Metrics for Bouland and Aaronson, Equation (24)

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.1s (10%)

Memory

-1.6MiB live, 1 983.7MiB allocated

Samples

817.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 641.0ms

ival-mult: 321.0ms (50.1% of total)

ival-add: 146.0ms (22.8% of total)

ival-pow2: 79.0ms (12.3% of total)

ival-sub: 75.0ms (11.7% of total)

exact: 11.0ms (1.7% of total)

ival-true: 6.0ms (0.9% of total)

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

Bogosity

preprocess714.0ms (6.3%)

Memory

7.8MiB live, 728.9MiB allocated

Algorithm

1×	egg-herbie

Rules

26 512×	`lower-fma.f64`
26 512×	`lower-fma.f32`
4 188×	`lower-+.f32`
4 180×	`lower-+.f64`
3 330×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	149
1	154	147
2	653	145
3	2940	145
4	6883	145
0	18	29
0	30	29
1	63	29
2	178	29
3	552	29
4	1558	29
5	2836	29
6	6703	29
0	8091	26

Stop Event

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

Calls

Call 1

Inputs

(-.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))

Outputs

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

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

Symmetry

(abs b)

explain357.0ms (3.2%)

Memory

-19.1MiB live, 307.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
40	-	0	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
39	-	0	-	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`
21	-	2	(-2.7691549625436123e+143 3.0378846771333393e-161)	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`
0	-	0	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) a)`
0	-	0	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))`
0	-	0	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(+.f64 #s(literal 3 binary64) a)`
0	-	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	40	0
↳	`(*.f64 b b)`	overflow	69
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	156
↳	`(*.f64 a a)`	overflow	63
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	114
↳	`(*.f64 b b)`	overflow	69
↳	`(.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	129
↳	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	overflow	129
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	85
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	83
↳	`(*.f64 a a)`	overflow	63
`+.f64`	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	nan-rescue	39	0
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	83
↳	`(*.f64 a a)`	overflow	63
↳	`(*.f64 b b)`	overflow	69
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	85

Confusion

	Predicted +	Predicted -
+	60	0
-	0	196

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	0
-	0	0	196

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	196
1	41
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms

512×

valid

Compiler

Compiled 338 to 76 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 14.0ms (42.7% of total)

ival-add: 8.0ms (24.4% of total)

ival-pow2: 5.0ms (15.3% of total)

ival-sub: 4.0ms (12.2% of total)

exact: 1.0ms (3.1% 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

76.4%

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

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify606.0ms (5.4%)

Memory

7.6MiB live, 481.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	128	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
✓	cost-diff	320	(+.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	5440	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Rules

26 512×	`lower-fma.f64`
26 512×	`lower-fma.f32`
4 188×	`lower-+.f32`
4 180×	`lower-+.f64`
3 330×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	136
0	30	136
1	63	136
2	178	136
3	552	136
4	1558	136
5	2836	136
6	6703	136
0	8091	126

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.4%)

Memory

7.7MiB live, 46.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
✓	accuracy	93.1%	(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))
✓	accuracy	87.5%	(+.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)))))
✓	accuracy	86.3%	(+.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: 16.0ms

ival-mult: 7.0ms (44% of total)

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

ival-sub: 2.0ms (12.6% of total)

ival-pow2: 2.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))>
#<alt (+.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)))))>
#<alt (-.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))>
#<alt (+.f64 (.f64 a a) (.f64 b b))>
#<alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))>
#<alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) 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 (- (+ (* 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 (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

36 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	@	inf	(pow (+ (* a a) (* b b)) 2)
0.0ms	a	@	0	(pow (+ (* a a) (* b b)) 2)
0.0ms	b	@	inf	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

simplify474.0ms (4.2%)

Memory

-36.6MiB live, 574.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 992×	`lower-fma.f64`
19 992×	`lower-fma.f32`
4 374×	`lower-+.f64`
4 374×	`lower-+.f32`
3 756×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	2222
1	599	2169
2	1845	2105
3	5761	2012
0	8475	1830

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

rewrite421.0ms (3.7%)

Memory

20.2MiB live, 574.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 458×	`lower-fma.f64`
5 458×	`lower-fma.f32`
4 122×	`lower-/.f64`
4 122×	`lower-/.f32`
3 974×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	94
0	30	94
1	140	94
2	1251	94
0	8299	81

Stop Event

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

Counts

6 → 546

Calls

Call 1

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

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

eval122.0ms (1.1%)

