Metrics for Bouland and Aaronson, Equation (24)

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 31 to 19 computations (38.7% saved)

sample1.3s (9.7%)

Memory

19.1MiB live, 1 895.8MiB allocated

Samples

913.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 684.0ms

ival-mult: 267.0ms (39.1% of total)

ival-add: 185.0ms (27.1% of total)

ival-pow2: 109.0ms (15.9% of total)

ival-sub: 104.0ms (15.2% of total)

exact: 11.0ms (1.6% of total)

ival-true: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess1.5s (11.1%)

Memory

-5.5MiB live, 795.5MiB allocated

Algorithm

2×	egg-herbie

Rules

26 512×	`accelerator-lowering-fma.f32`
26 512×	`accelerator-lowering-fma.f64`
4 188×	`+-lowering-+.f64`
4 188×	`+-lowering-+.f32`
3 330×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	178
1	175	176
2	699	174
3	3005	174
4	6924	174
0	18	29
1	51	29
2	167	29
3	533	29
4	1538	29
5	2825	29
6	6683	29
0	8075	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) (+ 3 a))))) 1)

Outputs

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

(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (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) (+ 3 a))))) 1)
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (- 1 (neg a))) (* (* b b) (+ 3 (neg a)))))) 1)
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* (neg b) (neg b)) (+ 3 a))))) 1)
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (- 1 (neg a))) (* (* b b) (+ 3 (neg a)))))) 1))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* (neg b) (neg b)) (+ 3 a))))) 1))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (- 1 b)) (* (* a a) (+ 3 b))))) 1)

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

Symmetry

(abs b)

explain368.0ms (2.7%)

Memory

-3.0MiB live, 536.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
48	-	-	`(+.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 3 binary64) a)))))`
30	-	-	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`
14	-	-	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`
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 3 binary64) a))))) #s(literal 1 binary64))`
0	-	-	`(*.f64 b b)`
0	-	-	`(-.f64 #s(literal 1 binary64) a)`
0	-	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))`
0	-	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 #s(literal 3 binary64) a)`
0	-	-	`b`

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 3 binary64) a)))))`	nan-rescue	48	0
↳	`(*.f64 b b)`	overflow	59
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	146
↳	`(*.f64 a a)`	overflow	60
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	105
↳	`(*.f64 b b)`	overflow	59
↳	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))`	overflow	125
↳	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	overflow	125
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	76
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	79
↳	`(*.f64 a a)`	overflow	60
`+.f64`	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	nan-rescue	30	0
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	79
↳	`(*.f64 a a)`	overflow	60
↳	`(*.f64 b b)`	overflow	59
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	76

Confusion

	Predicted +	Predicted -
+	57	0
-	0	199

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	57	0	0
-	0	0	199

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	199
1	36
2	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 338 to 76 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 16.0ms (45.2% of total)

ival-add: 9.0ms (25.4% of total)

ival-sub: 5.0ms (14.1% of total)

ival-pow2: 5.0ms (14.1% of total)

exact: 1.0ms (2.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(-.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 3 binary64) a))))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

77.6%

(-.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 3 binary64) a))))) #s(literal 1 binary64))

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify601.0ms (4.4%)

Memory

-26.0MiB live, 1 284.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))
✓	cost-diff	192	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	640	(+.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 3 binary64) a)))))
✓	cost-diff	5312	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Rules

26 512×	`accelerator-lowering-fma.f32`
26 512×	`accelerator-lowering-fma.f64`
4 188×	`+-lowering-+.f64`
4 188×	`+-lowering-+.f32`
3 330×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	136
1	51	136
2	167	136
3	533	136
4	1538	136
5	2825	136
6	6683	136
0	8075	126

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

Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (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) (+ 3 a)))))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))))
(pow (+ (* a a) (* b b)) 2)
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* a a) (* b b))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
2
#s(literal 2 binary64)
(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 0 binary64)))
4
#s(literal 4 binary64)
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) #s(literal 0 binary64)))
(* (* a a) (- 1 a))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)) #s(literal 0 binary64))
(- 1 a)
(-.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(* (* b b) (+ 3 a))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) #s(literal 0 binary64))
(+ 3 a)
(+.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize50.0ms (0.4%)

Memory

18.1MiB live, 135.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
✓	accuracy	94.7%	(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))
✓	accuracy	89.0%	(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))
✓	accuracy	85.1%	(+.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 3 binary64) a)))))

Samples

27.0ms

256×

valid

Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions

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

ival-mult: 7.0ms (40.8% of total)

ival-add: 5.0ms (29.1% of total)

ival-sub: 2.0ms (11.7% of total)

ival-pow2: 2.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-17.9MiB live, 24.9MiB allocated

Counts

5 → 120

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

Calls

30 calls:

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

rewrite528.0ms (3.9%)

Memory

19.5MiB live, 869.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 560×	`accelerator-lowering-fma.f32`
7 560×	`accelerator-lowering-fma.f64`
4 772×	`-lowering-.f32`
4 772×	`-lowering-.f64`
3 346×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
1	112	65
2	1049	65
0	8469	56

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 451

Calls

Call 1

Inputs
(pow (+ (* a a) (* b b)) 2)
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
(+ (* a a) (* b b))
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(* (* b b) (+ 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)))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) a) (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) a) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 b b)))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) b) (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) b) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 a a)))
(fma.f64 (.f64 a (sqrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 a (sqrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (.f64 b (sqrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 b (sqrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 (.f64 a a) (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 (.f64 (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 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 a) (-.f64 b a)) (.f64 a (.f64 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 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 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)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 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 a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 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 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (.f64 (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a))))))
(/.f64 (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 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 a) (-.f64 b a)) (.f64 a (.f64 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 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a))))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a 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 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 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 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (fma.f64 a a (.f64 b b))) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 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 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))) (neg.f64 (.f64 (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 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 a) (-.f64 b a)) (.f64 a (.f64 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 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))) (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (.f64 a a)))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a 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 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 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))))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (fma.f64 a a (.f64 b b)))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 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)))) (-.f64 #s(literal 0 binary64) (.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)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64))) (fma.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 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (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)))))))
(/.f64 (-.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 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 (.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 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 (.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 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)))))
(/.f64 (-.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 a a) (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)))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 a a (*.f64 b b))))
(.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))
(.f64 (.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 (+.f64 b a) (-.f64 b a)) (.f64 a (.f64 a (*.f64 a a))))) #s(literal 2 binary64)))
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(.f64 (+.f64 a #s(literal 3 binary64)) (.f64 b b))
(.f64 (.f64 b (+.f64 a #s(literal 3 binary64))) b)
(.f64 (fma.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) #s(literal 27 binary64) (.f64 (.f64 (.f64 a b) b) (.f64 (.f64 b b) (.f64 a (.f64 (.f64 a b) b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 9 binary64) (-.f64 (.f64 (.f64 b b) (.f64 a (.f64 (.f64 a b) b))) (.f64 (.f64 b (.f64 b #s(literal 3 binary64))) (.f64 (*.f64 a b) b))))))
(.f64 (.f64 (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))) (-.f64 (.f64 b (.f64 b #s(literal 3 binary64))) (.f64 (.f64 a b) b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 b #s(literal 3 binary64))) (.f64 (.f64 a b) b))))
(.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(.f64 (.f64 (.f64 b b) (-.f64 #s(literal 9 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a)))
(.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal 27 binary64)) (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 a a)) (.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a)))

