Metrics for quad2p (problem 3.2.1, positive)

analyze138.0ms (3.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
42.6%	40.6%	54.6%	0.1%	0%	4.7%	0%	7
51.2%	48.4%	46%	0.1%	0%	5.5%	0%	8
54.5%	49.9%	41.7%	0.1%	0%	8.2%	0%	9
60.2%	53.4%	35.3%	0.1%	0%	11.1%	0%	10
67.6%	58.7%	28.2%	0.1%	0%	13%	0%	11
71.4%	60.6%	24.2%	0.1%	0%	15.1%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 20.0ms (32.7% of total)

ival-sqrt: 10.0ms (16.3% of total)

ival-add: 8.0ms (13.1% of total)

ival-neg: 8.0ms (13.1% of total)

ival-sub: 7.0ms (11.4% of total)

ival-div: 7.0ms (11.4% of total)

ival-true: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

sample2.1s (56.1%)

Results

688.0ms	5456×	0	valid
616.0ms	1991×	2	valid
392.0ms	809×	1	valid
85.0ms	1081×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 411.0ms (37.8% of total)

ival-neg: 209.0ms (19.2% of total)

ival-sqrt: 129.0ms (11.9% of total)

ival-div: 120.0ms (11% of total)

ival-add: 77.0ms (7.1% of total)

ival-sub: 75.0ms (6.9% of total)

backward-pass: 57.0ms (5.2% of total)

ival-true: 11.0ms (1% of total)

Bogosity

preprocess236.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1003×	`fma-neg`
508×	`div-sub`
395×	`times-frac`
264×	`fma-define`
223×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	631
1	136	579
2	281	571
3	777	571
4	2087	571
5	3954	571
6	4998	571
7	5251	571
8	5344	571
9	5376	571
10	5392	571
11	5392	571

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))))) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c)))) (neg.f64 a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 a c)))) a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))))) a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) (neg.f64 a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 a c)))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c)))) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b_2) (neg.f64 b_2)) (.f64 a c)))) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))))) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) (neg.f64 a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 (neg.f64 b_2) c))) a) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c))) a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) c)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a))) c) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 b_2) a (*.f64 c c))) c) a)

explain133.0ms (3.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
105	-	2	(-1.9292533714785695e-60 -4.971458116872224e-269 5.630099508471565e-263)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
59	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
10	-	0	-	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
1	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`c`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`b_2`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`a`
0	-	0	-	`(*.f64 b_2 b_2)`

Results

37.0ms	340×	0	valid
37.0ms	106×	2	valid
13.0ms	66×	1	valid

Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 12.0ms (25.5% of total)

ival-div: 9.0ms (19.2% of total)

ival-sqrt: 7.0ms (14.9% of total)

ival-add: 6.0ms (12.8% of total)

ival-neg: 5.0ms (10.6% of total)

backward-pass: 5.0ms (10.6% of total)

ival-sub: 4.0ms (8.5% of total)

ival-true: 1.0ms (2.1% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

localize108.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	accuracy	99.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	accuracy	78.0%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	62.0%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Rules

271×	`fma-define`
231×	`fma-neg`
70×	`times-frac`
55×	`div-sub`
48×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	201
1	29	201
2	47	201
3	76	201
4	126	201
5	192	201
6	322	201
7	499	201
8	820	201
9	1209	201
10	1314	201
11	1342	201
12	1386	201

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(*.f64 b_2 b_2)
b_2
(*.f64 a c)
a
c

Outputs
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(*.f64 b_2 b_2)
b_2
(*.f64 a c)
a
c

Results

15.0ms	170×	0	valid
15.0ms	53×	2	valid
8.0ms	33×	1	valid

Compiler

Compiled 50 to 10 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31.7% of total)

ival-sub: 4.0ms (21.1% of total)

ival-sqrt: 3.0ms (15.9% of total)

ival-div: 3.0ms (15.9% of total)

backward-pass: 2.0ms (10.6% of total)

ival-true: 0.0ms (0% of total)

series35.0ms (0.9%)

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))>
#<alt (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)>
#<alt (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)>
#<alt (-.f64 (.f64 b_2 b_2) (.f64 a c))>

