Details

analyze385.0ms (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)

sample2.6s (18.1%)

Results

2.3s	8256×	body	256	valid
360.0ms	1522×	body	256	invalid

preprocess83.0ms (0.6%)

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)

simplify104.0ms (0.7%)

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

17.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.1b	(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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Status

Error

Program

▶

17.1b

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

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	0.7b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series28.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
2.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	c	@	0	(+.f64 (neg.f64 b) (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)))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite132.0ms (0.9%)

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 (.f64 b b) (.f64 (*.f64 4 a) c))
(-.f64 (neg.f64 b) (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))))

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)))))))))

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
708×	`fma-def_binary64`
683×	`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 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 (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 (.f64 c a) -2) b)
(/.f64 (*.f64 c a) (/.f64 b -2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (.f64 c a) -2) b)))
(fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (.f64 c a) -2) b))))
(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 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))

eval906.0ms (6.2%)

Compiler: Compiled 37536 to 22598 computations (39.8% saved)

prune227.0ms (1.6%)

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

4.8b

Counts

730 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.5b	(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))))))
▶	17.2b	(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 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
	33.2b	(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 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
▶	17.1b	(if (>=.f64 b 0) (/.f64 (-.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))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	21.7b	(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))))
	27.8b	(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))))))
	23.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	21.6b	(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) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	30.0b	(if (>=.f64 b 0) (/.f64 (/.f64 1 (/.f64 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4))))) (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	21.5b	(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))))
	18.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	17.2b	(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 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))

Compiler

Compiled 1076 to 704 computations (34.6% saved)

localize230.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	19.7b	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
	19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	53.4b	(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))

Compiler

Compiled 254 to 141 computations (44.5% saved)

series29.0ms (0.2%)

Counts

2 → 44

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	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))))))
4.0ms	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))))))
3.0ms	c	@	0	(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))
2.0ms	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))))))
2.0ms	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))))))

rewrite101.0ms (0.7%)

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))))))

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))))))

simplify86.0ms (0.6%)

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)))

localize85.0ms (0.6%)

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)))))
	0.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series19.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
3.0ms	c	@	-inf	(/.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)))))
1.0ms	c	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

rewrite73.0ms (0.5%)

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))))))

simplify64.0ms (0.4%)

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)))

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	3.1b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b)))
✓	5.1b	(.f64 (/.f64 c b) (.f64 a 2))
	19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 167 to 86 computations (48.5% saved)

series14.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite75.0ms (0.5%)

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

simplify60.0ms (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))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 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)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 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)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 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)))))
(*.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))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(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))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(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))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 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)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 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)))))

localize87.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -4)))
	19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	31.6b	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))

Compiler

Compiled 190 to 109 computations (42.6% saved)

series11.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
2.0ms	a	@	inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
1.0ms	b	@	0	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
1.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
1.0ms	c	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
110×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	225	23
2	2558	23

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify198.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

447×	`distribute-neg-frac_binary64`
361×	`times-frac_binary64`
338×	`unswap-sqr_binary64`
308×	`fma-neg_binary64`
294×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1001
1	227	934
2	742	911
3	3754	903
4	5041	903
5	6913	903

Stop Event

1×	node limit

Counts

105 → 78

Calls

Call 1

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

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

localize88.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	6.7b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	20.2b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 194 to 113 computations (41.8% saved)

series41.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	b	@	-inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
4.0ms	c	@	0	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
3.0ms	a	@	0	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	a	@	inf	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
2.0ms	a	@	-inf	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

rewrite91.0ms (0.6%)