simplify443.0ms (3.2%)

Memory

6.9MiB live, 643.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 152×	`accelerator-lowering-fma.f32`
16 152×	`accelerator-lowering-fma.f64`
3 716×	`+-lowering-+.f64`
3 716×	`+-lowering-+.f32`
3 650×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	1612
1	564	1579
2	1716	1539
3	5116	1478
4	7248	1478
0	8277	1357

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

Outputs
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 b (.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64))))))
(+ (* (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) (fma.f64 a a #s(literal 0 binary64))))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(+ (* (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) (fma.f64 a a #s(literal 0 binary64))))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(pow a 4)
(.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64))) #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 (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64))) #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 (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64))) #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 (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64))) #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 (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 a a #s(literal 0 binary64))))
(+ (* (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) (fma.f64 a a #s(literal 0 binary64))))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(+ (* (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) (fma.f64 a a #s(literal 0 binary64))))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.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 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 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 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.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 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 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 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(+ (* 12 (pow b 2)) (pow b 4))
(.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64))))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))))
(pow a 4)
(.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 b (/.f64 (.f64 b #s(literal 2 binary64)) (fma.f64 a a #s(literal 0 binary64))) (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 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (/.f64 (.f64 b b) (fma.f64 a a #s(literal 0 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 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 (fma.f64 a a #s(literal 0 binary64))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (+.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 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (+.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 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b b)) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (.f64 b b)))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b b)) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (.f64 b b)))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b b)) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (.f64 b b)))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b b)) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (.f64 b b)))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(pow a 2)
(fma.f64 a a #s(literal 0 binary64))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* 3 (pow b 2))
(.f64 (.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))
(* -1 (pow a 3))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))
(* (pow a 3) (- (/ 1 a) 1))
(.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(.f64 a (fma.f64 b b (.f64 (fma.f64 a a #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 (/.f64 (.f64 b b) (fma.f64 a a #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))
(* -1 (pow a 3))
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 a a #s(literal 0 binary64))))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(.f64 a (fma.f64 b b (.f64 (fma.f64 a a #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(.f64 a (.f64 (fma.f64 a a #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a))))
(* (pow a 2) (- 1 a))
(.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(.f64 (.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(.f64 a (.f64 b b))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (.f64 b a) (neg.f64 (.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (.f64 b a) (neg.f64 (.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (.f64 b a) (neg.f64 (.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (pow b 2))
(.f64 a (.f64 b b))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (.f64 b a) (neg.f64 (.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (.f64 b a) (neg.f64 (.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (.f64 b a) (neg.f64 (.f64 (*.f64 b b) #s(literal -3 binary64))))

eval204.0ms (1.5%)

Memory: -19.3MiB live, 95.8MiB allocated
Compiler: Compiled 44 105 to 2 401 computations (94.6% saved)

prune71.0ms (0.5%)

Memory

21.2MiB live, 138.2MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	559	12	571
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	560	12	572

Accuracy

100.0%

Counts

572 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.4%	(-.f64 (fma.f64 (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal 1 binary64))
	13.8%	(-.f64 (fma.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))))) #s(literal 1 binary64))
▶	94.4%	(-.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64))
	80.7%	(-.f64 (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
	78.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))))))) #s(literal 1 binary64))
	77.7%	(-.f64 (+.f64 (fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64))))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
	77.6%	(-.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 3 binary64) a))))) #s(literal 1 binary64))
▶	70.5%	(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
	72.2%	(-.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal 1 binary64))
▶	72.6%	(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
▶	72.1%	(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
	70.3%	(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))

Compiler

Compiled 686 to 354 computations (48.4% saved)

simplify900.0ms (6.6%)

Memory

-7.1MiB live, 751.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
✓	cost-diff	0	(fma.f64 (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))))
✓	cost-diff	192	(-.f64 (fma.f64 (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 a a #s(literal 0 binary64))
✓	cost-diff	192	(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64))
✓	cost-diff	192	(fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))
✓	cost-diff	192	(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	cost-diff	-128	(.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64))))
✓	cost-diff	0	(fma.f64 b b #s(literal 12 binary64))
✓	cost-diff	0	(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
✓	cost-diff	256	(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 b b)
✓	cost-diff	-64	(.f64 b (.f64 b b))
✓	cost-diff	-64	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	192	(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))))
✓	cost-diff	192	(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64))
✓	cost-diff	192	(fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))
✓	cost-diff	192	(-.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64))

Rules

33 734×	`accelerator-lowering-fma.f32`
33 734×	`accelerator-lowering-fma.f64`
4 530×	`+-lowering-+.f64`
4 530×	`+-lowering-+.f32`
3 726×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	384
1	131	371
2	417	371
3	1389	357
4	2726	357
5	4623	357
6	7374	357
0	8218	314

