Metrics for From Rump in a 1983 paper

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

Precisions

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

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

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

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

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

ival-==: 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)

sample1.9s (25.2%)

Results

984.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 666.0ms

ival-mult: 234.0ms (35.1% of total)

ival-pow: 208.0ms (31.2% of total)

ival-sub: 69.0ms (10.4% of total)

ival-==: 65.0ms (9.8% of total)

ival-add: 49.0ms (7.4% of total)

const: 21.0ms (3.2% of total)

ival-and: 17.0ms (2.6% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess156.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

2646×	`fnmadd-define`
1956×	`sum3-define`
1894×	`fmsub-define`
1840×	`fnmsub-define`
1536×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	84
1	94	78
2	279	76
3	759	76
4	2234	76
5	5043	76
6	7075	76
0	12	13
1	24	12
2	61	12
3	111	12
4	240	12
5	663	12
6	1681	12
7	2812	12
8	3295	12
9	3401	12
10	3409	12
0	3409	12

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))

Outputs

(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))

(+.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))

Call 2

Inputs
(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
(+ (- (* 9 (pow (neg x) 4)) (pow y 4)) (* 2 (* y y)))
(+ (- (* 9 (pow x 4)) (pow (neg y) 4)) (* 2 (* (neg y) (neg y))))
(neg (+ (- (* 9 (pow (neg x) 4)) (pow y 4)) (* 2 (* y y))))
(neg (+ (- (* 9 (pow x 4)) (pow (neg y) 4)) (* 2 (* (neg y) (neg y)))))
(+ (- (* 9 (pow y 4)) (pow x 4)) (* 2 (* x x)))

Outputs
(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
(fnmsub (pow x 4) -9 (fma (square y) -2 (pow y 4)))
(+ (- (* 9 (pow (neg x) 4)) (pow y 4)) (* 2 (* y y)))
(fnmsub (pow (neg x) 4) -9 (fma (square y) -2 (pow y 4)))
(+ (- (* 9 (pow x 4)) (pow (neg y) 4)) (* 2 (* (neg y) (neg y))))
(fnmsub (pow x 4) -9 (fma (square y) -2 (pow (neg y) 4)))
(neg (+ (- (* 9 (pow (neg x) 4)) (pow y 4)) (* 2 (* y y))))
(fnmsub 9 (pow (neg x) 4) (fnmsub (square y) -2 (pow y 4)))
(neg (+ (- (* 9 (pow x 4)) (pow (neg y) 4)) (* 2 (* (neg y) (neg y)))))
(fma (square y) -2 (fma (pow x 4) -9 (pow (neg y) 4)))
(+ (- (* 9 (pow y 4)) (pow x 4)) (* 2 (* x x)))
(fnmsub (pow y 4) -9 (fma (square x) -2 (pow x 4)))

explain167.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
256	0	-	-	`(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))`
0	0	-	-	`x`
0	0	-	-	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
0	0	-	-	`(*.f64 y y)`
0	0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	1	(10864.0 18817.0)	-	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`#s(literal 9 binary64)`
0	0	-	-	`(.f64 #s(literal 2 binary64) (.f64 y y))`

Results

117.0ms

512×

valid

Compiler

Compiled 119 to 38 computations (68.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-pow: 10.0ms (39.4% of total)

ival-mult: 9.0ms (35.5% of total)

ival-sub: 3.0ms (11.8% of total)

ival-add: 2.0ms (7.9% of total)

const: 1.0ms (3.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

prune0.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.8%	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
✓	cost-diff	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Rules

1000×	`sum5-define`
850×	`fnmadd-define`
840×	`sum4-define`
650×	`fnmsub-define`
648×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	24	42
2	61	42
3	111	42
4	240	42
5	663	42
6	1681	42
7	2812	42
8	3295	42
9	3401	42
10	3409	42
0	3409	42

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
9
(pow x 4)
x
4
(pow y 4)
y
(* 2 (* y y))
2
(* y y)

Outputs
(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
9
#s(literal 9 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
(* 2 (* y y))
(.f64 y (.f64 y #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(* y y)
(*.f64 y y)

localize152.0ms (2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 y y))
✓	accuracy	64.1%	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))

Results

135.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-pow: 5.0ms (39.9% of total)

ival-mult: 4.0ms (31.9% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

const: 1.0ms (8% of total)

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

series6.0ms (0.1%)

Counts

6 → 96

Calls

Call 1

Inputs
#<alt (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (* 9 (pow x 4))>
#<alt (pow x 4)>
#<alt (* 2 (* y y))>
#<alt (* y y)>

Outputs
#<alt (- (* 2 (pow y 2)) (pow y 4))>
#<alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))>
#<alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))>
#<alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* 9 (pow x 4))>
#<alt (+ (* 2 (pow y 2)) (* 9 (pow x 4)))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* 9 (pow x 4))>
#<alt (+ (* -1 (pow y 4)) (* 9 (pow x 4)))>
#<alt (+ (* -1 (pow y 4)) (* 9 (pow x 4)))>
#<alt (+ (* -1 (pow y 4)) (* 9 (pow x 4)))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (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 y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
1.0ms	y	@	0	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
1.0ms	x	@	inf	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
0.0ms	y	@	0	(- (* 9 (pow x 4)) (pow y 4))
0.0ms	y	@	inf	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))

rewrite210.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2748×	`sum3-define`
2246×	`fnmadd-define`
1710×	`sum4-define`
1694×	`fnmsub-define`
1582×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	31	34
2	76	34
3	138	34
4	276	34
5	751	34
6	2947	34
7	6526	34
0	8400	34