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	33
1	307	29
2	3769	29

Stop Event

1×	node limit

Counts

2 → 87

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))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/12) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.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 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (/.f64 (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 -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (pow.f64 (cbrt.f64 (+.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 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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (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 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2)) (/.f64 1 (-.f64 (fma.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 *.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2)) (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2)) (+.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (fma.f64 b b (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (neg.f64 (-.f64 (fma.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 /.f64 (neg.f64 (-.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 /.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.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 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.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 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.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 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 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.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 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1 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 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 (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 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) 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 -1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4)) b)))) (#(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 (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 (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4)) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) b)))) (#(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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) 1/6)) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/12) b)))))

simplify172.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

620×	`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	502	5356
1	1811	4690

Stop Event

1×	node limit

Counts

159 → 215

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

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 -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)) (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 (.f64 -7/8192 (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 (.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)))))))
(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 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.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))))))))
(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 a a) (.f64 (.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 (.f64 c 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 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.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 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (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))))
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(-.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 b b) (/.f64 (.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (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 b (/.f64 a b)) (/.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 b b) (/.f64 (.f64 c 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 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 (pow.f64 b 4) (/.f64 (.f64 (.f64 c c) (.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))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))) b)
(fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (-.f64 (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 (.f64 c a) (.f64 c 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 (.f64 b b) (.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)) c) (.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 b b) (/.f64 (.f64 c 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 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 (pow.f64 b 4) (/.f64 (.f64 (.f64 c c) (.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))) (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 b (/.f64 a b)) (/.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 (.f64 c a) (.f64 c 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 (.f64 (.f64 1/8 (.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)) c)) (pow.f64 a 3))) b)

eval1.8s (12.4%)

Compiler: Compiled 90677 to 55030 computations (39.3% saved)

prune324.0ms (2.2%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	1709	24	1733
Fresh	5	2	7
Picked	1	0	1
Done	3	1	4
Total	1718	27	1745

Error

2.0b

Counts

1745 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.5b	(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))))))
	35.6b	(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 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) b)))
	29.6b	(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) (cbrt.f64 (pow.f64 (.f64 c (*.f64 a -4)) 3/2)))))
▶	28.3b	(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) (pow.f64 (pow.f64 (.f64 c (*.f64 a -4)) 1/4) 2))))
	30.8b	(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))))))
	36.9b	(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 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) b)))
▶	27.8b	(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))))))
	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 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)))
	18.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))) (.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))))
	37.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (+.f64 0 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c)))
	42.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
	25.0b	(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)))))
	36.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))))
	30.0b	(if (>=.f64 b 0) (/.f64 (/.f64 1 (/.f64 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4))))) (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	17.2b	(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 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	25.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
	32.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 2))
	36.2b	(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))
▶	45.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
▶	23.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))))
	36.3b	(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)))))))
	27.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
	37.9b	(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 (cbrt.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c)) 3))
▶	17.2b	(if (>=.f64 b 0) (/.f64 (-.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))))))) (.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)))))))))
	24.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	30.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.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))))
	35.4b	(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 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)))

Compiler

Compiled 2070 to 1405 computations (32.1% saved)

localize84.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.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)))))))
✓	0.8b	(+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))))
	19.7b	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
	53.4b	(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))

Compiler

Compiled 257 to 145 computations (43.6% saved)

series10.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(-.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)))))))
1.0ms	c	@	-inf	(-.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)))))))
1.0ms	a	@	inf	(-.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)))))))
1.0ms	b	@	-inf	(-.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)))))))
1.0ms	a	@	-inf	(-.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)))))))

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`log-prod_binary64`
625×	`fma-def_binary64`
320×	`fma-neg_binary64`
285×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	347	54
2	4648	54

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

Inputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 c (*.f64 a -4)))) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 c (*.f64 a -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 4) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 c (*.f64 a -4)))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 c (*.f64 a -4)))) 2) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 c (*.f64 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 c (*.f64 a -4)))))) (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 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simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

681×	`associate-/l*_binary64`
631×	`distribute-rgt-in_binary64`
627×	`distribute-lft-in_binary64`
538×	`fma-def_binary64`
509×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	993
1	420	985
2	1527	927

Stop Event

1×	node limit

Counts

238 → 227

Calls

Call 1

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

localize15.0ms (0.1%)

