Metrics for Bouland and Aaronson, Equation (25)

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample1.2s (10%)

Memory

12.2MiB live, 2 156.3MiB allocated

Samples

912.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 663.0ms

ival-mult: 349.0ms (52.6% of total)

ival-add: 143.0ms (21.6% of total)

ival-pow2: 80.0ms (12.1% of total)

ival-sub: 73.0ms (11% of total)

exact: 9.0ms (1.4% of total)

ival-true: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess509.0ms (4.1%)

Memory

-35.4MiB live, 931.8MiB 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)

explain498.0ms (4%)

Memory

8.0MiB live, 482.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
43	-	-	`(+.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))))))`
38	-	-	`(+.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))))`
11	-	-	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	-	-	`(*.f64 a a)`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	-	-	`a`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 b b)`
0	-	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) a)`
0	-	-	`#s(literal 2 binary64)`
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	-	-	`b`
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	-	-	`(*.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	43	0
↳	`(*.f64 b b)`	overflow	78
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	152
↳	`(*.f64 a a)`	overflow	56
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	112
↳	`(*.f64 b b)`	overflow	78
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	77
↳	`(*.f64 a a)`	overflow	56
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	88
↳	`(+.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	127
↳	`(.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	127
`+.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	38	0
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	77
↳	`(*.f64 a a)`	overflow	56
↳	`(*.f64 b b)`	overflow	78
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	88

Confusion

	Predicted +	Predicted -
+	61	0
-	0	195

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	0
-	0	0	195

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	195
1	41
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms	480×	0	valid
6.0ms	18×	2	valid
3.0ms	14×	1	valid

Compiler

Compiled 372 to 80 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 33.0ms (59.3% of total)

ival-add: 9.0ms (16.2% of total)

ival-sub: 5.0ms (9% of total)

ival-pow2: 5.0ms (9% of total)

adjust: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(-.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))

Status

Accuracy

Program

▶

76.0%

(-.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))

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify1.1s (8.9%)

Memory

31.1MiB live, 395.8MiB 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)

localize57.0ms (0.5%)

Memory

-33.6MiB live, 122.8MiB 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	96.3%	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	accuracy	86.6%	(+.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))))))
✓	accuracy	86.6%	(+.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

29.0ms	240×	0	valid
3.0ms	9×	2	valid
2.0ms	7×	1	valid

Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 8.0ms (37.1% of total)

ival-add: 5.0ms (23.2% of total)

ival-pow2: 4.0ms (18.6% of total)

ival-sub: 2.0ms (9.3% of total)

adjust: 1.0ms (4.6% 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

28.9MiB live, 29.0MiB 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))))))
1.0ms	a	@	inf	(pow (+ (* a a) (* b b)) 2)
0.0ms	b	@	0	(pow (+ (* a a) (* b b)) 2)
0.0ms	a	@	0	(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))))))

rewrite392.0ms (3.1%)

Memory

-21.5MiB live, 712.2MiB 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))))

simplify436.0ms (3.5%)

Memory

-3.3MiB live, 878.5MiB 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))

eval100.0ms (0.8%)

Memory: 27.5MiB live, 257.4MiB allocated
Compiler: Compiled 59 944 to 2 576 computations (95.7% saved)

prune91.0ms (0.7%)

Memory

-33.7MiB live, 208.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	672	12	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	673	12	685

Accuracy

100.0%

Counts

685 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.9%	(fma.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 #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 (+.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)))
	42.4%	(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)))
▶	74.4%	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
	65.9%	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
▶	80.0%	(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)))
	32.4%	(/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.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 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.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))))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.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))))) (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))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))))
	15.2%	(-.f64 (/.f64 (fma.f64 (.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)))))) #s(literal 4 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))) (.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 (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 (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 1 binary64))
▶	76.0%	(-.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))
	61.2%	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.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))
▶	42.4%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
	50.4%	(.f64 b (.f64 b (*.f64 b b)))
▶	42.0%	(.f64 a (.f64 a (*.f64 a a)))

Compiler

Compiled 1 082 to 372 computations (65.6% saved)

simplify614.0ms (4.9%)

Memory

-2.2MiB live, 999.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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 (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	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	1088	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.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	1024	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
✓	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 a a)
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 a a)))
✓	cost-diff	0	(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))
✓	cost-diff	0	(fma.f64 b b #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
✓	cost-diff	320	(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)))

Rules

36 940×	`accelerator-lowering-fma.f32`
36 940×	`accelerator-lowering-fma.f64`
4 424×	`+-lowering-+.f64`
4 424×	`+-lowering-+.f32`
3 528×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	336
1	132	324
2	406	322
3	1110	322
4	3074	320
5	5266	320
0	8039	278

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize121.0ms (1%)

Memory

12.2MiB live, 248.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
✓	accuracy	96.3%	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	accuracy	86.6%	(+.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))))))
✓	accuracy	86.6%	(+.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	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	96.7%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
✓	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 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.9%	(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
✓	accuracy	99.9%	(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a))
✓	accuracy	98.1%	(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)))
✓	accuracy	90.4%	(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)) #s(literal -1 binary64))

Samples

59.0ms	240×	0	valid
6.0ms	9×	2	valid
3.0ms	7×	1	valid

Compiler

Compiled 324 to 42 computations (87% saved)

Precisions

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

ival-mult: 23.0ms (48.8% of total)

ival-add: 13.0ms (27.6% of total)

ival-div: 6.0ms (12.7% of total)

adjust: 2.0ms (4.2% of total)

ival-sub: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series16.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

17 → 312

Calls

Call 1

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

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

78 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
1.0ms	a	@	-inf	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
1.0ms	b	@	inf	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
1.0ms	a	@	inf	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
0.0ms	a	@	0	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))

rewrite689.0ms (5.5%)

Memory

-8.1MiB live, 816.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 610×	`-lowering-.f32`
6 610×	`-lowering-.f64`
5 070×	`accelerator-lowering-fma.f32`
5 070×	`accelerator-lowering-fma.f64`
3 260×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	233
1	305	223
2	2846	205
0	9024	174