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 306

Calls

Call 1

Inputs
(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(pow x 4)
(* 2 (* y y))
(* y y)

Outputs
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (.f64 y (*.f64 y #s(literal 2 binary64)))))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (.f64 y (*.f64 y #s(literal -2 binary64)))))
(+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 9 binary64) (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 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (*.f64 y #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (*.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(+.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal 0 binary64))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (.f64 (+.f64 (.f64 y (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y #s(literal 2 binary64))))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)))
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(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -9 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -9 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))))
(neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))
(+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 y (.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (-.f64 (.f64 y (.f64 y #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y #s(literal 2 binary64)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))
(-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))
(-.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y #s(literal 2 binary64)))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y (.f64 y #s(literal 2 binary64)) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 y (.f64 y #s(literal 2 binary64)) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 (.f64 y (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 y (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal -2 binary64))) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal -2 binary64))) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 (.f64 y (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (.f64 y (*.f64 y #s(literal -2 binary64))))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -2 binary64) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -2 binary64) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 (.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -2 binary64)) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -2 binary64)) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -9 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -9 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 2 binary64))) (neg.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y #s(literal 2 binary64)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -9 binary64) #s(literal 0 binary64))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -9 binary64) (-.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))) #s(literal -9 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -9 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.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))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 2 binary64))))
(+.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 y (.f64 y #s(literal 2 binary64)))) (.f64 y (.f64 y #s(literal -2 binary64))))
(-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal -2 binary64))))
(-.f64 (+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 y (.f64 y #s(literal 2 binary64)))) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 2 binary64)) y #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (.f64 y #s(literal -2 binary64)) (.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y #s(literal -2 binary64)) #s(literal 0 binary64) (.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64))
(neg.f64 (.f64 y (.f64 y #s(literal -2 binary64))))
(.f64 y (.f64 y #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(.f64 (.f64 y (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal -2 binary64))))
(.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -2 binary64))
(.f64 (.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)))
(-.f64 (*.f64 y y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) y))))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)))))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)))) (exp.f64 (log.f64 #s(literal -1 binary64))))

simplify194.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3474×	`-lowering-.f32`
3474×	`-lowering-.f64`
2556×	`sum5-define`
1192×	`sum4-define`
1190×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	660
1	110	606
2	260	606
3	561	606
4	1163	590
5	2869	590
6	7619	590
0	8219	590

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (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 y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (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 x 4)
(pow.f64 x #s(literal 4 binary64))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval47.0ms (0.6%)

Compiler: Compiled 8236 to 689 computations (91.6% saved)

prune92.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	399	3	402
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	400	3	403

Accuracy

18.8%

Counts

403 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.8%	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 #s(literal 2 binary64) (.f64 y y)))
▶	1.5%	(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
▶	9.6%	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))

Status

Accuracy

Program

▶

18.8%

(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))

▶

1.5%

(*.f64 y (*.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))

▶

9.6%

(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify117.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
✓	cost-diff	256	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 #s(literal 2 binary64) (.f64 y y)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 y y))
✓	cost-diff	0	(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
✓	cost-diff	0	(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
✓	cost-diff	0	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))

Rules

2320×	`sum5-define`
1592×	`fnmadd-define`
1380×	`sum3-define`
1368×	`sum4-define`
1228×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	43	77
2	119	77
3	248	77
4	474	77
5	1231	77
6	3067	77
7	5796	77
8	6072	77
9	6148	77
10	6156	77
0	6156	77

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 9 (pow x 4))
9
(pow x 4)
x
4
(* y (* y (- 2 (* y y))))
y
(* y (- 2 (* y y)))
(- 2 (* y y))
2
(* y y)
(+ (- (* 9 (pow x 4)) (* y (* y (* y y)))) (* 2 (* y y)))
(- (* 9 (pow x 4)) (* y (* y (* y y))))
(* 9 (pow x 4))
9
(pow x 4)
x
4
(* y (* y (* y y)))
y
(* y (* y y))
(* y y)
(* 2 (* y y))
2

Outputs
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
9
#s(literal 9 binary64)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
4
#s(literal 4 binary64)
(* y (* y (- 2 (* y y))))
(.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (*.f64 y y)))
y
(* y (- 2 (* y y)))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
(- 2 (* y y))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
2
#s(literal 2 binary64)
(* y y)
(*.f64 y y)
(+ (- (* 9 (pow x 4)) (* y (* y (* y y)))) (* 2 (* y y)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))))
(- (* 9 (pow x 4)) (* y (* y (* y y))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
9
#s(literal 9 binary64)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
4
#s(literal 4 binary64)
(* y (* y (* y y)))
(.f64 y (.f64 y (*.f64 y y)))
y
(* y (* y y))
(.f64 y (.f64 y y))
(* y y)
(*.f64 y y)
(* 2 (* y y))
(.f64 y (.f64 y #s(literal 2 binary64)))
2
#s(literal 2 binary64)

localize92.0ms (1.2%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 y y))
✓	accuracy	64.1%	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (*.f64 y y))
✓	accuracy	100.0%	(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
✓	accuracy	100.0%	(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))