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

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
✓	4.1b	(/.f64 c (/.f64 (pow.f64 b 3) a))
✓	5.5b	(/.f64 (pow.f64 b 3) a)
	19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 155 to 89 computations (42.6% saved)

series16.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Expression
2.0ms	a	@	(/.f64 c (/.f64 (pow.f64 b 3) a))
1.0ms	a	@	(/.f64 (pow.f64 b 3) a)
1.0ms	c	@	(/.f64 c (/.f64 (pow.f64 b 3) a))
1.0ms	c	@	(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
1.0ms	b	@	(/.f64 (pow.f64 b 3) a)

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`log-prod_binary64`
417×	`fma-def_binary64`
253×	`log-div_binary64`
253×	`fma-neg_binary64`
250×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	277	36
2	4056	36

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

792×	`fma-neg_binary64`
468×	`fma-def_binary64`
455×	`times-frac_binary64`
436×	`distribute-neg-frac_binary64`
405×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	1053
1	46	1026
2	148	972
3	589	972
4	3299	972
5	6303	972

Stop Event

1×	node limit

Counts

190 → 125

Calls

Call 1

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

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

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	13.6b	(pow.f64 (.f64 c (.f64 a -4)) 1/4)
	19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 171 to 104 computations (39.2% saved)

series106.0ms (0.7%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	a	@	0	(pow.f64 (.f64 c (.f64 a -4)) 1/4)
29.0ms	c	@	0	(pow.f64 (.f64 c (.f64 a -4)) 1/4)
17.0ms	c	@	-inf	(pow.f64 (.f64 c (.f64 a -4)) 1/4)
12.0ms	a	@	-inf	(pow.f64 (.f64 c (.f64 a -4)) 1/4)
7.0ms	a	@	inf	(pow.f64 (.f64 c (.f64 a -4)) 1/4)

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
712×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
695×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	10
2	1971	10

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-neg_binary64`
636×	`div-sub_binary64`
524×	`fma-def_binary64`
471×	`exp-sum_binary64`
365×	`exp-diff_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	384
1	128	384
2	331	312
3	832	240
4	2292	240
5	5988	240

Stop Event

1×	node limit

Counts

42 → 25

Calls

Call 1

Inputs
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 c) (log.f64 (.f64 -4 a)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))

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

localize75.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.3b	(+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (*.f64 4 c)))
✓	7.5b	(/.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))))))
✓	12.6b	(sqrt.f64 (.f64 c (.f64 a -4)))
	19.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 237 to 125 computations (47.3% saved)

series53.0ms (0.4%)

Counts

3 → 52

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	a	@	inf	(sqrt.f64 (.f64 c (.f64 a -4)))
7.0ms	c	@	inf	(/.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))))))
6.0ms	a	@	inf	(/.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))))))
6.0ms	c	@	-inf	(/.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))))))
5.0ms	a	@	-inf	(/.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))))))

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`fma-def_binary64`
325×	`fma-neg_binary64`
323×	`expm1-udef_binary64`
323×	`log1p-udef_binary64`
273×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	371	54
2	5054	54

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs

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

(/.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 (fma.f64 b b (*.f64 b b)) (*.f64 a (*.f64 4 c)))

Outputs

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
745×	`associate-/r*_binary64`
692×	`associate-/l*_binary64`
336×	`distribute-rgt-in_binary64`
332×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1567
1	520	1196
2	2538	1046

Stop Event

1×	node limit

Counts

190 → 169

Calls

Call 1

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

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

eval1.4s (9.7%)

Compiler: Compiled 75674 to 46370 computations (38.7% saved)

prune245.0ms (1.7%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1318	7	1325
Fresh	5	16	21
Picked	1	0	1
Done	1	4	5
Total	1325	27	1352

