Details

analyze697.0ms (8.6%)

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
18.7%	81.1%	0.1%	6
26.5%	67.1%	6.4%	7
35.1%	58.5%	6.4%	8
41.3%	49.9%	8.7%	9
46.4%	40.2%	13.4%	10
50.8%	34.2%	15%	11
55.2%	26.7%	18.1%	12
57.4%	22%	20.6%	13
59.8%	17.9%	22.3%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.6s (20%)

Results

1.4s	8256×	body	128	valid
167.0ms	1026×	body	128	invalid

Compiler

Compiled 84 to 54 computations (35.7% saved)

preprocess38.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

623×	`fma-neg_binary64`
569×	`div-sub_binary64`
307×	`fma-def_binary64`
296×	`sub-neg_binary64`
276×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	143	208
2	409	208
3	940	200
4	1724	200
5	3271	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 b b (.f64 a (.f64 c -4))))) (.f64 a 2)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) 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 c (.f64 a -4) (.f64 b b))))) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -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 c 2) (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))) a)))
(if (>=.f64 a 0) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4))))) (.f64 b 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4)))) a)))
(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 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b)) (.f64 c (/.f64 2 (-.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 b b (.f64 a (.f64 c -4))))) (.f64 c 2)) (.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)) 2))
(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) c)) (.f64 2 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b))))
(if (>=.f64 b 0) (.f64 (/.f64 -1/2 c) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) (.f64 a (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -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 b (.f64 a -4))))) (.f64 a 2)) (.f64 (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) 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 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c))) c) 2)))
(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 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c))) c) 2)))
(if (>=.f64 c 0) (.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) a)) (.f64 -2 (/.f64 b (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))))))

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def_binary64`
776×	`fma-neg_binary64`
260×	`associate-/l*_binary64`
249×	`cancel-sign-sub-inv_binary64`
205×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	123	52
3	304	50
4	546	50
5	993	50
6	2057	50
7	3568	50
8	4834	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 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

17.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	17.5b	(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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	17.6b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))

Status

Error

Program

▶

17.5b

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

17.6b

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

Compiler

Compiled 231 to 147 computations (36.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
✓	1.0b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	19.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series229.0ms (2.8%)

Counts

4 → 80

Calls

36 calls:

Time	Variable		Point	Expression
33.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
28.0ms	a	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
27.0ms	c	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
26.0ms	a	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
6.0ms	c	@	-inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

186×	`add-sqr-sqrt_binary64`
180×	`*-un-lft-identity_binary64`
180×	`pow1_binary64`
174×	`add-exp-log_binary64`
174×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	367	67

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

Outputs
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simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

877×	`times-frac_binary64`
531×	`associate-/l*_binary64`
459×	`fma-def_binary64`
145×	`fma-neg_binary64`
134×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	2386
1	418	2331
2	1457	2207

Stop Event

1×	node limit

Counts

242 → 238

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -1 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(neg.f64 (+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))
(neg.f64 (+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))))
(+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (+.f64 (/.f64 (.f64 c (pow.f64 b 2)) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c b) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 2))) (+.f64 (/.f64 (.f64 c (pow.f64 b 2)) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))))) (.f64 1/4 (/.f64 (.f64 c (pow.f64 b 4)) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))

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

prune452.0ms (5.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	275	10	285
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	276	11	287

Error

5.0b

Counts

287 → 11

Alt Table

Status	Error	Program
▶	17.6b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	17.6b	(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))))))
	20.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 a (/.f64 b c)) -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	20.3b	(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))))))
	23.7b	(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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	17.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) 3)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.1b	(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 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))))))))
	30.1b	(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 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 c 2)) -1))
	30.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (.f64 (pow.f64 (cbrt.f64 (.f64 c 2)) 2) (.f64 (cbrt.f64 (.f64 c 2)) (/.f64 1 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))))
	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 -1 (/.f64 c b)))
	21.8b	(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 2 (/.f64 a (/.f64 b c))) b))))

Compiler

Compiled 14228 to 8536 computations (40% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	1.0b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	1.4b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
✓	19.9b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series105.0ms (1.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
5.0ms	c	@	-inf	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
5.0ms	c	@	inf	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
5.0ms	a	@	-inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
5.0ms	c	@	-inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`fma-def_binary64`
274×	`fma-neg_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
180×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	240	53
2	3262	53

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

458×	`times-frac_binary64`
297×	`fma-def_binary64`
279×	`associate-r_binary64`
278×	`associate-/l*_binary64`
257×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	2198
1	297	2110
2	967	2022