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (+ (* (* b b) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))) 1)
(+ (* (* b b) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4))))
(* b b)
b
(+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))
(+ (* a (+ (* 2 a) 4)) 12)
a
(+ (* 2 a) 4)
2
4
12
(* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))
(+ (* a a) 0)
0
(+ (* a a) (+ (* 4 (- 0 a)) 4))
(+ (* 4 (- 0 a)) 4)
(- 0 a)
1
(- (* b (* b (* b b))) 1)
(* b (* b (* b b)))
b
(* b (* b b))
(* b b)
1
(- (* b (* b (+ (* b b) 12))) 1)
(* b (* b (+ (* b b) 12)))
b
(* b (+ (* b b) 12))
(+ (* b b) 12)
12
1
(- (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4))) 1)
(* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))
(+ (* a a) 0)
a
0
(+ (* a a) (+ (* 4 (- 0 a)) 4))
(+ (* 4 (- 0 a)) 4)
4
(- 0 a)
1
(- (+ (* (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)
(+ (* (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
(+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))
a
(* a (- 1 a))
(- 1 a)
1
(* b (* b (+ a 3)))
b
(* b (+ a 3))
(+ a 3)
3
4
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
(+ (* a a) (* b b))
(* b b)

Outputs
(- (+ (* (* b b) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))) 1)
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64)))
(+ (* (* b b) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4))))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal 0 binary64)))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))
(fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(+ (* a (+ (* 2 a) 4)) 12)
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(+ (* 2 a) 4)
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
12
#s(literal 12 binary64)
(* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* a a) 0)
(fma.f64 a a #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* a a) (+ (* 4 (- 0 a)) 4))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+ (* 4 (- 0 a)) 4)
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(- 0 a)
(-.f64 #s(literal 0 binary64) a)
1
#s(literal 1 binary64)
(- (* b (* b (* b b))) 1)
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal -1 binary64))
(* b (* b (* b b)))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
b
(* b (* b b))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
1
#s(literal 1 binary64)
(- (* b (* b (+ (* b b) 12))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(* b (* b (+ (* b b) 12)))
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 12 binary64)) #s(literal 0 binary64))
b
(* b (+ (* b b) 12))
(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
(+ (* b b) 12)
(fma.f64 b b #s(literal 12 binary64))
12
#s(literal 12 binary64)
1
#s(literal 1 binary64)
(- (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4))) 1)
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* a a) 0)
(fma.f64 a a #s(literal 0 binary64))
a
0
#s(literal 0 binary64)
(+ (* a a) (+ (* 4 (- 0 a)) 4))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+ (* 4 (- 0 a)) 4)
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(- 0 a)
(-.f64 #s(literal 0 binary64) a)
1
#s(literal 1 binary64)
(- (+ (* (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))))
(+ (* (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))))
(+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (fma.f64 a (fma.f64 a (-.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)) #s(literal 0 binary64)))
a
(* a (- 1 a))
(fma.f64 a (-.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(- 1 a)
(-.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(* b (* b (+ a 3)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) #s(literal 0 binary64))
b
(* b (+ a 3))
(*.f64 b (+.f64 a #s(literal 3 binary64)))
(+ a 3)
(+.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
4
#s(literal 4 binary64)
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* a a) (* b b))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
(* b b)
(fma.f64 b b #s(literal 0 binary64))

localize190.0ms (1.4%)

Memory

-4.1MiB live, 190.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))
✓	accuracy	99.8%	(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
✓	accuracy	89.3%	(fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
✓	accuracy	85.0%	(fma.f64 (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))))
✓	accuracy	100.0%	(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) a)
✓	accuracy	100.0%	(fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))
✓	accuracy	99.9%	(*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64))))
✓	accuracy	100.0%	(fma.f64 b b #s(literal 12 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64))))
✓	accuracy	99.8%	(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
✓	accuracy	100.0%	(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.8%	(.f64 b (.f64 b b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))
✓	accuracy	99.9%	(*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64))))
✓	accuracy	95.5%	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))))

Samples

83.0ms	219×	0	valid
21.0ms	12×	3	valid
7.0ms	15×	1	valid
6.0ms	10×	2	valid

Compiler

Compiled 364 to 46 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 55.0ms (59.1% of total)

adjust: 15.0ms (16.1% of total)

ival-add: 14.0ms (15.1% of total)

ival-sub: 8.0ms (8.6% of total)

exact: 1.0ms (1.1% of total)

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

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

series14.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

22 → 348

Calls

Call 1

Inputs
#<alt (- (+ (* (* b b) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))) 1)>
#<alt (+ (* a a) (+ (* 4 (- 0 a)) 4))>
#<alt (+ (* 4 (- 0 a)) 4)>
#<alt (+ (* (* b b) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4))))>
#<alt (- (* b (* b (* b b))) 1)>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (* b b)>
#<alt (- (* b (* b (+ (* b b) 12))) 1)>
#<alt (* b (+ (* b b) 12))>
#<alt (+ (* b b) 12)>
#<alt (* b (* b (+ (* b b) 12)))>
#<alt (- (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4))) 1)>
#<alt (+ (* a a) 0)>
#<alt (- (+ (* (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)>
#<alt (+ (* (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))>
#<alt (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))>
#<alt (- 1 a)>
#<alt (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))>
#<alt (- 0 a)>
#<alt (* b (* b (+ a 3)))>
#<alt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))>

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

Calls

87 calls:

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

rewrite458.0ms (3.4%)

Memory

-17.8MiB live, 675.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 928×	`accelerator-lowering-fma.f32`
4 928×	`accelerator-lowering-fma.f64`
3 360×	`/-lowering-/.f32`
3 360×	`/-lowering-/.f64`
3 352×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	257
1	337	247
2	3597	247
0	8325	219

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 777

Calls

Call 1

Inputs
(- (+ (* (* b b) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))) 1)
(+ (* a a) (+ (* 4 (- 0 a)) 4))
(+ (* 4 (- 0 a)) 4)
(+ (* (* b b) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12))) (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4))))
(- (* b (* b (* b b))) 1)
(* b (* b (* b b)))
(* b (* b b))
(* b b)
(- (* b (* b (+ (* b b) 12))) 1)
(* b (+ (* b b) 12))
(+ (* b b) 12)
(* b (* b (+ (* b b) 12)))
(- (* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4))) 1)
(+ (* a a) 0)
(- (+ (* (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)
(+ (* (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
(+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))
(- 1 a)
(* (+ (* a a) 0) (+ (* a a) (+ (* 4 (- 0 a)) 4)))
(- 0 a)
(* b (* b (+ a 3)))
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