Results

65.0ms

256×

valid

Compiler

Compiled 105 to 17 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (57.7% of total)

ival-pow: 3.0ms (17.3% of total)

ival-sub: 2.0ms (11.5% of total)

ival-add: 1.0ms (5.8% of total)

const: 1.0ms (5.8% of total)

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

series4.0ms (0%)

Counts

9 → 132

Calls

Call 1

Inputs
#<alt (* 9 (pow x 4))>
#<alt (pow x 4)>
#<alt (* y (* y (- 2 (* y y))))>
#<alt (* y (- 2 (* y y)))>
#<alt (- 2 (* y y))>
#<alt (* y y)>
#<alt (+ (- (* 9 (pow x 4)) (* y (* y (* y y)))) (* 2 (* y y)))>
#<alt (- (* 9 (pow x 4)) (* y (* y (* y y))))>
#<alt (* 2 (* y y))>

Outputs
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (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 y 2))>
#<alt (* (pow y 2) (+ 2 (* -1 (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (* -1 (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (* -1 (pow y 2))))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* -1 (pow y 2))))>
#<alt (* y (+ 2 (* -1 (pow y 2))))>
#<alt (* y (+ 2 (* -1 (pow y 2))))>
#<alt (* -1 (pow y 3))>
#<alt (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (- (* 2 (pow y 2)) (pow y 4))>
#<alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))>
#<alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))>
#<alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))>
#<alt (* 9 (pow x 4))>
#<alt (+ (* 2 (pow y 2)) (* 9 (pow x 4)))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* 9 (pow x 4))>
#<alt (+ (* -1 (pow y 4)) (* 9 (pow x 4)))>
#<alt (+ (* -1 (pow y 4)) (* 9 (pow x 4)))>
#<alt (+ (* -1 (pow y 4)) (* 9 (pow x 4)))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* y (* y (- 2 (* y y))))
0.0ms	y	@	inf	(* y (* y (- 2 (* y y))))
0.0ms	y	@	-inf	(* y (- 2 (* y y)))
0.0ms	y	@	0	(* y (- 2 (* y y)))
0.0ms	y	@	inf	(* y (- 2 (* y y)))

rewrite115.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`sum4-define`
1604×	`fnmadd-define`
1100×	`fmsub-define`
1090×	`sum3-define`
920×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	54	51
2	183	51
3	808	51
4	3806	51
0	8226	51

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 356

Calls

Call 1

Inputs
(* 9 (pow x 4))
(pow x 4)
(* y (* y (- 2 (* y y))))
(* y (- 2 (* y y)))
(- 2 (* y y))
(* y y)
(+ (- (* 9 (pow x 4)) (* y (* y (* y y)))) (* 2 (* y y)))
(- (* 9 (pow x 4)) (* y (* y (* y y))))
(* 2 (* y y))