Stop Event

1×	node limit

Counts

303 → 280

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))
(+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))))
(-.f64 (+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 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 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))

Outputs
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -4))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -4))) (sqrt.f64 (.f64 (*.f64 c a) -4)))
(fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (sqrt.f64 (.f64 c (.f64 a -4))))
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) (sqrt.f64 (.f64 c (*.f64 a -4))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -4))) (sqrt.f64 (.f64 (.f64 c a) -4))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) 3))))
(+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 3)) -1/8))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3)) -1/8 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) (sqrt.f64 (.f64 c (*.f64 a -4)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))
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(-.f64 (.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c))) (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -4))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 10 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(-.f64 (.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 10 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 4) (pow.f64 a 4))))))
(-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c)))) (fma.f64 4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 10 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 7)) (pow.f64 c 4)))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -4))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) b)
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
(+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))))
(+.f64 b (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -4))) (sqrt.f64 (.f64 (*.f64 c a) -4))))
(+.f64 b (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (sqrt.f64 (.f64 c (.f64 a -4)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))) b) b))
(-.f64 (+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(+.f64 b (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -4))) (sqrt.f64 (.f64 (.f64 c a) -4))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) 3)))))
(+.f64 b (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 3)) -1/8)))
(+.f64 b (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (.f64 a -4))) 3)) -1/8 (fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) (sqrt.f64 (.f64 c (*.f64 a -4))))))
(*.f64 2 b)
(*.f64 b 2)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(*.f64 2 (-.f64 b (/.f64 c (/.f64 b a))))
(*.f64 2 (-.f64 b (/.f64 a (/.f64 b c))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 b 2) (.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)))))
(.f64 2 (-.f64 b (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))))
(.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 (.f64 2 (-.f64 b (/.f64 c (/.f64 b a)))) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (.f64 2 (-.f64 b (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))))) (.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(fma.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c)))) (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -4))
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(*.f64 2 (/.f64 a (/.f64 b c)))
(.f64 (/.f64 2 b) (.f64 c a))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3))))
(.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))))
(.f64 2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(fma.f64 4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 2 (fma.f64 (/.f64 c b) a (/.f64 (*.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c)))))
(+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 10 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 10 (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 4) (pow.f64 a 4))))))
(fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c))) (fma.f64 4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 10 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 7)) (pow.f64 c 4)))))
(*.f64 2 b)
(*.f64 b 2)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(*.f64 2 (-.f64 b (/.f64 c (/.f64 b a))))
(*.f64 2 (-.f64 b (/.f64 a (/.f64 b c))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 b 2) (.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)))))
(.f64 2 (-.f64 b (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))))
(.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 (.f64 2 (-.f64 b (/.f64 c (/.f64 b a)))) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (.f64 2 (-.f64 b (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))))) (.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(fma.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c)))) (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -4))
(*.f64 2 b)
(*.f64 b 2)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(*.f64 2 (-.f64 b (/.f64 c (/.f64 b a))))
(*.f64 2 (-.f64 b (/.f64 a (/.f64 b c))))
(.f64 2 (-.f64 b (.f64 a (/.f64 c b))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 b 2) (.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)))))
(.f64 2 (-.f64 b (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))))
(.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 (.f64 2 (-.f64 b (/.f64 c (/.f64 b a)))) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (.f64 2 (-.f64 b (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))))) (.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(fma.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 a a) (/.f64 (/.f64 (pow.f64 b 3) c) c)))) (.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(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 b b (.f64 c (.f64 a -4)))
(fma.f64 c (.f64 a -4) (.f64 b b))

prune631.0ms (7.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	362	3	365
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	365	11	376

Error

5.0b

Counts

376 → 11

Alt Table

Status	Error	Program
	30.1b	(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 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 c 2)) -1))
	21.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b))))))
	20.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 a (/.f64 b c)) -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	20.4b	(if (>=.f64 b 0) (.f64 (+.f64 b b) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	23.7b	(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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	17.6b	(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))))))
	17.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) 3)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.1b	(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 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))))))))
	30.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (.f64 (pow.f64 (cbrt.f64 (.f64 c 2)) 2) (.f64 (cbrt.f64 (.f64 c 2)) (/.f64 1 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))))
	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 -1 (/.f64 c b)))
	17.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))

Compiler

Compiled 16688 to 10361 computations (37.9% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	11.5b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	19.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	20.4b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series84.0ms (1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
7.0ms	a	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
7.0ms	c	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
6.0ms	c	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
5.0ms	a	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

rewrite104.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
177×	`egg-rr`
149×	`add-sqr-sqrt_binary64`
143×	`add-log-exp_binary64`
143×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	308	29
2	3757	29