Outputs
(+.f64 (.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a) (-.f64 (.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a)) #s(literal -1 binary64))
(+.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a)))
(-.f64 (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a)) (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a)) (fma.f64 a (.f64 a (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a)) (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a)) (fma.f64 a (.f64 a (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a)) (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) a) a))) (fma.f64 a (.f64 a (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))))
(fma.f64 b (.f64 b (.f64 b b)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))))) (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.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 (fma.f64 (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))) (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))))))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) a) a) (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) a) a) (-.f64 (.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) a) a) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) a) a) (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) a) a)) (.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) a) a) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))))) (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.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))) (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))) (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(pow.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))) #s(literal 2 binary64))
(*.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))
(.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (fma.f64 a a #s(literal 0 binary64))) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))) (exp.f64 (log.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))))

simplify518.0ms (3.8%)

Memory

14.0MiB live, 844.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20 372×	`accelerator-lowering-fma.f32`
20 372×	`accelerator-lowering-fma.f64`
5 060×	`+-lowering-+.f64`
5 060×	`+-lowering-+.f32`
3 764×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	4254
1	872	4124
2	2681	3984
3	7731	3984
0	8038	3685

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval232.0ms (1.7%)

Memory: 18.2MiB live, 398.8MiB allocated
Compiler: Compiled 59 306 to 3 367 computations (94.3% saved)

prune164.0ms (1.2%)

Memory

-12.6MiB live, 391.5MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1 460	17	1 477
Fresh	5	2	7
Picked	5	0	5
Done	0	0	0
Total	1 470	19	1 489

Accuracy

100.0%

Counts

1 489 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.6%	(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
▶	99.9%	(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))
	72.2%	(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
	72.1%	(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
	56.3%	(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
▶	70.5%	(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
	56.6%	(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
▶	99.6%	(-.f64 (fma.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))
	94.1%	(-.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64))
	83.4%	(-.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 a (*.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
	78.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))))))) #s(literal 1 binary64))
	77.6%	(-.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 3 binary64) a))))) #s(literal 1 binary64))
	70.5%	(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
	70.3%	(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))
	8.8%	(-.f64 (.f64 (.f64 (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
	50.4%	(-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))))) #s(literal 1 binary64))
▶	41.9%	(.f64 b (.f64 b (*.f64 b b)))
	40.1%	(.f64 a (.f64 a (*.f64 a a)))
▶	31.9%	#s(literal -1 binary64)

Compiler

Compiled 748 to 408 computations (45.5% saved)

simplify492.0ms (3.6%)

Memory

24.7MiB live, 825.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a a (*.f64 b b))
✓	cost-diff	0	(.f64 (.f64 b b) #s(literal 3 binary64))
✓	cost-diff	192	(-.f64 (fma.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))
✓	cost-diff	384	(fma.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))))
✓	cost-diff	-64	(*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 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	(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	cost-diff	-64	(*.f64 b b)
✓	cost-diff	-64	(.f64 b (.f64 b b))
✓	cost-diff	-64	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	0	(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
✓	cost-diff	0	(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
✓	cost-diff	0	(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))
✓	cost-diff	384	(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64)))

Rules

20 324×	`accelerator-lowering-fma.f32`
20 324×	`accelerator-lowering-fma.f64`
3 550×	`+-lowering-+.f64`
3 550×	`+-lowering-+.f32`
3 234×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	241
1	120	239
2	404	229
3	1149	229
4	2035	229
5	3193	229
6	4809	229
7	6803	229
0	8194	197

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12))) b) (+ (* (+ (* a a) 0) (+ (* (- 1 a) 4) (+ (* a a) 0))) -1))
(* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12)))
b
(+ (* a (+ (* a 2) 4)) (+ (* b b) 12))
a
(+ (* a 2) 4)
2
4
(+ (* b b) 12)
12
(+ (* (+ (* a a) 0) (+ (* (- 1 a) 4) (+ (* a a) 0))) -1)
(+ (* a a) 0)
0
(+ (* (- 1 a) 4) (+ (* a a) 0))
(- 1 a)
1
-1
-1
(* b (* b (* b b)))
b
(* b (* b b))
(* b b)
(+ (* a (* a (+ (* a (+ a -4)) 4))) -1)
a
(* a (+ (* a (+ a -4)) 4))
(+ (* a (+ a -4)) 4)
(+ a -4)
-4
4
-1
(- (+ (* (* (* b b) 3) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)
(+ (* (* (* b b) 3) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
(* (* b b) 3)
(* b b)
b
3
4
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
(+ (* a a) (* b b))
a
1

Outputs
(+ (* (* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12))) b) (+ (* (+ (* a a) 0) (+ (* (- 1 a) 4) (+ (* a a) 0))) -1))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12)))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
b
(+ (* a (+ (* a 2) 4)) (+ (* b b) 12))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
a
(+ (* a 2) 4)
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
2
#s(literal 2 binary64)
4
#s(literal 4 binary64)
(+ (* b b) 12)
(fma.f64 b b #s(literal 12 binary64))
12
#s(literal 12 binary64)
(+ (* (+ (* a a) 0) (+ (* (- 1 a) 4) (+ (* a a) 0))) -1)
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(+ (* a a) 0)
(fma.f64 a a #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* (- 1 a) 4) (+ (* a a) 0))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(- 1 a)
(-.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(* b (* b (* b b)))
(fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
b
(* b (* b b))
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
(+ (* a (* a (+ (* a (+ a -4)) 4))) -1)
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
a
(* a (+ (* a (+ a -4)) 4))
(fma.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(+ (* 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)
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(- (+ (* (* (* b b) 3) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)
(fma.f64 b (*.f64 b #s(literal 12 binary64)) (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))
(+ (* (* (* b b) 3) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (* b b) 3)
(fma.f64 b (*.f64 b #s(literal 3 binary64)) #s(literal 0 binary64))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
3
#s(literal 3 binary64)
4
#s(literal 4 binary64)
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* a a) (* b b))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
a
1
#s(literal 1 binary64)

localize110.0ms (0.8%)

Memory

-42.0MiB live, 213.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))))
✓	accuracy	100.0%	(fma.f64 a a (*.f64 b b))
✓	accuracy	99.8%	(.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))
✓	accuracy	99.8%	(.f64 (.f64 b b) #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
✓	accuracy	100.0%	(+.f64 a #s(literal -4 binary64))
✓	accuracy	100.0%	(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	accuracy	99.9%	(*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.8%	(.f64 b (.f64 b b))
✓	accuracy	100.0%	(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))
✓	accuracy	99.9%	(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
✓	accuracy	95.8%	(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))