Error

1.9b

Counts

1352 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.5b	(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))))))
	35.6b	(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 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) b)))
	29.6b	(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) (cbrt.f64 (pow.f64 (.f64 c (*.f64 a -4)) 3/2)))))
▶	42.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)) (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))))
✓	28.3b	(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) (pow.f64 (pow.f64 (.f64 c (*.f64 a -4)) 1/4) 2))))
	30.8b	(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))))))
	37.9b	(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 (cbrt.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c)) 3))
	36.1b	(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) (pow.f64 (.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2))))
	30.0b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3/2))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
✓	17.2b	(if (>=.f64 b 0) (/.f64 (-.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))))))) (.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)))))))))
	23.5b	(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 (cbrt.f64 (*.f64 c (fma.f64 (neg.f64 c) (/.f64 a (pow.f64 b 3)) (/.f64 -1 b)))) 3))
▶	18.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))) (.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))))
	37.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (+.f64 0 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c)))
	42.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
	25.0b	(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)))))
▶	36.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))))
▶	17.2b	(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 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	25.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
	32.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 2))
	36.2b	(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))
✓	45.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
	27.6b	(if (>=.f64 b 0) (/.f64 (/.f64 (.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))))))
	34.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2))))
▶	24.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	30.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.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))))
	35.4b	(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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2))))
	36.3b	(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)))))))

Compiler

Compiled 1886 to 1279 computations (32.2% saved)

localize75.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(fma.f64 b b (.f64 c (.f64 a -4)))
	6.7b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
✓	12.2b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	20.2b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 169 to 106 computations (37.3% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite105.0ms (0.7%)

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

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

simplify99.0ms (0.7%)

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)))
(+.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))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) b) -2) (pow.f64 b 4)) (.f64 b -2)))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (/.f64 (.f64 (.f64 a a) (.f64 b (*.f64 c c))) (/.f64 (pow.f64 b 4) 2))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 b (*.f64 -1 b))
(*.f64 0 b)
0
(+.f64 b (+.f64 (.f64 -1 b) (.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (.f64 0 b) (.f64 (/.f64 c (/.f64 b a)) -2))
(+.f64 (.f64 (.f64 (/.f64 c b) a) -2) 0)
(.f64 (.f64 (/.f64 c b) a) -2)
(+.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 b (fma.f64 -1 (/.f64 (.f64 2 (.f64 (.f64 (.f64 c c) (.f64 a a)) b)) (pow.f64 b 4)) (fma.f64 -1 b (.f64 (/.f64 c (/.f64 b a)) -2))))
(+.f64 (/.f64 (.f64 (.f64 a a) (.f64 b (.f64 c c))) (/.f64 (pow.f64 b 4) -2)) (+.f64 (.f64 (.f64 (/.f64 c b) a) -2) 0))
(+.f64 (.f64 (.f64 (/.f64 c b) a) -2) (/.f64 (.f64 (.f64 a a) (.f64 b (.f64 c c))) (/.f64 (pow.f64 b 4) -2)))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))
(*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 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)))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (neg.f64 (.f64 (.f64 c c) (fma.f64 2 (.f64 b (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) (/.f64 (.f64 a a) (pow.f64 b 3)))))))
(fma.f64 2 (-.f64 (.f64 (/.f64 c b) a) b) (.f64 (.f64 c c) (neg.f64 (fma.f64 2 (.f64 b (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 3) a))))))
(fma.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b)) (.f64 (.f64 c c) (neg.f64 (fma.f64 2 (.f64 b (/.f64 (.f64 (*.f64 a a) -3/2) (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 3) a))))))
(+.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))))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (.f64 -1 (+.f64 (.f64 (.f64 c c) (fma.f64 2 (.f64 b (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) (/.f64 (.f64 a a) (pow.f64 b 3)))) (.f64 (pow.f64 c 3) (fma.f64 -2 (/.f64 a (/.f64 b (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2))) (.f64 (.f64 2 (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))) b)))))))
(fma.f64 2 (-.f64 (.f64 (/.f64 c b) a) b) (neg.f64 (fma.f64 (.f64 c c) (fma.f64 2 (.f64 b (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 3) a))) (.f64 (pow.f64 c 3) (fma.f64 2 (.f64 b (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2)) (.f64 -2 (.f64 (/.f64 a b) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4)))))))))
(-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b))) (.f64 (.f64 c c) (+.f64 (.f64 (fma.f64 2 (.f64 b (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2)) (.f64 -2 (.f64 (/.f64 a b) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4))))) c) (fma.f64 2 (.f64 b (/.f64 (.f64 (*.f64 a a) -3/2) (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 3) 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)))
(neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) 2)))
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(+.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))))))

localize16.0ms (0.1%)