Outputs
(+.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))
(+.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))) #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(-.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))
(-.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y #s(literal 2 binary64)))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 #s(literal 2 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 (+.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 (+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64)) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y #s(literal 2 binary64)))) (.f64 (*.f64 y y) #s(literal -2 binary64)))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
(fma.f64 y (.f64 y (.f64 y y)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 y #s(literal 0 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 y y) (.f64 y y) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y y) #s(literal 0 binary64) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 y (.f64 y y)) y (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y (.f64 y y)) #s(literal 0 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))) #s(literal 0 binary64))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (neg.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal -1 binary64) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -2 binary64))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 0 binary64) (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))))
(+.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y))))
(+.f64 (neg.f64 (.f64 (.f64 y y) (+.f64 (+.f64 (.f64 y y) #s(literal -2 binary64)) #s(literal -2 binary64)))) (.f64 (*.f64 y y) #s(literal -2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (+.f64 (+.f64 (.f64 y y) #s(literal -2 binary64)) #s(literal -2 binary64)))) (.f64 (.f64 y y) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 (.f64 y y) (+.f64 (+.f64 (.f64 y y) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (.f64 (.f64 y y) #s(literal -2 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) #s(literal -2 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (+.f64 (*.f64 y y) #s(literal -2 binary64)))))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (*.f64 y y) #s(literal -2 binary64)))
(-.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))) #s(literal 0 binary64))
(-.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))) #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y y) #s(literal 4 binary64))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 y (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (+.f64 (+.f64 (.f64 y y) #s(literal -2 binary64)) #s(literal -2 binary64)))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 y y) #s(literal -2 binary64))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 0 binary64))
(fma.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal 0 binary64) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 y (.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 y y) #s(literal 0 binary64) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(fma.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) #s(literal 0 binary64))
(fma.f64 (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y))) y #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) y) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) y (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y y) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 (.f64 y y) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y (.f64 y y)) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) #s(literal 0 binary64) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(fma.f64 (.f64 y (.f64 y (+.f64 (*.f64 y y) #s(literal -2 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 y y))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y (+.f64 (*.f64 y y) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (+.f64 (.f64 y y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(neg.f64 (.f64 y (.f64 y (+.f64 (*.f64 y y) #s(literal -2 binary64)))))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(.f64 y (+.f64 (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))) (.f64 y (+.f64 (.f64 y y) #s(literal 2 binary64)))))
(.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (*.f64 y y)))
(.f64 (.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 0 binary64)))
(.f64 (.f64 y y) (neg.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 0 binary64))))
(.f64 (.f64 y y) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 0 binary64))))
(.f64 (.f64 y y) (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64)))
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(neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal -2 binary64)) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(+.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))))))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))))) (.f64 y (.f64 y (.f64 y y))))
(+.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64)))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(-.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))))))
(-.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64))
(-.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y))))) (.f64 y (.f64 y #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))
(-.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(-.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (.f64 y (.f64 y (.f64 y y)))))
(-.f64 (+.f64 (+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (.f64 y y))))
(-.f64 (-.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y #s(literal 2 binary64)))) (.f64 (.f64 y y) #s(literal -2 binary64)))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y)))))
(fma.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 y #s(literal 0 binary64) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y y) #s(literal 0 binary64) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(fma.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 y (.f64 y y)) #s(literal 0 binary64) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) y (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y y) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y (.f64 y y)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))) #s(literal 1 binary64)))
(+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (.f64 y (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (.f64 y #s(literal -2 binary64))))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 2 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 y y) #s(literal -2 binary64)))
(+.f64 (neg.f64 (.f64 (.f64 y y) #s(literal -4 binary64))) (.f64 (.f64 y y) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 (.f64 y y) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 y y) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) #s(literal 1 binary64)) (.f64 y (.f64 y (*.f64 y y))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 y #s(literal -2 binary64))) (.f64 y (.f64 y #s(literal 2 binary64))))
(-.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))))
(-.f64 (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal -2 binary64)))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))
(-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y (.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(-.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 y (.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))))
(-.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y))))) (.f64 y (.f64 y (.f64 y y))))
(-.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 y y (*.f64 y y))
(fma.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 y #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y y) #s(literal 0 binary64) (.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 (.f64 y (.f64 y y)) #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) y (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y y))) (.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y (.f64 y y)) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 2 binary64)) y #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(neg.f64 (.f64 (.f64 y y) #s(literal -2 binary64)))
(.f64 y (.f64 y #s(literal 2 binary64)))
(.f64 y (+.f64 (.f64 y (.f64 y y)) (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(.f64 y (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 y (+.f64 (*.f64 y y) #s(literal 2 binary64)))))
(.f64 y (+.f64 (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 y (*.f64 y y))))
(.f64 y (+.f64 (.f64 y (+.f64 (.f64 y y) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))))
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 (.f64 y y) (+.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(.f64 (.f64 y y) (+.f64 (.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 0 binary64))))
(.f64 (.f64 y y) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 (.f64 y y) #s(literal 2 binary64))))
(.f64 (.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y)))
(.f64 (.f64 y y) (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 0 binary64)) (.f64 y y)))
(.f64 (.f64 y y) (+.f64 (+.f64 (.f64 y y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y))))
(.f64 (.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -2 binary64))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -2 binary64)))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(.f64 (.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal -2 binary64)))
(.f64 (.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))

simplify164.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1908×	`sum5-define`
1752×	`-lowering-.f32`
1752×	`-lowering-.f64`
1562×	`fma-define`
1188×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	885
1	143	755
2	358	755
3	980	755
4	2821	755
5	7608	755
0	8301	755

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (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 y 2))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* 2 y)
(* y (+ 2 (* -1 (pow y 2))))
(* y (+ 2 (* -1 (pow y 2))))
(* y (+ 2 (* -1 (pow y 2))))
(* -1 (pow y 3))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 3))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
2
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))

Outputs
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (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 x 4)
(pow.f64 x #s(literal 4 binary64))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* -1 (pow y 2))))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
(* y (+ 2 (* -1 (pow y 2))))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
(* y (+ 2 (* -1 (pow y 2))))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
(* -1 (pow y 3))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(- (* 2 (pow y 2)) (pow y 4))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))

eval91.0ms (1.2%)

Compiler: Compiled 11042 to 858 computations (92.2% saved)

prune53.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	605	2	607
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	607	3	610

Accuracy

100.0%

Counts

610 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

(fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 y y) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))

✓

18.8%

(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))

▶

11.1%

(*.f64 y (*.f64 y #s(literal 2 binary64)))

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 y y))
✓	cost-diff	6272	(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal 2 binary64)))

Rules

2104×	`sum5-define`
1512×	`sum3-define`
1282×	`fnmadd-define`
1112×	`fmsub-define`
1094×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	28	40
2	49	40
3	97	40
4	197	40
5	359	40
6	575	40
7	1068	40
8	3646	40
9	4641	40
10	5437	40
11	6025	40
12	6059	40
0	6059	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* y (* y 2))
y
(* y 2)
2
(+ (* (- 2 (* y y)) (* y y)) (* 9 (pow x 4)))
(- 2 (* y y))
2
(* y y)
y
(* 9 (pow x 4))
9
(pow x 4)
x
4

Outputs
(* y (* y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
y
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (- 2 (* y y)) (* y y)) (* 9 (pow x 4)))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(- 2 (* y y))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
2
#s(literal 2 binary64)
(* y y)
(*.f64 y y)
y
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
9
#s(literal 9 binary64)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
4
#s(literal 4 binary64)

localize102.0ms (1.4%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	100.0%	(.f64 y (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))