Samples

62.0ms	240×	0	valid
4.0ms	11×	1	valid
3.0ms	5×	2	valid

Compiler

Compiled 223 to 42 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 23.0ms (57.7% of total)

ival-add: 13.0ms (32.6% of total)

ival-sub: 2.0ms (5% of total)

adjust: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series14.0ms (0.1%)

Memory

-2.8MiB live, 38.2MiB allocated

Counts

17 → 288

Calls

Call 1

Inputs
#<alt (+ (* (- 1 a) 4) (+ (* a a) 0))>
#<alt (+ (* (* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12))) b) (+ (* (+ (* a a) 0) (+ (* (- 1 a) 4) (+ (* a a) 0))) -1))>
#<alt (* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12)))>
#<alt (+ (* a (+ (* a 2) 4)) (+ (* b b) 12))>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (* b b)>
#<alt (+ (* a (* a (+ (* a (+ a -4)) 4))) -1)>
#<alt (+ (* a (+ a -4)) 4)>
#<alt (+ a -4)>
#<alt (* a (+ (* a (+ a -4)) 4))>
#<alt (+ (* (* (* b b) 3) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))>
#<alt (- (+ (* (* (* b b) 3) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)>
#<alt (* (* b b) 3)>
#<alt (+ (* a a) (* b b))>
#<alt (+ (* (+ (* a a) 0) (+ (* (- 1 a) 4) (+ (* a a) 0))) -1)>
#<alt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))>

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
2.0ms	a	@	-inf	(+ a -4)
0.0ms	b	@	0	(* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12)))
0.0ms	b	@	0	(+ (* (* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12))) b) (+ (* (+ (* a a) 0) (+ (* (- 1 a) 4) (+ (* a a) 0))) -1))
0.0ms	a	@	-inf	(* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12)))

rewrite491.0ms (3.6%)

Memory

41.0MiB live, 869.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 242×	`-lowering-.f32`
5 242×	`-lowering-.f64`
4 634×	`accelerator-lowering-fma.f32`
4 634×	`accelerator-lowering-fma.f64`
3 728×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	181
1	283	179
2	2828	179
0	8868	154

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 712

Calls

Call 1

Inputs
(+ (* (- 1 a) 4) (+ (* a a) 0))
(+ (* (* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12))) b) (+ (* (+ (* a a) 0) (+ (* (- 1 a) 4) (+ (* a a) 0))) -1))
(* b (+ (* a (+ (* a 2) 4)) (+ (* b b) 12)))
(+ (* a (+ (* a 2) 4)) (+ (* b b) 12))
(* b (* b (* b b)))
(* b (* b b))
(* b b)
(+ (* a (* a (+ (* a (+ a -4)) 4))) -1)
(+ (* a (+ a -4)) 4)
(+ a -4)
(* a (+ (* a (+ a -4)) 4))
(+ (* (* (* b b) 3) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
(- (+ (* (* (* b b) 3) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) 1)
(* (* b b) 3)
(+ (* a a) (* b b))
(+ (* (+ (* a a) 0) (+ (* (- 1 a) 4) (+ (* a a) 0))) -1)
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

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

simplify461.0ms (3.4%)

Memory

-0.6MiB live, 788.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 574×	`accelerator-lowering-fma.f32`
17 574×	`accelerator-lowering-fma.f64`
4 584×	`+-lowering-+.f64`
4 584×	`+-lowering-+.f32`
3 804×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	3578
1	865	3506
2	2577	3435
3	6957	3252
0	8287	2946

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(fma.f64 (.f64 #s(literal -4 binary64) a) #s(literal 1 binary64) (.f64 a a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(fma.f64 (.f64 #s(literal -4 binary64) a) #s(literal 1 binary64) (.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 b (.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 a (.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 a (.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (.f64 b b)))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (.f64 b b)))) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (.f64 b b)))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (.f64 b b)))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
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eval178.0ms (1.3%)

Memory: 12.5MiB live, 207.9MiB allocated
Compiler: Compiled 58 803 to 3 381 computations (94.3% saved)

prune133.0ms (1%)

Memory

-13.5MiB live, 227.3MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 113	9	1 122
Fresh	7	7	14
Picked	2	3	5
Done	0	0	0
Total	1 122	19	1 141

Accuracy

100.0%

Counts

1 141 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
	72.6%	(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
	88.9%	(fma.f64 (.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)))
	88.0%	(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
	50.4%	(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (.f64 b b)))) #s(literal -1 binary64))
	72.2%	(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
▶	82.5%	(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
	70.5%	(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
▶	70.3%	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
	56.3%	(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
	8.8%	(fma.f64 a (*.f64 a (fma.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))
✓	70.5%	(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
▶	56.6%	(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
	78.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))))))) #s(literal 1 binary64))
▶	77.6%	(-.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 3 binary64) a))))) #s(literal 1 binary64))
	41.9%	(.f64 (.f64 b b) (*.f64 b b))
✓	41.9%	(.f64 b (.f64 b (*.f64 b b)))
	40.1%	(.f64 a (.f64 a (*.f64 a a)))
✓	31.9%	#s(literal -1 binary64)

Compiler

Compiled 661 to 351 computations (46.9% saved)

simplify528.0ms (3.9%)

Memory

-10.8MiB live, 592.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))
✓	cost-diff	192	(+.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 3 binary64) a)))))
✓	cost-diff	192	(-.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 3 binary64) a))))) #s(literal 1 binary64))
✓	cost-diff	1024	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
✓	cost-diff	-64	(*.f64 b b)
✓	cost-diff	0	(fma.f64 b b #s(literal 12 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 12 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
✓	cost-diff	-64	(*.f64 a a)
✓	cost-diff	0	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
✓	cost-diff	-64	(*.f64 a #s(literal 4 binary64))
✓	cost-diff	0	(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 b #s(literal 12 binary64))
✓	cost-diff	0	(fma.f64 a a #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
✓	cost-diff	64	(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))

Rules

21 688×	`accelerator-lowering-fma.f32`
21 688×	`accelerator-lowering-fma.f64`
3 630×	`+-lowering-+.f64`
3 630×	`+-lowering-+.f32`
3 040×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	287
1	123	279
2	403	277
3	1076	277
4	2012	277
5	3285	277
6	6178	277
0	8035	249