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

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.6b	(/.f64 (-.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (*.f64 2 a))
	4.1b	(/.f64 c (/.f64 (pow.f64 b 3) a))
	5.1b	(.f64 (/.f64 c b) (.f64 a 2))
	5.5b	(/.f64 (pow.f64 b 3) a)

Compiler

Compiled 143 to 80 computations (44.1% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`log-prod_binary64`
551×	`fma-def_binary64`
306×	`fma-neg_binary64`
246×	`log-div_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	309	20
2	5001	20

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

106 → 72

Calls

Call 1

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

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

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c)
✓	0.1b	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
✓	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
	12.6b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 132 to 80 computations (39.4% saved)

series47.0ms (0.3%)

Counts

3 → 42

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	c	@	-inf	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
8.0ms	c	@	inf	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
3.0ms	a	@	inf	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
3.0ms	a	@	-inf	(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))
2.0ms	c	@	inf	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c)

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
680×	`prod-diff_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	280	51
2	3689	51

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

914×	`associate-/r*_binary64`
385×	`associate-*l/_binary64`
348×	`associate-+l+_binary64`
325×	`associate-*r/_binary64`
280×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	1856
1	637	1438
2	2578	1375
3	7411	1370

Stop Event

1×	node limit

Counts

170 → 197

Calls

Call 1

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

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

localize94.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.7b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	20.2b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
✓	20.4b	(log.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	20.4b	(-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))

Compiler

Compiled 202 to 127 computations (37.1% saved)

series8.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(log.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
0.0ms	b	@	0	(log.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
0.0ms	a	@	inf	(-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))
0.0ms	b	@	0	(-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))
0.0ms	a	@	-inf	(-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 1/2)))

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`prod-diff_binary64`
638×	`log-prod_binary64`
293×	`fma-def_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	290	28
2	3676	28

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-def_binary64`
627×	`fma-neg_binary64`
541×	`associate-/l*_binary64`
467×	`associate-r_binary64`
462×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1881
1	489	1839
2	1640	1770
3	7596	1770

Stop Event

1×	node limit

Counts

249 → 268

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 -1/2 (.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))))))
(log.f64 (.f64 -4 (.f64 c a)))
(+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 -4 (.f64 c a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(*.f64 -2 (log.f64 (/.f64 1 b)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (*.f64 -2 (log.f64 (/.f64 1 b))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 -8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4)))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 -8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))))))
(*.f64 -2 (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(log.f64 (pow.f64 b 2))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (pow.f64 b 2)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2)))))
(+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (log.f64 (.f64 -4 a)) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(log.f64 (pow.f64 b 2))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (pow.f64 b 2)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2))))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -64/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))

