Metrics for Radioactive exchange between two surfaces

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

const: 0.0ms (0% of total)

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

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

sample1.1s (30.2%)

Results

876.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 523.0ms

ival-pow: 452.0ms (86.3% of total)

ival-sub: 58.0ms (11.1% of total)

const: 11.0ms (2.1% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess40.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

304×	`fnmadd-define`
264×	`sum3-define`
240×	`fmsub-define`
224×	`fnmsub-define`
190×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	32	48
2	71	46
3	141	46
4	321	46
5	681	46
6	1021	46
7	1219	46
8	1239	46
0	6	7
1	8	7
2	13	7
3	20	7
4	30	7
5	62	7
6	121	7
7	210	7
8	295	7
9	401	7
10	479	7
11	485	7
0	485	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (pow x 4) (pow y 4))

Outputs
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Call 2

Inputs
(- (pow x 4) (pow y 4))
(- (pow (neg x) 4) (pow y 4))
(- (pow x 4) (pow (neg y) 4))
(neg (- (pow (neg x) 4) (pow y 4)))
(neg (- (pow x 4) (pow (neg y) 4)))
(- (pow y 4) (pow x 4))

Outputs
(- (pow x 4) (pow y 4))
(- (pow (neg x) 4) (pow y 4))
(- (pow x 4) (pow (neg y) 4))
(neg (- (pow (neg x) 4) (pow y 4)))
(- (pow y 4) (pow (neg x) 4))
(neg (- (pow x 4) (pow (neg y) 4)))
(- (pow (neg y) 4) (pow x 4))
(- (pow y 4) (pow x 4))

explain151.0ms (4.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
42	-	-	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
0	-	-	`x`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	-	-	`y`

Results

61.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-pow: 16.0ms (79.6% of total)

ival-sub: 3.0ms (14.9% of total)

const: 1.0ms (5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.6%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(pow.f64 y #s(literal 4 binary64))
✓	cost-diff	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	8	16
2	13	16
3	20	16
4	30	16
5	62	16
6	121	16
7	210	16
8	295	16
9	401	16
10	479	16
11	485	16
0	485	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (pow x 4) (pow y 4))
(pow x 4)
x
4
(pow y 4)
y

Outputs
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
4
#s(literal 4 binary64)
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
y

localize130.0ms (3.7%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
✓	accuracy	85.3%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Results

25.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-pow: 9.0ms (85.4% of total)

ival-sub: 1.0ms (9.5% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (- (pow x 4) (pow y 4))>
#<alt (pow x 4)>
#<alt (pow y 4)>

Outputs
#<alt (* -1 (pow y 4))>
#<alt (- (pow x 4) (pow y 4))>
#<alt (- (pow x 4) (pow y 4))>
#<alt (- (pow x 4) (pow y 4))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (pow x 4)>
#<alt (+ (* -1 (pow y 4)) (pow x 4))>
#<alt (+ (* -1 (pow y 4)) (pow x 4))>
#<alt (+ (* -1 (pow y 4)) (pow x 4))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- (pow x 4) (pow y 4))
1.0ms	y	@	inf	(- (pow x 4) (pow y 4))
1.0ms	y	@	0	(- (pow x 4) (pow y 4))
1.0ms	x	@	inf	(- (pow x 4) (pow y 4))
0.0ms	x	@	0	(pow x 4)

rewrite150.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2262×	`sum3-define`
1950×	`fnmadd-define`
1764×	`sum5-define`
1584×	`fmm-def`
1548×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	14	13
2	25	13
3	41	13
4	56	13
5	91	13
6	158	13
7	293	13
8	1651	13
9	2759	13
10	6595	13
0	8407	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 265

Calls

Call 1

Inputs
(- (pow x 4) (pow y 4))
(pow x 4)
(pow y 4)

Outputs
(+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3 binary64) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
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(-.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(fma.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))))
(fma.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))

simplify145.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

2848×	`-lowering-.f32`
2848×	`-lowering-.f64`
1842×	`fmsub-define`
1726×	`fmm-def`
1660×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	38	219
2	74	219
3	193	219
4	406	219
5	885	219
6	3859	219
0	8592	219

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -1 (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)

Outputs
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))

eval40.0ms (1.1%)

Compiler: Compiled 4749 to 496 computations (89.6% saved)

prune35.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	310	3	313
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	310	4	314

Accuracy

100.0%

Counts

314 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	(pow.f64 x #s(literal 4 binary64))
✓	83.6%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
▶	61.9%	(-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))
▶	58.5%	(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify110.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))
✓	cost-diff	6848	(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 y #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))

Rules

1572×	`+-lowering-+.f64`
1572×	`+-lowering-+.f32`
1444×	`sum3-define`
1396×	`fma-lowering-fma.f32`
1396×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	30	46
2	78	46
3	247	46
4	1774	46
0	8157	46