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 911

Calls

Call 1

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

Outputs
(+.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(+.f64 (.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a))) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))))
(+.f64 (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(+.f64 (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64))
(+.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a))))
(+.f64 (+.f64 (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))) (-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))))
(fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 b (.f64 b (.f64 b b)) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(fma.f64 (.f64 b b) (.f64 b b) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
(fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b b) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a))) (.f64 (.f64 a a) (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64)) (.f64 a (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(fma.f64 (fma.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) (.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)))) (.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))))
(fma.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(fma.f64 (fma.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a))))
(fma.f64 (.f64 b (.f64 b b)) b (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
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(/.f64 (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (fma.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (.f64 #s(literal -4 binary64) a))) (fma.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 #s(literal -4 binary64) a)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 b (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (.f64 (.f64 #s(literal 4 binary64) a) (-.f64 (.f64 #s(literal 4 binary64) a) (.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (fma.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (.f64 #s(literal -4 binary64) a)))) (neg.f64 (fma.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 #s(literal -4 binary64) a))))
(/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 16 binary64)) (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (-.f64 (.f64 #s(literal 4 binary64) a) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))
(pow.f64 (/.f64 (fma.f64 b (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (.f64 (.f64 #s(literal 4 binary64) a) (-.f64 (.f64 #s(literal 4 binary64) a) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))))) (fma.f64 (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (.f64 (.f64 a (*.f64 a a)) #s(literal 64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (.f64 #s(literal -4 binary64) a)) (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (fma.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (*.f64 #s(literal -4 binary64) a)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 b (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (.f64 (.f64 #s(literal 4 binary64) a) (-.f64 (.f64 #s(literal 4 binary64) a) (.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))))
(.f64 (.f64 (fma.f64 b (.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (.f64 #s(literal 4 binary64) a)) (fma.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (.f64 #s(literal -4 binary64) a))))
(+.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 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 a a (.f64 b b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.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) (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (.f64 b b))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64))
(.f64 (pow.f64 (fma.f64 a a (.f64 b b)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 #s(literal 1 binary64) (.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 -1 binary64)))

simplify572.0ms (4.6%)

Memory

5.4MiB live, 607.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 744×	`accelerator-lowering-fma.f32`
16 744×	`accelerator-lowering-fma.f64`
5 422×	`+-lowering-+.f64`
5 422×	`+-lowering-+.f32`
4 844×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	4473
1	1073	4357
2	3246	4179
0	8471	3812

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

eval337.0ms (2.7%)

Memory: 27.2MiB live, 410.1MiB allocated
Compiler: Compiled 106 192 to 3 950 computations (96.3% saved)

prune226.0ms (1.8%)

Memory

-46.5MiB live, 307.6MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 403	13	1 416
Fresh	3	4	7
Picked	4	1	5
Done	0	0	0
Total	1 410	18	1 428

Accuracy

100.0%

Counts

1 428 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.4%	(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)))
	74.5%	(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
	31.4%	(fma.f64 (.f64 b b) (/.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) #s(literal 64 binary64)) (-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
▶	31.4%	(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (*.f64 b b)) #s(literal 64 binary64)))) #s(literal -1 binary64))
	73.8%	(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
	56.8%	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
▶	65.9%	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
	79.9%	(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (.f64 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)))
	59.6%	(fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (.f64 b (.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))
	48.1%	(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
	42.0%	(pow.f64 a #s(literal 4 binary64))
▶	99.2%	(-.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 b b))) #s(literal 1 binary64))
	61.2%	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.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))
	42.4%	(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal 4 binary64) a))
▶	42.0%	(.f64 (.f64 a a) (*.f64 a a))
	50.4%	(.f64 b (.f64 b (*.f64 b b)))
✓	42.0%	(.f64 a (.f64 a (*.f64 a a)))
▶	25.0%	#s(literal -1 binary64)

Compiler

Compiled 633 to 331 computations (47.7% saved)

simplify426.0ms (3.4%)

Memory

10.1MiB live, 597.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (*.f64 b b)) #s(literal 64 binary64)))) #s(literal -1 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) #s(literal 64 binary64))))
✓	cost-diff	768	(-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 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 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	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) (*.f64 a a))
✓	cost-diff	0	(fma.f64 a a (*.f64 b b))
✓	cost-diff	128	(+.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 b b)))
✓	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 b b))) #s(literal 1 binary64))
✓	cost-diff	1088	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))

Rules

15 390×	`accelerator-lowering-fma.f32`
15 390×	`accelerator-lowering-fma.f64`
4 162×	`-lowering-.f32`
4 162×	`-lowering-.f64`
2 320×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	265
1	97	225
2	254	221
3	725	221
4	1706	221
5	3149	221
6	5564	221
0	8256	195

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b)))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(+ (* a a) (* b b))
a
(* b b)
b
(/ 1 (+ (* a a) (* b b)))
1
(* 4 (* b b))
4
-1
(* (* a a) (* a a))
(* a a)
a
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)
(* a a)
a
(+ (* a a) (+ (* 4 a) 4))
(+ (* 4 a) 4)
4
-1
(+ (* (* b b) (/ 1 (/ (- (+ (* b (* b (* b b))) 16) (* (* b b) 4)) (+ (* (* b (* b b)) (* b (* b b))) 64)))) -1)
(* b b)
b
(/ 1 (/ (- (+ (* b (* b (* b b))) 16) (* (* b b) 4)) (+ (* (* b (* b b)) (* b (* b b))) 64)))
1
(/ (- (+ (* b (* b (* b b))) 16) (* (* b b) 4)) (+ (* (* b (* b b)) (* b (* b b))) 64))
(- (+ (* b (* b (* b b))) 16) (* (* b b) 4))
(+ (* b (* b (* b b))) 16)
(* b (* b b))
16
(* (* b b) 4)
4
(+ (* (* b (* b b)) (* b (* b b))) 64)
64
-1

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

localize97.0ms (0.8%)

Memory

11.9MiB live, 289.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) #s(literal 64 binary64))))
✓	accuracy	75.7%	(-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)))
✓	accuracy	54.4%	(/.f64 (-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) #s(literal 64 binary64)))
✓	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%	(*.f64 a a)
✓	accuracy	99.8%	(.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	99.9%	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))

Samples

52.0ms

256×

valid

Compiler

Compiled 271 to 34 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 15.0ms (41.5% of total)

ival-add: 13.0ms (36% of total)

ival-div: 6.0ms (16.6% of total)

ival-sub: 2.0ms (5.5% of total)

exact: 1.0ms (2.8% of total)

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

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

series13.0ms (0.1%)