Memory: -0.3MiB live, 199.5MiB allocated
Compiler: Compiled 59 977 to 2 604 computations (95.7% saved)

prune89.0ms (0.8%)

Memory

18.2MiB live, 175.8MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	677	13	690
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	678	13	691

Accuracy

100.0%

Counts

691 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(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) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
	19.5%	(fma.f64 (.f64 (fma.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (fma.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)))
	19.5%	(fma.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (fma.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
▶	43.6%	(-.f64 (+.f64 (/.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 #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))
▶	82.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
▶	68.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1 binary64))
	68.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
	69.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
▶	81.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))))
	47.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
	46.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b))))
▶	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))

Compiler

Compiled 746 to 356 computations (52.3% saved)

simplify273.0ms (2.4%)

Memory

21.4MiB live, 440.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))
✓	cost-diff	128	(+.f64 (/.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 #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	128	(-.f64 (+.f64 (/.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 #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	2432	(/.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)))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
✓	cost-diff	0	(.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))
✓	cost-diff	0	(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 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))))
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 a a)))
✓	cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 a (.f64 a (*.f64 a a))))
✓	cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 a a)))
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	cost-diff	0	(*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
✓	cost-diff	0	(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))))
✓	cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))))))
✓	cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))

Rules

12 860×	`lower-fma.f32`
12 846×	`lower-fma.f64`
4 000×	`lower-+.f32`
3 992×	`lower-+.f64`
3 880×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	672
0	87	606
1	181	596
2	521	582
3	2087	580
4	6874	580
0	8148	562

Stop Event

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

Calls

Call 1

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

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

localize193.0ms (1.7%)

Memory

-9.6MiB live, 388.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.1%	(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))
✓	accuracy	87.5%	(+.f64 (/.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 #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	86.3%	(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))
✓	accuracy	51.7%	(/.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)))
✓	accuracy	99.6%	(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
✓	accuracy	98.1%	(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 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
✓	accuracy	92.2%	(.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))
✓	accuracy	83.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	52.7%	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 a (.f64 a (*.f64 a a))))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	accuracy	99.0%	(fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))))
✓	accuracy	95.5%	(.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
✓	accuracy	92.2%	(.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))
✓	accuracy	82.8%	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))))))

Samples

88.0ms	241×	0	valid
7.0ms	14×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 624 to 45 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-add: 30.0ms (42.7% of total)

ival-mult: 24.0ms (34.2% of total)

ival-pow2: 8.0ms (11.4% of total)

ival-sub: 5.0ms (7.1% of total)

adjust: 2.0ms (2.8% of total)

ival-div: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series23.0ms (0.2%)

Memory

10.1MiB live, 49.2MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1))
1.0ms	b	@	inf	(+ (* b (* b (+ (* b b) (+ (* 4 a) 12)))) (* a (* a (+ (* 2 (* b b)) 4))))
1.0ms	a	@	0	(* a (+ (* 2 (* b b)) 4))
1.0ms	a	@	inf	(+ (* b (* b (+ (* b b) (+ (* 4 a) 12)))) (* a (* a (+ (* 2 (* b b)) 4))))
0.0ms	b	@	0	(+ (* b (* b (+ (* b b) (+ (* 4 a) 12)))) (* a (* a (+ (* 2 (* b b)) 4))))

simplify523.0ms (4.6%)

Memory

-18.8MiB live, 833.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 206×	`lower-fma.f64`
19 206×	`lower-fma.f32`
5 848×	`lower-+.f64`
5 848×	`lower-+.f32`
4 702×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	8195
1	982	7926
2	3043	7636
3	7526	7632
0	8113	6945

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

rewrite501.0ms (4.4%)

Memory

6.5MiB live, 888.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 392×	`lower-*.f32`
6 366×	`lower-*.f64`
6 096×	`lower-fma.f32`
6 082×	`lower-fma.f64`
3 172×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	505
0	87	448
1	392	424
2	3706	424
0	9643	398