Stop Event

1×	node limit

Counts

2 → 196

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

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-def_binary64`
482×	`cancel-sign-sub-inv_binary64`
244×	`distribute-neg-frac_binary64`
177×	`sub-neg_binary64`
169×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	2538
1	759	2480
2	2968	2444

Stop Event

1×	node limit

Counts

252 → 274

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(-.f64 (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 3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (+.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 3/512 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(sqrt.f64 (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 -1 b)) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (.f64 -1 b)) (pow.f64 a 2))) (pow.f64 b 4))) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)) (.f64 7/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 6))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a))) (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(.f64 -1 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(neg.f64 (+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))
(neg.f64 (+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) (+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))

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

prune1.0s (12.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	381	3	384
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	382	13	395

Error

3.3b

Counts

395 → 13

Alt Table

Status	Error	Program
	33.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	20.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 a (/.f64 b c)) -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.1b	(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 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 c 2)) -1))
	21.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b))))))
	32.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (fma.f64 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c))) c)) -1/16 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	23.7b	(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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
✓	17.6b	(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))))))
	17.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) 3)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.1b	(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 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))))))))
	30.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (.f64 (pow.f64 (cbrt.f64 (.f64 c 2)) 2) (.f64 (cbrt.f64 (.f64 c 2)) (/.f64 1 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))))
	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 -1 (/.f64 c b)))
▶	17.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	31.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 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 27573 to 17571 computations (36.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.1b	(+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3)))
	19.9b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	19.9b	(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3))
✓	20.6b	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series121.0ms (1.5%)

Counts

3 → 52

Calls

27 calls:

Time	Variable		Point	Expression
44.0ms	b	@	0	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
6.0ms	c	@	0	(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
5.0ms	c	@	-inf	(+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3)))
5.0ms	c	@	inf	(+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3)))
5.0ms	a	@	-inf	(+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3)))

rewrite110.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
364×	`fma-def_binary64`
209×	`expm1-udef_binary64`
209×	`log1p-udef_binary64`
206×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	276	42
2	3162	40

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3))
(+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3)))

Outputs

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

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

525×	`times-frac_binary64`
411×	`fma-def_binary64`
366×	`associate-/r*_binary64`
360×	`associate-/l*_binary64`
223×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1794
1	432	1774
2	1433	1710

Stop Event

1×	node limit

Counts

163 → 172

Calls

Call 1

Inputs
(pow.f64 (pow.f64 b 2) 1/3)
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (.f64 4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))))
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (+.f64 (.f64 16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (.f64 4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9)))))
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (+.f64 (.f64 16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (.f64 320/81 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3))))))
(pow.f64 (pow.f64 b 2) 1/3)
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (.f64 4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))))
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (+.f64 (.f64 16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (.f64 4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9)))))
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (+.f64 (.f64 16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (.f64 320/81 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3))))))
(.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (cbrt.f64 -4) (pow.f64 (*.f64 c a) 1/3)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 (cbrt.f64 -4) (pow.f64 (.f64 c a) 1/3))) (.f64 1/9 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)) (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))) (.f64 (cbrt.f64 -4) (pow.f64 (.f64 c a) 1/3)))) (.f64 1/9 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))
(+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))))
(-.f64 (+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 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 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))

