Metrics for Bouland and Aaronson, Equation (25)

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 33 to 20 computations (39.4% saved)

sample1.5s (13.3%)

Memory

19.3MiB live, 2 267.9MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 895.0ms

ival-mult: 439.0ms (49.1% of total)

ival-add: 160.0ms (17.9% of total)

ival-pow2: 152.0ms (17% of total)

ival-sub: 124.0ms (13.9% of total)

exact: 11.0ms (1.2% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess768.0ms (6.9%)

Memory

-80.3MiB live, 1 143.2MiB allocated

Algorithm

2×	egg-herbie

Rules

21 268×	`accelerator-lowering-fma.f32`
21 268×	`accelerator-lowering-fma.f64`
4 248×	`--lowering--.f32`
4 248×	`--lowering--.f64`
3 998×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	190
1	192	188
2	706	186
3	2940	186
4	6753	186
0	19	31
1	57	31
2	175	31
3	580	31
4	1944	31
5	3471	31
0	8055	26

Stop Event

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

Calls

Call 1

Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)

Outputs

(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)

(fma.f64 (*.f64 b b) (+.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))

Call 2

Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1)
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1)
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (+ 1 b)) (* (* a a) (- 1 (* 3 b)))))) 1)

Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (* 4 (+ (+ (* a a) (pow a 3)) (* (* b b) (+ 1 (* a -3))))) (+ (pow (+ (* a a) (* b b)) 2) -1))
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1)
(+ (* 4 (+ (- (* a a) (pow a 3)) (* b (* b (+ 1 (* a 3)))))) (+ (pow (+ (* a a) (* b b)) 2) -1))
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1)
(+ (* 4 (+ (+ (* a a) (pow a 3)) (* (* b b) (+ 1 (* a -3))))) (+ (pow (+ (* a a) (* b b)) 2) -1))
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1))
(+ (* 4 (- (pow a 3) (+ (* a a) (* b (* b (+ 1 (* a 3))))))) (- 1 (pow (+ (* a a) (* b b)) 2)))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1))
(+ (* 4 (+ (* (* a a) (- -1 a)) (* (* b b) (+ (* a 3) -1)))) (- 1 (pow (+ (* a a) (* b b)) 2)))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (+ 1 b)) (* (* a a) (- 1 (* 3 b)))))) 1)
(+ (* 4 (+ (* a a) (+ (* b (+ (* (* a a) -3) b)) (pow b 3)))) (+ (pow (+ (* a a) (* b b)) 2) -1))

Symmetry

(abs b)

explain352.0ms (3.2%)

Memory

-34.8MiB live, 730.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
48	-	0	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
42	-	0	-	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`
20	-	3	(-3625667.106243308 5.014034265034602e-161)	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	0	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(+.f64 #s(literal 1 binary64) a)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
0	-	0	-	`b`
0	-	0	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`	nan-rescue	48	0
↳	`(*.f64 b b)`	overflow	65
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	155
↳	`(*.f64 a a)`	overflow	71
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	119
↳	`(*.f64 b b)`	overflow	65
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	87
↳	`(*.f64 a a)`	overflow	71
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	85
↳	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`	overflow	130
↳	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`	overflow	130
`+.f64`	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`	nan-rescue	42	0
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	87
↳	`(*.f64 a a)`	overflow	71
↳	`(*.f64 b b)`	overflow	65
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	85

Confusion

	Predicted +	Predicted -
+	67	0
-	0	189

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	0	0	189

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	189
1	44
2	23

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

78.0ms	478×	0	valid
23.0ms	16×	1	valid
6.0ms	18×	2	valid

Compiler

Compiled 372 to 80 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 21.0ms (48.5% of total)

ival-add: 9.0ms (20.8% of total)

ival-sub: 5.0ms (11.5% of total)

ival-pow2: 5.0ms (11.5% of total)

adjust: 1.0ms (2.3% of total)

ival-true: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

73.7%

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify980.0ms (8.8%)

Memory

-5.5MiB live, 805.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	128	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
✓	cost-diff	256	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
✓	cost-diff	5440	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Rules

21 268×	`accelerator-lowering-fma.f32`
21 268×	`accelerator-lowering-fma.f64`
4 248×	`--lowering--.f32`
4 248×	`--lowering--.f64`
3 998×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	151
1	57	151
2	175	151
3	580	151
4	1944	151
5	3471	151
0	8055	130

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(pow (+ (* a a) (* b b)) 2)
(+ (* a a) (* b b))
(* a a)
a
(* b b)
b
2
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
4
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(* (* a a) (+ 1 a))
(+ 1 a)
1
(* (* b b) (- 1 (* 3 a)))
(- 1 (* 3 a))
(* 3 a)
3

Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(fma.f64 (.f64 b b) (+.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -12 binary64) (fma.f64 a a (.f64 b b))))))
(pow (+ (* a a) (* b b)) 2)
(.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))
(+ (* a a) (* b b))
(fma.f64 a a (*.f64 b b))
(* a a)
(*.f64 a a)
a
(* b b)
(*.f64 b b)
b
2
#s(literal 2 binary64)
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
(fma.f64 a (.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
4
#s(literal 4 binary64)
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b)))
(* (* a a) (+ 1 a))
(*.f64 a (fma.f64 a a a))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* b b) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(- 1 (* 3 a))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize58.0ms (0.5%)

Memory

-16.0MiB live, 111.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
✓	accuracy	93.4%	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	accuracy	85.1%	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
✓	accuracy	85.0%	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Samples

26.0ms	239×	0	valid
3.0ms	9×	2	valid
2.0ms	8×	1	valid

Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions

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

ival-mult: 9.0ms (45.7% of total)

ival-add: 5.0ms (25.4% of total)

ival-sub: 2.0ms (10.1% of total)

ival-pow2: 2.0ms (10.1% of total)

adjust: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (pow (+ (* a a) (* b b)) 2)>
#<alt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))>
#<alt (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)>
#<alt (+ (* a a) (* b b))>
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))>
#<alt (* (* b b) (- 1 (* 3 a)))>

Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
#<alt (* (pow a 2) (+ 1 a))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
0.0ms	a	@	0	(pow (+ (* a a) (* b b)) 2)
0.0ms	b	@	0	(pow (+ (* a a) (* b b)) 2)
0.0ms	a	@	inf	(pow (+ (* a a) (* b b)) 2)
0.0ms	b	@	inf	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

rewrite408.0ms (3.7%)

Memory

-7.3MiB live, 743.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 620×	`accelerator-lowering-fma.f32`
5 620×	`accelerator-lowering-fma.f64`
4 066×	`/-lowering-/.f32`
4 066×	`/-lowering-/.f64`
3 976×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	102
1	132	102
2	1240	102
0	8235	82

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 540

Calls

Call 1

Inputs
(pow (+ (* a a) (* b b)) 2)
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (* a a) (* b b))
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(* (* b b) (- 1 (* 3 a)))