Results

86.0ms

256×

valid

Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions

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

ival-mult: 8.0ms (44.4% of total)

ival-pow: 4.0ms (22.2% of total)

compiled-spec: 3.0ms (16.6% of total)

ival-sub: 1.0ms (5.5% of total)

ival-add: 1.0ms (5.5% of total)

const: 1.0ms (5.5% of total)

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

series3.0ms (0%)

Counts

7 → 96

Calls

Call 1

Inputs
#<alt (* y (* y 2))>
#<alt (* y 2)>
#<alt (+ (* (- 2 (* y y)) (* y y)) (* 9 (pow x 4)))>
#<alt (- 2 (* y y))>
#<alt (* y y)>
#<alt (* 9 (pow x 4))>
#<alt (pow x 4)>

Outputs
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 9 (pow x 4))>
#<alt (+ (* 2 (pow y 2)) (* 9 (pow x 4)))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 2) (- 2 (pow y 2)))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt 2>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (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)>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* y 2)
0.0ms	x	@	0	(+ (* (- 2 (* y y)) (* y y)) (* 9 (pow x 4)))
0.0ms	y	@	0	(* y 2)
0.0ms	y	@	inf	(* y 2)
0.0ms	x	@	inf	(+ (* (- 2 (* y y)) (* y y)) (* 9 (pow x 4)))

rewrite133.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`fnmadd-define`
1580×	`fmsub-define`
1480×	`fmm-def`
1008×	`fma-lowering-fma.f32`
1008×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	32	33
2	59	33
3	116	33
4	238	33
5	446	33
6	804	33
7	2394	33
8	5014	33
0	8109	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 251

Calls

Call 1

Inputs
(* y (* y 2))
(* y 2)
(+ (* (- 2 (* y y)) (* y y)) (* 9 (pow x 4)))
(- 2 (* y y))
(* y y)
(* 9 (pow x 4))
(pow x 4)

Outputs
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 0 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (neg.f64 (+.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (+.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y #s(literal -2 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (*.f64 y #s(literal -2 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (.f64 y y)))
(+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))
(+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y (.f64 y #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) #s(literal 1 binary64)) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal -2 binary64))))
(-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))
(-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 y y)))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (.f64 y (.f64 y y)) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 y (.f64 y (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 y (.f64 y (+.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 2 binary64)) y #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (.f64 y y) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 (.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (+.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 y y)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y)))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (.f64 y y)))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) y (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(fma.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (.f64 y (.f64 y #s(literal -2 binary64))))
(.f64 y (.f64 y #s(literal 2 binary64)))
(.f64 y (.f64 y (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y))))
(.f64 y (.f64 y (+.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 2 binary64)) y)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64))
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 (.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y)))
(.f64 (.f64 y y) (+.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -2 binary64))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal -2 binary64))))
(.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(.f64 (.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 y (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))
(-.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64)))
(.f64 (.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(+.f64 (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64)))) #s(literal 0 binary64))
(+.f64 (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 y (*.f64 y #s(literal -2 binary64))))))
(+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(+.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(+.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 y (.f64 y (*.f64 y y)))))
(+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))))
(+.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64))))
(+.f64 (-.f64 (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y))))
(+.f64 (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y (+.f64 y y)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(+.f64 (+.f64 (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 y (*.f64 y #s(literal -2 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64))))
(+.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y (+.f64 y y))))) (.f64 y (.f64 y (.f64 y y))))
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 y (.f64 y (.f64 y (.f64 y #s(literal -2 binary64)))))) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64)))))
(-.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64))))
(-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (+.f64 (*.f64 y y) #s(literal -2 binary64)))))
(-.f64 (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64)))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64)))))
(-.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 y (*.f64 y #s(literal -2 binary64)))))
(-.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64)))) (.f64 y (.f64 y (*.f64 y y)))))
(-.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 y (.f64 y (*.f64 y y))))
(-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
(-.f64 (+.f64 (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (+.f64 (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 y (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(fma.f64 y (.f64 y (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 y (.f64 y (+.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y)))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y #s(literal 2 binary64)) y (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y y) (+.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y y) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 (.f64 y y) #s(literal -2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -2 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y (.f64 y y)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y #s(literal -2 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y))) y (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 y y))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(fma.f64 #s(literal -1 binary64) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 #s(literal -1 binary64) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 y (.f64 y #s(literal -2 binary64)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal -2 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) y (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (+.f64 (.f64 y y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal 0 binary64) y) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 y y)))))
(fma.f64 (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) y) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64)))) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -9 binary64) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(fma.f64 #s(literal -9 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(fma.f64 (.f64 y (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(neg.f64 (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64)))))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64)))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(.f64 (+.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) #s(literal -2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(+.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(-.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 0 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -2 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(fma.f64 (*.f64 y y) #s(literal -1 binary64) #s(literal 2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) y #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (+.f64 (*.f64 y y) #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 y y) #s(literal -2 binary64)))
(.f64 (+.f64 (.f64 y y) #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(-.f64 (*.f64 y y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(fma.f64 y y #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (neg.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(+.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(+.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 18 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64))))
(+.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64))))
(-.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 18 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -9 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -9 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 x x) #s(literal 0 binary64))
(neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -9 binary64))))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 #s(literal 9 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)))))
(.f64 #s(literal 9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))
(.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal -1 binary64))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -9 binary64))
(.f64 #s(literal -9 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) (neg.f64 (.f64 (.f64 x x) #s(literal -9 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x))
(.f64 (neg.f64 (.f64 #s(literal -9 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 x x))

simplify176.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3356×	`-lowering-.f32`
3356×	`-lowering-.f64`
1666×	`times-frac`
1598×	`/-lowering-/.f32`
1598×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	558
1	86	489
2	195	489
3	456	489
4	1050	480
5	2548	480
6	7655	480
0	8151	480