Outputs
#<alt (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))>
#<alt b_2>
#<alt (.f64 b_2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))))>
#<alt (.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) b_2)>
#<alt (.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))))))>
#<alt b_2>
#<alt (+.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) b_2)))>
#<alt (+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))))>
#<alt (+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))))>
#<alt (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (*.f64 #s(literal -2 binary64) b_2)>
#<alt (.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) b_2))>
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#<alt (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64))))))))>
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#<alt (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) b_2))>
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#<alt (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (.f64 c (-.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 b_2 c)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64))))) b_2)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (.f64 a (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))) b_2)>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (+.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2)) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a))) a)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))>
#<alt (.f64 c (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))>
#<alt (.f64 c (-.f64 (.f64 c (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 b_2 #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))>
#<alt (.f64 c (-.f64 (.f64 c (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c (+.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))) (.f64 a b_2))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))>
#<alt (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b_2 (.f64 a c))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b_2 (.f64 a c))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b_2 (.f64 a c))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 (*.f64 a c)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) c)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) c))) c)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a c))>
#<alt (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))>
#<alt (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))>
#<alt (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))>
#<alt (pow.f64 b_2 #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (pow.f64 b_2 #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (pow.f64 b_2 #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a c))>
#<alt (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a) c))>
#<alt (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a) c))>
#<alt (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a) c))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a c))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a)) (.f64 #s(literal -1 binary64) c))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a)) (.f64 #s(literal -1 binary64) c))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a)) (.f64 #s(literal -1 binary64) c))))>
#<alt (pow.f64 b_2 #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a c))>
#<alt (*.f64 c (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c) a))>
#<alt (*.f64 c (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c) a))>
#<alt (*.f64 c (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c) a))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a c))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c)) (.f64 #s(literal -1 binary64) a))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c)) (.f64 #s(literal -1 binary64) a))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c)) (.f64 #s(literal -1 binary64) a))))>

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	b_2	@	0	(sqrt (- (* b_2 b_2) (* a c)))
2.0ms	a	@	-inf	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.0ms	a	@	-inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	a	@	inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	c	@	inf	(sqrt (- (* b_2 b_2) (* a c)))

rewrite269.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`log1p-expm1-u`
817×	`expm1-log1p-u`
701×	`fma-define`
337×	`fma-neg`
194×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	151
1	228	151
2	3352	145

Stop Event

1×	node limit

Counts

4 → 339

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(-.f64 (.f64 b_2 b_2) (.f64 a c))

Outputs
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) #s(literal 1 binary64))
(.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))
(.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 a c) (fma.f64 a c (pow.f64 b_2 #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))
(pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))))
(hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) #s(literal 1 binary64)))
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))
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(fma.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 (.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 c (neg.f64 a))) (cbrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (.f64 c (neg.f64 a))) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (cbrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c)))) (cbrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (fma.f64 (.f64 c (neg.f64 a)) #s(literal 1 binary64) (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) #s(literal 1 binary64)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (sqrt.f64 (.f64 c (neg.f64 a))) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 (.f64 c (neg.f64 a)) #s(literal 1 binary64) (.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) #s(literal 1 binary64)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64))) (cbrt.f64 (.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) c (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 (.f64 c (neg.f64 a)) #s(literal 1 binary64) (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) #s(literal 1 binary64)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))

simplify434.0ms (11.5%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-define`
644×	`associate-r`
398×	`distribute-lft-in`
397×	`distribute-rgt-in`
305×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1089	33894
1	2968	31870

Stop Event

1×	node limit

Counts

483 → 694

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
b_2
(.f64 b_2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) b_2)
(.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))))))
b_2
(+.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) b_2)))
(+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))))
(+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))))
b_2
(+.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) b_2)))
(+.f64 b_2 (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 b_2 #s(literal 3 binary64)))))))
(+.f64 b_2 (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (.f64 c (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(.f64 c (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 c (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 c (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (pow.f64 c #s(literal 3 binary64))))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (pow.f64 c #s(literal 3 binary64))))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
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(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))