Outputs
(+.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)))
(+.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)))
(+.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))
(+.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (.f64 b b)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (.f64 b b) (fma.f64 a a (.f64 b b)) (.f64 (.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 a a) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 b b)))
(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 b b) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 a a)))
(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a)))) (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a)))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (.f64 b b)))))
(/.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))) (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a)))))
(/.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a)))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (fma.f64 a a (.f64 b b))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (neg.f64 (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (fma.f64 a a (.f64 b b)))) (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (.f64 b b)))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (-.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (-.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (-.f64 (.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a)))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 (.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a)))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) (.f64 (/.f64 (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))) (+.f64 (/.f64 (.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a)))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 a (fma.f64 a a a)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))
(.f64 (fma.f64 (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (.f64 (.f64 a (fma.f64 a a a)) (.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a))) (.f64 (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a)))))))
(.f64 (fma.f64 (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (.f64 (.f64 a (fma.f64 a a a)) (.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a)))) (.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))))
(.f64 (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 a (fma.f64 a a a))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (.f64 (.f64 a (fma.f64 a a a)) (.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a))) (.f64 (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a))))))))
(.f64 (neg.f64 (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 a (fma.f64 a a a))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))))
(.f64 (-.f64 (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (.f64 a (.f64 (fma.f64 a a a) (.f64 a (fma.f64 a a a))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 a (fma.f64 a a a)))))
(+.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64))))
(+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b)))
(fma.f64 b b (.f64 (.f64 b b) (*.f64 a #s(literal -3 binary64))))
(fma.f64 b b (.f64 (.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64))))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b)))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 (.f64 b b) (*.f64 a #s(literal -3 binary64))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 (.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (.f64 b b))))
(/.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))) (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64)))) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))) (.f64 b b)) (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (.f64 b b)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))))) (neg.f64 (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))) (.f64 b b))) (neg.f64 (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (.f64 b b))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (pow.f64 (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64))) (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (*.f64 a #s(literal -3 binary64)))))))
(/.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (pow.f64 (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b)) #s(literal 3 binary64))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 (.f64 b b) (.f64 (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64))) (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64))))) (-.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64)))))
(/.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b))))
(.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (.f64 b b) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b))
(.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) b)
(.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))) (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))

simplify440.0ms (4%)

Memory

36.8MiB live, 780.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22 048×	`accelerator-lowering-fma.f32`
22 048×	`accelerator-lowering-fma.f64`
4 280×	`-lowering-.f32`
4 280×	`-lowering-.f64`
3 958×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	2332
1	600	2246
2	1837	2184
3	5819	2098
0	8170	1858

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* (pow a 2) (+ 1 a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* -3 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))

Outputs
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 (.f64 b b) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(+ (* 4 (pow b 2)) (pow b 4))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a)) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 a (.f64 a (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b #s(literal 2 binary64)) (.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 #s(literal 4 binary64) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b)) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (*.f64 a a))))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (*.f64 a a))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64))) (.f64 a (.f64 a (.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64))) (.f64 a (.f64 a (.f64 a a))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64))) (.f64 a (.f64 a (.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64))) (.f64 a (.f64 a (.f64 a a))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 (fma.f64 a (.f64 a (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b #s(literal 2 binary64)) (.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 a a))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) #s(literal -1 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64))) (.f64 a (.f64 a (.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64))) (.f64 a (.f64 a (.f64 a a)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64))) (.f64 a (.f64 a (.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64))) (.f64 a (.f64 a (.f64 a a)))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b) (.f64 a a))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 a (fma.f64 b (.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (.f64 b b))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 a (fma.f64 a a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(.f64 (.f64 a a) (fma.f64 a (fma.f64 (.f64 b b) (/.f64 #s(literal -3 binary64) (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(.f64 (.f64 a a) (+.f64 a (fma.f64 a (.f64 (/.f64 b (.f64 a a)) (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) #s(literal 1 binary64))))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 a (fma.f64 a a a))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal -3 binary64) a) #s(literal 1 binary64)) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)) a)))
(* (pow a 2) (+ 1 a))
(*.f64 a (fma.f64 a a a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 a (fma.f64 b (.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (.f64 b b))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 a (fma.f64 b (.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (.f64 b b))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 a (fma.f64 b (.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (.f64 b b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* -3 (* a (pow b 2)))
(.f64 a (.f64 (*.f64 b b) #s(literal -3 binary64)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* -3 (* a (pow b 2)))
(.f64 a (.f64 (*.f64 b b) #s(literal -3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))

eval109.0ms (1%)

Memory: -15.5MiB live, 179.8MiB allocated
Compiler: Compiled 59 944 to 2 576 computations (95.7% saved)

prune87.0ms (0.8%)

Memory

4.5MiB live, 183.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	677	7	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	678	7	685

Accuracy

100.0%

Counts

685 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.1%	(fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
	18.7%	(fma.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
▶	72.5%	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
▶	70.3%	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
▶	73.7%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
▶	46.4%	(.f64 b (.f64 b (*.f64 b b)))
▶	44.2%	(.f64 a (.f64 a (*.f64 a a)))

Compiler

Compiled 384 to 176 computations (54.2% saved)

simplify452.0ms (4.1%)

Memory

29.6MiB live, 570.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
✓	cost-diff	192	(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
✓	cost-diff	0	(fma.f64 b b #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 a a)))
✓	cost-diff	128	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
✓	cost-diff	128	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
✓	cost-diff	448	(+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
✓	cost-diff	1088	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))

Rules

23 514×	`accelerator-lowering-fma.f32`
23 514×	`accelerator-lowering-fma.f64`
4 358×	`+-lowering-+.f64`
4 358×	`+-lowering-+.f32`
4 096×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	264
1	99	250
2	266	250
3	863	250
4	2423	246
5	4033	246
0	8532	214

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(+ (* a a) (* b b))
a
(* b b)
b
(/ 1 (+ (* a a) (* b b)))
1
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
4
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(* (* a a) (+ 1 a))
(* a a)
(+ 1 a)
(* (* b b) (- 1 (* 3 a)))
(- 1 (* 3 a))
(* 3 a)
3
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
(* b (* b (* b b)))
b
(* b (* b b))
(* b b)
(+ (* (* b b) (+ (* b b) 4)) -1)
(* b b)
b
(+ (* b b) 4)
4
-1
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)
(* a a)
a
(+ (* a a) (+ (* 4 a) 4))
(+ (* 4 a) 4)
4
-1

Outputs
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(fma.f64 b (.f64 b (+.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(fma.f64 a (.f64 a (fma.f64 b b (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 b b) (+.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))
(+ (* a a) (* b b))
(fma.f64 a a (*.f64 b b))
a
(* b b)
(*.f64 b b)
b
(/ 1 (+ (* a a) (* b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
1
#s(literal 1 binary64)
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
(fma.f64 a (.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
4
#s(literal 4 binary64)
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 a (.f64 b #s(literal -3 binary64)) b)))
(* (* a a) (+ 1 a))
(*.f64 a (fma.f64 a a a))
(* a a)
(*.f64 a a)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(* (* b b) (- 1 (* 3 a)))
(.f64 b (fma.f64 a (.f64 b #s(literal -3 binary64)) b))
(- 1 (* 3 a))
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* a (* a (* a a)))
(.f64 a (.f64 a (*.f64 a a)))
a
(* a (* a a))
(.f64 a (.f64 a a))
(* a a)
(*.f64 a a)
(* b (* b (* b b)))
(.f64 b (.f64 b (*.f64 b b)))
b
(* b (* b b))
(.f64 b (.f64 b b))
(* b b)
(*.f64 b b)
(+ (* (* b b) (+ (* b b) 4)) -1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* b b)
(*.f64 b b)
b
(+ (* b b) 4)
(fma.f64 b b #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(* a a)
(*.f64 a a)
a
(+ (* a a) (+ (* 4 a) 4))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(+ (* 4 a) 4)
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)

localize114.0ms (1%)