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (- 2 (pow y 2)))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
2
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (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)

Outputs
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (*.f64 y y)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (*.f64 y y)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* (pow y 2) (- 2 (pow y 2)))
(.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (*.f64 y y)))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (.f64 y y))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (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 x 4)
(pow.f64 x #s(literal 4 binary64))

eval42.0ms (0.6%)

Compiler: Compiled 6119 to 510 computations (91.7% saved)

prune34.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	371	3	374
Fresh	0	0	0
Picked	1	1	2
Done	1	0	1
Total	373	4	377

Accuracy

100.0%

Counts

377 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
▶	18.8%	(-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
▶	11.1%	(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))
✓	11.1%	(.f64 y (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 71 to 38 computations (46.5% saved)

simplify185.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 y y))
✓	cost-diff	6272	(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (*.f64 y y))))
✓	cost-diff	256	(-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
✓	cost-diff	0	(+.f64 (*.f64 y y) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64)))
✓	cost-diff	768	(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))

Rules

1914×	`sum5-define`
1366×	`-lowering-.f32`
1366×	`-lowering-.f64`
1300×	`+-lowering-+.f64`
1300×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	130
1	84	113
2	244	113
3	603	107
4	1290	107
5	4963	107
6	6600	107
7	7550	107
8	7944	107
0	8016	107

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (* y y) (+ (* y y) 2)) (* y (* y (* y y))))
(* (* y y) (+ (* y y) 2))
(* y y)
y
(+ (* y y) 2)
2
(* y (* y (* y y)))
(* y (* y y))
(- (- (* (* x x) (* (* x x) 9)) (* y (* y (* y y)))) (* y (* y -2)))
(- (* (* x x) (* (* x x) 9)) (* y (* y (* y y))))
(* (* x x) (* (* x x) 9))
(* x x)
x
(* (* x x) 9)
9
(* y (* y (* y y)))
y
(* y (* y y))
(* y y)
(* y (* y -2))
(* y -2)
-2
(+ (* (- 2 (* y y)) (* y y)) (* (* (* x x) (* x x)) 9))
(- 2 (* y y))
2
(* y y)
y
(* (* (* x x) (* x x)) 9)
(* (* x x) (* x x))
(* x x)
x
9

Outputs
(- (* (* y y) (+ (* y y) 2)) (* y (* y (* y y))))
(.f64 y (.f64 y #s(literal 2 binary64)))
(* (* y y) (+ (* y y) 2))
(.f64 y (.f64 y (+.f64 (*.f64 y y) #s(literal 2 binary64))))
(* y y)
(*.f64 y y)
y
(+ (* y y) 2)
(+.f64 (*.f64 y y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* y (* y (* y y)))
(.f64 y (.f64 y (*.f64 y y)))
(* y (* y y))
(.f64 y (.f64 y y))
(- (- (* (* x x) (* (* x x) 9)) (* y (* y (* y y)))) (* y (* y -2)))
(+.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(- (* (* x x) (* (* x x) 9)) (* y (* y (* y y))))
(-.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 x (.f64 x x)))) (.f64 y (.f64 y (*.f64 y y))))
(* (* x x) (* (* x x) 9))
(.f64 x (.f64 #s(literal 9 binary64) (.f64 x (.f64 x x))))
(* x x)
(*.f64 x x)
x
(* (* x x) 9)
(.f64 x (.f64 x #s(literal 9 binary64)))
9
#s(literal 9 binary64)
(* y (* y (* y y)))
(.f64 y (.f64 y (*.f64 y y)))
y
(* y (* y y))
(.f64 y (.f64 y y))
(* y y)
(*.f64 y y)
(* y (* y -2))
(.f64 y (.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(+ (* (- 2 (* y y)) (* y y)) (* (* (* x x) (* x x)) 9))
(+.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(- 2 (* y y))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
2
#s(literal 2 binary64)
(* y y)
(*.f64 y y)
y
(* (* (* x x) (* x x)) 9)
(.f64 x (.f64 #s(literal 9 binary64) (.f64 x (.f64 x x))))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
9
#s(literal 9 binary64)

localize125.0ms (1.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	64.1%	(-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (*.f64 y y))))
✓	accuracy	100.0%	(.f64 y (.f64 y (*.f64 y y)))
✓	accuracy	100.0%	(.f64 y (.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	62.5%	(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))

Results

91.0ms

256×

valid

Compiler

Compiled 184 to 23 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 26.0ms (70.8% of total)

ival-sub: 4.0ms (10.9% of total)

ival-add: 3.0ms (8.2% of total)

compiled-spec: 3.0ms (8.2% of total)

const: 1.0ms (2.7% of total)

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

series6.0ms (0.1%)