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- 0 (pow y 4))
0
(pow y 4)
y
4
(- (- (* (pow x 4) 3) (* (pow x 4) 2)) (pow y 4))
(- (* (pow x 4) 3) (* (pow x 4) 2))
(* (pow x 4) 3)
(pow x 4)
x
4
3
(* (pow x 4) 2)
2
(pow y 4)
y
(pow x 4)
x
4

Outputs
(- 0 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
0
#s(literal 0 binary64)
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
y
4
#s(literal 4 binary64)
(- (- (* (pow x 4) 3) (* (pow x 4) 2)) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (* (pow x 4) 3) (* (pow x 4) 2))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) 3)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
4
#s(literal 4 binary64)
3
#s(literal 3 binary64)
(* (pow x 4) 2)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
y
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
4
#s(literal 4 binary64)

localize74.0ms (2.1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
✓	accuracy	99.9%	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
✓	accuracy	85.3%	(-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))
✓	accuracy	69.4%	(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))

Results

55.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 8.0ms (50.1% of total)

ival-sub: 4.0ms (25.1% of total)

ival-mult: 3.0ms (18.8% of total)

const: 1.0ms (6.3% of total)

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

series3.0ms (0.1%)

Counts

7 → 96

Calls

Call 1

Inputs
#<alt (- 0 (pow y 4))>
#<alt (pow y 4)>
#<alt (- (* (pow x 4) 3) (* (pow x 4) 2))>
#<alt (- (- (* (pow x 4) 3) (* (pow x 4) 2)) (pow y 4))>
#<alt (* (pow x 4) 3)>
#<alt (pow x 4)>
#<alt (* (pow x 4) 2)>

Outputs
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -1 (pow y 4))>
#<alt (- (pow x 4) (pow y 4))>
#<alt (- (pow x 4) (pow y 4))>
#<alt (- (pow x 4) (pow y 4))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (- (* 3 (pow x 4)) (* 2 (pow x 4)))>
#<alt (- (+ (* -1 (pow y 4)) (* 3 (pow x 4))) (* 2 (pow x 4)))>
#<alt (- (+ (* -1 (pow y 4)) (* 3 (pow x 4))) (* 2 (pow x 4)))>
#<alt (- (+ (* -1 (pow y 4)) (* 3 (pow x 4))) (* 2 (pow x 4)))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))>
#<alt (* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))>
#<alt (* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))>
#<alt (* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))>
#<alt (* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (* 3 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>
#<alt (* 2 (pow x 4))>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(- (* (pow x 4) 3) (* (pow x 4) 2))
0.0ms	y	@	0	(- (- (* (pow x 4) 3) (* (pow x 4) 2)) (pow y 4))
0.0ms	x	@	inf	(* (pow x 4) 3)
0.0ms	x	@	inf	(* (pow x 4) 2)
0.0ms	y	@	inf	(- (- (* (pow x 4) 3) (* (pow x 4) 2)) (pow y 4))

rewrite160.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2088×	`fma-lowering-fma.f32`
2088×	`fma-lowering-fma.f64`
1970×	`fma-define`
1568×	`fnmadd-define`
1424×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	44	30
2	127	30
3	778	30
4	4345	30
0	8400	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 560

Calls

Call 1

Inputs
(- 0 (pow y 4))
(pow y 4)
(- (* (pow x 4) 3) (* (pow x 4) 2))
(- (- (* (pow x 4) 3) (* (pow x 4) 2)) (pow y 4))
(* (pow x 4) 3)
(pow x 4)
(* (pow x 4) 2)

Outputs
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(+.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
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(+.f64 (.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)))

simplify187.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

2186×	`--lowering--.f32`
2186×	`--lowering--.f64`
2154×	`-lowering-.f32`
2154×	`-lowering-.f64`
1482×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	423
1	71	423
2	172	423
3	586	423
4	3877	423
0	8548	423

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1 (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(- (* 3 (pow x 4)) (* 2 (pow x 4)))
(- (+ (* -1 (pow y 4)) (* 3 (pow x 4))) (* 2 (pow x 4)))
(- (+ (* -1 (pow y 4)) (* 3 (pow x 4))) (* 2 (pow x 4)))
(- (+ (* -1 (pow y 4)) (* 3 (pow x 4))) (* 2 (pow x 4)))
(* -1 (pow y 4))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(* 3 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))
(* 2 (pow x 4))