Memory

-18.9MiB live, 145.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 b b #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
✓	accuracy	93.4%	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	accuracy	85.1%	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
✓	accuracy	85.0%	(+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Samples

49.0ms	239×	0	valid
8.0ms	9×	2	valid
3.0ms	8×	1	valid

Compiler

Compiled 257 to 34 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 21.0ms (49.5% of total)

ival-add: 10.0ms (23.6% of total)

ival-div: 7.0ms (16.5% of total)

ival-sub: 2.0ms (4.7% of total)

adjust: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

17 → 276

Calls

Call 1

Inputs
#<alt (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))>
#<alt (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))>
#<alt (- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)>
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))>
#<alt (* a (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (* b b)>
#<alt (+ (* (* b b) (+ (* b b) 4)) -1)>
#<alt (+ (* b b) 4)>
#<alt (+ (* a a) (+ (* 4 a) 4))>
#<alt (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)>
#<alt (+ (* 4 a) 4)>
#<alt (* (* b b) (- 1 (* 3 a)))>
#<alt (/ 1 (+ (* a a) (* b b)))>

Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
#<alt (* (pow a 2) (+ 1 a))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt 4>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* 4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* 4 a))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>

Calls

69 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(* a (* a a))
1.0ms	b	@	0	(/ 1 (+ (* a a) (* b b)))
0.0ms	a	@	0	(/ 1 (+ (* a a) (* b b)))
0.0ms	b	@	inf	(/ 1 (+ (* a a) (* b b)))
0.0ms	a	@	inf	(/ 1 (+ (* a a) (* b b)))

rewrite446.0ms (4%)

Memory

-30.7MiB live, 567.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 946×	`-lowering-.f32`
4 946×	`-lowering-.f64`
4 156×	`/-lowering-/.f32`
4 156×	`/-lowering-/.f64`
3 554×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	195
1	229	181
2	2174	163
0	8703	140

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 751

Calls

Call 1

Inputs
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))
(* a (* a (* a a)))
(* a (* a a))
(* a a)
(* b (* b (* b b)))
(* b (* b b))
(* b b)
(+ (* (* b b) (+ (* b b) 4)) -1)
(+ (* b b) 4)
(+ (* a a) (+ (* 4 a) 4))
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)
(+ (* 4 a) 4)
(* (* b b) (- 1 (* 3 a)))
(/ 1 (+ (* a a) (* b b)))

Outputs
(+.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 a a)) (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)))
(+.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)) (.f64 (fma.f64 b b (.f64 a a)) (.f64 a a)))
(+.f64 (.f64 (.f64 a a) (fma.f64 b b (.f64 a a))) (.f64 (.f64 b b) (fma.f64 b b (.f64 a a))))
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(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal 16 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 16 binary64)) (fma.f64 a #s(literal 4 binary64) #s(literal -4 binary64))) (.f64 (fma.f64 a #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 a #s(literal 4 binary64) #s(literal -4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (.f64 a #s(literal 16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal 16 binary64)) #s(literal -16 binary64)))) (neg.f64 (neg.f64 (fma.f64 a #s(literal 4 binary64) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal 16 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (.f64 a #s(literal 16 binary64))) (fma.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 a (*.f64 a #s(literal 16 binary64)) #s(literal -16 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 4 binary64))
(.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 a #s(literal 16 binary64)))))
(.f64 (fma.f64 a (.f64 a #s(literal 16 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal -4 binary64))))
(+.f64 (.f64 (.f64 b b) #s(literal 1 binary64)) (.f64 (.f64 b b) (*.f64 a #s(literal -3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 (.f64 b b) (.f64 a #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 b b)))
(/.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64)))) (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64)))) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))) (.f64 b b)) (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (.f64 b b)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))))) (neg.f64 (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -27 binary64))) (.f64 b b))) (neg.f64 (fma.f64 (.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (.f64 b b))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (.f64 b b) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b))
(.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) b)
(exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 a a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a))))))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (.f64 a a))))
(.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)))

simplify616.0ms (5.5%)

Memory

19.2MiB live, 495.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 750×	`accelerator-lowering-fma.f32`
18 750×	`accelerator-lowering-fma.f64`
4 368×	`+-lowering-+.f64`
4 368×	`+-lowering-+.f32`
3 892×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	3272
1	886	3169
2	2617	3072
3	7759	3072
0	8451	2841

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* (pow a 2) (+ 1 a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
4
(+ 4 (* 4 a))
(+ 4 (* 4 a))
(+ 4 (* 4 a))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* -3 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))

Outputs
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 b b))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 1 binary64))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 1 binary64))))
(+ (* 4 (pow b 2)) (pow b 4))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a)) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 b b) (.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) (+.f64 (fma.f64 (/.f64 (.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 b (.f64 b (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 1 binary64)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 1 binary64)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 1 binary64)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))) #s(literal 1 binary64)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 (fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 b b) (.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) (+.f64 (fma.f64 (/.f64 (.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 a a))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (.f64 b (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 b b)))) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (.f64 b (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 b b)))) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
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(fma.f64 (.f64 a a) (.f64 (.f64 a a) (fma.f64 (neg.f64 a) (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))))) (/.f64 (fma.f64 a (/.f64 a (.f64 b (neg.f64 b))) #s(literal 1 binary64)) (*.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 b b) (.f64 a a))) (.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 b b) (.f64 a a))) (.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (.f64 b b) (/.f64 (.f64 b b) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (.f64 b b) (.f64 b (fma.f64 b (/.f64 (.f64 b (neg.f64 b)) (pow.f64 a #s(literal 8 binary64))) (/.f64 b (pow.f64 a #s(literal 6 binary64))))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 a (.f64 b (neg.f64 b))) #s(literal 1 binary64)) (.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 (.f64 a a) (.f64 b b))) (.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 (.f64 a a) (.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 a (.f64 b (neg.f64 b))) #s(literal 1 binary64)) (.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 (.f64 a a) (.f64 b b))) (.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 (.f64 a a) (.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 b b))

eval190.0ms (1.7%)

Memory: 12.1MiB live, 201.1MiB allocated
Compiler: Compiled 75 068 to 3 311 computations (95.6% saved)

prune142.0ms (1.3%)

Memory

6.4MiB live, 209.5MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 128	11	1 139
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	1 132	14	1 146

Accuracy

100.0%

Counts

1 146 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.3%	(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
✓	72.5%	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
▶	47.1%	(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
	33.2%	(fma.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))))) #s(literal -1 binary64))
▶	53.7%	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
▶	47.0%	(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
	69.8%	(fma.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
	55.9%	(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
	46.5%	(pow.f64 b #s(literal 4 binary64))
	44.2%	(pow.f64 a #s(literal 4 binary64))
	44.2%	(.f64 (.f64 a a) (*.f64 a a))
✓	46.4%	(.f64 b (.f64 b (*.f64 b b)))
✓	44.2%	(.f64 a (.f64 a (*.f64 a a)))
▶	27.0%	#s(literal -1 binary64)