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ (* b b) (+ (* a a) 0)) (+ (* b b) (+ (* a a) 0))) (+ (* b (* b 12)) -1))
(+ (* b b) (+ (* a a) 0))
b
(+ (* a a) 0)
a
0
(+ (* b (* b 12)) -1)
(* b 12)
12
-1
(+ (* a (* a 4)) -1)
a
(* a 4)
4
-1
(+ (* (* a a) (* a a)) -1)
(* a a)
a
-1
(+ (* (* b b) (+ (* 2 (* a a)) (+ (* b b) 12))) -1)
(* b b)
b
(+ (* 2 (* a a)) (+ (* b b) 12))
2
(* a a)
a
(+ (* b b) 12)
12
-1
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 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) (+ 3 a))))
4
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(* (* a a) (- 1 a))
(* a a)
(- 1 a)
(* (* b b) (+ 3 a))
(+ 3 a)
3

Outputs
(+ (* (+ (* b b) (+ (* a a) 0)) (+ (* b b) (+ (* a a) 0))) (+ (* b (* b 12)) -1))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))
(+ (* b b) (+ (* a a) 0))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
b
(+ (* a a) 0)
(fma.f64 a a #s(literal 0 binary64))
a
0
#s(literal 0 binary64)
(+ (* b (* b 12)) -1)
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 12 binary64) #s(literal -1 binary64))
(* b 12)
(*.f64 b #s(literal 12 binary64))
12
#s(literal 12 binary64)
-1
#s(literal -1 binary64)
(+ (* a (* a 4)) -1)
(fma.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
a
(* a 4)
(fma.f64 a #s(literal 4 binary64) #s(literal 0 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* (* a a) (* a a)) -1)
(fma.f64 a (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
-1
#s(literal -1 binary64)
(+ (* (* b b) (+ (* 2 (* a a)) (+ (* b b) 12))) -1)
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 2 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(+ (* 2 (* a a)) (+ (* b b) 12))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 2 binary64) (fma.f64 b b #s(literal 12 binary64)))
2
#s(literal 2 binary64)
(* a a)
(fma.f64 a a #s(literal 0 binary64))
a
(+ (* b b) 12)
(fma.f64 b b #s(literal 12 binary64))
12
#s(literal 12 binary64)
-1
#s(literal -1 binary64)
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* a a) (* b b))
(fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))
a
(* b b)
(fma.f64 b b #s(literal 0 binary64))
b
(/ 1 (+ (* a a) (* b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal 0 binary64)))
4
#s(literal 4 binary64)
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)))
(* (* a a) (- 1 a))
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(* a a)
(fma.f64 a a #s(literal 0 binary64))
(- 1 a)
(-.f64 #s(literal 1 binary64) a)
(* (* b b) (+ 3 a))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) #s(literal 0 binary64))
(+ 3 a)
(+.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize108.0ms (0.8%)

Memory

-3.6MiB live, 196.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
✓	accuracy	94.7%	(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))
✓	accuracy	89.0%	(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))
✓	accuracy	85.1%	(+.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 3 binary64) a)))))
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 12 binary64)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	91.4%	(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 a #s(literal 4 binary64))
✓	accuracy	100.0%	(fma.f64 a a #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal 12 binary64))
✓	accuracy	99.9%	(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
✓	accuracy	99.9%	(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))

Samples

59.0ms

256×

valid

Compiler

Compiled 271 to 41 computations (84.9% saved)

Precisions

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

ival-mult: 20.0ms (51.2% of total)

ival-add: 13.0ms (33.3% of total)

ival-div: 3.0ms (7.7% of total)

ival-sub: 2.0ms (5.1% of total)

exact: 1.0ms (2.6% of total)

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

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

series12.0ms (0.1%)

Memory

26.7MiB live, 26.7MiB allocated

Counts

19 → 348

Calls

Call 1

Inputs
#<alt (+ (* (+ (* b b) (+ (* a a) 0)) (+ (* b b) (+ (* a a) 0))) (+ (* b (* b 12)) -1))>
#<alt (+ (* b b) (+ (* a a) 0))>
#<alt (+ (* a a) 0)>
#<alt (* b 12)>
#<alt (+ (* a (* a 4)) -1)>
#<alt (* a 4)>
#<alt (+ (* (* a a) (* a a)) -1)>
#<alt (* a a)>
#<alt (+ (* (* b b) (+ (* 2 (* a a)) (+ (* b b) 12))) -1)>
#<alt (+ (* 2 (* a a)) (+ (* b b) 12))>
#<alt (+ (* b b) 12)>
#<alt (* b b)>
#<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) (+ 3 a))))) 1)>
#<alt (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))>
#<alt (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))>
#<alt (+ (* b (* b 12)) -1)>
#<alt (* (* b b) (+ 3 a))>
#<alt (/ 1 (+ (* a a) (* b b)))>

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

87 calls:

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

rewrite376.0ms (2.7%)

Memory

-1.1MiB live, 511.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 510×	`accelerator-lowering-fma.f32`
4 510×	`accelerator-lowering-fma.f64`
3 892×	`/-lowering-/.f32`
3 892×	`/-lowering-/.f64`
3 316×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	213
1	308	187
2	3348	187
0	8498	167

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 829

Calls

Call 1

Inputs
(+ (* (+ (* b b) (+ (* a a) 0)) (+ (* b b) (+ (* a a) 0))) (+ (* b (* b 12)) -1))
(+ (* b b) (+ (* a a) 0))
(+ (* a a) 0)
(* b 12)
(+ (* a (* a 4)) -1)
(* a 4)
(+ (* (* a a) (* a a)) -1)
(* a a)
(+ (* (* b b) (+ (* 2 (* a a)) (+ (* b b) 12))) -1)
(+ (* 2 (* a a)) (+ (* b b) 12))
(+ (* b b) 12)
(* b b)
(/ (+ (* 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) (+ 3 a))))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(+ (* b (* b 12)) -1)
(* (* b b) (+ 3 a))
(/ 1 (+ (* a a) (* b b)))

Outputs
(+.f64 (.f64 b (.f64 b #s(literal 12 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))))
(+.f64 #s(literal -1 binary64) (fma.f64 b (.f64 b #s(literal 12 binary64)) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))))
(+.f64 (fma.f64 b (.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))))
(+.f64 (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 b (.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
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(.f64 (+.f64 a #s(literal 3 binary64)) (.f64 b b))
(.f64 (.f64 b (+.f64 a #s(literal 3 binary64))) b)
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))))
(pow.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 (+.f64 a b) (-.f64 a b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.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)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (+.f64 b a) (-.f64 b a)))) (.f64 (+.f64 b a) (-.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (.f64 (+.f64 b a) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)))

simplify433.0ms (3.2%)