Memory

-2.7MiB live, 36.0MiB allocated

Counts

17 → 264

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

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1)
2.0ms	a	@	-inf	(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)
1.0ms	b	@	inf	(/ 1 (/ (- (+ (* b (* b (* b b))) 16) (* (* b b) 4)) (+ (* (* b (* b b)) (* b (* b b))) 64)))
0.0ms	b	@	inf	(+ (* (* b b) (/ 1 (/ (- (+ (* b (* b (* b b))) 16) (* (* b b) 4)) (+ (* (* b (* b b)) (* b (* b b))) 64)))) -1)
0.0ms	b	@	0	(/ 1 (/ (- (+ (* b (* b (* b b))) 16) (* (* b b) 4)) (+ (* (* b (* b b)) (* b (* b b))) 64)))

rewrite355.0ms (2.9%)

Memory

-12.3MiB live, 621.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 246×	`-lowering-.f32`
4 246×	`-lowering-.f64`
4 056×	`/-lowering-/.f32`
4 056×	`/-lowering-/.f64`
3 100×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	213
1	250	185
2	2177	167
0	8181	151

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 678

Calls

Call 1

Inputs
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b)))
(+ (* a a) (* b b))
(* (* a a) (* a a))
(* a a)
(+ (* a a) (+ (* 4 a) 4))
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1)
(+ (* 4 a) 4)
(- (+ (* b (* b (* b b))) 16) (* (* b b) 4))
(/ 1 (/ (- (+ (* b (* b (* b b))) 16) (* (* b b) 4)) (+ (* (* b (* b b)) (* b (* b b))) 64)))
(+ (* (* b b) (/ 1 (/ (- (+ (* b (* b (* b b))) 16) (* (* b b) 4)) (+ (* (* b (* b b)) (* b (* b b))) 64)))) -1)
(* b b)
(/ 1 (+ (* a a) (* b b)))
(* 4 (* b b))
(/ (- (+ (* b (* b (* b b))) 16) (* (* b b) 4)) (+ (* (* b (* b b)) (* b (* b b))) 64))
(* b (* b b))

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 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (.f64 b b)))) (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b)))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b)))))
(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)))
(neg.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal -1 binary64) (fma.f64 a a (.f64 b b)))))
(/.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 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 a a (.f64 b b))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (.f64 b b))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))))
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(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal -64 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))) #s(literal 64 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))) #s(literal 64 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (/.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))) #s(literal 64 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (/.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)))) (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)))))) (neg.f64 (+.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))))) (neg.f64 (fma.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))))) (neg.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 b (.f64 b (*.f64 b b)) #s(literal 16 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))) #s(literal 64 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (*.f64 b b)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (*.f64 b b)) #s(literal 16 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))))
(.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) #s(literal 1 binary64))
(.f64 (neg.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 (.f64 b (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) #s(literal 262144 binary64))) (-.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 4096 binary64)) (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -4096 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal -64 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))) #s(literal 64 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) (fma.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 b (.f64 b (*.f64 b b)) #s(literal 16 binary64)))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 b)))
(exp.f64 (.f64 (log.f64 (.f64 b b)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 b)) #s(literal 1 binary64)))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (.f64 b (.f64 b b)) #s(literal 1 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64))
(.f64 b (.f64 b b))
(.f64 (.f64 b b) b)
(.f64 (.f64 b (*.f64 b b)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 (.f64 b #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 b (*.f64 b b)))
(*.f64 (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1 binary64)))

simplify480.0ms (3.9%)

Memory

39.9MiB live, 793.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22 216×	`accelerator-lowering-fma.f32`
22 216×	`accelerator-lowering-fma.f64`
4 718×	`-lowering-.f32`
4 718×	`-lowering-.f64`
2 576×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	2720
1	645	2636
2	1779	2542
3	6916	2512
0	8195	2304

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (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 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
(+ 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))))
16
(+ 16 (* -4 (pow b 2)))
(+ 16 (* (pow b 2) (- (pow b 2) 4)))
(+ 16 (* (pow b 2) (- (pow b 2) 4)))
(pow b 4)
(* (pow b 4) (- 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (- 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
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))))
(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 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))
(* 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))
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))
(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)

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 (.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 a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 #s(literal 2 binary64) (.f64 a a))) (.f64 (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 #s(literal 2 binary64) (.f64 a a))) (.f64 (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.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 a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 #s(literal 2 binary64) (.f64 a a))) (.f64 (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 #s(literal 2 binary64) (.f64 a a))) (.f64 (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(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 b) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (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 b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (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 b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (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 b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (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))))
(- (+ (* 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))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (.f64 a (.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 a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(fma.f64 a (.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(fma.f64 a (.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1 binary64)))) #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 a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(fma.f64 a (.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(fma.f64 a (.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(- (pow a 4) 1)
(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (.f64 a (.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 (pow b 2))))))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (.f64 a (.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 (pow b 2))))))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (.f64 a (.f64 a (*.f64 a a))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (.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 a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(.f64 a (.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(.f64 a (.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.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 a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(.f64 a (.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(.f64 a (.f64 (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
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(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
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(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
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(pow b 2)
(*.f64 b b)
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(pow a 4)
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4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
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(pow a 2)
(*.f64 a a)
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
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(- (* (pow a 2) (+ 4 (* 4 a))) 1)
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(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
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(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
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(.f64 a (.f64 a (*.f64 a a)))
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4
#s(literal 4 binary64)
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(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))
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(* 4 a)
(*.f64 #s(literal 4 binary64) a)
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(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(* 4 a)
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(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
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(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
16
#s(literal 16 binary64)
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(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (- 1 (* 4 (/ 1 (pow b 2)))))
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(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
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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))
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(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
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(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
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(* (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)
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(- (* (pow b 2) (+ 4 (pow b 2))) 1)
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(- (* (pow b 2) (+ 4 (pow b 2))) 1)
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(pow b 4)
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(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b 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))))
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(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
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(pow b 2)
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(*.f64 b b)
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(*.f64 b b)
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(*.f64 b b)
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(*.f64 b b)
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(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(/ 1 (pow b 2))
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(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
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(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (.f64 a a) (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b)))
(+ (* (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)))
(fma.f64 (.f64 a (.f64 a (.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 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(/ 1 (pow a 2))
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(/ (+ 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 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (.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 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (/.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))
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(/ (- (+ 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 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (/.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)))
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(+ (* (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 (.f64 b (.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (.f64 b b) (pow.f64 a #s(literal 8 binary64)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a)))
(/ 1 (pow b 2))
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(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b 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 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal -1 binary64))) (.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 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal -1 binary64))) (/.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))
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(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal -1 binary64))) (.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 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 b b))
(* 4 (pow b 2))
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(.f64 b (.f64 b #s(literal 4 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 b (.f64 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 (*.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 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (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 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (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) (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 (-.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 (/ 16 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 64 (/ 1 (pow b 6))))) (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) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))

eval177.0ms (1.4%)