Stop Event

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

Counts

21 → 956

Calls

Call 1

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

Outputs
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))))) (+.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal 1 binary64)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal 1 binary64)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))))))
(-.f64 (/.f64 (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))))))
(fma.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal 1 binary64)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a))))) (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a))))) (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a))))) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal 1 binary64)) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a))))))
(/.f64 (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a))))) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 a a)))) #s(literal -1 binary64)))))
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(/.f64 (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal 1 binary64)) (.f64 b (.f64 (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))))) (.f64 b (.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal -1 binary64))))))
(/.f64 (fma.f64 b (.f64 (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal 1 binary64)) (.f64 b (.f64 (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 b (.f64 (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 b (.f64 (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))))) (-.f64 #s(literal -1 binary64) (.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal 1 binary64)) (.f64 b (.f64 (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal 1 binary64)) (fma.f64 b (.f64 (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 b (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal 1 binary64)) (.f64 b (.f64 (*.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal -1 binary64))))))
(.f64 (fma.f64 b (.f64 (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 a (.f64 b b)))
(+.f64 (.f64 a (.f64 b b)) (.f64 #s(literal 3 binary64) (.f64 b b)))
(fma.f64 a (.f64 b b) (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (.f64 a b) (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (.f64 b #s(literal 3 binary64)) (.f64 a (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (.f64 b b) (.f64 a (*.f64 b b)))
(fma.f64 (.f64 b b) a (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 (.f64 b b) #s(literal 3 binary64) (.f64 a (*.f64 b b)))
(fma.f64 (.f64 a b) b (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 (.f64 #s(literal 3 binary64) b) b (.f64 a (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 #s(literal 3 binary64) (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b))) (.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 a (*.f64 b b))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 #s(literal 3 binary64) (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 a (.f64 b b))))
(/.f64 (.f64 (.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 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 3 binary64) a))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (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 3 binary64) a))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))
(.f64 (+.f64 a #s(literal 3 binary64)) (.f64 b b))
(.f64 (.f64 b (+.f64 a #s(literal 3 binary64))) b)

eval298.0ms (2.6%)

Memory: -6.0MiB live, 502.3MiB allocated
Compiler: Compiled 103 215 to 3 968 computations (96.2% saved)

prune205.0ms (1.8%)

Memory

16.8MiB live, 414.2MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 567	9	1 576
Fresh	3	5	8
Picked	4	1	5
Done	0	0	0
Total	1 574	15	1 589

Accuracy

100.0%

Counts

1 589 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(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) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
	75.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (-.f64 a b)) (fma.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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))))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
▶	44.1%	(-.f64 (+.f64 (/.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 #s(literal 4 binary64) #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
	30.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (/.f64 (.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) b) (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (-.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
▶	83.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
▶	68.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
	69.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
▶	60.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b))))))
	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
	47.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))))
	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
	46.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))
▶	49.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))

Compiler

Compiled 663 to 325 computations (51% saved)

simplify301.0ms (2.7%)

Memory

-10.9MiB live, 477.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))
✓	cost-diff	128	(+.f64 (/.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 #s(literal 4 binary64) #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 b b) #s(literal 3 binary64)))))
✓	cost-diff	128	(-.f64 (+.f64 (/.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 #s(literal 4 binary64) #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
✓	cost-diff	2432	(/.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)))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
✓	cost-diff	0	(.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))
✓	cost-diff	0	(fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b)))))
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b))))))
✓	cost-diff	0	(fma.f64 b b #s(literal 12 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
✓	cost-diff	0	#s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))
✓	cost-diff	0	(fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))
✓	cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))))
✓	cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))

Rules

13 186×	`lower-fma.f32`
13 172×	`lower-fma.f64`
4 596×	`lower-+.f32`
4 592×	`lower-+.f64`
3 886×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	760
0	95	720
1	204	703
2	537	661
3	1998	655
4	6553	655
0	8399	623

Stop Event

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

Calls

Call 1

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

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

localize193.0ms (1.7%)

Memory

-13.5MiB live, 261.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 b b) #s(literal 3 binary64))
✓	accuracy	87.5%	(+.f64 (/.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 #s(literal 4 binary64) #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 b b) #s(literal 3 binary64)))))
✓	accuracy	51.7%	(/.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)))
✓	accuracy	46.6%	#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 b b) #s(literal 3 binary64)))
✓	accuracy	98.1%	(fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b)))))
✓	accuracy	92.2%	(.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))
✓	accuracy	83.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b))))))
✓	accuracy	45.8%	#s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b))))
✓	accuracy	100.0%	(fma.f64 b b #s(literal 12 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
✓	accuracy	68.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
✓	accuracy	83.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
✓	accuracy	64.6%	#s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))
✓	accuracy	95.5%	(.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))
✓	accuracy	92.2%	(.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))
✓	accuracy	82.8%	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))))
✓	accuracy	46.1%	#s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))