Compiler

Compiled 293 to 173 computations (41% saved)

simplify381.0ms (3.4%)

Memory

-53.3MiB live, 335.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(+.f64 a #s(literal 4 binary64))
✓	cost-diff	0	(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))

Rules

14 734×	`accelerator-lowering-fma.f32`
14 734×	`accelerator-lowering-fma.f64`
3 972×	`+-lowering-+.f64`
3 972×	`+-lowering-+.f32`
2 988×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	142
1	68	132
2	150	122
3	370	122
4	731	122
5	892	122
6	967	122
7	993	122
8	1160	122
9	2193	122
10	4545	122
0	8151	109

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ (* a (+ a 4)) 4) (* a a)) -1)
(+ (* a (+ a 4)) 4)
a
(+ a 4)
4
(* a a)
-1
-1
(+ (* (* b b) 4) -1)
(* b b)
b
4
-1
(+ (* (* a a) (+ (* 4 a) 4)) -1)
(* a a)
a
(+ (* 4 a) 4)
4
-1
(+ (* (* b b) (/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))) -1)
(* b b)
b
(/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))
1
(/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16))
(+ (* b b) -4)
-4
(+ (* (* b b) (* b b)) -16)
-16
-1

Outputs
(+ (* (+ (* a (+ a 4)) 4) (* a a)) -1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(+ (* a (+ a 4)) 4)
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
a
(+ a 4)
(+.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* a a)
(*.f64 a a)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(+ (* (* b b) 4) -1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(* b b)
(*.f64 b b)
b
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* (* a a) (+ (* 4 a) 4)) -1)
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(* a a)
(*.f64 a a)
a
(+ (* 4 a) 4)
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* (* b b) (/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))) -1)
(fma.f64 (.f64 b b) (/.f64 (fma.f64 b (.f64 b (*.f64 b b)) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64))
(* b b)
(*.f64 b b)
b
(/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))
(/.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16))
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal -16 binary64)))
(+ (* b b) -4)
(fma.f64 b b #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(+ (* (* b b) (* b b)) -16)
(fma.f64 b (.f64 b (.f64 b b)) #s(literal -16 binary64))
-16
#s(literal -16 binary64)
-1
#s(literal -1 binary64)

localize70.0ms (0.6%)

Memory

3.7MiB live, 118.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))))
✓	accuracy	99.9%	(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
✓	accuracy	62.6%	(/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
✓	accuracy	100.0%	(+.f64 a #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))

Samples

42.0ms

256×

valid

Compiler

Compiled 128 to 29 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 12.0ms (42.1% of total)

ival-add: 11.0ms (38.6% of total)

ival-div: 5.0ms (17.6% of total)

exact: 1.0ms (3.5% of total)

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

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

series5.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (+ (* (+ (* a (+ a 4)) 4) (* a a)) -1)>
#<alt (+ (* a (+ a 4)) 4)>
#<alt (+ a 4)>
#<alt (* a a)>
#<alt (+ (* (* b b) 4) -1)>
#<alt (* b b)>
#<alt (+ (* (* a a) (+ (* 4 a) 4)) -1)>
#<alt (+ (* 4 a) 4)>
#<alt (/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))>
#<alt (+ (* (* b b) (/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))) -1)>
#<alt (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16))>
#<alt (+ (* (* b b) (* b b)) -16)>

Outputs
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* 4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt 4>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* 4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* 4 a))) 1)>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))>
#<alt (* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* 4 a))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt 4>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (pow b 2)))>
#<alt (+ 1/4 (* (pow b 2) (- (* 1/64 (pow b 2)) 1/16)))>
#<alt (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/64 (* -1/256 (pow b 2)))) 1/16)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))>
#<alt -16>
#<alt (- (pow b 4) 16)>
#<alt (- (pow b 4) 16)>
#<alt (- (pow b 4) 16)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(+ (* (* b b) (/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))) -1)
0.0ms	b	@	0	(/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))
0.0ms	b	@	inf	(/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))
0.0ms	b	@	0	(/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16))
0.0ms	b	@	inf	(/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16))

rewrite325.0ms (2.9%)

Memory

12.1MiB live, 478.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 864×	`accelerator-lowering-fma.f32`
4 864×	`accelerator-lowering-fma.f64`
4 386×	`/-lowering-/.f32`
4 386×	`/-lowering-/.f64`
3 654×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	106
1	189	80
2	1551	80
0	8429	69

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 538

Calls

Call 1

Inputs
(+ (* (+ (* a (+ a 4)) 4) (* a a)) -1)
(+ (* a (+ a 4)) 4)
(+ a 4)
(* a a)
(+ (* (* b b) 4) -1)
(* b b)
(+ (* (* a a) (+ (* 4 a) 4)) -1)
(+ (* 4 a) 4)
(/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))
(+ (* (* b b) (/ 1 (/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16)))) -1)
(/ (+ (* b b) -4) (+ (* (* b b) (* b b)) -16))
(+ (* (* b b) (* b b)) -16)

Outputs
(+.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))) (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal -1 binary64) (.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 a a) (fma.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (.f64 a (+.f64 a #s(literal 4 binary64)))))) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 a a) (fma.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (.f64 a (+.f64 a #s(literal 4 binary64)))))) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal -16 binary64)) (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 (.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))))
(/.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 (.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal -1 binary64) (.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 (.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 a a) (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))))))
(.f64 (fma.f64 (.f64 a a) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) #s(literal -256 binary64))) (neg.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))) (fma.f64 (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal 16 binary64)))))))
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(.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 (.f64 b b) (*.f64 b b)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 b b) (.f64 b b))) #s(literal -4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) #s(literal 256 binary64)) (.f64 (.f64 b b) (.f64 (*.f64 b b) #s(literal -16 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) #s(literal -256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal 16 binary64))))

simplify288.0ms (2.6%)

Memory

-2.7MiB live, 483.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 552×	`accelerator-lowering-fma.f32`
11 552×	`accelerator-lowering-fma.f64`
3 358×	`-lowering-.f32`
3 358×	`-lowering-.f64`
2 256×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	872
1	313	872
2	874	860
3	2821	848
4	7274	848
0	8232	767

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
4
(+ 4 a)
(+ 4 a)
(+ 4 a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-1
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
4
(+ 4 (* 4 a))
(+ 4 (* 4 a))
(+ 4 (* 4 a))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
1/4
(+ 1/4 (* -1/16 (pow b 2)))
(+ 1/4 (* (pow b 2) (- (* 1/64 (pow b 2)) 1/16)))
(+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/64 (* -1/256 (pow b 2)))) 1/16)))
(/ 1 (pow b 2))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))
(/ 1 (pow b 2))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))
-16
(- (pow b 4) 16)
(- (pow b 4) 16)
(- (pow b 4) 16)
(pow b 4)
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(pow b 4)
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))