Outputs
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (* 3 (pow x 4)) (* 2 (pow x 4)))
(pow.f64 x #s(literal 4 binary64))
(- (+ (* -1 (pow y 4)) (* 3 (pow x 4))) (* 2 (pow x 4)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (+ (* -1 (pow y 4)) (* 3 (pow x 4))) (* 2 (pow x 4)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (+ (* -1 (pow y 4)) (* 3 (pow x 4))) (* 2 (pow x 4)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 3 (/ (pow x 4) (pow y 4))) (+ 1 (* 2 (/ (pow x 4) (pow y 4))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(* 3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))

eval114.0ms (3.3%)

Compiler: Compiled 17142 to 1754 computations (89.8% saved)

prune117.0ms (3.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	941	2	943
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	942	5	947

Accuracy

100.0%

Counts

947 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.5%	(pow.f64 x #s(literal 4 binary64))
✓	83.6%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
✓	61.9%	(-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))
▶	58.5%	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
▶	25.5%	(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
✓	cost-diff	0	(pow.f64 y #s(literal 4 binary64))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) (log.f64 x))
✓	cost-diff	6464	(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))

Rules

8×	`sum3-define`
8×	`+-lowering-+.f64`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	15	20
2	20	20
3	22	20
4	28	20
5	32	20
6	38	20
7	41	20
0	41	20

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(exp (* 4 (log x)))
(* 4 (log x))
4
(log x)
x
(neg (pow y 4))
(pow y 4)
y
4

Outputs
(exp (* 4 (log x)))
(pow.f64 x #s(literal 4 binary64))
(* 4 (log x))
(*.f64 #s(literal 4 binary64) (log.f64 x))
4
#s(literal 4 binary64)
(log x)
(log.f64 x)
x
(neg (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
y
4
#s(literal 4 binary64)

localize52.0ms (1.5%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (log.f64 x))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	98.8%	(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))

Results

22.0ms	118×	0	valid
20.0ms	138×	0	invalid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow: 10.0ms (42.4% of total)

ival-neg: 6.0ms (25.4% of total)

ival-log: 3.0ms (12.7% of total)

ival-exp: 2.0ms (8.5% of total)

ival-mult: 2.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

series61.0ms (1.7%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (exp (* 4 (log x)))>
#<alt (* 4 (log x))>
#<alt (log x)>
#<alt (pow y 4)>
#<alt (neg (pow y 4))>

Outputs
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 4 (log x))>
#<alt (* 4 (log x))>
#<alt (* 4 (log x))>
#<alt (* 4 (log x))>
#<alt (* -4 (log (/ 1 x)))>
#<alt (* -4 (log (/ 1 x)))>
#<alt (* -4 (log (/ 1 x)))>
#<alt (* -4 (log (/ 1 x)))>
#<alt (* 4 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 4 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 4 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 4 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>
#<alt (* -1 (pow y 4))>

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(* 4 (log x))
18.0ms	x	@	-inf	(* 4 (log x))
12.0ms	x	@	inf	(* 4 (log x))
0.0ms	x	@	0	(exp (* 4 (log x)))
0.0ms	x	@	0	(log x)

rewrite22.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
10×	`exp-lowering-exp.f32`
10×	`exp-prod`
10×	`exp-lowering-exp.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	18	16
2	29	16
3	40	16
4	46	16
5	50	16
6	56	16
7	59	16
0	59	16

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 21

Calls

Call 1

Inputs
(exp (* 4 (log x)))
(* 4 (log x))
(log x)
(pow y 4)
(neg (pow y 4))

Outputs
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 4 binary64))
(log.f64 x)
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 y #s(literal 4 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))

simplify97.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

432×	`fnmadd-define`
322×	`fma-define`
292×	`fma-lowering-fma.f32`
292×	`fmsub-define`
292×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	240
1	41	232
2	70	232
3	120	232
4	165	232
5	250	232
6	411	232
7	624	232
8	879	232
9	1090	232
10	1390	232
11	1448	232
0	1448	232

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

Inputs
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 4 (log x))
(* 4 (log x))
(* 4 (log x))
(* 4 (log x))
(* -4 (log (/ 1 x)))
(* -4 (log (/ 1 x)))
(* -4 (log (/ 1 x)))
(* -4 (log (/ 1 x)))
(* 4 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 4 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 4 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 4 (+ (log -1) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))

Outputs
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 4 (log x))
(*.f64 #s(literal 4 binary64) (log.f64 x))
(* 4 (log x))
(*.f64 #s(literal 4 binary64) (log.f64 x))
(* 4 (log x))
(*.f64 #s(literal 4 binary64) (log.f64 x))
(* 4 (log x))
(*.f64 #s(literal 4 binary64) (log.f64 x))
(* -4 (log (/ 1 x)))
(*.f64 #s(literal 4 binary64) (log.f64 x))
(* -4 (log (/ 1 x)))
(*.f64 #s(literal 4 binary64) (log.f64 x))
(* -4 (log (/ 1 x)))
(*.f64 #s(literal 4 binary64) (log.f64 x))
(* -4 (log (/ 1 x)))
(*.f64 #s(literal 4 binary64) (log.f64 x))
(* 4 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* 4 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* 4 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* 4 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))

eval6.0ms (0.2%)