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))
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(fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (log.f64 (.f64 c (.f64 a -4)))))
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(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (+.f64 (log.f64 (.f64 (.f64 c a) -4)) (/.f64 (.f64 -1/4 (.f64 b b)) (*.f64 c a)))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 c (*.f64 a -4))))))
(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 c (*.f64 a -4))))))
(+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))
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(+.f64 (/.f64 -1/4 (/.f64 (.f64 (/.f64 c b) a) b)) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 a 4))) (log.f64 (/.f64 -1 c)))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a))))))
(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (+.f64 (log.f64 (.f64 a 4)) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (/.f64 (.f64 -1/4 (.f64 b b)) (*.f64 c a)))))
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(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (*.f64 a 4))) (log.f64 (/.f64 -1 c))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 a)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (+.f64 (log.f64 (.f64 a 4)) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (/.f64 (.f64 -1/4 (.f64 b b)) (.f64 c a))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (-.f64 (/.f64 -1/4 (/.f64 (.f64 (/.f64 c b) a) b)) (log.f64 (/.f64 -1 c))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (log.f64 (.f64 a 4)))))
(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 a 4))) (log.f64 (/.f64 -1 c)))))
(log.f64 (pow.f64 b 2))
(*.f64 -2 (neg.f64 (log.f64 b)))
(*.f64 2 (log.f64 b))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (log.f64 (pow.f64 b 2)))
(fma.f64 -4 (/.f64 c (/.f64 (.f64 b b) a)) (.f64 -2 (neg.f64 (log.f64 b))))
(fma.f64 -4 (/.f64 (.f64 (/.f64 c b) a) b) (.f64 -2 (neg.f64 (log.f64 b))))
(fma.f64 -4 (.f64 a (/.f64 c (.f64 b b))) (*.f64 2 (log.f64 b)))
(+.f64 (.f64 -4 (/.f64 (.f64 c a) (pow.f64 b 2))) (+.f64 (.f64 -8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 4))) (log.f64 (pow.f64 b 2))))
(fma.f64 -4 (/.f64 c (/.f64 (.f64 b b) a)) (fma.f64 -2 (neg.f64 (log.f64 b)) (.f64 -8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 4) (.f64 a a))))))
(fma.f64 -4 (/.f64 (.f64 (/.f64 c b) a) b) (fma.f64 -8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) (.f64 a a)) (*.f64 -2 (neg.f64 (log.f64 b)))))
(fma.f64 2 (log.f64 b) (fma.f64 -4 (.f64 a (/.f64 c (.f64 b b))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) (.f64 (.f64 a a) -8))))
(fma.f64 -4 (.f64 a (/.f64 c (.f64 b b))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) (.f64 (.f64 a a) -8) (.f64 2 (log.f64 b))))
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(fma.f64 -4 (/.f64 c (/.f64 (.f64 b b) a)) (fma.f64 -64/3 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (fma.f64 -2 (neg.f64 (log.f64 b)) (.f64 -8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 4) (.f64 a a)))))))
(fma.f64 -4 (/.f64 (.f64 (/.f64 c b) a) b) (fma.f64 -64/3 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (pow.f64 a 3)) (fma.f64 -8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) (.f64 a a)) (.f64 -2 (neg.f64 (log.f64 b))))))
(fma.f64 -64/3 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (pow.f64 c 3)) (fma.f64 2 (log.f64 b) (fma.f64 -4 (.f64 a (/.f64 c (.f64 b b))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) (.f64 (*.f64 a a) -8)))))
(fma.f64 -4 (.f64 a (/.f64 c (.f64 b b))) (fma.f64 -64/3 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (pow.f64 c 3)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 4)) (.f64 (.f64 a a) -8) (*.f64 2 (log.f64 b)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c)))
(log.f64 (.f64 (.f64 c a) -4))
(log.f64 (.f64 c (.f64 a -4)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))
(+.f64 (log.f64 (.f64 (.f64 c a) -4)) (/.f64 (.f64 -1/4 (.f64 b b)) (*.f64 c a)))
(fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 c (*.f64 a -4))))
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(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 c (.f64 a -4)))))
(fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (log.f64 (.f64 c (.f64 a -4)))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 -4 c)) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (+.f64 (log.f64 (.f64 (.f64 c a) -4)) (/.f64 (.f64 -1/4 (.f64 b b)) (*.f64 c a)))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 c (*.f64 a -4))))))
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(+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))
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(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (*.f64 c 4))) (log.f64 (/.f64 -1 a))))
(+.f64 (.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 4 c)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (.f64 -1/4 (/.f64 (pow.f64 b 2) (.f64 c a)))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (+.f64 (log.f64 (.f64 c 4)) (fma.f64 -1 (log.f64 (/.f64 -1 a)) (/.f64 (.f64 -1/4 (.f64 b b)) (.f64 c a))))))
(fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (-.f64 (/.f64 -1/4 (/.f64 (.f64 (/.f64 c b) a) b)) (log.f64 (/.f64 -1 a))) (fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (log.f64 (.f64 c 4)))))
(fma.f64 -1/32 (/.f64 (pow.f64 b 4) (.f64 c (.f64 c (.f64 a a)))) (fma.f64 -1/192 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 b a) (/.f64 b c)) (log.f64 (.f64 c 4))) (log.f64 (/.f64 -1 a)))))

eval1.6s (10.8%)