Outputs
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64))
(* 4 (pow a 3))
(.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 #s(literal 4 binary64) (.f64 a (fma.f64 a a a)))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64))
(* 4 (pow a 3))
(.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 #s(literal 4 binary64) (.f64 a (fma.f64 a a a)))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* a (+ 4 (* 4 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(pow b 4)
(.f64 (.f64 b b) (*.f64 b b))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(pow b 4)
(.f64 (.f64 b b) (*.f64 b b))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow b 2) (- (* 1/64 (pow b 2)) 1/16)))
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/64 (* -1/256 (pow b 2)))) 1/16)))
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/256 binary64)) #s(literal 1/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b b))
(/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) (/.f64 #s(literal -4 binary64) (.f64 b b)))) (*.f64 b b))
(/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) (/.f64 #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b b))
(/ (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) (/.f64 #s(literal -4 binary64) (.f64 b b)))) (*.f64 b b))
(/ (- (+ 1 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (pow b 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) (/.f64 #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64))))) (*.f64 b b))
-16
#s(literal -16 binary64)
(- (pow b 4) 16)
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(- (pow b 4) 16)
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(- (pow b 4) 16)
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(pow b 4)
(.f64 (.f64 b b) (*.f64 b b))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(pow b 4)
(.f64 (.f64 b b) (*.f64 b b))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))

eval103.0ms (0.9%)

Memory: 6.1MiB live, 241.9MiB allocated
Compiler: Compiled 20 952 to 1 983 computations (90.5% saved)

prune83.0ms (0.7%)

Memory

-7.7MiB live, 234.9MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	766	6	772
Fresh	2	4	6
Picked	2	3	5
Done	0	3	3
Total	770	16	786

Accuracy

100.0%

Counts

786 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)) (.f64 b b)) #s(literal -1 binary64))
✓	72.5%	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
▶	71.8%	(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))) #s(literal -1 binary64))
✓	53.7%	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
✓	47.0%	(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
	55.9%	(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
	46.5%	(pow.f64 b #s(literal 4 binary64))
	44.2%	(pow.f64 a #s(literal 4 binary64))
	44.4%	(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
▶	44.2%	(.f64 (.f64 a a) (*.f64 a a))
	46.5%	(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
✓	46.4%	(.f64 b (.f64 b (*.f64 b b)))
▶	44.5%	(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
✓	44.2%	(.f64 a (.f64 a (*.f64 a a)))
▶	28.2%	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	27.0%	#s(literal -1 binary64)

Compiler

Compiled 257 to 159 computations (38.1% saved)

simplify321.0ms (2.9%)

Memory

13.2MiB live, 493.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)) (.f64 b b))
✓	cost-diff	0	(fma.f64 b b #s(literal -4 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))
✓	cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)) (.f64 b b)) #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) a)
✓	cost-diff	0	(*.f64 a (+.f64 #s(literal 4 binary64) a))
✓	cost-diff	0	(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) (*.f64 a a))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 b b))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))) #s(literal -1 binary64))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))

Rules

12 260×	`accelerator-lowering-fma.f32`
12 260×	`accelerator-lowering-fma.f64`
2 608×	`--lowering--.f32`
2 608×	`--lowering--.f64`
2 376×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	135
1	69	121
2	180	111
3	433	111
4	912	111
5	1437	109
6	2202	109
7	4179	109
8	6887	109
0	8117	105

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* b b) (/ 1 (/ 1 (* b b)))) -1)
(* b b)
b
(/ 1 (/ 1 (* b b)))
1
(/ 1 (* b b))
-1
(* 4 (* b b))
4
(* b b)
b
(* (* a a) (* a a))
(* a a)
a
(* a (* a (* a (+ 4 a))))
a
(* a (* a (+ 4 a)))
(* a (+ 4 a))
(+ 4 a)
4
(+ (* (/ 1 (+ (* b b) -4)) (* (+ (* (* b b) (* b b)) -16) (* b b))) -1)
(/ 1 (+ (* b b) -4))
1
(+ (* b b) -4)
b
-4
(* (+ (* (* b b) (* b b)) -16) (* b b))
(+ (* (* b b) (* b b)) -16)
(* b b)
-16
-1

Outputs
(+ (* (* b b) (/ 1 (/ 1 (* b b)))) -1)
(fma.f64 b (.f64 b (.f64 b b)) #s(literal -1 binary64))
(* b b)
(*.f64 b b)
b
(/ 1 (/ 1 (* b b)))
(*.f64 b b)
1
#s(literal 1 binary64)
(/ 1 (* b b))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
-1
#s(literal -1 binary64)
(* 4 (* b b))
(.f64 b (.f64 b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(* b b)
(*.f64 b b)
b
(* (* a a) (* a a))
(.f64 a (.f64 a (*.f64 a a)))
(* a a)
(*.f64 a a)
a
(* a (* a (* a (+ 4 a))))
(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
a
(* a (* a (+ 4 a)))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) a))
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
4
#s(literal 4 binary64)
(+ (* (/ 1 (+ (* b b) -4)) (* (+ (* (* b b) (* b b)) -16) (* b b))) -1)
(fma.f64 (.f64 b b) (/.f64 (fma.f64 b (.f64 b (*.f64 b b)) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64))
(/ 1 (+ (* b b) -4))
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))
1
#s(literal 1 binary64)
(+ (* b b) -4)
(fma.f64 b b #s(literal -4 binary64))
b
-4
#s(literal -4 binary64)
(* (+ (* (* b b) (* b b)) -16) (* b b))
(.f64 b (.f64 b (fma.f64 b (.f64 b (.f64 b b)) #s(literal -16 binary64))))
(+ (* (* b b) (* b b)) -16)
(fma.f64 b (.f64 b (.f64 b b)) #s(literal -16 binary64))
(* b b)
(*.f64 b b)
-16
#s(literal -16 binary64)
-1
#s(literal -1 binary64)

localize71.0ms (0.6%)

Memory

3.8MiB live, 165.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
✓	accuracy	99.9%	(.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)) (.f64 b b))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))
✓	accuracy	78.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)) (.f64 b b)) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) a)
✓	accuracy	100.0%	(*.f64 a (+.f64 #s(literal 4 binary64) a))
✓	accuracy	99.9%	(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
✓	accuracy	99.8%	(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.7%	(.f64 (.f64 a a) (*.f64 a a))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))) #s(literal -1 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 b b))

Samples

44.0ms

256×

valid

Compiler

Compiled 137 to 28 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 18.0ms (61.7% of total)

ival-div: 5.0ms (17.1% of total)

ival-add: 5.0ms (17.1% of total)

exact: 1.0ms (3.4% of total)

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

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

series9.0ms (0.1%)

Memory

-24.1MiB live, 15.7MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (* b b)))>
#<alt (+ (* (* b b) (/ 1 (/ 1 (* b b)))) -1)>
#<alt (* b b)>
#<alt (/ 1 (* b b))>
#<alt (* 4 (* b b))>
#<alt (* (* a a) (* a a))>
#<alt (* a a)>
#<alt (* a (* a (* a (+ 4 a))))>
#<alt (* a (* a (+ 4 a)))>
#<alt (* a (+ 4 a))>
#<alt (+ 4 a)>
#<alt (+ (* (/ 1 (+ (* b b) -4)) (* (+ (* (* b b) (* b b)) -16) (* b b))) -1)>
#<alt (/ 1 (+ (* b b) -4))>
#<alt (+ (* b b) -4)>
#<alt (* (+ (* (* b b) (* b b)) -16) (* b b))>
#<alt (+ (* (* b b) (* b b)) -16)>