Memory: -34.2MiB live, 371.4MiB allocated
Compiler: Compiled 52 190 to 3 387 computations (93.5% saved)

prune126.0ms (1%)

Memory

9.2MiB live, 326.3MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 256	10	1 266
Fresh	6	6	12
Picked	3	2	5
Done	0	1	1
Total	1 265	19	1 284

Accuracy

100.0%

Counts

1 284 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.4%	(fma.f64 (/.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64))
	74.5%	(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
	10.8%	(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) #s(literal 64 binary64)))) #s(literal -1 binary64))
	56.8%	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
▶	66.0%	(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
▶	65.3%	(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
▶	48.1%	(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
	79.9%	(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (.f64 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)))
	42.0%	(pow.f64 a #s(literal 4 binary64))
	32.4%	(/.f64 (fma.f64 a (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.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)))
▶	81.9%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	58.0%	(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
	50.6%	(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
	42.4%	(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal 4 binary64) a))
	42.5%	(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
✓	42.0%	(.f64 (.f64 a a) (*.f64 a a))
	50.4%	(.f64 b (.f64 b (*.f64 b b)))
✓	42.0%	(.f64 a (.f64 a (*.f64 a a)))
✓	25.0%	#s(literal -1 binary64)

Compiler

Compiled 543 to 288 computations (47% saved)

simplify269.0ms (2.2%)

Memory

-23.1MiB live, 430.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(/.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64))
✓	cost-diff	640	(fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (*.f64 b b)) #s(literal 16 binary64)))
✓	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	(*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 a a #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 a a (*.f64 b b))
✓	cost-diff	128	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
✓	cost-diff	768	(+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b)))
✓	cost-diff	1088	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)))

Rules

9 246×	`accelerator-lowering-fma.f32`
9 246×	`accelerator-lowering-fma.f64`
2 714×	`-lowering-.f32`
2 714×	`-lowering-.f64`
1 892×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	238
1	108	206
2	270	206
3	523	206
4	756	206
5	1131	206
6	1531	206
7	3008	206
8	6364	206
0	8278	183

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (* b b))) (* 4 (* b b))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (* b b))) (* 4 (* b b)))
(/ (+ (* a a) (* b b)) (/ 1 (* b b)))
(+ (* a a) (* b b))
a
(* b b)
b
(/ 1 (* b b))
1
(* 4 (* b b))
4
(+ (* (* a a) 4) -1)
(* a a)
a
4
-1
(+ (* (* a a) (+ (* a a) 4)) -1)
(* a a)
a
(+ (* a a) 4)
4
-1
(+ (* (* a (+ (* a (+ a 4)) 4)) a) -1)
(* a (+ (* a (+ a 4)) 4))
a
(+ (* a (+ a 4)) 4)
(+ a 4)
4
-1
(+ (* (/ (* b b) (+ (* (* b b) -4) (+ (* b (* b (* b b))) 16))) (+ (* (* b b) (* b (* b (* b b)))) 64)) -1)
(/ (* b b) (+ (* (* b b) -4) (+ (* b (* b (* b b))) 16)))
(* b b)
b
(+ (* (* b b) -4) (+ (* b (* b (* b b))) 16))
-4
(+ (* b (* b (* b b))) 16)
(* b (* b b))
16
(+ (* (* b b) (* b (* b (* b b)))) 64)
(* b (* b (* b b)))
64
-1

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

localize96.0ms (0.8%)

Memory

28.0MiB live, 184.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	75.7%	(fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (*.f64 b b)) #s(literal 16 binary64)))
✓	accuracy	72.9%	(fma.f64 (/.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64))
✓	accuracy	59.4%	(/.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64))))
✓	accuracy	100.0%	(+.f64 a #s(literal 4 binary64))
✓	accuracy	100.0%	(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
✓	accuracy	100.0%	(fma.f64 a a #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 b b))
✓	accuracy	89.6%	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)))

Samples

55.0ms

256×

valid

Compiler

Compiled 238 to 39 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 21.0ms (54.1% of total)

ival-add: 12.0ms (30.9% of total)

ival-div: 4.0ms (10.3% of total)

ival-sub: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

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

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

series11.0ms (0.1%)

Memory

-17.7MiB live, 18.7MiB allocated

Counts

19 → 276

Calls

Call 1

Inputs
#<alt (/ (+ (* a a) (* b b)) (/ 1 (* b b)))>
#<alt (+ (/ (+ (* a a) (* b b)) (/ 1 (* b b))) (* 4 (* b b)))>
#<alt (- (+ (/ (+ (* a a) (* b b)) (/ 1 (* b b))) (* 4 (* b b))) 1)>
#<alt (+ (* a a) (* b b))>
#<alt (+ (* (* a a) 4) -1)>
#<alt (* a a)>
#<alt (+ (* (* a a) (+ (* a a) 4)) -1)>
#<alt (+ (* a a) 4)>
#<alt (+ (* (* a (+ (* a (+ a 4)) 4)) a) -1)>
#<alt (* a (+ (* a (+ a 4)) 4))>
#<alt (+ (* a (+ a 4)) 4)>
#<alt (+ a 4)>
#<alt (+ (* (* b b) -4) (+ (* b (* b (* b b))) 16))>
#<alt (+ (* (/ (* b b) (+ (* (* b b) -4) (+ (* b (* b (* b b))) 16))) (+ (* (* b b) (* b (* b (* b b)))) 64)) -1)>
#<alt (/ (* b b) (+ (* (* b b) -4) (+ (* b (* b (* b b))) 16)))>
#<alt (* b b)>
#<alt (/ 1 (* b b))>
#<alt (* 4 (* b b))>
#<alt (* b (* b (* b b)))>