Compiler: Compiled 92664 to 60664 computations (34.5% saved)

prune259.0ms (1.8%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1516	9	1525
Fresh	1	17	18
Picked	0	1	1
Done	2	6	8
Total	1519	33	1552

Error

0.2b

Counts

1552 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.5b	(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))))))
	35.7b	(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 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) b)))
	29.6b	(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) (cbrt.f64 (pow.f64 (.f64 c (*.f64 a -4)) 3/2)))))
	45.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (/.f64 (*.f64 2 a) (/.f64 b c)) c))))
✓	28.3b	(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) (pow.f64 (pow.f64 (.f64 c (*.f64 a -4)) 1/4) 2))))
	30.8b	(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))))))
	37.9b	(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 (cbrt.f64 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c)) 3))
	36.1b	(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) (pow.f64 (.f64 (pow.f64 (*.f64 a -4) 1/4) (pow.f64 c 1/4)) 2))))
	30.0b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 a (.f64 -4 c)) 3/2))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
✓	17.2b	(if (>=.f64 b 0) (/.f64 (-.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))))))) (.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)))))))))
	23.5b	(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 (cbrt.f64 (*.f64 c (fma.f64 (neg.f64 c) (/.f64 a (pow.f64 b 3)) (/.f64 -1 b)))) 3))
✓	18.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))) (.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))))
	37.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (+.f64 0 (*.f64 (/.f64 2 (fma.f64 (/.f64 c b) (+.f64 a a) (+.f64 b b))) c)))
	29.9b	(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))))
✓	24.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 c) b))
	42.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
	25.0b	(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)))))
	40.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))) c))))
✓	36.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))))
✓	17.2b	(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 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))))
	25.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
	32.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 2))
	32.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (.f64 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))) 1/2))) (.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))))
	36.2b	(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))
	45.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (*.f64 1/2 (/.f64 b a))))
	30.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.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))))
	27.6b	(if (>=.f64 b 0) (/.f64 (/.f64 (.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))))))
	34.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2))))
	31.9b	(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))))
	42.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b)) (.f64 2 a)) (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (.f64 (/.f64 (.f64 b b) 1) (/.f64 b a))))))
	36.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (.f64 (/.f64 1 c) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
	35.4b	(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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2))))
	36.3b	(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)))))))

Compiler

Compiled 1256 to 863 computations (31.3% saved)

regimes436.0ms (3%)

Accuracy

Total -58.5b remaining (-1064.4%)

Threshold costs -58.5b (-1064.4%)

Counts

53 → 5

Calls

Call 1

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

Outputs
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (pow.f64 (sqrt.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.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) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 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:

164.0ms	a
88.0ms	c
78.0ms	(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))))))
63.0ms	b

Results

Error	Segments	Branch
11.2b	7	`a`
5.6b	3	`b`
14.2b	3	`c`
5.5b	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 2011 to 1209 computations (39.9% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0411937439270285e+226	2.6573341268418468e+234
0.0ms	0.0	1.2371580497419804e-295
0.0ms	-2.6903879964169416e-300	-1.6521431769998198e-307
0.0ms	-inf	-1.1450535867979935e+305

Compiler

Compiled 47 to 31 computations (34% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
28×	`*-commutative_binary64`
25×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	507
1	106	493
2	150	493
3	193	493
4	218	493
5	231	493
6	235	493

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)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)) (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)))))) -1544206644495472896/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (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 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 2 a)) (/.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)))))) 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632) (if (>=.f64 b 0) (/.f64 (-.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))))))) (*.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))))))