Outputs
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -1>
#<alt (- (pow b 4) 1)>
#<alt (- (pow b 4) 1)>
#<alt (- (pow b 4) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 a))>
#<alt (* (pow a 3) (+ 4 a))>
#<alt (* (pow a 3) (+ 4 a))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (+ 4 a))>
#<alt (* (pow a 2) (+ 4 a))>
#<alt (* (pow a 2) (+ 4 a))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* 4 a)>
#<alt (* a (+ 4 a))>
#<alt (* a (+ 4 a))>
#<alt (* a (+ 4 a))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt 4>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt -1/4>
#<alt (- (* -1/16 (pow b 2)) 1/4)>
#<alt (- (* (pow b 2) (- (* -1/64 (pow b 2)) 1/16)) 1/4)>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (pow b 2)) 1/64)) 1/16)) 1/4)>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))>
#<alt (/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))>
#<alt (/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))>
#<alt -4>
#<alt (- (pow b 2) 4)>
#<alt (- (pow b 2) 4)>
#<alt (- (pow b 2) 4)>
#<alt (pow b 2)>
#<alt (* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* -16 (pow b 2))>
#<alt (* (pow b 2) (- (pow b 4) 16))>
#<alt (* (pow b 2) (- (pow b 4) 16))>
#<alt (* (pow b 2) (- (pow b 4) 16))>
#<alt (pow b 6)>
#<alt (* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (pow b 6)>
#<alt (* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt -16>
#<alt (- (pow b 4) 16)>
#<alt (- (pow b 4) 16)>
#<alt (- (pow b 4) 16)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(* (+ (* (* b b) (* b b)) -16) (* b b))
0.0ms	b	@	inf	(* 4 (* b b))
0.0ms	a	@	-inf	(* a (* a (* a (+ 4 a))))
0.0ms	a	@	inf	(* a (* a (* a (+ 4 a))))
0.0ms	b	@	0	(/ 1 (+ (* b b) -4))

rewrite391.0ms (3.5%)

Memory

22.1MiB live, 704.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 760×	`accelerator-lowering-fma.f32`
11 760×	`accelerator-lowering-fma.f64`
5 458×	`-lowering-.f32`
5 458×	`-lowering-.f64`
3 336×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	106
1	160	90
2	1117	84
0	9029	79

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 760

Calls

Call 1

Inputs
(/ 1 (/ 1 (* b b)))
(+ (* (* b b) (/ 1 (/ 1 (* b b)))) -1)
(* b b)
(/ 1 (* b b))
(* 4 (* b b))
(* (* a a) (* a a))
(* a a)
(* a (* a (* a (+ 4 a))))
(* a (* a (+ 4 a)))
(* a (+ 4 a))
(+ 4 a)
(+ (* (/ 1 (+ (* b b) -4)) (* (+ (* (* b b) (* b b)) -16) (* b b))) -1)
(/ 1 (+ (* b b) -4))
(+ (* b b) -4)
(* (+ (* (* b b) (* b b)) -16) (* b b))
(+ (* (* b b) (* b b)) -16)

Outputs
(exp.f64 (log.f64 (*.f64 b b)))
(exp.f64 (.f64 (log.f64 (.f64 b b)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b b)))
(neg.f64 (neg.f64 (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 b (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 b b)) #s(literal -1 binary64))
(/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) b))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 b b))
(*.f64 b b)
(*.f64 b (neg.f64 (neg.f64 b)))
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 b b)))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (.f64 b b)) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 b b)) #s(literal -1 binary64))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) b)
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 b)) b)
(+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (*.f64 b b))))
(+.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal 1 binary64)))))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 #s(literal -1 binary64) (.f64 b (.f64 b (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) (.f64 b (.f64 b (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 b b)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 b (.f64 b (.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 b (.f64 b (neg.f64 (*.f64 b b)))) #s(literal -1 binary64))
(fma.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 b b)) (neg.f64 (.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b (.f64 b (neg.f64 (*.f64 b b)))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal 1 binary64)))))
(fma.f64 (.f64 b (.f64 b b)) b #s(literal -1 binary64))
(fma.f64 (.f64 b (.f64 b b)) (neg.f64 (*.f64 b #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (.f64 b (neg.f64 (.f64 b b))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 b (/.f64 #s(literal -1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) #s(literal 1 binary64)) (/.f64 b (/.f64 #s(literal -1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 b (.f64 b b))) (*.f64 b #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 (.f64 b b)) b) (neg.f64 b) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 (.f64 b b)) (neg.f64 b)) b #s(literal -1 binary64))
(expm1.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)))
(expm1.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
(expm1.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 b)) #s(literal -2 binary64)))
(expm1.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 b (.f64 b (*.f64 b b)))))))
(neg.f64 (/.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64)) (fma.f64 b (.f64 b (neg.f64 (.f64 b b))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 b (.f64 b (*.f64 b b))))))
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(.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal 16 binary64))))))
(.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -4096 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))) #s(literal 256 binary64)) (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 16 binary64))))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal 16 binary64))))
(.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))) #s(literal -256 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))) #s(literal 256 binary64)) (.f64 (.f64 b b) (.f64 (*.f64 b b) #s(literal 16 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))) #s(literal -256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (neg.f64 (*.f64 b b))) #s(literal -16 binary64))))
(.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (.f64 b (.f64 b (*.f64 b b))))))

simplify193.0ms (1.7%)

Memory

10.2MiB live, 368.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 354×	`accelerator-lowering-fma.f32`
4 354×	`accelerator-lowering-fma.f64`
3 852×	`-lowering-.f32`
3 852×	`-lowering-.f64`
1 408×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1010
1	216	1010
2	485	1010
3	1251	1006
4	3809	1006
5	6071	1000
0	8077	961

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-1
(- (pow b 4) 1)
(- (pow b 4) 1)
(- (pow b 4) 1)
(pow b 4)
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 4 (pow a 3))
(* (pow a 3) (+ 4 a))
(* (pow a 3) (+ 4 a))
(* (pow a 3) (+ 4 a))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 a))
(* (pow a 2) (+ 4 a))
(* (pow a 2) (+ 4 a))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* 4 a)
(* a (+ 4 a))
(* a (+ 4 a))
(* a (+ 4 a))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
4
(+ 4 a)
(+ 4 a)
(+ 4 a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
-1/4
(- (* -1/16 (pow b 2)) 1/4)
(- (* (pow b 2) (- (* -1/64 (pow b 2)) 1/16)) 1/4)
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (pow b 2)) 1/64)) 1/16)) 1/4)
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))
-4
(- (pow b 2) 4)
(- (pow b 2) 4)
(- (pow b 2) 4)
(pow b 2)
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(* -16 (pow b 2))
(* (pow b 2) (- (pow b 4) 16))
(* (pow b 2) (- (pow b 4) 16))
(* (pow b 2) (- (pow b 4) 16))
(pow b 6)
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(pow b 6)
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
-16
(- (pow b 4) 16)
(- (pow b 4) 16)
(- (pow b 4) 16)
(pow b 4)
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(pow b 4)
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))