Outputs
#<alt (pow b 4)>
#<alt (+ (* (pow a 2) (pow b 2)) (pow b 4))>
#<alt (+ (* (pow a 2) (pow b 2)) (pow b 4))>
#<alt (+ (* (pow a 2) (pow b 2)) (pow b 4))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))>
#<alt (* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))>
#<alt (* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))>
#<alt (* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))>
#<alt (* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow b 2) (+ (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (pow a 2) (pow b 2)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4)))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))>
#<alt (* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))>
#<alt (* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))>
#<alt (* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))>
#<alt (* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (pow a 2)))>
#<alt (* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4))) 1)>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))>
#<alt -1>
#<alt (- (* (pow b 2) (+ 4 (pow a 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))) (/ 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 -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (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 a 2)>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (pow a 2))) 1)>
#<alt (- (* (pow a 2) (+ 4 (pow a 2))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt 4>
#<alt (+ 4 (pow a 2))>
#<alt (+ 4 (pow a 2))>
#<alt (+ 4 (pow a 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (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 a)>
#<alt (* a (+ 4 (* 4 a)))>
#<alt (* a (+ 4 (* a (+ 4 a))))>
#<alt (* a (+ 4 (* a (+ 4 a))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))>
#<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 16>
#<alt (+ 16 (* -4 (pow b 2)))>
#<alt (+ 16 (* (pow b 2) (- (pow b 2) 4)))>
#<alt (+ 16 (* (pow b 2) (- (pow b 2) 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 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 (* 1/16 (pow b 2))>
#<alt (* (pow b 2) (+ 1/16 (* 1/64 (pow b 2))))>
#<alt (* (pow b 2) (+ 1/16 (* (pow b 2) (+ 1/64 (* -1/1024 (pow b 4))))))>
#<alt (* (pow b 2) (+ 1/16 (* (pow b 2) (+ 1/64 (* (pow b 4) (- (* -1/4096 (pow b 2)) 1/1024))))))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 64 (pow b 6))) (pow b 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 64 (* 256 (/ 1 (pow b 2)))) (pow b 6))) (* 4 (/ 1 (pow b 2))))) (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)))) (/ 64 (pow b 6))) (pow b 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 64 (* 256 (/ 1 (pow b 2)))) (pow b 6))) (* 4 (/ 1 (pow b 2))))) (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 (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 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)>

Calls

69 calls:

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

rewrite315.0ms (2.5%)

Memory

7.0MiB live, 611.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 534×	`-lowering-.f32`
4 534×	`-lowering-.f64`
4 246×	`/-lowering-/.f32`
4 246×	`/-lowering-/.f64`
4 082×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	195
1	274	167
2	2505	167
0	8569	147

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 625

Calls

Call 1

Inputs
(/ (+ (* a a) (* b b)) (/ 1 (* b b)))
(+ (/ (+ (* a a) (* b b)) (/ 1 (* b b))) (* 4 (* b b)))
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (* b b))) (* 4 (* b b))) 1)
(+ (* a a) (* b b))
(+ (* (* a a) 4) -1)
(* a a)
(+ (* (* a a) (+ (* a a) 4)) -1)
(+ (* a a) 4)
(+ (* (* a (+ (* a (+ a 4)) 4)) a) -1)
(* a (+ (* a (+ a 4)) 4))
(+ (* a (+ a 4)) 4)
(+ a 4)
(+ (* (* b b) -4) (+ (* b (* b (* b b))) 16))
(+ (* (/ (* b b) (+ (* (* b b) -4) (+ (* b (* b (* b b))) 16))) (+ (* (* b b) (* b (* b (* b b)))) 64)) -1)
(/ (* b b) (+ (* (* b b) -4) (+ (* b (* b (* b b))) 16)))
(* b b)
(/ 1 (* b b))
(* 4 (* b b))
(* b (* b (* b b)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 b b))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 b b))) (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))))
(neg.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal -1 binary64) (.f64 b b))))
(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 a a (.f64 b b))) (/.f64 #s(literal -1 binary64) (.f64 b b)))
(/.f64 (fma.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (fma.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 b b))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 a a)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 b b)) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 a a)))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 b b)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 a a (.f64 b b))))) (/.f64 #s(literal -1 binary64) (.f64 b b)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 b b))) (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 b b))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(.f64 (fma.f64 a a (.f64 b b)) (*.f64 b b))
(.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))
(.f64 (neg.f64 (fma.f64 a a (.f64 b b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(.f64 (.f64 (fma.f64 a a (*.f64 b b)) b) b)
(.f64 (/.f64 (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)) (neg.f64 (*.f64 b b)))
(.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) b)) b)
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (fma.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 a a))))))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))))
(+.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 b (*.f64 b #s(literal 4 binary64))))
(+.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(-.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 b b) (-.f64 (fma.f64 a a (.f64 b b)) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 16 binary64))) (.f64 (.f64 b b) (-.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 16 binary64))) (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))) (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) (-.f64 (.f64 b (.f64 b #s(literal 4 binary64))) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))))
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(pow.f64 (/.f64 (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 16 binary64)) (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 16 binary64)) (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 16 binary64))) #s(literal -1 binary64))
(.f64 b (/.f64 b (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 16 binary64))))
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 16 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 16 binary64))))
(.f64 (neg.f64 (.f64 b b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 16 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 16 binary64))) (.f64 b b))
(.f64 (/.f64 b (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 16 binary64))) b)
(.f64 (/.f64 (.f64 b b) (fma.f64 b (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b b))) #s(literal 64 binary64)) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64)) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64)) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64)))))) (fma.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64)) (-.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64)) (.f64 b (.f64 b #s(literal -4 binary64)))) (.f64 (.f64 b b) (.f64 (*.f64 b b) #s(literal 16 binary64)))))
(.f64 (/.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 16 binary64)) (-.f64 (.f64 b (.f64 b #s(literal -4 binary64))) (fma.f64 (.f64 b b) (.f64 b b) #s(literal 16 binary64))))) (-.f64 (.f64 b (.f64 b #s(literal -4 binary64))) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal 16 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 b b))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) #s(literal -1 binary64)))
(/.f64 (*.f64 b b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 b b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 b b))) #s(literal 1 binary64))
(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 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 b (/.f64 b #s(literal 1 binary64)))
(*.f64 b (pow.f64 (/.f64 b #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 b b))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 b b)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (.f64 b b)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b))))
(/.f64 (/.f64 #s(literal 1 binary64) b) b)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b))) (neg.f64 (neg.f64 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 b (.f64 b (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 2 binary64)))
(pow.f64 b #s(literal 4 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -2 binary64))
(pow.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(.f64 (.f64 b b) (pow.f64 (/.f64 b #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b))))
(.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 b b)) #s(literal 2 binary64)))
(.f64 (.f64 b (*.f64 b b)) b)
(.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64))

simplify355.0ms (2.9%)