Samples

69.0ms	241×	0	valid
8.0ms	14×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 594 to 51 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 27.0ms (49.5% of total)

ival-add: 16.0ms (29.3% of total)

ival-sub: 4.0ms (7.3% of total)

adjust: 2.0ms (3.7% of total)

ival-div: 2.0ms (3.7% of total)

ival-pow2: 2.0ms (3.7% of total)

exact: 1.0ms (1.8% of total)

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

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

series18.0ms (0.2%)

Memory

25.7MiB live, 25.8MiB allocated

Counts

24 → 492

Calls

Call 1

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

Outputs
#<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)>
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#<alt (pow a 4)>
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#<alt (pow b 4)>
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#<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 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 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))>
#<alt (* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))>
#<alt (* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 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))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* 4 a)>
#<alt (+ (* 2 (* a (pow b 2))) (* 4 a))>
#<alt (+ (* 2 (* a (pow b 2))) (* 4 a))>
#<alt (+ (* 2 (* a (pow b 2))) (* 4 a))>
#<alt (* 2 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* 2 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt 4>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 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)))))>
#<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 (* -1 (pow b 6))>
#<alt (+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (pow b 5))))>
#<alt (+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (pow b 4))) (pow b 5)))))>
#<alt (+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (+ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4)))) (pow b 5)))))>
#<alt (pow a 6)>
#<alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a))))))>
#<alt (* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a))))))))>
#<alt (pow a 6)>
#<alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))>
#<alt (* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a))))>
#<alt (* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a))))>
#<alt (pow a 6)>
#<alt (+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6))>
#<alt (+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6))>
#<alt (+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6))>
#<alt (* -1 (pow b 6))>
#<alt (* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1))>
#<alt (* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))>
#<alt (* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 1))>
#<alt (* -1 (pow b 6))>
#<alt (* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1))>
#<alt (* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1))>
#<alt (* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) b)) 1))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* 4 (pow a 2))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2)))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2)))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))>
#<alt -1>
#<alt (- (* (pow b 2) (+ 12 (* 4 a))) 1)>
#<alt (- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)>
#<alt (- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 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 (- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (* 4 (* a (pow b 2)))>
#<alt (* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))>
#<alt (* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))>
#<alt (* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))>
#<alt (* 4 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))>
#<alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))>
#<alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))>
#<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 (* 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))>

Calls

123 calls:

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

simplify397.0ms (3.5%)

Memory

-14.8MiB live, 459.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 026×	`lower-fma.f64`
13 026×	`lower-fma.f32`
4 382×	`lower-*.f64`
4 382×	`lower-*.f32`
4 270×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	8855
1	1471	8487
2	4731	8103
0	8215	7398

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(- (+ (* 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)))))))
(* 4 (pow a 2))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))))
(* (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 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))) a)) (* 2 (pow b 2)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))) a)) (* 2 (pow b 2)))))
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* 4 (* a b))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(- (+ (* 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))))
(- (* (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 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 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))))
-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))))
(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)
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 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))))
(- (* (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 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* 4 a)
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 2 (* a (pow b 2))) (* 4 a))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
4
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 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)))))
(- (+ (* 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)))))))
(* -1 (pow b 6))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (pow b 5))))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (pow b 4))) (pow b 5)))))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (+ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4)))) (pow b 5)))))
(pow a 6)
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a))))))
(* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a))))))))
(pow a 6)
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a))))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a))))
(pow a 6)
(+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6))
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6))
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6))
(* -1 (pow b 6))
(* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 1))
(* -1 (pow b 6))
(* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1))
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) b)) 1))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* 4 (pow a 2))
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))
-1
(- (* (pow b 2) (+ 12 (* 4 a))) 1)
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 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)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* 4 (* a (pow b 2)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* 4 (* a (pow b 2)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* 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)))))
(* 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))

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

rewrite541.0ms (4.8%)

Memory

19.0MiB live, 659.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 598×	`lower-fma.f32`
8 584×	`lower-fma.f64`
8 354×	`lower-*.f32`
8 332×	`lower-*.f64`
4 020×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	644
0	95	610
1	438	545
2	4050	545
0	11641	505

Stop Event

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

Counts

24 → 556

Calls

Call 1

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

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

eval172.0ms (1.5%)

Memory: -11.9MiB live, 224.3MiB allocated
Compiler: Compiled 44 979 to 2 323 computations (94.8% saved)

prune115.0ms (1%)

