)

regimes25.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))

Calls

3 calls:

7.0ms	c
6.0ms	b
6.0ms	a

Results

Error	Segments	Branch
21.9b	1	`a`
21.9b	1	`b`
21.9b	1	`c`

Compiler

Compiled 270 to 151 computations (44.1% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.8%)

Threshold costs -0.2b (-0.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 c (/.f64 -2 b)) 2))

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 c (/.f64 -2 b)) 2))

Calls

3 calls:

3.0ms	a
3.0ms	b
3.0ms	c

Results

Error	Segments	Branch
21.9b	1	`a`
21.9b	1	`b`
21.9b	1	`c`

Compiler

Compiled 53 to 36 computations (32.1% saved)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
28×	`+-commutative_binary64`
20×	`sub-neg_binary64`
15×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	1657
1	174	1615
2	217	1615
3	246	1615
4	263	1615
5	270	1615
6	272	1615

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -6696928794914171/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (neg.f64 c) b))))))
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -6696928794914171/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 c b) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (neg.f64 c) b))))))
(if (<=.f64 b -671416447068075547859592942881010996325321748569899529141004976665121270727470996436145015984863144450529257241598346722547356139520) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b -2372954938018257/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432) (if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 b 440000000000000025604005312704521194096587714405987859951480094729756718499901230008350492696468794542379769731559194624) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c)))))))
(if (<=.f64 b -671416447068075547859592942881010996325321748569899529141004976665121270727470996436145015984863144450529257241598346722547356139520) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b -2372954938018257/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432) (if (>=.f64 b 0) (/.f64 (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 b 440000000000000025604005312704521194096587714405987859951480094729756718499901230008350492696468794542379769731559194624) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (neg.f64 (.f64 b (cbrt.f64 -1))) a)) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (*.f64 -1 (/.f64 b c)))))))
(if (<=.f64 b -2308711300569989/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 c (/.f64 b (+.f64 a a))) b)))) (if (<=.f64 b -2372954938018257/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))))) (if (<=.f64 b 440000000000000025604005312704521194096587714405987859951480094729756718499901230008350492696468794542379769731559194624) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (neg.f64 (.f64 b (cbrt.f64 -1))) a)) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c)))))))
(if (<=.f64 b -2308711300569989/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (/.f64 c (/.f64 b (+.f64 a a))) b)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (+.f64 (.f64 2 (.f64 a (.f64 c (/.f64 1 b)))) (.f64 -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 c (/.f64 -2 b)) 2))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (.f64 -1 (/.f64 b c))))

Outputs
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(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a 2)) (/.f64 (.f64 c (/.f64 -2 b)) 2))
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(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a 2)) (/.f64 1 (neg.f64 (/.f64 b c))))
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Compiler

Compiled 1104 to 694 computations (37.1% saved)

soundness106.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

941×	`fma-def_binary64`
857×	`times-frac_binary64`
721×	`times-frac_binary64`
708×	`fma-def_binary64`
688×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1483	2157
0	172	871
1	555	790
2	2299	692

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 98 to 68 computations (30.6% saved)

end333.0ms (2%)

Compiler: Compiled 1077 to 623 computations (42.2% saved)