Compiler: Compiled 420 to 41 computations (90.2% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	81	5	86

Accuracy

100.0%

Counts

86 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.5%	(pow.f64 x #s(literal 4 binary64))
✓	83.6%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
✓	61.9%	(-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))
✓	58.5%	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
✓	25.5%	(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))

Compiler

Compiled 85 to 50 computations (41.2% saved)

regimes12.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

Inputs
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))

Calls

5 calls:

3.0ms	y
3.0ms	x
2.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
2.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
92.2%	3	`x`
91.4%	3	`y`
92.2%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
92.2%	2	`(pow.f64 x #s(literal 4 binary64))`
91.4%	2	`(pow.f64 y #s(literal 4 binary64))`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes25.0ms (0.7%)

Counts

4 → 2

Calls

Call 1

Inputs
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))

Outputs
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))

Calls

4 calls:

18.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	x
2.0ms	y
2.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
83.9%	3	`y`
82.1%	3	`x`
83.2%	2	`(pow.f64 y #s(literal 4 binary64))`
80.1%	2	`(pow.f64 x #s(literal 4 binary64))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(pow.f64 x #s(literal 4 binary64))

Outputs
(pow.f64 x #s(literal 4 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
54.5%	1	`(pow.f64 x #s(literal 4 binary64))`
54.5%	1	`x`
54.5%	1	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1784783869271251e+308	+inf

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch26.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.1881728550996124e+59	6.831497436161388e+70

Results

20.0ms

160×

valid

Compiler

Compiled 124 to 101 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-pow: 3.0ms (73.3% of total)

ival-sub: 1.0ms (24.4% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	18	32
2	21	32
3	22	32

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal +inf.0 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))

(if (<=.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 549999999999999967881181335272830733655146847708890131047907328 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

(pow.f64 x #s(literal 4 binary64))

Outputs
(if (<=.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal +inf.0 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(if (<=.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 549999999999999967881181335272830733655146847708890131047907328 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(if (<=.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 549999999999999967881181335272830733655146847708890131047907328 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(pow.f64 x #s(literal 4 binary64))

soundness613.0ms (17.5%)

Rules

2848×	`-lowering-.f32`
2848×	`-lowering-.f64`
2088×	`fma-lowering-fma.f32`
2088×	`fma-lowering-fma.f64`
1970×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	38	219
2	74	219
3	193	219
4	406	219
5	885	219
6	3859	219
0	8592	219
0	13	36
1	44	30
2	127	30
3	778	30
4	4345	30
0	8400	30

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 63 to 37 computations (41.3% saved)

preprocess26.0ms (0.8%)

Compiler: Compiled 88 to 40 computations (54.5% saved)

Radioactive exchange between two surfaces

analyze1.0ms (0%)

sample1.1s (30.2%)

preprocess40.0ms (1.2%)

explain151.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.4%)

localize130.0ms (3.7%)

series3.0ms (0.1%)

rewrite150.0ms (4.3%)

simplify145.0ms (4.1%)

eval40.0ms (1.1%)

prune35.0ms (1%)

simplify110.0ms (3.1%)

localize74.0ms (2.1%)

series3.0ms (0.1%)

rewrite160.0ms (4.6%)

simplify187.0ms (5.4%)

eval114.0ms (3.3%)

prune117.0ms (3.4%)

simplify6.0ms (0.2%)

localize52.0ms (1.5%)

series61.0ms (1.7%)

rewrite22.0ms (0.6%)

simplify97.0ms (2.8%)

eval6.0ms (0.2%)

prune5.0ms (0.1%)

regimes12.0ms (0.4%)

regimes25.0ms (0.7%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch26.0ms (0.7%)

simplify7.0ms (0.2%)

soundness613.0ms (17.5%)

preprocess26.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	16
1	8	16
2	13	16
3	20	16
4	30	16
5	62	16
6	121	16
7	210	16
8	295	16
9	401	16
10	479	16
11	485	16
0	485	16

Iter	Nodes	Cost
0	6	16
1	8	16
2	13	16
3	20	16
4	30	16
5	62	16
6	121	16
7	210	16
8	295	16
9	401	16
10	479	16
11	485	16
0	485	16

Iter	Nodes	Cost
0	6	16
1	8	16
2	13	16
3	20	16
4	30	16
5	62	16
6	121	16
7	210	16
8	295	16
9	401	16
10	479	16
11	485	16
0	485	16