Memory

-10.6MiB live, 191.0MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 255	8	1 263
Fresh	2	7	9
Picked	4	1	5
Done	0	1	1
Total	1 261	17	1 278

Accuracy

100.0%

Counts

1 278 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(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) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
	75.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (-.f64 a b)) (fma.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)))
▶	74.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b))))))) #s(literal 1 binary64))
	41.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
	68.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) (*.f64 b b)) #s(literal -1 binary64)))
	51.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
▶	69.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
	53.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b)))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b))))))
	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
	29.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (/.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 12 binary64))) (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal 1 binary64))))
	47.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))))
	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
▶	46.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))
▶	23.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
✓	49.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
	27.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (.f64 #s(literal 4 binary64) (.f64 a a)))))

Compiler

Compiled 507 to 273 computations (46.2% saved)

simplify443.0ms (3.9%)

Memory

-11.3MiB live, 486.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

24 384×	`lower-fma.f32`
24 368×	`lower-fma.f64`
5 008×	`lower-+.f32`
5 006×	`lower-+.f64`
3 218×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	523
0	89	491
1	201	487
2	486	484
3	1177	484
4	3562	484
5	6446	484
0	8044	460

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.2%)

Memory

13.8MiB live, 92.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.2%	(.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b))))
✓	accuracy	82.8%	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b)))))))
✓	accuracy	50.7%	#s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b)))
✓	accuracy	46.1%	#s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.9%	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	accuracy	99.6%	(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
✓	accuracy	70.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	46.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	accuracy	68.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
✓	accuracy	50.4%	#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))
✓	accuracy	99.9%	(*.f64 b (+.f64 a #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
✓	accuracy	88.4%	(fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
✓	accuracy	87.5%	(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) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))

Samples

68.0ms	231×	0	valid
10.0ms	18×	1	valid
5.0ms	7×	2	valid

Compiler

Compiled 399 to 53 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 35.0ms (55.5% of total)

ival-add: 18.0ms (28.6% of total)

adjust: 3.0ms (4.8% of total)

ival-sub: 3.0ms (4.8% of total)

ival-pow2: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series13.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

24 → 432

Calls

Call 1

Inputs
#<alt (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) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))>
#<alt (fma.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))>
#<alt (*.f64 a (-.f64 #s(literal 1 binary64) a))>
#<alt (-.f64 #s(literal 1 binary64) a)>
#<alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))>
#<alt #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))>
#<alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b))))>
#<alt (.f64 b (.f64 b (*.f64 b b)))>
#<alt (.f64 b (.f64 b b))>
#<alt (*.f64 b b)>
#<alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))>
#<alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))>
#<alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))>
#<alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))>
#<alt (.f64 #s(literal 2 binary64) (.f64 b b))>
#<alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b))))))) #s(literal 1 binary64))>
#<alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b)))))))>
#<alt (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b))))))>
#<alt (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))>
#<alt (*.f64 b (+.f64 a #s(literal 3 binary64)))>
#<alt (neg.f64 a)>
#<alt #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))>
#<alt #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b)))>
#<alt (.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b))))>

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

Calls

108 calls:

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

simplify602.0ms (5.3%)

Memory

-5.0MiB live, 230.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 912×	`lower-fma.f64`
21 912×	`lower-fma.f32`
6 366×	`lower-+.f64`
6 366×	`lower-+.f32`
4 752×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	6146
1	982	5971
2	2976	5723
0	8111	5263

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 431

Calls

Call 1

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

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

rewrite495.0ms (4.4%)

Memory

4.4MiB live, 198.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 884×	`lower-*.f32`
5 864×	`lower-*.f64`
5 660×	`lower-fma.f32`
5 644×	`lower-fma.f64`
3 102×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	454
0	90	428
1	439	424
2	3548	424
0	9103	395