Outputs

(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)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)) (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)))))) -1544206644495472896/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (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 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 2 a)) (/.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)))))) 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632) (if (>=.f64 b 0) (/.f64 (-.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))))))) (*.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 a 2)) (/.f64 (*.f64 c 2) (+.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 a 2)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)) (if (<=.f64 (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)))))) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (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 (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)))))) 0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (+.f64 (neg.f64 b) (-.f64 (*.f64 (*.f64 a 2) (/.f64 c b)) b)))) (if (<=.f64 (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)))))) 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632) (if (>=.f64 b 0) (/.f64 (-.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))))))) (*.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) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))))))

(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a 2)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) 0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (-.f64 (*.f64 (*.f64 a 2) (/.f64 c b)) b) b))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632) (if (>=.f64 b 0) (/.f64 (-.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))))))) (*.f64 a 2)) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b))))))

Compiler

Compiled 329 to 199 computations (39.5% saved)

soundness93.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

941×	`fma-def_binary64`
857×	`times-frac_binary64`
721×	`times-frac_binary64`
708×	`fma-def_binary64`
683×	`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)

end97.0ms (0.7%)

Compiler: Compiled 329 to 199 computations (39.5% saved)

Details

analyze385.0ms (2.6%)

sample2.6s (18.1%)

preprocess83.0ms (0.6%)

simplify104.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize54.0ms (0.4%)

series28.0ms (0.2%)

rewrite132.0ms (0.9%)

simplify72.0ms (0.5%)

eval906.0ms (6.2%)

prune227.0ms (1.6%)

localize230.0ms (1.6%)

series29.0ms (0.2%)

rewrite101.0ms (0.7%)

simplify86.0ms (0.6%)

localize85.0ms (0.6%)

series19.0ms (0.1%)

rewrite73.0ms (0.5%)

simplify64.0ms (0.4%)

localize58.0ms (0.4%)

series14.0ms (0.1%)

rewrite75.0ms (0.5%)

simplify60.0ms (0.4%)

localize87.0ms (0.6%)

series11.0ms (0.1%)

rewrite105.0ms (0.7%)

simplify198.0ms (1.4%)

localize88.0ms (0.6%)

series41.0ms (0.3%)

rewrite91.0ms (0.6%)

simplify172.0ms (1.2%)

eval1.8s (12.4%)

prune324.0ms (2.2%)

localize84.0ms (0.6%)

series10.0ms (0.1%)

rewrite102.0ms (0.7%)

simplify44.0ms (0.3%)

localize15.0ms (0.1%)

localize61.0ms (0.4%)

series16.0ms (0.1%)

rewrite72.0ms (0.5%)

simplify76.0ms (0.5%)

localize64.0ms (0.4%)

series106.0ms (0.7%)

rewrite50.0ms (0.3%)

simplify64.0ms (0.4%)

localize75.0ms (0.5%)

series53.0ms (0.4%)

rewrite84.0ms (0.6%)

simplify51.0ms (0.3%)

eval1.4s (9.7%)

prune245.0ms (1.7%)

localize75.0ms (0.5%)

series8.0ms (0.1%)

rewrite105.0ms (0.7%)

simplify99.0ms (0.7%)

localize16.0ms (0.1%)

localize47.0ms (0.3%)

series4.0ms (0%)

rewrite66.0ms (0.5%)

simplify17.0ms (0.1%)

localize47.0ms (0.3%)

series47.0ms (0.3%)

rewrite77.0ms (0.5%)

simplify83.0ms (0.6%)

localize94.0ms (0.6%)

series8.0ms (0.1%)

rewrite93.0ms (0.6%)

simplify80.0ms (0.5%)

eval1.6s (10.8%)

prune259.0ms (1.8%)

regimes436.0ms (3%)

bsearch1.0ms (0%)

simplify17.0ms (0.1%)

soundness93.0ms (0.6%)

end97.0ms (0.7%)

Profiling