Memory

0.7MiB live, 527.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 914×	`accelerator-lowering-fma.f32`
16 914×	`accelerator-lowering-fma.f64`
4 416×	`-lowering-.f32`
4 416×	`-lowering-.f64`
4 356×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	4515
1	947	4397
2	2805	4286
0	8032	4003

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

Outputs
(- (pow a 4) 1)
(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 12 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 a (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 a (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 a (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 12 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))) (+ (* 12 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 12 binary64) (.f64 b b)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 12 binary64) (.f64 b b)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (*.f64 b b)))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 12 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))) (+ (* 12 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 12 binary64) (.f64 b b)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 12 binary64) (.f64 b b)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (*.f64 b b)))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 a (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 a (.f64 a (.f64 a a)) (fma.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 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 (.f64 a (.f64 a a))) (fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 12 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 12 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b b)) (/.f64 b (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 12 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 12 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b b)) (/.f64 b (.f64 a (.f64 a (.f64 a a)))) (/.f64 #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 (.f64 a (.f64 a a))) (fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 12 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 12 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b b)) (/.f64 b (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 12 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 #s(literal 12 binary64) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b b)) (/.f64 b (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 a a (*.f64 b b))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 a a (*.f64 b b))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 a a (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 a a (*.f64 b b))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 a a (*.f64 b b))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 a a (*.f64 b b))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 a (.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 a (.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 a (.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 a (.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 a (.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 a (.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow a 2)) 1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow a 2)) 1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow a 2))
(.f64 #s(literal 4 binary64) (.f64 a a))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(* 4 (pow a 2))
(.f64 #s(literal 4 binary64) (.f64 a a))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (pow a 4) 1)
(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
(- (pow a 4) 1)
(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
(- (pow a 4) 1)
(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 (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #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 (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
-1
#s(literal -1 binary64)
(- (* (pow b 2) (+ 12 (* 2 (pow a 2)))) 1)
(fma.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(fma.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(fma.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 12 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))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (.f64 b b)) (-.f64 (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (.f64 b b)) (-.f64 (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 12 (/ 1 (pow b 2))))))
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(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (.f64 b b) (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 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 (-.f64 #s(literal 0 binary64) 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 (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (-.f64 #s(literal 0 binary64) 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 (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (-.f64 #s(literal 0 binary64) 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))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) 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 (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (-.f64 #s(literal 0 binary64) 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 (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (-.f64 #s(literal 0 binary64) 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))

eval213.0ms (1.6%)

Memory: 10.6MiB live, 193.2MiB allocated
Compiler: Compiled 66 055 to 3 526 computations (94.7% saved)

prune227.0ms (1.7%)

Memory

-49.0MiB live, 172.6MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1 602	7	1 609
Fresh	2	9	11
Picked	4	1	5
Done	0	3	3
Total	1 608	20	1 628

Accuracy

100.0%

Counts

1 628 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
	72.6%	(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
	8.6%	(fma.f64 (.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 a a) #s(literal -1 binary64))
	88.9%	(fma.f64 (.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)))
	88.0%	(fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
	50.4%	(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (.f64 b b)))) #s(literal -1 binary64))
	72.2%	(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
	82.0%	(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64))
	70.5%	(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	70.3%	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
	56.3%	(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
✓	70.5%	(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
	78.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))))))) #s(literal 1 binary64))
	77.6%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (pow.f64 (pow.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1/2 binary64)) #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 3 binary64) a))))) #s(literal 1 binary64))
	99.6%	(-.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 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64))
	41.9%	(.f64 (.f64 b b) (*.f64 b b))
✓	41.9%	(.f64 b (.f64 b (*.f64 b b)))
	40.1%	(.f64 a (.f64 a (*.f64 a a)))
	26.4%	(.f64 #s(literal 4 binary64) (.f64 a a))
✓	31.9%	#s(literal -1 binary64)

Compiler

Compiled 1 298 to 369 computations (71.6% saved)

regimes62.0ms (0.5%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 a (*.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (fma.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64))
(-.f64 (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))
(-.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 (fma.f64 (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.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 #s(literal 4 binary64) (.f64 b (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 a a) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 (fma.f64 (.f64 a (fma.f64 a a #s(literal 0 binary64))) (.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 0 binary64))))) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))))))) #s(literal 1 binary64))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (.f64 b b)))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (fma.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))))) #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 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (pow.f64 (pow.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1/2 binary64)) #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 3 binary64) a))))) #s(literal 1 binary64))

Outputs

(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))

Calls

5 calls:

13.0ms	b
13.0ms	a
12.0ms	(+.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 3 binary64) a)))))
11.0ms	(*.f64 b b)
10.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	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 3 binary64) a))))) #s(literal 1 binary64))`
99.9%	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 3 binary64) a)))))`
99.9%	1	`(*.f64 b b)`

Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes28.0ms (0.2%)

Memory

-25.7MiB live, 13.8MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 a (*.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (fma.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64))
(-.f64 (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))

Outputs
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))

Calls

3 calls:

10.0ms	a
9.0ms	b
8.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes24.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)))

Outputs
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes22.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))

Outputs

(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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))

Calls

3 calls:

7.0ms	a
7.0ms	b
6.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
97.7%	2	`b`
97.7%	2	`(*.f64 b b)`
96.6%	3	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes14.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 4 binary64)))) #s(literal 1 binary64))

Outputs

(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 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64))

Calls

2 calls:

7.0ms	b
6.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes32.0ms (0.2%)

Memory

-31.4MiB live, 8.2MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))

Outputs

(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 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))

Calls

2 calls:

25.0ms	b
6.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes13.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64))

Outputs

(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 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64))

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal 1 binary64))

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

Calls

2 calls:

6.0ms	b
5.0ms	(*.f64 b 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

6.2MiB live, 6.2MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 a a))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 a a)) #s(literal 1 binary64))

Outputs
(-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 b (.f64 b (*.f64 b b)))

Calls

2 calls:

5.0ms	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)

regimes9.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.0%	2	`b`
95.0%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.0%	3	`a`
85.1%	2	`b`
85.1%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
86.0%	3	`a`
78.1%	3	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory

-35.6MiB live, 4.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
74.1%	2	`b`
74.5%	3	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
56.6%	1	`a`
56.6%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
44.3%	2	`b`
56.6%	3	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
31.9%	1	`b`
31.9%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.189350152995291e-10	1.335190469772611e-8

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.189350152995291e-10	1.335190469772611e-8

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.189350152995291e-10	1.335190469772611e-8

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9767140920652175000.0	2.816052027144098e+27

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4996484017435876e+62	7.703174136367461e+69

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4996484017435876e+62	7.703174136367461e+69

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4996484017435876e+62	7.703174136367461e+69

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9767140920652175000.0	2.816052027144098e+27

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch39.0ms (0.3%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.407482772556453e+27	2.022839742696318e+34
18.0ms	-456137875.51055485	-4.073846267129607e-6

Samples

24.0ms

304×

valid

Compiler

Compiled 395 to 269 computations (31.9% saved)

Precisions

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

ival-mult: 8.0ms (45.2% 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)

bsearch37.0ms (0.3%)

Memory

-30.1MiB live, 10.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	7.01811658684103e+138	2.8564248892623813e+140

Samples

31.0ms

112×

valid

Compiler

Compiled 160 to 120 computations (25% saved)

Precisions

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

ival-mult: 25.0ms (86.5% of total)

ival-add: 2.0ms (6.9% of total)

ival-sub: 1.0ms (3.5% of total)

ival-pow2: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch39.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.921416746330591e-7	14506289317257.62
16.0ms	-1.1732520743132674e-7	-6.384471067249723e-13

Samples

24.0ms

304×

valid

Compiler

Compiled 262 to 212 computations (19.1% saved)

Precisions

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

ival-mult: 8.0ms (45.6% of total)

ival-add: 4.0ms (22.8% of total)

ival-sub: 2.0ms (11.4% of total)

ival-pow2: 2.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	337
1	104	337
2	110	337
3	117	337
4	118	337

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 4835703278458517/4835703278458516698824704 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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 4835703278458517/4835703278458516698824704 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 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 4835703278458517/4835703278458516698824704 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 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000000 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 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000000 binary64)) (fma.f64 a (.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -380000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 8499999999999999975505264640 binary64)) (fma.f64 b (.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 b #s(literal 109999999999999991713564435588067087554095837709678569595070183531400223635188364570535902465445790541828657611400340657009517519342814625792 binary64)) (fma.f64 a (.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(if (<=.f64 a #s(literal -4382356096103031/37778931862957161709568 binary64)) (.f64 #s(literal 4 binary64) (.f64 a a)) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 a a))))
#s(literal -1 binary64)

Outputs
(fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a a #s(literal 0 binary64))) #s(literal -1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 4835703278458517/4835703278458516698824704 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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 4835703278458517/4835703278458516698824704 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 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 12 binary64)))) b #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 4835703278458517/4835703278458516698824704 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 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000000 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 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (-.f64 (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64)))) #s(literal 1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (fma.f64 a a #s(literal 0 binary64))))) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000000 binary64)) (fma.f64 a (.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -380000 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 8499999999999999975505264640 binary64)) (fma.f64 b (.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 b #s(literal 109999999999999991713564435588067087554095837709678569595070183531400223635188364570535902465445790541828657611400340657009517519342814625792 binary64)) (fma.f64 a (.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(if (<=.f64 a #s(literal -4382356096103031/37778931862957161709568 binary64)) (.f64 #s(literal 4 binary64) (.f64 a a)) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 a a))))
#s(literal -1 binary64)

soundness1.8s (13.2%)

Memory

-1.9MiB live, 526.3MiB allocated

Rules

20 372×	`accelerator-lowering-fma.f32`
20 372×	`accelerator-lowering-fma.f64`
17 574×	`accelerator-lowering-fma.f32`
17 574×	`accelerator-lowering-fma.f64`
16 914×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	3578
1	865	3506
2	2577	3435
3	6957	3252
0	8287	2946
0	39	213
1	308	187
2	3348	187
0	8498	167
0	44	257
1	337	247
2	3597	247
0	8325	219
0	40	181
1	283	179
2	2828	179
0	8868	154
0	181	1612
1	564	1579
2	1716	1539
3	5116	1478
4	7248	1478
0	8277	1357
0	315	4515
1	947	4397
2	2805	4286
0	8032	4003
0	278	4254
1	872	4124
2	2681	3984
3	7731	3984
0	8038	3685
0	17	65
1	112	65
2	1049	65
0	8469	56

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
1×	iter limit
1×	node limit

Compiler

Compiled 907 to 415 computations (54.2% saved)

preprocess81.0ms (0.6%)

Memory: -8.2MiB live, 149.0MiB allocated
Remove: (abs b)
Compiler: Compiled 822 to 226 computations (72.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.3s (9.7%)

preprocess1.5s (11.1%)

explain368.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify601.0ms (4.4%)

localize50.0ms (0.4%)

series11.0ms (0.1%)

rewrite528.0ms (3.9%)

simplify443.0ms (3.2%)

eval204.0ms (1.5%)

prune71.0ms (0.5%)

simplify900.0ms (6.6%)

localize190.0ms (1.4%)

series14.0ms (0.1%)

rewrite458.0ms (3.4%)

simplify518.0ms (3.8%)

eval232.0ms (1.7%)

prune164.0ms (1.2%)

simplify492.0ms (3.6%)

localize110.0ms (0.8%)

series14.0ms (0.1%)

rewrite491.0ms (3.6%)

simplify461.0ms (3.4%)

eval178.0ms (1.3%)

prune133.0ms (1%)

simplify528.0ms (3.9%)

localize108.0ms (0.8%)

series12.0ms (0.1%)

rewrite376.0ms (2.7%)

simplify433.0ms (3.2%)

eval213.0ms (1.6%)

prune227.0ms (1.7%)

regimes62.0ms (0.5%)

regimes28.0ms (0.2%)

regimes24.0ms (0.2%)

regimes22.0ms (0.2%)

regimes14.0ms (0.1%)

regimes32.0ms (0.2%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes18.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch39.0ms (0.3%)

bsearch37.0ms (0.3%)

bsearch39.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.8s (13.2%)

preprocess81.0ms (0.6%)

end0.0ms (0%)

Profiling