Counts

15 → 216

Calls

Call 1

Inputs
#<alt (- (* (* y y) (+ (* y y) 2)) (* y (* y (* y y))))>
#<alt (* (* y y) (+ (* y y) 2))>
#<alt (* y y)>
#<alt (+ (* y y) 2)>
#<alt (- (- (* (* x x) (* (* x x) 9)) (* y (* y (* y y)))) (* y (* y -2)))>
#<alt (- (* (* x x) (* (* x x) 9)) (* y (* y (* y y))))>
#<alt (* (* x x) (* (* x x) 9))>
#<alt (* x x)>
#<alt (+ (* (- 2 (* y y)) (* y y)) (* (* (* x x) (* x x)) 9))>
#<alt (- 2 (* y y))>
#<alt (* (* (* x x) (* x x)) 9)>
#<alt (* y (* y y))>
#<alt (* y (* y (* y y)))>
#<alt (* y -2)>
#<alt (* (* x x) (* x x))>

Outputs
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (pow y 2)))>
#<alt (* (pow y 2) (+ 2 (pow y 2)))>
#<alt (* (pow y 2) (+ 2 (pow y 2)))>
#<alt (pow y 4)>
#<alt (* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (pow y 4)>
#<alt (* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt 2>
#<alt (+ 2 (pow y 2))>
#<alt (+ 2 (pow y 2))>
#<alt (+ 2 (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))>
#<alt (* -1 (+ (* -2 (pow y 2)) (pow y 4)))>
#<alt (- (* 9 (pow x 4)) (+ (* -2 (pow y 2)) (pow y 4)))>
#<alt (- (* 9 (pow x 4)) (+ (* -2 (pow y 2)) (pow y 4)))>
#<alt (- (* 9 (pow x 4)) (+ (* -2 (pow y 2)) (pow y 4)))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))>
#<alt (* 9 (pow x 4))>
#<alt (+ (* 2 (pow y 2)) (* 9 (pow x 4)))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (- (* 9 (pow x 4)) (pow y 4))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))>
#<alt (* 9 (pow x 4))>
#<alt (+ (* -1 (pow y 4)) (* 9 (pow x 4)))>
#<alt (+ (* -1 (pow y 4)) (* 9 (pow x 4)))>
#<alt (+ (* -1 (pow y 4)) (* 9 (pow x 4)))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 9 (pow x 4))>
#<alt (+ (* 2 (pow y 2)) (* 9 (pow x 4)))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))>
#<alt (* (pow y 2) (- 2 (pow y 2)))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))>
#<alt (+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt (* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))>
#<alt 2>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (* 9 (pow x 4))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<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 (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<alt (* -2 y)>
#<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)>

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(- (* (* y y) (+ (* y y) 2)) (* y (* y (* y y))))
0.0ms	x	@	0	(- (- (* (* x x) (* (* x x) 9)) (* y (* y (* y y)))) (* y (* y -2)))
0.0ms	y	@	-inf	(* y (* y y))
0.0ms	y	@	0	(* y (* y y))
0.0ms	y	@	inf	(* (* y y) (+ (* y y) 2))

rewrite197.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`sum3-define`
1658×	`fnmadd-define`
1630×	`fma-lowering-fma.f32`
1630×	`fma-lowering-fma.f64`
1582×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	98
1	96	83
2	322	83
3	1614	77
4	5938	77
0	8009	77

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 595

Calls

Call 1

Inputs
(- (* (* y y) (+ (* y y) 2)) (* y (* y (* y y))))
(* (* y y) (+ (* y y) 2))
(* y y)
(+ (* y y) 2)
(- (- (* (* x x) (* (* x x) 9)) (* y (* y (* y y)))) (* y (* y -2)))
(- (* (* x x) (* (* x x) 9)) (* y (* y (* y y))))
(* (* x x) (* (* x x) 9))
(* x x)
(+ (* (- 2 (* y y)) (* y y)) (* (* (* x x) (* x x)) 9))
(- 2 (* y y))
(* (* (* x x) (* x x)) 9)
(* y (* y y))
(* y (* y (* y y)))
(* y -2)
(* (* x x) (* x x))

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

simplify244.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3114×	`-lowering-.f32`
3114×	`-lowering-.f64`
1308×	`+-lowering-+.f64`
1308×	`+-lowering-+.f32`
1232×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	1275
1	178	1160
2	432	1154
3	1265	1154
4	3435	1154
0	8302	1154

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (pow y 2)))
(* (pow y 2) (+ 2 (pow y 2)))
(* (pow y 2) (+ 2 (pow y 2)))
(pow y 4)
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(pow y 4)
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
2
(+ 2 (pow y 2))
(+ 2 (pow y 2))
(+ 2 (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(* -1 (+ (* -2 (pow y 2)) (pow y 4)))
(- (* 9 (pow x 4)) (+ (* -2 (pow y 2)) (pow y 4)))
(- (* 9 (pow x 4)) (+ (* -2 (pow y 2)) (pow y 4)))
(- (* 9 (pow x 4)) (+ (* -2 (pow y 2)) (pow y 4)))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (- 2 (pow y 2)))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
2
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(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)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(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)