Outputs
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
b_2
(.f64 b_2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))))))
(.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) a) (pow.f64 b_2 #s(literal 2 binary64))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))))
(.f64 b_2 (+.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))))
(*.f64 #s(literal -1 binary64) b_2)
(neg.f64 b_2)
(.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))))))
(.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))))))
(.f64 b_2 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))))
(.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))))
(.f64 b_2 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) a) (pow.f64 b_2 #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))))))
(.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))))
(.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))) (neg.f64 b_2))
b_2
(+.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) b_2)))
(+.f64 b_2 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b_2)) b_2)
(+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))))
(+.f64 b_2 (.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))))
(fma.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(+.f64 b_2 (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(+.f64 b_2 (.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) (.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 3 binary64)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 3 binary64)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 3 binary64)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(.f64 (neg.f64 (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
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b_2
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(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))
(fma.f64 (.f64 (cbrt.f64 (.f64 c (neg.f64 a))) (cbrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (.f64 c (neg.f64 a))) (pow.f64 b_2 #s(literal 2 binary64)))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (cbrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c)))) (cbrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 #s(literal 0 binary64) (.f64 a c))))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 c (neg.f64 a)))
(fma.f64 (sqrt.f64 b_2) (.f64 b_2 (sqrt.f64 b_2)) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 b_2) (.f64 b_2 (sqrt.f64 b_2)) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (sqrt.f64 b_2) (.f64 b_2 (sqrt.f64 b_2)) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (sqrt.f64 b_2) (.f64 b_2 (sqrt.f64 b_2)) (fma.f64 a (neg.f64 c) (.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (sqrt.f64 b_2) (.f64 b_2 (sqrt.f64 b_2)) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (sqrt.f64 b_2) (.f64 b_2 (sqrt.f64 b_2)) (fma.f64 a (neg.f64 c) (.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 #s(literal 0 binary64) (.f64 a c))))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (fma.f64 (.f64 c (neg.f64 a)) #s(literal 1 binary64) (.f64 a c)))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 #s(literal 0 binary64) (.f64 a c))))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(+.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) #s(literal 1 binary64)))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 #s(literal 0 binary64) (.f64 a c))))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 a c)) (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (sqrt.f64 (.f64 c (neg.f64 a))) (sqrt.f64 (.f64 c (neg.f64 a))) (pow.f64 b_2 #s(literal 2 binary64)))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))
(fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 #s(literal 0 binary64) (.f64 a c))))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 #s(literal 0 binary64) (.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 (.f64 c (neg.f64 a)) #s(literal 1 binary64) (.f64 a c)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 #s(literal 0 binary64) (.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 #s(literal 0 binary64) (.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (.f64 a c))) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (.f64 a c))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64))) (cbrt.f64 (.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) c (pow.f64 b_2 #s(literal 2 binary64)))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))
(fma.f64 (*.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a (neg.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)))) (cbrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a (neg.f64 (sqrt.f64 c))) (sqrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 (.f64 c (neg.f64 a)) #s(literal 1 binary64) (.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a c))) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 a c)))
(fma.f64 (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) (+.f64 (fma.f64 a (neg.f64 c) (.f64 a c)) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))))) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (.f64 c (neg.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (.f64 b_2 (cbrt.f64 b_2)) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (.f64 b_2 (cbrt.f64 b_2)) (.f64 c (neg.f64 a)))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 a (neg.f64 c) (.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (neg.f64 (-.f64 (.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (.f64 b_2 (cbrt.f64 b_2)) (fma.f64 a (neg.f64 c) (.f64 #s(literal 0 binary64) (*.f64 a c))))

eval87.0ms (2.3%)

Compiler: Compiled 18866 to 2899 computations (84.6% saved)

prune153.0ms (4.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	675	19	694
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	675	20	695

Accuracy

90.3%

Counts

695 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) #s(literal 1/4 binary64)) a) (/.f64 b_2 (neg.f64 a)))
▶	29.8%	(/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64))))) b_2)
	25.5%	(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) (.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
	30.5%	(/.f64 (/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) a) b_2) a)
	48.6%	(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) b_2) a)
▶	48.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) b_2) a)
✓	49.2%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
▶	30.9%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	45.2%	(/.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) #s(literal 1/2 binary64))) b_2) a)
	39.2%	(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) b_2) a)
	36.7%	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 3/2 binary64))) b_2) a)
	35.5%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	31.8%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c b_2))) a)
	45.8%	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))) a)
	48.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
	35.4%	(-.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c))) (/.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) a)) (/.f64 b_2 a))
	48.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 c (neg.f64 a)))) b_2))
▶	33.8%	(.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b_2))))
	32.5%	(.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)))))
▶	33.7%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Compiler

Compiled 683 to 447 computations (34.6% saved)

localize67.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-define`
599×	`times-frac`
419×	`fma-neg`
299×	`distribute-lft-out`
290×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	1114
1	102	1050
2	223	994
3	705	786
4	2381	778
5	5261	778

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) b_2) a)
(-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) b_2)
(sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(pow.f64 b_2 #s(literal 2 binary64))
b_2
#s(literal 2 binary64)
(-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(*.f64 a c)
a
c
(.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (.f64 a c)))
(fma.f64 a (neg.f64 c) (*.f64 a c))
(neg.f64 c)
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
#s(literal -2 binary64)
(/.f64 b_2 a)
b_2
a
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(sqrt.f64 (*.f64 c (neg.f64 a)))
(*.f64 c (neg.f64 a))
c
(neg.f64 a)
a
b_2
(.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b_2))))
c
(fma.f64 #s(literal -1/8 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b_2)))
#s(literal -1/8 binary64)
(*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))))
a
(/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))
(pow.f64 b_2 #s(literal 3 binary64))
b_2
#s(literal 3 binary64)
(neg.f64 (/.f64 #s(literal 1/2 binary64) b_2))
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64))))) b_2)
(fma.f64 c #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))))
c
#s(literal -1/2 binary64)
(.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64))))
(*.f64 #s(literal -1/8 binary64) a)
#s(literal -1/8 binary64)
a
(/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))
(pow.f64 c #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 b_2 #s(literal 2 binary64))
b_2