Stop Event

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

Counts

24 → 561

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))))
(+.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)))
(+.f64 (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) #s(literal -1 binary64))
(+.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))))
(+.f64 (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 b b (.f64 a a))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64))))
(+.f64 (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))))
(+.f64 (+.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) (.f64 (.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64))))
(-.f64 (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))))) (-.f64 (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))) (-.f64 (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))))
(fma.f64 a (.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 a (.f64 a (fma.f64 b b (.f64 a a))) (fma.f64 b (.f64 b (fma.f64 b b (.f64 a a))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 a (.f64 (.f64 a (-.f64 #s(literal 1 binary64) a)) #s(literal 4 binary64)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) a) (.f64 (.f64 a a) #s(literal 4 binary64)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (.f64 a (-.f64 #s(literal 1 binary64) a)) (.f64 a #s(literal 4 binary64)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (-.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) (-.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64))))
(fma.f64 (fma.f64 b b (.f64 a a)) (.f64 a a) (fma.f64 b (.f64 b (fma.f64 b b (.f64 a a))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (fma.f64 b (.f64 b (fma.f64 b b (.f64 a a))) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 (.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) #s(literal 4 binary64) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (.f64 a a) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 #s(literal 1 binary64) a)) (fma.f64 (+.f64 a #s(literal 3 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) #s(literal 1 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))))) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal 64 binary64) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))))) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(literal 1 binary64))) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (.f64 #s(literal -4 binary64) (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (.f64 #s(literal -4 binary64) (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (fma.f64 b b #s(literal 1 binary64))) (+.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)))
(fma.f64 (+.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) (fma.f64 a a (fma.f64 b b #s(literal 1 binary64))) (.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) #s(literal 2 binary64)) (fma.f64 (fma.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))) (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal 4 binary64) #s(literal -1 binary64)))
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(fma.f64 #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) b (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))))
(fma.f64 #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))) (.f64 a a) (.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))))
(fma.f64 (.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) a (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))))) (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 a a) #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (.f64 b (.f64 b b)) (.f64 #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (fma.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 a a) #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (.f64 b (.f64 b b)) (.f64 #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))))) (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))))))
(/.f64 (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 a a) #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (.f64 b (.f64 b b)) (.f64 #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))))) (fma.f64 a (.f64 (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 b b) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))) (.f64 b (.f64 #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))))))))
(/.f64 (.f64 (fma.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))))) (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 a a) #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (.f64 b (.f64 b b)) (.f64 #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))))))) (neg.f64 (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))))) (neg.f64 (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (.f64 b b) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))))) (-.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))))) (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 a a) #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (.f64 b (.f64 b b)) (.f64 #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (fma.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 a a) #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 a a) #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (.f64 (.f64 b (.f64 b b)) (.f64 #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))))))))
(.f64 (.f64 (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))) (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(approx ( b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 a (.f64 b b)))
(+.f64 (.f64 a (.f64 b b)) (.f64 #s(literal 3 binary64) (.f64 b b)))
(fma.f64 a (.f64 b b) (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (.f64 a b) (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (.f64 b #s(literal 3 binary64)) (.f64 a (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (.f64 b b) (.f64 a (*.f64 b b)))
(fma.f64 (.f64 b b) a (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 (.f64 b b) #s(literal 3 binary64) (.f64 a (*.f64 b b)))
(fma.f64 (.f64 a b) b (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 (.f64 b #s(literal 3 binary64)) b (.f64 a (*.f64 b b)))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal 27 binary64)) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 #s(literal 3 binary64) (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b))) (.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 a (*.f64 b b))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 #s(literal 3 binary64) (.f64 b b))) (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 b b)))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 a (.f64 b b))))
(/.f64 (.f64 (.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a a) #s(literal 27 binary64))) (fma.f64 a a (-.f64 #s(literal 9 binary64) (.f64 a #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 (.f64 b b) (fma.f64 a a #s(literal -9 binary64))) (+.f64 a #s(literal -3 binary64)))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal 27 binary64)) (.f64 b b)) (fma.f64 a a (-.f64 #s(literal 9 binary64) (.f64 a #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 (fma.f64 a a #s(literal -9 binary64)) (.f64 b b)) (+.f64 a #s(literal -3 binary64)))
(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
(.f64 (+.f64 a #s(literal 3 binary64)) (.f64 b b))
(.f64 (.f64 b (+.f64 a #s(literal 3 binary64))) b)
(.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))
(+.f64 (.f64 a b) (.f64 b #s(literal 3 binary64)))
(+.f64 (.f64 b #s(literal 3 binary64)) (.f64 a b))
(fma.f64 a b (*.f64 b #s(literal 3 binary64)))
(fma.f64 b a (*.f64 b #s(literal 3 binary64)))
(fma.f64 b #s(literal 3 binary64) (*.f64 a b))
(fma.f64 #s(literal 3 binary64) b (*.f64 a b))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) #s(literal 27 binary64))) (fma.f64 a (.f64 a (.f64 b b)) (-.f64 (.f64 (.f64 b #s(literal 3 binary64)) (.f64 b #s(literal 3 binary64))) (.f64 (.f64 a b) (*.f64 b #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 (.f64 b #s(literal 3 binary64)) (.f64 b #s(literal 3 binary64)))) (-.f64 (.f64 a b) (.f64 b #s(literal 3 binary64))))
(/.f64 (.f64 b (fma.f64 a (.f64 a a) #s(literal 27 binary64))) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 b (fma.f64 a (.f64 a a) #s(literal 27 binary64))) (fma.f64 a a (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal 3 binary64)))))
(/.f64 (.f64 b (-.f64 #s(literal 9 binary64) (.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 b (fma.f64 a a #s(literal -9 binary64))) (+.f64 a #s(literal -3 binary64)))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal 27 binary64)) b) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal 27 binary64)) b) (fma.f64 a a (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 a a)) b) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (fma.f64 a a #s(literal -9 binary64)) b) (+.f64 a #s(literal -3 binary64)))
(*.f64 b (+.f64 a #s(literal 3 binary64)))
(*.f64 (+.f64 a #s(literal 3 binary64)) b)
(+.f64 #s(literal 0 binary64) (neg.f64 a))
(-.f64 #s(literal 0 binary64) a)
(neg.f64 a)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))
(*.f64 a #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) a)
#s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b)))
#s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))
(.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))))
(.f64 #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64))) a)