Outputs
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (.f64 4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))))
(+.f64 (cbrt.f64 (.f64 b b)) (.f64 -4/3 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))))
(+.f64 (cbrt.f64 (.f64 b b)) (.f64 (.f64 -4/3 (.f64 c a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))))
(fma.f64 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) -4/3 (cbrt.f64 (.f64 b b)))
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (+.f64 (.f64 16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (.f64 4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9)))))
(-.f64 (cbrt.f64 (.f64 b b)) (fma.f64 16/9 (.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (.f64 4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))))))
(-.f64 (cbrt.f64 (.f64 b b)) (fma.f64 4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) (.f64 16/9 (.f64 a (.f64 a (.f64 c c)))))))
(+.f64 (cbrt.f64 (.f64 b b)) (fma.f64 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) -4/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) (.f64 (.f64 a (.f64 a (.f64 c c))) -16/9))))
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (+.f64 (.f64 16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (.f64 320/81 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b 8)) 1/3))))))
(-.f64 (cbrt.f64 (.f64 b b)) (fma.f64 16/9 (.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (.f64 320/81 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (cbrt.f64 (/.f64 1 (pow.f64 b 8))))))))
(-.f64 (cbrt.f64 (.f64 b b)) (fma.f64 16/9 (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 320/81 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 8))))) (.f64 (.f64 c a) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)) 4/3)))))
(-.f64 (cbrt.f64 (.f64 b b)) (fma.f64 4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (fma.f64 16/9 (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (.f64 320/81 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 8)))))))))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (.f64 4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))))
(+.f64 (cbrt.f64 (.f64 b b)) (.f64 -4/3 (.f64 (.f64 c a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))))
(+.f64 (cbrt.f64 (.f64 b b)) (.f64 (.f64 -4/3 (.f64 c a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))))
(fma.f64 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) -4/3 (cbrt.f64 (.f64 b b)))
(-.f64 (pow.f64 (pow.f64 b 2) 1/3) (+.f64 (.f64 16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (.f64 4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9)))))
(-.f64 (cbrt.f64 (.f64 b b)) (fma.f64 16/9 (.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (.f64 4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))))))
(-.f64 (cbrt.f64 (.f64 b b)) (fma.f64 4/3 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) (.f64 16/9 (.f64 a (.f64 a (.f64 c c)))))))
(+.f64 (cbrt.f64 (.f64 b b)) (fma.f64 (.f64 c (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18)))) -4/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) (.f64 (.f64 a (.f64 a (.f64 c c))) -16/9))))
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b
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b
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b
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(-.f64 (+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(+.f64 b (-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (sqrt.f64 (.f64 -4 (.f64 c a)))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 3)))))
(+.f64 b (-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -4))) (sqrt.f64 (.f64 (.f64 c a) -4))) (/.f64 (.f64 (pow.f64 b 4) 1/8) (pow.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) 3))))
(+.f64 b (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 c -4))) 3)) -1/8 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) (sqrt.f64 (.f64 a (.f64 c -4))))))
(*.f64 2 b)
(*.f64 b 2)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(*.f64 2 (-.f64 b (/.f64 c (/.f64 b a))))
(.f64 2 (-.f64 b (.f64 (/.f64 c b) a)))
(.f64 2 (-.f64 b (.f64 (/.f64 a b) c)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 (-.f64 b (/.f64 c (/.f64 b a)))) (.f64 2 (/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))))
(.f64 2 (-.f64 b (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))))
(.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (*.f64 c a))))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 (.f64 2 (-.f64 b (/.f64 c (/.f64 b a)))) (fma.f64 2 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (.f64 2 (-.f64 b (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c))))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (.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 c (/.f64 b a)))
(/.f64 (*.f64 c 2) (/.f64 b a))
(.f64 2 (.f64 (/.f64 a b) c))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3))))
(.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(.f64 2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (*.f64 c a)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a)))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)) (fma.f64 10 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))
(fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a)))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 7)) (pow.f64 c 4)))))
(*.f64 2 b)
(*.f64 b 2)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(*.f64 2 (-.f64 b (/.f64 c (/.f64 b a))))
(.f64 2 (-.f64 b (.f64 (/.f64 c b) a)))
(.f64 2 (-.f64 b (.f64 (/.f64 a b) c)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 (-.f64 b (/.f64 c (/.f64 b a)))) (.f64 2 (/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))))
(.f64 2 (-.f64 b (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))))
(.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (*.f64 c a))))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 (.f64 2 (-.f64 b (/.f64 c (/.f64 b a)))) (fma.f64 2 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (.f64 2 (-.f64 b (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c))))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))
(*.f64 2 b)
(*.f64 b 2)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(*.f64 2 (-.f64 b (/.f64 c (/.f64 b a))))
(.f64 2 (-.f64 b (.f64 (/.f64 c b) a)))
(.f64 2 (-.f64 b (.f64 (/.f64 a b) c)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 (-.f64 b (/.f64 c (/.f64 b a)))) (.f64 2 (/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))))
(.f64 2 (-.f64 b (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))))
(.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (*.f64 c a))))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 (.f64 2 (-.f64 b (/.f64 c (/.f64 b a)))) (fma.f64 2 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(-.f64 (.f64 2 (-.f64 b (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c))))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 2 (-.f64 b (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))

prune434.0ms (5.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	222	11	233

Error

3.2b

Counts

233 → 11

Alt Table

Status	Error	Program
	33.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	20.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 (/.f64 a (/.f64 b c)) -2 b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.1b	(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 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 c 2)) -1))
	21.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (*.f64 2 (fma.f64 (/.f64 c b) a (neg.f64 b))))))
	26.3b	(if (>=.f64 b 0) (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))
	23.7b	(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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
✓	17.6b	(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))))))
	30.1b	(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 c (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 2 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))))))))
	30.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (.f64 (pow.f64 (cbrt.f64 (.f64 c 2)) 2) (.f64 (cbrt.f64 (.f64 c 2)) (/.f64 1 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))))
	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 -1 (/.f64 c b)))
✓	17.7b	(if (>=.f64 b 0) (.f64 (+.f64 b (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3))) (/.f64 -1/2 a)) (.f64 c (/.f64 2 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b))))