Outputs
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 a c (.f64 (.f64 a (+.f64 (neg.f64 c) c)) #s(literal -2 binary64))))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 a c (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) c))))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (pow.f64 b_2 #s(literal 2 binary64)))) b_2) a)
(-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) b_2)
(-.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
(-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 a c (.f64 (.f64 a (+.f64 (neg.f64 c) c)) #s(literal -2 binary64))))) b_2)
(-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 a c (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) c))))) b_2)
(-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) b_2)
(-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (pow.f64 b_2 #s(literal 2 binary64)))) b_2)
(sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))))
(sqrt.f64 (+.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 a c (.f64 (.f64 a (+.f64 (neg.f64 c) c)) #s(literal -2 binary64)))))
(sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 a c (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) c)))))
(sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)))
(sqrt.f64 (fma.f64 c (neg.f64 a) (pow.f64 b_2 #s(literal 2 binary64))))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(+.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (.f64 a c)) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 a c (.f64 (.f64 a (+.f64 (neg.f64 c) c)) #s(literal -2 binary64))))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 a c (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) c))))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))
(fma.f64 c (neg.f64 a) (pow.f64 b_2 #s(literal 2 binary64)))
(pow.f64 b_2 #s(literal 2 binary64))
b_2
#s(literal 2 binary64)
(-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 a c (.f64 (.f64 a (+.f64 (neg.f64 c) c)) #s(literal -2 binary64)))
(fma.f64 a c (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) c)))
(*.f64 a c)
(*.f64 a c)
(-.f64 (.f64 a c) (.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 a c (.f64 (.f64 a (+.f64 (neg.f64 c) c)) #s(literal -2 binary64)))
(fma.f64 a c (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) c)))
a
c
(.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (.f64 a c)))
(.f64 #s(literal 2 binary64) (.f64 a (+.f64 (neg.f64 c) c)))
(.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) c))
#s(literal 0 binary64)
(fma.f64 a (neg.f64 c) (*.f64 a c))
(.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (.f64 a c)))
(.f64 #s(literal 2 binary64) (.f64 a (+.f64 (neg.f64 c) c)))
(.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) c))
#s(literal 0 binary64)
(neg.f64 c)
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
#s(literal -2 binary64)
(/.f64 b_2 a)
b_2
a
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(sqrt.f64 (*.f64 c (neg.f64 a)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(*.f64 c (neg.f64 a))
(*.f64 a (neg.f64 c))
c
(neg.f64 a)
a
b_2
(.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b_2))))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 c (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(.f64 c (fma.f64 a (/.f64 (.f64 c #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)))
c
(fma.f64 #s(literal -1/8 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b_2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 #s(literal -1/8 binary64) (*.f64 c (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b_2))
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
#s(literal -1/8 binary64)
(*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))))
(*.f64 c (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))))
a
(/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))
(pow.f64 b_2 #s(literal 3 binary64))
b_2
#s(literal 3 binary64)
(neg.f64 (/.f64 #s(literal 1/2 binary64) b_2))
(/.f64 #s(literal -1/2 binary64) b_2)
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64))))) b_2)
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64))))) b_2)
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 a (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))))) b_2)
(/.f64 (fma.f64 a (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 c #s(literal -1/2 binary64))) b_2)
(/.f64 (.f64 c (+.f64 (.f64 a (/.f64 (*.f64 c #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) b_2)
(.f64 c (/.f64 (fma.f64 a (.f64 c (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal -1/2 binary64)) b_2))
(.f64 c (/.f64 (fma.f64 a (/.f64 (.f64 c #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 2 binary64))) #s(literal -1/2 binary64)) b_2))
(fma.f64 c #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))))
(fma.f64 c #s(literal -1/2 binary64) (.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))))
(fma.f64 c #s(literal -1/2 binary64) (.f64 a (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64))))))
(fma.f64 a (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))) (.f64 c #s(literal -1/2 binary64)))
(.f64 c (+.f64 (.f64 a (/.f64 (*.f64 c #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(.f64 c (fma.f64 a (.f64 c (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(.f64 c (fma.f64 a (/.f64 (.f64 c #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
c
#s(literal -1/2 binary64)
(.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64))))
(.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64))))
(.f64 a (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))))
(*.f64 #s(literal -1/8 binary64) a)
(*.f64 a #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
a
(/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 2 binary64)))
(pow.f64 c #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 b_2 #s(literal 2 binary64))
b_2

Compiler

Compiled 282 to 40 computations (85.8% saved)

quad2p (problem 3.2.1, positive)

analyze138.0ms (3.6%)

sample2.1s (56.1%)

preprocess236.0ms (6.2%)

explain133.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize108.0ms (2.9%)

series35.0ms (0.9%)

rewrite269.0ms (7.1%)

simplify434.0ms (11.5%)

eval87.0ms (2.3%)

prune153.0ms (4.1%)

localize67.0ms (1.8%)

end0.0ms (0%)

Profiling