eval222.0ms (2%)

Memory: 8.3MiB live, 129.8MiB allocated
Compiler: Compiled 60 024 to 2 266 computations (96.2% saved)

prune109.0ms (1%)

Memory

-11.1MiB live, 191.2MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 078	7	1 085
Fresh	2	8	10
Picked	2	3	5
Done	0	2	2
Total	1 082	20	1 102

Accuracy

100.0%

Counts

1 102 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (-.f64 a b)) (fma.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)))
✓	74.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b))))))) #s(literal 1 binary64))
	41.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
	51.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
	68.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a #s(approx (+ ( 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
	45.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64)))
	70.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
	42.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
	53.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b)))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b))))))
	46.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
	29.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (/.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 12 binary64))) (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal 1 binary64))))
	46.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	46.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	23.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
	70.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
✓	49.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
	27.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (.f64 #s(literal 4 binary64) (.f64 a a)))))

Compiler

Compiled 1 054 to 299 computations (71.6% saved)

regimes52.0ms (0.5%)

Memory

16.1MiB live, 57.3MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (.f64 #s(literal 4 binary64) (.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a #s(approx (+ ( 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b)))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b))))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b))))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) (.f64 b b) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)))
(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) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (/.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 12 binary64))) (.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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))))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
(-.f64 (+.f64 (/.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 #s(literal 4 binary64) #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (-.f64 a b)) (fma.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)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 (+.f64 (/.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 #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))
(fma.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (fma.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 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b (/.f64 (.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) b) (fma.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (-.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 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))
(fma.f64 (.f64 (fma.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (fma.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)))

Outputs

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

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

Calls

5 calls:

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)))))
10.0ms	a
10.0ms	b
9.0ms	(*.f64 b b)
9.0ms	(-.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
99.1%	3	`a`
99.5%	2	`b`
99.1%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
99.1%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
99.5%	2	`(*.f64 b b)`

Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes13.0ms (0.1%)

Memory

-25.7MiB live, 14.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	2	`b`
99.5%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	2	`b`
99.5%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes27.0ms (0.2%)

Memory

-10.1MiB live, 29.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	b
5.0ms	a
5.0ms	(-.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))
5.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
5.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
97.0%	3	`a`
80.4%	3	`(-.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))`
80.4%	3	`(+.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)))))`
96.8%	2	`b`
96.8%	2	`(*.f64 b b)`

Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes13.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.5%	3	`a`
95.2%	2	`b`
95.2%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes11.0ms (0.1%)

Memory

-26.3MiB live, 13.5MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.3%	3	`a`
80.7%	2	`b`
80.7%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.1%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
59.2%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
59.2%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
69.3%	2	`b`
69.3%	2	`(*.f64 b b)`
69.1%	3	`a`

Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes9.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))

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

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

Outputs

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

Calls

5 calls:

2.0ms	b
2.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms	a
2.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
49.6%	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))`
49.6%	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)))))`
49.6%	1	`a`
49.6%	1	`b`
49.6%	1	`(*.f64 b b)`

Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes9.0ms (0.1%)

Memory

-29.5MiB live, 11.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))

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

Outputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))

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

Calls

5 calls:

2.0ms	a
1.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms	b
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
38.4%	2	`b`
49.4%	3	`a`
49.7%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
49.7%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
38.4%	2	`(*.f64 b b)`

Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
23.4%	1	`b`
23.4%	1	`(*.f64 b b)`
23.4%	1	`a`
23.4%	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))`
23.4%	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)))))`

Compiler

Compiled 71 to 42 computations (40.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	191501239333.1357	6.47474374560969e+19

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	191501239333.1357	6.47474374560969e+19

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	191501239333.1357	6.47474374560969e+19

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	191501239333.1357	6.47474374560969e+19

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	191501239333.1357	6.47474374560969e+19

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00019717613049460974	23024922.97712282
0.0ms	-1.4270302441704578e+22	-4.1501107055220527e+21

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00019717613049460974	23024922.97712282
0.0ms	-120561630.88506255	-11288924.884855835

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5237317557072596e+301	7.325616765387958e+303

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	0.00023418506035501171	63591.37372524726

Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify13.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
18×	`+-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	123	1194
1	148	1194
2	154	1194
3	161	1194
4	162	1194

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b))))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b)))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b)))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a #s(approx (+ ( 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -10000000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) (.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -100000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 (.f64 b b) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (.f64 #s(literal 4 binary64) (.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))

Outputs
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b))))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 b #s(approx (* b (+ (* b b) (+ (* 4 a) 12))) (.f64 b (.f64 b b))) (.f64 a (.f64 a #s(approx (+ (* 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))))))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) #s(literal 4 binary64))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 #s(literal 2 binary64) (.f64 b b)))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (.f64 a #s(approx (+ ( 2 (* b b)) 4) (.f64 (.f64 b b) #s(literal 2 binary64)))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b)))))
(if (<=.f64 (.f64 b b) #s(literal 200000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a #s(approx (+ ( 4 (neg a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 b (.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -10000000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) (.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -100000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 (.f64 b b) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (.f64 a a) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (.f64 #s(literal 4 binary64) (.f64 a a))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* a (* a (+ (* 2 (* b b)) 4))) (+ (* (* b b) (+ (* b b) (+ (* 4 a) 12))) -1)) #s(approx (+ (* 4 (* a a)) -1) (.f64 #s(literal 4 binary64) (.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))

soundness1.3s (11.4%)

Memory

-20.7MiB live, 822.4MiB allocated

Rules

21 912×	`lower-fma.f64`
21 912×	`lower-fma.f32`
19 992×	`lower-fma.f64`
19 992×	`lower-fma.f32`
19 206×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	8195
1	982	7926
2	3043	7636
3	7526	7632
0	8113	6945
0	449	8855
1	1471	8487
2	4731	8103
0	8215	7398
0	304	6146
1	982	5971
2	2976	5723
0	8111	5263
0	191	2222
1	599	2169
2	1845	2105
3	5761	2012
0	8475	1830

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

Compiler

Compiled 498 to 221 computations (55.6% saved)

preprocess62.0ms (0.6%)

Memory: 17.8MiB live, 95.7MiB allocated
Remove: (abs b)
Compiler: Compiled 674 to 208 computations (69.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.1s (10%)

preprocess714.0ms (6.3%)

explain357.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify606.0ms (5.4%)

localize46.0ms (0.4%)

series10.0ms (0.1%)

simplify474.0ms (4.2%)

rewrite421.0ms (3.7%)

eval122.0ms (1.1%)

prune89.0ms (0.8%)

simplify273.0ms (2.4%)

localize193.0ms (1.7%)

series23.0ms (0.2%)

simplify523.0ms (4.6%)

rewrite501.0ms (4.4%)

eval298.0ms (2.6%)

prune205.0ms (1.8%)

simplify301.0ms (2.7%)

localize193.0ms (1.7%)

series18.0ms (0.2%)

simplify397.0ms (3.5%)

rewrite541.0ms (4.8%)

eval172.0ms (1.5%)

prune115.0ms (1%)

simplify443.0ms (3.9%)

localize140.0ms (1.2%)

series13.0ms (0.1%)

simplify602.0ms (5.3%)

rewrite495.0ms (4.4%)

eval222.0ms (2%)

prune109.0ms (1%)

regimes52.0ms (0.5%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes27.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (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%)

simplify13.0ms (0.1%)

soundness1.3s (11.4%)

preprocess62.0ms (0.6%)

end0.0ms (0%)

Profiling