Outputs
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
-1
#s(literal -1 binary64)
(- (pow b 4) 1)
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(- (pow b 4) 1)
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(- (pow b 4) 1)
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 4 (pow a 3))
(.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (+ 4 a))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 3) (+ 4 a))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 3) (+ 4 a))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* 4 (pow a 2))
(.f64 #s(literal 4 binary64) (.f64 a a))
(* (pow a 2) (+ 4 a))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 2) (+ 4 a))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 2) (+ 4 a))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
4
#s(literal 4 binary64)
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* -1/16 (pow b 2)) 1/4)
(fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal -1/4 binary64))
(- (* (pow b 2) (- (* -1/64 (pow b 2)) 1/16)) 1/4)
(fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/64 binary64)) #s(literal -1/16 binary64)) #s(literal -1/4 binary64))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (pow b 2)) 1/64)) 1/16)) 1/4)
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/256 binary64) #s(literal -1/64 binary64)) #s(literal -1/16 binary64)) #s(literal -1/4 binary64))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b b))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (*.f64 b b))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 b b))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (*.f64 b b))
(/ (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (* 64 (/ 1 (pow b 6))) (/ 16 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 b b))
-4
#s(literal -4 binary64)
(- (pow b 2) 4)
(fma.f64 b b #s(literal -4 binary64))
(- (pow b 2) 4)
(fma.f64 b b #s(literal -4 binary64))
(- (pow b 2) 4)
(fma.f64 b b #s(literal -4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal -4 binary64))
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal -4 binary64))
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal -4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal -4 binary64))
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal -4 binary64))
(* (pow b 2) (- 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal -4 binary64))
(* -16 (pow b 2))
(.f64 (.f64 b b) #s(literal -16 binary64))
(* (pow b 2) (- (pow b 4) 16))
(.f64 b (.f64 b (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))))
(* (pow b 2) (- (pow b 4) 16))
(.f64 b (.f64 b (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))))
(* (pow b 2) (- (pow b 4) 16))
(.f64 b (.f64 b (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))))
(pow b 6)
(.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 16 binary64) (neg.f64 (.f64 b b))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 16 binary64) (neg.f64 (.f64 b b))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 16 binary64) (neg.f64 (.f64 b b))))
(pow b 6)
(.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 16 binary64) (neg.f64 (.f64 b b))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 16 binary64) (neg.f64 (.f64 b b))))
(* (pow b 6) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 16 binary64) (neg.f64 (.f64 b b))))
-16
#s(literal -16 binary64)
(- (pow b 4) 16)
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(- (pow b 4) 16)
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(- (pow b 4) 16)
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))
(* (pow b 4) (- 1 (* 16 (/ 1 (pow b 4)))))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))

eval186.0ms (1.7%)

Memory: 9.9MiB live, 317.7MiB allocated
Compiler: Compiled 27 096 to 2 499 computations (90.8% saved)

prune137.0ms (1.2%)

Memory

-3.0MiB live, 320.9MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 157	5	1 162
Fresh	1	4	5
Picked	3	2	5
Done	0	6	6
Total	1 161	17	1 178

Accuracy

100.0%

Counts

1 178 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (.f64 b (.f64 b (.f64 b b))) (*.f64 b b)) #s(literal -1 binary64))
✓	72.5%	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
	71.8%	(fma.f64 (*.f64 b b) (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
✓	53.7%	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
✓	47.0%	(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
	55.9%	(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
	44.2%	(pow.f64 a #s(literal 4 binary64))
	71.8%	(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
	28.2%	(.f64 (.f64 b #s(literal 4 binary64)) b)
	44.5%	(.f64 (.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))
	44.4%	(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
✓	44.2%	(.f64 (.f64 a a) (*.f64 a a))
	46.5%	(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
✓	46.4%	(.f64 b (.f64 b (*.f64 b b)))
✓	44.2%	(.f64 a (.f64 a (*.f64 a a)))
✓	28.2%	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	27.0%	#s(literal -1 binary64)

Compiler

Compiled 601 to 208 computations (65.4% saved)

regimes47.0ms (0.4%)

Memory

-3.5MiB live, 117.5MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(.f64 (.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (.f64 b (.f64 b (.f64 b b))) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)) (.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))))) #s(literal -1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 b #s(literal 4 binary64))
(fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))

Outputs

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))

Calls

5 calls:

10.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
10.0ms	b
9.0ms	(*.f64 b b)
9.0ms	a
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Results

Accuracy	Segments	Branch
98.8%	3	`a`
96.9%	2	`b`
98.8%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
98.8%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
96.9%	2	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes17.0ms (0.2%)

Memory

-6.0MiB live, 33.5MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(.f64 (.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (.f64 b (.f64 b (.f64 b b))) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)) (.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))))) #s(literal -1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 b #s(literal 4 binary64))
(fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))

Outputs

(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))

Calls

2 calls:

8.0ms

(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))

7.0ms

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
98.8%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`

Compiler

Compiled 64 to 37 computations (42.2% saved)

regimes40.0ms (0.4%)

Memory

-11.5MiB live, 65.5MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(.f64 (.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (.f64 b (.f64 b (.f64 b b))) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64))) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64)) (.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64)))) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))))) #s(literal -1 binary64))

Outputs
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))

Calls

5 calls:

9.0ms	(*.f64 b b)
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
7.0ms	b
7.0ms	a
6.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
96.9%	2	`b`
96.9%	2	`(*.f64 b b)`
97.7%	3	`a`
81.4%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
81.4%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes11.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(.f64 (.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))

Outputs
(fma.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))

Calls

2 calls:

5.0ms	b
5.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
96.4%	2	`b`
96.4%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes16.0ms (0.1%)

Memory

-9.1MiB live, 30.6MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(.f64 (.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))

Outputs

(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))

(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))

(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))

Calls

3 calls:

5.0ms	a
5.0ms	b
5.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
97.7%	3	`a`
87.3%	2	`b`
87.3%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(.f64 (.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))

Outputs

(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))

(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))

(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-30.1MiB live, 9.6MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))

Outputs
(.f64 a (.f64 a (*.f64 a a)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))

Outputs
(.f64 a (.f64 a (*.f64 a a)))
(*.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64)))
(.f64 a (.f64 a (*.f64 a a)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.7%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))

Outputs
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))

Calls

3 calls:

3.0ms	a
3.0ms	b
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
86.9%	2	`b`
86.9%	2	`(*.f64 b b)`
85.2%	3	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

-26.9MiB live, 12.8MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))

Outputs
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 b (.f64 b (*.f64 b b)))

Calls

2 calls:

4.0ms	b
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
86.9%	2	`b`
86.9%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))

Outputs
(.f64 a (.f64 a (*.f64 a a)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))

Calls

3 calls:

3.0ms	a
3.0ms	b
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
85.2%	3	`a`
77.8%	3	`b`
77.8%	3	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes14.0ms (0.1%)

Memory

-5.5MiB live, 34.7MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))

Outputs
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))

Calls

5 calls:

4.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
2.0ms	a
2.0ms	b
2.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
74.3%	2	`b`
74.3%	2	`(*.f64 b b)`
63.7%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
63.7%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
74.3%	3	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes10.0ms (0.1%)

Memory

-19.5MiB live, 19.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)

Outputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))

Calls

5 calls:

2.0ms	b
2.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
2.0ms	a
2.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
54.0%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
54.0%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
39.9%	3	`a`
53.6%	2	`b`
53.6%	2	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

5 calls:

1.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
1.0ms	(*.f64 b b)
1.0ms	b
1.0ms	a
1.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
27.0%	1	`a`
27.0%	1	`b`
27.0%	1	`(*.f64 b b)`
27.0%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
27.0%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`

Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.082112644175614e-8	4.260844866450168

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.082112644175614e-8	4.260844866450168

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch29.0ms (0.3%)

Memory

12.2MiB live, 50.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4689566022346917.0	34435456269821988.0
14.0ms	-3625667.106243308	-401333.4786540974

Samples

19.0ms

192×

valid

Compiler

Compiled 330 to 215 computations (34.8% saved)

Precisions

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

ival-mult: 8.0ms (54.8% of total)

ival-add: 3.0ms (20.5% of total)

ival-sub: 2.0ms (13.7% of total)

ival-pow2: 2.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

13.1MiB live, 50.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4689566022346917.0	34435456269821988.0
14.0ms	-3625667.106243308	-401333.4786540974

Samples

20.0ms

192×

valid

Compiler

Compiled 324 to 215 computations (33.6% saved)

Precisions

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

ival-mult: 6.0ms (39.6% of total)

ival-add: 5.0ms (33% of total)

ival-sub: 2.0ms (13.2% of total)

ival-pow2: 2.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch36.0ms (0.3%)

Memory

-35.5MiB live, 50.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4689566022346917.0	34435456269821988.0
12.0ms	-3625667.106243308	-401333.4786540974

Samples

20.0ms

192×

valid

Compiler

Compiled 300 to 191 computations (36.3% saved)

Precisions

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

ival-mult: 6.0ms (46.5% of total)

ival-add: 3.0ms (23.2% of total)

ival-sub: 2.0ms (15.5% of total)

ival-pow2: 2.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Memory

18.7MiB live, 51.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4689566022346917.0	34435456269821988.0
12.0ms	-3625667.106243308	-401333.4786540974

Samples

18.0ms

192×

valid

Compiler

Compiled 300 to 191 computations (36.3% saved)

Precisions

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

ival-mult: 6.0ms (46% of total)

ival-add: 3.0ms (23% of total)

ival-sub: 2.0ms (15.3% of total)

ival-pow2: 2.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	222637577178.82095	374022599823965.25

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9809662702045418.0	89395752799360600.0

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch30.0ms (0.3%)

Memory

7.9MiB live, 45.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4689566022346917.0	34435456269821988.0
15.0ms	-3625667.106243308	-401333.4786540974

Samples

21.0ms

192×

valid

Compiler

Compiled 264 to 179 computations (32.2% saved)

Precisions

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

ival-mult: 6.0ms (46.3% of total)

ival-add: 3.0ms (23.1% of total)

ival-sub: 2.0ms (15.4% of total)

ival-pow2: 2.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8525523384134705e+300	+inf

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4643520078737999e-8	35.198178441755424

Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify20.0ms (0.2%)

Memory

-20.3MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
28×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	433
1	144	433
2	158	433
3	171	433
4	175	433
5	176	433

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (fma.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -620000 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) (if (<=.f64 a #s(literal 4800000000000000 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a))))))
(if (<=.f64 a #s(literal -1350000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))) (if (<=.f64 a #s(literal 6000000000000000 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))))
(if (<=.f64 a #s(literal -1150000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 13500000000000000 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -3400000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 20000000000000000 binary64)) (.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64))) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 400000000000 binary64)) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000 binary64)) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -700000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 8000000000000000 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
#s(literal -1 binary64)

Outputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))) #s(literal +inf.0 binary64)) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))) #s(literal -1 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))) #s(literal +inf.0 binary64)) (+.f64 (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64)))))) (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))) #s(literal -1 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (fma.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (fma.f64 (.f64 a a) (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -620000 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) (if (<=.f64 a #s(literal 4800000000000000 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a))))))
(if (<=.f64 a #s(literal -620000 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (if (<=.f64 a #s(literal 4800000000000000 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -1350000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))) (if (<=.f64 a #s(literal 6000000000000000 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))))
(if (<=.f64 a #s(literal -1350000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 6000000000000000 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -1150000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 13500000000000000 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -3400000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 20000000000000000 binary64)) (.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64))) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 400000000000 binary64)) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000 binary64)) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -700000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 8000000000000000 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
(if (<=.f64 (.f64 b b) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))
#s(literal -1 binary64)

soundness1.5s (13.1%)

Memory

18.4MiB live, 901.7MiB allocated

Rules

22 048×	`accelerator-lowering-fma.f32`
22 048×	`accelerator-lowering-fma.f64`
18 750×	`accelerator-lowering-fma.f32`
18 750×	`accelerator-lowering-fma.f64`
11 760×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	872
1	313	872
2	874	860
3	2821	848
4	7274	848
0	8232	767
0	32	195
1	229	181
2	2174	163
0	8703	140
0	26	106
1	160	90
2	1117	84
0	9029	79
0	282	3272
1	886	3169
2	2617	3072
3	7759	3072
0	8451	2841
0	19	102
1	132	102
2	1240	102
0	8235	82
0	185	2332
1	600	2246
2	1837	2184
3	5819	2098
0	8170	1858

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
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 1 045 to 453 computations (56.7% saved)

preprocess73.0ms (0.7%)

Memory: -3.8MiB live, 114.6MiB allocated
Remove: (abs b)
Compiler: Compiled 1 138 to 284 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.5s (13.3%)

preprocess768.0ms (6.9%)

explain352.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify980.0ms (8.8%)

localize58.0ms (0.5%)

series10.0ms (0.1%)

rewrite408.0ms (3.7%)

simplify440.0ms (4%)

eval109.0ms (1%)

prune87.0ms (0.8%)

simplify452.0ms (4.1%)

localize114.0ms (1%)

series11.0ms (0.1%)

rewrite446.0ms (4%)

simplify616.0ms (5.5%)

eval190.0ms (1.7%)

prune142.0ms (1.3%)

simplify381.0ms (3.4%)

localize70.0ms (0.6%)

series5.0ms (0%)

rewrite325.0ms (2.9%)

simplify288.0ms (2.6%)

eval103.0ms (0.9%)

prune83.0ms (0.7%)

simplify321.0ms (2.9%)

localize71.0ms (0.6%)

series9.0ms (0.1%)

rewrite391.0ms (3.5%)

simplify193.0ms (1.7%)

eval186.0ms (1.7%)

prune137.0ms (1.2%)

regimes47.0ms (0.4%)

regimes17.0ms (0.2%)

regimes40.0ms (0.4%)

regimes11.0ms (0.1%)

regimes16.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.3%)

bsearch29.0ms (0.3%)

bsearch36.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch30.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify20.0ms (0.2%)

soundness1.5s (13.1%)

preprocess73.0ms (0.7%)

end0.0ms (0%)

Profiling