Memory

-6.6MiB live, 550.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 270×	`accelerator-lowering-fma.f32`
13 270×	`accelerator-lowering-fma.f64`
3 376×	`-lowering-.f32`
3 376×	`-lowering-.f64`
2 410×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	2090
1	495	2088
2	1350	2076
3	3342	2056
4	7135	2056
0	8046	1839

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(pow b 4)
(+ (* (pow a 2) (pow b 2)) (pow b 4))
(+ (* (pow a 2) (pow b 2)) (pow b 4))
(+ (* (pow a 2) (pow b 2)) (pow b 4))
(* (pow a 2) (pow b 2))
(* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))
(* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))
(* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))
(* (pow a 2) (pow b 2))
(* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))
(* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))
(* (pow a 2) (+ (/ (pow b 4) (pow a 2)) (pow b 2)))
(* (pow a 2) (pow b 2))
(* (pow b 2) (+ (pow a 2) (pow b 2)))
(* (pow b 2) (+ (pow a 2) (pow b 2)))
(* (pow b 2) (+ (pow a 2) (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (+ 1 (/ (pow a 2) (pow b 2))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4)))
(* (pow a 2) (pow b 2))
(* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))
(* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))
(* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))
(* (pow a 2) (pow b 2))
(* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))
(* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))
(* (pow a 2) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))))
(* (pow b 2) (+ 4 (pow a 2)))
(* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (pow b 2)) (pow b 4))) 1)
(* (pow a 2) (pow b 2))
(* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))
(* (pow a 2) (pow b 2))
(* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (/ (pow b 4) (pow a 2)) (pow b 2))) (/ 1 (pow a 2))))
-1
(- (* (pow b 2) (+ 4 (pow a 2))) 1)
(- (* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (pow a 2) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 2) (pow b 2)))) (/ 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))))
-1
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (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 a 2)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (pow a 2))) 1)
(- (* (pow a 2) (+ 4 (pow a 2))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
4
(+ 4 (pow a 2))
(+ 4 (pow a 2))
(+ 4 (pow a 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (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 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(* a (+ 4 (* a (+ 4 a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
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))))
16
(+ 16 (* -4 (pow b 2)))
(+ 16 (* (pow b 2) (- (pow b 2) 4)))
(+ 16 (* (pow b 2) (- (pow b 2) 4)))
(pow b 4)
(* (pow b 4) (- 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (- 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 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))))
(* 1/16 (pow b 2))
(* (pow b 2) (+ 1/16 (* 1/64 (pow b 2))))
(* (pow b 2) (+ 1/16 (* (pow b 2) (+ 1/64 (* -1/1024 (pow b 4))))))
(* (pow b 2) (+ 1/16 (* (pow b 2) (+ 1/64 (* (pow b 4) (- (* -1/4096 (pow b 2)) 1/1024))))))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 64 (pow b 6))) (pow b 2))
(/ (+ 1 (+ (* -1 (/ (+ 64 (* 256 (/ 1 (pow b 2)))) (pow b 6))) (* 4 (/ 1 (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 64 (pow b 6))) (pow b 2))
(/ (+ 1 (+ (* -1 (/ (+ 64 (* 256 (/ 1 (pow b 2)))) (pow b 6))) (* 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)
(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 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)

Outputs
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* (pow a 2) (pow b 2)) (pow b 4))
(.f64 b (.f64 b (fma.f64 b b (*.f64 a a))))
(+ (* (pow a 2) (pow b 2)) (pow b 4))
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#s(literal 4 binary64)
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(pow a 2)
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#s(literal -1 binary64)
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4
#s(literal 4 binary64)
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(pow a 2)
(*.f64 a a)
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(*.f64 a (+.f64 #s(literal 4 binary64) a))
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(pow a 2)
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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
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(+.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)
16
#s(literal 16 binary64)
(+ 16 (* -4 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -4 binary64)) #s(literal 16 binary64))
(+ 16 (* (pow b 2) (- (pow b 2) 4)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal -4 binary64)) #s(literal 16 binary64))
(+ 16 (* (pow b 2) (- (pow b 2) 4)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal -4 binary64)) #s(literal 16 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (- 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 b b #s(literal -4 binary64)))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) #s(literal -4 binary64)))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) #s(literal -4 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (- 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 b b #s(literal -4 binary64)))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) #s(literal -4 binary64)))
(* (pow b 4) (- (+ 1 (/ 16 (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) #s(literal -4 binary64)))
-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 (.f64 b 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 (.f64 b 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))
(* 1/16 (pow b 2))
(.f64 b (.f64 b #s(literal 1/16 binary64)))
(* (pow b 2) (+ 1/16 (* 1/64 (pow b 2))))
(.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))
(* (pow b 2) (+ 1/16 (* (pow b 2) (+ 1/64 (* -1/1024 (pow b 4))))))
(.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -1/1024 binary64) #s(literal 1/64 binary64))) #s(literal 1/16 binary64)))
(* (pow b 2) (+ 1/16 (* (pow b 2) (+ 1/64 (* (pow b 4) (- (* -1/4096 (pow b 2)) 1/1024))))))
(.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (*.f64 b b) #s(literal -1/4096 binary64) #s(literal -1/1024 binary64)) #s(literal 1/64 binary64)) #s(literal 1/16 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)))) (/ 64 (pow b 6))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 #s(literal -64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (*.f64 b b))
(/ (+ 1 (+ (* -1 (/ (+ 64 (* 256 (/ 1 (pow b 2)))) (pow b 6))) (* 4 (/ 1 (pow b 2))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 (+.f64 #s(literal -64 binary64) (/.f64 #s(literal -256 binary64) (.f64 b b))) (.f64 (.f64 b (.f64 b 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)))) (/ 64 (pow b 6))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 #s(literal -64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (*.f64 b b))
(/ (+ 1 (+ (* -1 (/ (+ 64 (* 256 (/ 1 (pow b 2)))) (pow b 6))) (* 4 (/ 1 (pow b 2))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 (+.f64 #s(literal -64 binary64) (/.f64 #s(literal -256 binary64) (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (.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)
(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 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))

eval154.0ms (1.2%)

Memory: 31.3MiB live, 344.8MiB allocated
Compiler: Compiled 38 729 to 2 887 computations (92.5% saved)

prune177.0ms (1.4%)