Outputs
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (pow y 2)))
(.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (*.f64 y y)))
(* (pow y 2) (+ 2 (pow y 2)))
(.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (*.f64 y y)))
(* (pow y 2) (+ 2 (pow y 2)))
(.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (*.f64 y y)))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (*.f64 y y)))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (*.f64 y y)))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (*.f64 y y)))
(* (pow y 4) (+ 1 (* 2 (/ 1 (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (*.f64 y y)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
2
#s(literal 2 binary64)
(+ 2 (pow y 2))
(+.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (pow y 2))
(+.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (pow y 2))
(+.f64 #s(literal 2 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* 2 (/ 1 (pow y 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (+ (* -2 (pow y 2)) (pow y 4)))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(- (* 9 (pow x 4)) (+ (* -2 (pow y 2)) (pow y 4)))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(- (* 9 (pow x 4)) (+ (* -2 (pow y 2)) (pow y 4)))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(- (* 9 (pow x 4)) (+ (* -2 (pow y 2)) (pow y 4)))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (+ 9 (* -1 (/ (+ (* -2 (pow y 2)) (pow y 4)) (pow x 4)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(- (* 9 (pow x 4)) (pow y 4))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* -1 (pow y 4))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow y 2) (- 2 (pow y 2)))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (.f64 y y)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 9 (pow x 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(pow y 4)
(.f64 y (.f64 y (*.f64 y y)))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 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))

eval239.0ms (3.2%)

Compiler: Compiled 23165 to 1181 computations (94.9% saved)

prune105.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1052	0	1052
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	1052	4	1056

Accuracy

100.0%

Counts

1056 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
✓	18.8%	(-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
✓	11.1%	(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))
✓	11.1%	(.f64 y (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 198 to 74 computations (62.6% saved)

regimes14.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 y (.f64 y #s(literal 2 binary64)))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))
(-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 #s(literal 2 binary64) (.f64 y y)))
(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Outputs
(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))

Calls

5 calls:

3.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
2.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
100.0%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
100.0%	1	`(pow.f64 x #s(literal 4 binary64))`

Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes14.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 y (.f64 y #s(literal 2 binary64)))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))
(-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))

Outputs
(-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal -2 binary64))))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	y

Results

Accuracy	Segments	Branch
18.8%	1	`x`
18.8%	1	`y`
18.8%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
18.8%	1	`(pow.f64 x #s(literal 4 binary64))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 y (*.f64 y #s(literal 2 binary64)))

(*.f64 y (*.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))

(-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y y) #s(literal 2 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))

Outputs
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))

Calls

2 calls:

6.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
11.1%	1	`x`
11.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -6.2b remaining (-10.8%)

Threshold costs -6.2b (-10.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 y (.f64 y #s(literal 2 binary64)))
(.f64 y (.f64 y (-.f64 #s(literal 2 binary64) (*.f64 y y))))

Outputs
(.f64 y (.f64 y #s(literal 2 binary64)))

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
11.1%	1	`x`
11.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
24×	`+-commutative_binary64`
22×	`sub-neg_binary64`
18×	`distribute-lft-neg-in_binary64`
18×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	63
1	50	63
2	76	63
3	97	63
4	107	63
5	111	63
6	112	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
(-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))
(.f64 y (.f64 y #s(literal 2 binary64)))

Outputs
(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
(-.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y (*.f64 y #s(literal -2 binary64))))
(-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 y (.f64 y (.f64 y y))))
(-.f64 (.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))
(.f64 y (.f64 y #s(literal 2 binary64)))
(.f64 y (.f64 #s(literal 2 binary64) y))

soundness2.1s (27.6%)

Rules

3474×	`-lowering-.f32`
3474×	`-lowering-.f64`
2556×	`sum5-define`
1908×	`sum5-define`
1858×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	54	51
2	183	51
3	808	51
4	3806	51
0	8226	51
0	13	33
1	32	33
2	59	33
3	116	33
4	238	33
5	446	33
6	804	33
7	2394	33
8	5014	33
0	8109	33
0	42	660
1	110	606
2	260	606
3	561	606
4	1163	590
5	2869	590
6	7619	590
0	8219	590
0	52	885
1	143	755
2	358	755
3	980	755
4	2821	755
5	7608	755
0	8301	755

Stop Event

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

Compiler

Compiled 199 to 108 computations (45.7% saved)

preprocess31.0ms (0.4%)

Compiler: Compiled 164 to 72 computations (56.1% saved)

analyze0.0ms (0%)

sample1.9s (25.2%)

preprocess156.0ms (2.1%)

explain167.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify70.0ms (0.9%)

localize152.0ms (2%)

series6.0ms (0.1%)

rewrite210.0ms (2.8%)

simplify194.0ms (2.6%)

eval47.0ms (0.6%)

prune92.0ms (1.2%)

simplify117.0ms (1.6%)

localize92.0ms (1.2%)

series4.0ms (0%)

rewrite115.0ms (1.5%)

simplify164.0ms (2.2%)

eval91.0ms (1.2%)

prune53.0ms (0.7%)

simplify111.0ms (1.5%)

localize102.0ms (1.4%)

series3.0ms (0%)

rewrite133.0ms (1.8%)

simplify176.0ms (2.4%)

eval42.0ms (0.6%)

prune34.0ms (0.5%)

simplify185.0ms (2.5%)

localize125.0ms (1.7%)

series6.0ms (0.1%)

rewrite197.0ms (2.6%)

simplify244.0ms (3.3%)

eval239.0ms (3.2%)

prune105.0ms (1.4%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

simplify11.0ms (0.1%)

soundness2.1s (27.6%)

preprocess31.0ms (0.4%)

end0.0ms (0%)

Profiling