Metrics for bug366, discussion (missed optimization)

analyze36.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	5
32%	25%	53.1%	0.1%	0%	21.9%	0%	6
55.8%	37.5%	29.7%	0.1%	0%	32.8%	0%	7
57.8%	37.5%	27.3%	0.1%	0%	35.1%	0%	8
74.2%	43.7%	15.2%	0.1%	0%	41%	0%	9
75.9%	43.7%	13.9%	0.1%	0%	42.3%	0%	10
85.9%	46.8%	7.7%	0.1%	0%	45.4%	0%	11
87%	46.8%	7%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (53.3% of total)

ival-sqrt: 4.0ms (26.6% of total)

ival-sub: 3.0ms (20% of total)

const: 0.0ms (0% of total)

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

sample1.0s (24.9%)

Results

640.0ms	8256×	0	valid
150.0ms	612×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 392.0ms

ival-mult: 263.0ms (67% of total)

ival-sqrt: 71.0ms (18.1% of total)

ival-sub: 48.0ms (12.2% of total)

const: 8.0ms (2% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess225.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1374×	`fma-neg`
973×	`associate--l+`
917×	`fma-define`
765×	`associate--l-`
501×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	253
1	70	253
2	153	253
3	389	253
4	992	253
5	1845	253
6	3043	253
7	3922	253
8	4746	253
9	5212	253
10	5318	253
11	5364	253
12	6530	253

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))))
(neg.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b))))
(neg.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b)))))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(neg.f64 (sqrt.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b))))
(neg.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))
(neg.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b)))))
(neg.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))
(sqrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a))))

Symmetry

(abs a)

(abs b)

explain62.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
121	-	1	(1.4466909916884887e-158 2.0233059033880655e-167)	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
18	-	0	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`b`
0	-	0	-	`a`
0	-	0	-	`(*.f64 a a)`

Results

36.0ms

512×

valid

Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 10.0ms (56.3% of total)

ival-sqrt: 4.0ms (22.5% of total)

ival-sub: 3.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize28.0ms (0.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	94.4%	(-.f64 (.f64 a a) (.f64 b b))
✓	56.2%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Results

21.0ms

256×

valid

Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 6.0ms (50.6% of total)

ival-mult: 3.0ms (25.3% of total)

ival-sqrt: 2.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))>
#<alt (-.f64 (.f64 a a) (.f64 b b))>

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	(sqrt (- (* a a) (* b b)))
1.0ms	a	@	0	(sqrt (- (* a a) (* b b)))
1.0ms	b	@	inf	(sqrt (- (* a a) (* b b)))
1.0ms	b	@	0	(sqrt (- (* a a) (* b b)))
1.0ms	a	@	inf	(sqrt (- (* a a) (* b b)))

rewrite440.0ms (10.9%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`log1p-expm1-u`
645×	`expm1-log1p-u`
642×	`prod-diff`
592×	`unpow-prod-down`
390×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	147	54
2	1910	52

Stop Event

1×	node limit

Counts

2 → 314

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))

Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
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(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))

simplify221.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

694×	`times-frac`
354×	`fma-neg`
276×	`associate-r`
264×	`unswap-sqr`
263×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	747	18157
1	1702	17248
2	4731	14957

Stop Event

1×	node limit

Counts

362 → 457

Calls

Call 1

Inputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
a
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) a)
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))))))
a
(+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))
(+.f64 a (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))
(+.f64 a (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(pow.f64 a #s(literal 2 binary64))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(pow.f64 a #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (+.f64 a b) #s(literal 1/3 binary64)) (pow.f64 (.f64 (-.f64 a b) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 a b) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) a) (.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 a b) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (+.f64 a b) (-.f64 a b) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (.f64 a (sqrt.f64 a)) (sqrt.f64 a) (.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))

Outputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) (.f64 b (sqrt.f64 #s(literal -1 binary64))))
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(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))))
(fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))))
(fma.f64 (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (.f64 a (sqrt.f64 a)) (sqrt.f64 a) (.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))))
(fma.f64 (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))

eval219.0ms (5.4%)

Compiler: Compiled 10503 to 7398 computations (29.6% saved)

prune66.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	455	2	457
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	455	3	458

Accuracy

100.0%

Counts

458 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓	55.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	99.0%	a

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize34.0ms (0.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 a b))
✓	100.0%	(sqrt.f64 (+.f64 b a))
✓	99.1%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))

Results

26.0ms

256×

valid

Compiler

Compiled 29 to 8 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sqrt: 4.0ms (46.2% of total)

ival-add: 2.0ms (23.1% of total)

ival-mult: 2.0ms (23.1% of total)

ival-sub: 1.0ms (11.6% of total)

const: 0.0ms (0% of total)

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

series54.0ms (1.3%)

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))>
#<alt (sqrt.f64 (+.f64 b a))>
#<alt (sqrt.f64 (-.f64 a b))>

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

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	a	@	-inf	(sqrt (- a b))
2.0ms	a	@	-inf	(sqrt (+ b a))
1.0ms	b	@	inf	(* (sqrt (+ b a)) (sqrt (- a b)))
1.0ms	a	@	-inf	(* (sqrt (+ b a)) (sqrt (- a b)))
1.0ms	b	@	-inf	(sqrt (+ b a))

rewrite603.0ms (14.9%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`log1p-expm1-u`
820×	`expm1-log1p-u`
740×	`prod-diff`
383×	`log-prod`
343×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	166	63
2	2305	63

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 b a))
(sqrt.f64 (-.f64 a b))

Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (+.f64 b a) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 b a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 b a)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) (cbrt.f64 (+.f64 b a)))
(*.f64 (cbrt.f64 (+.f64 b a)) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 b a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (hypot.f64 b (sqrt.f64 (*.f64 a (-.f64 a b)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sqrt.f64 (-.f64 b a)))
(pow.f64 (+.f64 b a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 b a)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b a))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 b a)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))

simplify502.0ms (12.4%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-define`
397×	`*-commutative`
375×	`associate-r`
345×	`distribute-lft-in`
340×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	584	8547
1	1710	7437
2	6920	6910

Stop Event

1×	node limit

Counts

151 → 273

Calls

Call 1

Inputs
a
(+.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) a)))
(+.f64 a (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)))))
(+.f64 a (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) a)) (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) (+.f64 a (*.f64 #s(literal -1 binary64) a)))) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
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a
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(sqrt.f64 a)
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(sqrt.f64 b)
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(sqrt.f64 b)
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(sqrt.f64 a)
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(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
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(sqrt.f64 a)
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(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))
(+.f64 (sqrt.f64 a) (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)))))
(+.f64 (sqrt.f64 a) (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 b (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 b (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 b (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (+.f64 b a) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 b a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 b a)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) (cbrt.f64 (+.f64 b a)))
(*.f64 (cbrt.f64 (+.f64 b a)) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 b a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (hypot.f64 b (sqrt.f64 (*.f64 a (-.f64 a b)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sqrt.f64 (-.f64 b a)))
(pow.f64 (+.f64 b a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 b a)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b a))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 b a)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))

Outputs
a
(+.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) a)))
a
(+.f64 a (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)))))
(+.f64 a (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) a) a)))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))) a) (/.f64 #s(literal 0 binary64) a)) a)
(+.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))) a))
(+.f64 a (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) a)) (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) (+.f64 a (*.f64 #s(literal -1 binary64) a)))) (pow.f64 a #s(literal 3 binary64)))))))))
(+.f64 a (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) a) a)))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))) a) (/.f64 #s(literal 0 binary64) a)) a)
(+.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 2 binary64))) a))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) a) (.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 0 binary64) a) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
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(sqrt.f64 b)
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(sqrt.f64 a)
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(sqrt.f64 a)
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(sqrt.f64 (+.f64 a b))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 a b))
(fabs.f64 (sqrt.f64 (+.f64 b a)))
(sqrt.f64 (+.f64 a b))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 a b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 b a)))))
(sqrt.f64 (+.f64 a b))
(cbrt.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 (+.f64 a b))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(sqrt.f64 (+.f64 a b))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 a b))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 a b))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 a b))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b a))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 a b))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 a b))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 a b))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 a b))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 a b))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 b a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 a b)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 a b))
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(sqrt.f64 (-.f64 a b))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(sqrt.f64 (-.f64 a b))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(sqrt.f64 (-.f64 a b))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 a b))

eval88.0ms (2.2%)

Compiler: Compiled 7236 to 4903 computations (32.2% saved)

prune38.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	273	3	276

Accuracy

100.0%

Counts

276 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓	55.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	99.0%	a

Compiler

Compiled 44 to 26 computations (40.9% saved)

regimes10.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
a
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))

Outputs
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))

Calls

6 calls:

3.0ms	a
1.0ms	b
1.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
1.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.1%	1	`a`
99.1%	1	`b`
99.1%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.1%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.1%	1	`(*.f64 a a)`
99.1%	1	`(*.f64 b b)`

Compiler

Compiled 35 to 21 computations (40% saved)

regimes7.0ms (0.2%)

Accuracy

Total -28.1b remaining (-4402.5%)

Threshold costs -28.1b (-4402.5%)

Counts

2 → 1

Calls

Call 1

Inputs
a
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Outputs
a

Calls

6 calls:

1.0ms	a
1.0ms	b
1.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
1.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.0%	1	`a`
99.0%	1	`b`
99.0%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.0%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.0%	1	`(*.f64 a a)`
99.0%	1	`(*.f64 b b)`

Compiler

Compiled 35 to 21 computations (40% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative`
2×	`sub-neg`
2×	`*-commutative`
1×	`neg-sub0`
1×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	17	43
2	22	43
3	24	43
4	25	43

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
a

Outputs
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
a

soundness339.0ms (8.4%)

Rules

694×	`times-frac`
645×	`log1p-expm1-u`
645×	`expm1-log1p-u`
642×	`prod-diff`
592×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	147	54
2	1910	52
0	747	18157
1	1702	17248
2	4731	14957

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 92 to 43 computations (53.3% saved)

preprocess39.0ms (1%)

Remove: (abs b)
Compiler: Compiled 206 to 128 computations (37.9% saved)

bug366, discussion (missed optimization)

analyze36.0ms (0.9%)

sample1.0s (24.9%)

preprocess225.0ms (5.6%)

explain62.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize28.0ms (0.7%)

series12.0ms (0.3%)

rewrite440.0ms (10.9%)

simplify221.0ms (5.5%)

eval219.0ms (5.4%)

prune66.0ms (1.6%)

localize34.0ms (0.8%)

series54.0ms (1.3%)

rewrite603.0ms (14.9%)

simplify502.0ms (12.4%)

eval88.0ms (2.2%)

prune38.0ms (0.9%)

regimes10.0ms (0.2%)

regimes7.0ms (0.2%)

simplify2.0ms (0.1%)

soundness339.0ms (8.4%)

preprocess39.0ms (1%)

end0.0ms (0%)

Profiling