Memory

-21.4MiB live, 295.3MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 182	10	1 192
Fresh	2	9	11
Picked	4	1	5
Done	0	3	3
Total	1 188	23	1 211

Accuracy

100.0%

Counts

1 211 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.8%	(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a a) (*.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))) a #s(literal -1 binary64))
	25.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64))
	74.5%	(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
	56.8%	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
✓	66.0%	(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
	66.0%	(fma.f64 (.f64 a (fma.f64 a (.f64 (fma.f64 a a #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -4 binary64)))) #s(literal 4 binary64))) a #s(literal -1 binary64))
	79.9%	(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (.f64 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)))
	42.0%	(pow.f64 a #s(literal 4 binary64))
	31.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 a (fma.f64 a a #s(literal 4 binary64))) (.f64 a (.f64 a (fma.f64 a a #s(literal 4 binary64))))))) (-.f64 #s(literal -1 binary64) (.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))))
	81.9%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	74.4%	(-.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	57.9%	(.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 4 binary64))))
	58.0%	(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
	50.6%	(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
	42.4%	(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal 4 binary64) a))
	42.5%	(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
✓	42.0%	(.f64 (.f64 a a) (*.f64 a a))
	50.4%	(.f64 b (.f64 b (*.f64 b b)))
	42.0%	(.f64 a (.f64 a (fma.f64 a a #s(literal 4 binary64))))
	42.4%	(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
✓	42.0%	(.f64 a (.f64 a (*.f64 a a)))
	24.8%	(.f64 #s(literal 4 binary64) (.f64 a a))
✓	25.0%	#s(literal -1 binary64)

Compiler

Compiled 1 390 to 371 computations (73.3% saved)

regimes63.0ms (0.5%)

Memory

18.7MiB live, 139.3MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(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 a (.f64 a (fma.f64 a a #s(literal 4 binary64))))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a 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))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal 4 binary64) a))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 4 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))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (.f64 b (.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))
(fma.f64 (.f64 a (fma.f64 a (.f64 (fma.f64 a a #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -4 binary64)))) #s(literal 4 binary64))) a #s(literal -1 binary64))
(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)))
(-.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a a) (*.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))) a #s(literal -1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.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 (/.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 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 a (fma.f64 a a #s(literal 4 binary64))) (.f64 a (.f64 a (fma.f64 a a #s(literal 4 binary64))))))) (-.f64 #s(literal -1 binary64) (.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) #s(literal 64 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 a (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.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)))
(fma.f64 (/.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -4 binary64) (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (/.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) #s(literal 64 binary64)) (-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal 16 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (*.f64 b b)) #s(literal 64 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))
(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 (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 (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)))) (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)))
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (.f64 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)))
(-.f64 (/.f64 (fma.f64 (.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)))))) #s(literal 4 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))) (.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 (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 (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.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 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.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))))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.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))))) (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))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #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 b b))) #s(literal 1 binary64))

Calls

5 calls:

13.0ms	(*.f64 b b)
13.0ms	a
12.0ms	b
11.0ms	(+.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))))))
11.0ms	(-.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
99.2%	1	`a`
99.2%	1	`b`
99.2%	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))`
99.2%	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))))))`
99.2%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes47.0ms (0.4%)

Memory

-35.8MiB live, 96.4MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(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 a (.f64 a (fma.f64 a a #s(literal 4 binary64))))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a 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))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal 4 binary64) a))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 4 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))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (.f64 b (.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))
(fma.f64 (.f64 a (fma.f64 a (.f64 (fma.f64 a a #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -4 binary64)))) #s(literal 4 binary64))) a #s(literal -1 binary64))
(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)))
(-.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a a) (*.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))) a #s(literal -1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.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))

Outputs

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

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

Calls

5 calls:

11.0ms	(-.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))
9.0ms	(*.f64 b b)
8.0ms	b
8.0ms	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
94.0%	3	`a`
97.8%	2	`b`
86.6%	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))`
86.6%	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))))))`
97.8%	2	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes16.0ms (0.1%)

Memory

32.9MiB live, 32.9MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(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 a (.f64 a (fma.f64 a a #s(literal 4 binary64))))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a 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))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal 4 binary64) a))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 4 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))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (.f64 b (.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))))))
(fma.f64 (.f64 a (fma.f64 a (.f64 (fma.f64 a a #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -4 binary64)))) #s(literal 4 binary64))) a #s(literal -1 binary64))
(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)))
(-.f64 (+.f64 (/.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (fma.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 a a) (*.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))) a #s(literal -1 binary64))

Outputs

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

(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))

Calls

2 calls:

8.0ms	b
7.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
97.8%	2	`b`
97.8%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes13.0ms (0.1%)

Memory

-5.0MiB live, 34.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(*.f64 b b)
6.0ms	b

Results

Accuracy	Segments	Branch
97.6%	2	`b`
97.6%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory

4.6MiB live, 43.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(*.f64 b b)
6.0ms	b

Results

Accuracy	Segments	Branch
95.9%	2	`b`
95.9%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory

-9.3MiB live, 31.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(*.f64 b b)
5.0ms	b

Results

Accuracy	Segments	Branch
95.3%	2	`b`
95.3%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory

-14.4MiB live, 24.5MiB allocated

Counts

13 → 2

Calls

Call 1

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

Calls

2 calls:

6.0ms	b
4.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
95.2%	2	`b`
95.2%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.1%	2	`b`
95.1%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes13.0ms (0.1%)

Memory

-7.5MiB live, 31.7MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
93.3%	3	`a`
84.2%	2	`b`
84.2%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes19.0ms (0.2%)

Memory

6.2MiB live, 43.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(+.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))))))
4.0ms	a
4.0ms	b
3.0ms	(-.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))
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
84.2%	2	`b`
84.2%	2	`(*.f64 b b)`
81.0%	4	`(-.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))`
81.0%	4	`(+.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))))))`
81.5%	3	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes11.0ms (0.1%)

Memory

-18.7MiB live, 20.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	b
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
83.9%	2	`b`
83.9%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(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
81.5%	3	`a`
73.9%	3	`b`
73.9%	3	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes13.0ms (0.1%)

Memory

-5.9MiB live, 32.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

Calls

5 calls:

4.0ms	a
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	(*.f64 b 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))

Results

Accuracy	Segments	Branch
69.5%	2	`b`
69.5%	2	`(*.f64 b b)`
59.3%	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))`
59.3%	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))))))`
69.9%	3	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes12.0ms (0.1%)