Compiler

Compiled 10313 to 6564 computations (36.4% saved)

regimes1.7s (20.6%)

Accuracy

Total 3.6b remaining (53.6%)

Threshold costs 0b (0%)

Counts

118 → 3

Compiler

Compiled 19214 to 12922 computations (32.7% saved)

bsearch63.0ms (0.8%)

Algorithm

2×	binary-search

Calls

2 calls:

38.0ms	b
24.0ms	b

Steps

Iters	Point		Range
8.6e+111	∈ [	2.578023956207993e+108	,	2.7737729086080962e+113	]
-1.7e+143	∈ [	-8.46648585418355e+143	,	-2.5437403710707237e+142	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
15×	`*-commutative_binary64`
14×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	52	148
2	81	148
3	104	148
4	120	148
5	128	148
6	130	148

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -169999999999999991039834309779368256485655359560171112012190257249800166910520463205552816457864052002108786139598547401363578857302070919168000) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (*.f64 -1 (/.f64 c b))) (if (<=.f64 b 8599999999999999868948586259221999791723840448496666116244666219480227044583739678123628356469979847168075235328) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (*.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))))

Outputs
(if (<=.f64 b -169999999999999991039834309779368256485655359560171112012190257249800166910520463205552816457864052002108786139598547401363578857302070919168000) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (.f64 -1 (/.f64 c b))) (if (<=.f64 b 8599999999999999868948586259221999791723840448496666116244666219480227044583739678123628356469979847168075235328) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))))
(if (<=.f64 b -169999999999999991039834309779368256485655359560171112012190257249800166910520463205552816457864052002108786139598547401363578857302070919168000) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 a 2)) (neg.f64 (/.f64 c b))) (if (<=.f64 b 8599999999999999868948586259221999791723840448496666116244666219480227044583739678123628356469979847168075235328) (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) b) (.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 -169999999999999991039834309779368256485655359560171112012190257249800166910520463205552816457864052002108786139598547401363578857302070919168000) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -4))))) (.f64 a 2)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b 8599999999999999868948586259221999791723840448496666116244666219480227044583739678123628356469979847168075235328) (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 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 a 2)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))) b)))))
(if (<=.f64 b -169999999999999991039834309779368256485655359560171112012190257249800166910520463205552816457864052002108786139598547401363578857302070919168000) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a -4))))) (.f64 a 2)) (/.f64 (neg.f64 c) b)) (if (<=.f64 b 8599999999999999868948586259221999791723840448496666116244666219480227044583739678123628356469979847168075235328) (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 b 0) (neg.f64 (/.f64 (+.f64 b b) (.f64 a 2))) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a -4)))) b)))))

end268.0ms (3.3%)

Stop Event

1×

fuel

Compiler

Compiled 656 to 435 computations (33.7% saved)

Details

analyze697.0ms (8.6%)

sample1.6s (20%)

preprocess38.0ms (0.5%)

simplify38.0ms (0.5%)

prune5.0ms (0.1%)

localize20.0ms (0.2%)

series229.0ms (2.8%)

rewrite53.0ms (0.6%)

simplify52.0ms (0.6%)

prune452.0ms (5.6%)

localize20.0ms (0.2%)

series105.0ms (1.3%)

rewrite71.0ms (0.9%)

simplify48.0ms (0.6%)

prune631.0ms (7.8%)

localize30.0ms (0.4%)

series84.0ms (1%)

rewrite104.0ms (1.3%)

simplify60.0ms (0.7%)

prune1.0s (12.5%)

localize25.0ms (0.3%)

series121.0ms (1.5%)

rewrite110.0ms (1.4%)

simplify41.0ms (0.5%)

prune434.0ms (5.3%)

regimes1.7s (20.6%)

bsearch63.0ms (0.8%)

simplify6.0ms (0.1%)

end268.0ms (3.3%)

Profiling