Memory

-8.7MiB live, 29.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	a
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	(-.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
48.1%	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))`
48.1%	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))))))`
48.1%	1	`a`
48.1%	1	`b`
48.1%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes10.0ms (0.1%)

Memory

-12.9MiB live, 25.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	a
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	b
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))
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
38.8%	2	`(*.f64 b b)`
38.8%	2	`b`
48.2%	3	`a`
48.5%	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))`
48.5%	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)

regimes7.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB 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	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))
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
25.0%	1	`b`
25.0%	1	`(*.f64 b b)`
25.0%	1	`a`
25.0%	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))`
25.0%	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

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0627665697311162e-5	0.00024432639571403706

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0627665697311162e-5	0.00024432639571403706

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0627665697311162e-5	0.00024432639571403706

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00024432639571403706	2695.14288077965

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00024432639571403706	2695.14288077965

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00024432639571403706	2695.14288077965

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00024432639571403706	2695.14288077965

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch44.0ms (0.4%)

Memory

9.2MiB live, 83.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.803788256042494e+35	1.4057410841101414e+39
21.0ms	-1145637153284604900.0	-700091027225894.4

Samples

32.0ms

256×

valid

Compiler

Compiled 372 to 215 computations (42.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 10.0ms (38.4% of total)

ival-mult: 8.0ms (30.7% of total)

ival-pow2: 6.0ms (23% of total)

ival-sub: 2.0ms (7.7% 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

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00024432639571403706	2695.14288077965

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00024432639571403706	2695.14288077965

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch42.0ms (0.3%)

Memory

-0.4MiB live, 72.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7269257338512884	322.1339144442457
23.0ms	-528253534922.96655	-0.0008690400974291957

Samples

25.0ms

272×

valid

Compiler

Compiled 359 to 244 computations (32% saved)

Precisions

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

ival-mult: 8.0ms (45.3% of total)

ival-add: 4.0ms (22.6% of total)

ival-sub: 2.0ms (11.3% of total)

ival-pow2: 2.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Memory

-16.0MiB live, 33.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7.610375306131791e+306	+inf

Samples

9.0ms

112×

valid

Compiler

Compiled 146 to 114 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (45.1% of total)

ival-add: 2.0ms (30.1% of total)

ival-sub: 1.0ms (15% of total)

ival-pow2: 1.0ms (15% 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	7.253611383475849e-10	7274575.7193403505

Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify14.0ms (0.1%)

Memory

-12.3MiB live, 27.3MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
30×	`+-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	84	363
1	123	363
2	137	363
3	150	363
4	154	363
5	155	363

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.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 b b))) #s(literal 1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64)) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64)) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 4 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 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 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 (.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 (.f64 a a) (fma.f64 a 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 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 (.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(if (<=.f64 a #s(literal -8800000000000000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 500000000000000021210318687008980992 binary64)) (fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -66000000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 320 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 43999999999999998886406552067604189040718445828546359534235692129023304376123262326582351255366410487620577460568755035395142249492985443686504693332309331662422093753425395705702357106950424765038712009622210772385149559898556683491711762049454970462940732117149816640631667772406630926222153530514090229760 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 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 4835703278458517/4835703278458516698824704 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 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 b b))) #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 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b))))))
(if (<=.f64 (.f64 b b) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64)) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 5902958103587057/295147905179352825856 binary64)) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64)) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 4 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 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 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 (.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 (.f64 a a) (fma.f64 a 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 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 (.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(if (<=.f64 a #s(literal -8800000000000000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 500000000000000021210318687008980992 binary64)) (fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/18446744073709551616 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -66000000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 320 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 43999999999999998886406552067604189040718445828546359534235692129023304376123262326582351255366410487620577460568755035395142249492985443686504693332309331662422093753425395705702357106950424765038712009622210772385149559898556683491711762049454970462940732117149816640631667772406630926222153530514090229760 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 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 4835703278458517/4835703278458516698824704 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 a a)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) #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 4835703278458517/4835703278458516698824704 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 a a)))
#s(literal -1 binary64)

soundness1.8s (14.8%)

Memory

10.2MiB live, 1 159.0MiB allocated

Rules

22 216×	`accelerator-lowering-fma.f32`
22 216×	`accelerator-lowering-fma.f64`
22 048×	`accelerator-lowering-fma.f32`
22 048×	`accelerator-lowering-fma.f64`
16 744×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	233
1	305	223
2	2846	205
0	9024	174
0	223	2720
1	645	2636
2	1779	2542
3	6916	2512
0	8195	2304
0	345	4473
1	1073	4357
2	3246	4179
0	8471	3812
0	19	102
1	132	102
2	1240	102
0	8235	82
0	32	213
1	250	185
2	2177	167
0	8181	151
0	160	2090
1	495	2088
2	1350	2076
3	3342	2056
4	7135	2056
0	8046	1839
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
1×	iter limit
1×	node limit

Compiler

Compiled 1 148 to 528 computations (54% saved)

preprocess122.0ms (1%)

Memory: -2.2MiB live, 164.3MiB allocated
Remove: (abs b)
Compiler: Compiled 920 to 254 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.2s (10%)

preprocess509.0ms (4.1%)

explain498.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.1s (8.9%)

localize57.0ms (0.5%)

series10.0ms (0.1%)

rewrite392.0ms (3.1%)

simplify436.0ms (3.5%)

eval100.0ms (0.8%)

prune91.0ms (0.7%)

simplify614.0ms (4.9%)

localize121.0ms (1%)

series16.0ms (0.1%)

rewrite689.0ms (5.5%)

simplify572.0ms (4.6%)

eval337.0ms (2.7%)

prune226.0ms (1.8%)

simplify426.0ms (3.4%)

localize97.0ms (0.8%)

series13.0ms (0.1%)

rewrite355.0ms (2.9%)

simplify480.0ms (3.9%)

eval177.0ms (1.4%)

prune126.0ms (1%)

simplify269.0ms (2.2%)

localize96.0ms (0.8%)

series11.0ms (0.1%)

rewrite315.0ms (2.5%)

simplify355.0ms (2.9%)

eval154.0ms (1.2%)

prune177.0ms (1.4%)

regimes63.0ms (0.5%)

regimes47.0ms (0.4%)

regimes16.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes13.0ms (0.1%)

regimes19.0ms (0.2%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch44.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch42.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.8s (14.8%)

preprocess122.0ms (1%)

end0.0ms (0%)

Profiling