Metrics for Bouland and Aaronson, Equation (24)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.4MiB 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)

sample1.7s (19.1%)

Memory

-48.9MiB live, 2 155.8MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 779.0ms

ival-mult: 287.0ms (36.8% of total)

ival-add: 192.0ms (24.6% of total)

ival-pow2: 156.0ms (20% of total)

ival-sub: 125.0ms (16% of total)

exact: 11.0ms (1.4% of total)

ival-true: 6.0ms (0.8% of total)

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

Bogosity

explain794.0ms (9.1%)

Memory

-25.5MiB live, 393.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
47	0	-	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)))))`
31	0	-	0	-	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`
17	1	(2.4230041676301515e+123 5.257468302400574e-224)	1	(2.695782066337292e+89 -4.6610406804714314e-156)	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`
0	0	-	0	-	`(*.f64 a a)`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`
0	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	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) a)`
0	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	-	0	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	0	-	0	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(+.f64 #s(literal 3 binary64) a)`
0	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	47	0
↳	`(*.f64 b b)`	overflow	61
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	147
↳	`(*.f64 a a)`	overflow	67
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	112
↳	`(*.f64 b b)`	overflow	61
↳	`(.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	128
↳	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	overflow	128
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	76
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	83
↳	`(*.f64 a a)`	overflow	67
`+.f64`	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	nan-rescue	31	0
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	83
↳	`(*.f64 a a)`	overflow	67
↳	`(*.f64 b b)`	overflow	61
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	76

Confusion

	Predicted +	Predicted -
+	64	0
-	0	192

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	0	0	192

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	192
1	50
2	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

190.0ms

512×

valid

Compiler

Compiled 305 to 58 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-sub: 28.0ms (49% of total)

ival-mult: 14.0ms (24.5% of total)

ival-add: 8.0ms (14% of total)

ival-pow2: 5.0ms (8.7% of total)

exact: 1.0ms (1.7% of total)

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

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

preprocess572.0ms (6.6%)

Memory

-9.1MiB live, 220.8MiB 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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))

Symmetry

(abs b)

Compiler

Compiled 29 to 18 computations (37.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(-.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

▶

74.8%

(-.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 29 to 18 computations (37.9% saved)

simplify310.0ms (3.6%)

Memory

29.5MiB live, 260.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
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 a a) (.f64 b b))
cost-diff	128	(+.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)))))

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

localize88.0ms (1%)

Memory

-20.1MiB live, 98.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.162441259768442	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	3.840128633920351	(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy	6.886689851622882	(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy	9.375000000000002	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))

Samples

72.0ms

256×

valid

Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions

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

ival-mult: 7.0ms (41.1% of total)

ival-add: 4.0ms (23.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-5.4MiB live, 31.6MiB allocated

Counts

5 → 120

Calls

Call 1

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

Outputs
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) (taylor 0 b) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) (taylor 0 b) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 a)) (taylor 0 b) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) (taylor inf a) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf a) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor inf a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (/ 1 a) 1)) (taylor inf a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) (taylor inf a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) (taylor inf a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) (taylor -inf a) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) (taylor -inf a) (#s(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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) (taylor -inf a) (#s(alt (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a)))
2.0ms	b	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a)))
1.0ms	a	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a)))
1.0ms	a	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a)))
1.0ms	a	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a)))

simplify214.0ms (2.5%)

Memory

27.6MiB live, 265.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 152×	`lower-fma.f64`
16 152×	`lower-fma.f32`
3 716×	`lower-+.f64`
3 716×	`lower-+.f32`
3 650×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	1598
1	564	1573
2	1722	1533
3	5129	1478
4	7247	1478
0	8272	1357

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

rewrite239.0ms (2.7%)

Memory

-30.2MiB live, 395.8MiB allocated

Rules

7 560×	`lower-fma.f64`
7 560×	`lower-fma.f32`
4 772×	`lower-*.f32`
4 762×	`lower-*.f64`
3 346×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
0	28	65
1	123	65
2	1061	65
0	8481	56

Stop Event

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

Counts

5 → 451

Calls

Call 1

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

Outputs
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eval154.0ms (1.8%)

Memory: 2.2MiB live, 232.9MiB allocated
Compiler: Compiled 32 704 to 2 453 computations (92.5% saved)

prune14.0ms (0.2%)

Memory

16.6MiB live, 54.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	566	5	571
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	567	5	572

Accuracy

100.0%

Counts

572 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.0%	(-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64))
▶	67.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
▶	69.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	68.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
▶	70.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64))

Compiler

Compiled 160 to 120 computations (25% saved)

simplify189.0ms (2.2%)

Memory

-26.0MiB live, 343.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

15 942×	`lower-fma.f32`
15 932×	`lower-fma.f64`
3 996×	`lower-*.f32`
3 976×	`lower-*.f64`
2 760×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	562
0	85	554
1	159	552
2	383	552
3	1239	548
4	4372	548
0	8172	525

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

localize203.0ms (2.3%)

Memory

3.2MiB live, 280.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.3243161578260725	(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)))
accuracy	6.07419122756803	(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))
accuracy	6.437473165792676	(-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
accuracy	45.06721746712526	(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)))
accuracy	0	(pow.f64 b #s(literal 4 binary64))
accuracy	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	32.556501654140284	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 b #s(literal 4 binary64)))
accuracy	0	(pow.f64 a #s(literal 4 binary64))
accuracy	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	31.19430578350101	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
accuracy	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
accuracy	0.078125	(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
accuracy	0.125	(.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
accuracy	25.03174398508463	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b))
accuracy	0	(*.f64 a a)
accuracy	0.00390625	(fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))
accuracy	0.11851503907376808	(.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))
accuracy	25.355550744656654	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))))

Samples

99.0ms	233×	0	valid
9.0ms	11×	2	valid
8.0ms	12×	1	valid

Compiler

Compiled 513 to 47 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 52.0ms (58% of total)

ival-add: 12.0ms (13.4% of total)

ival-pow2: 7.0ms (7.8% of total)

ival-sub: 6.0ms (6.7% of total)

ival-pow: 6.0ms (6.7% of total)

adjust: 3.0ms (3.3% of total)

ival-div: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series85.0ms (1%)

Memory

11.1MiB live, 140.5MiB allocated

Counts

22 → 456

Calls

Call 1

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

Outputs
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (* 4 a))) (taylor 0 b) (#s(alt (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) (patch (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) (taylor 0 b) (#s(alt (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) (patch (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) (taylor 0 b) (#s(alt (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) (patch (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) (taylor 0 b) (#s(alt (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) (patch (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (* 4 a))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (+ (* 4 a) (pow b 2)))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (+ (* 4 a) (pow b 2)))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (+ (* 4 a) (pow b 2)))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- 4 (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a)))) (taylor -inf a) (#s(alt (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) (patch (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- (+ 4 (* -1 (/ (- (* -4 (pow b 2)) (+ (* -2 (pow b 3)) (+ (* -1 (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b)))) (+ (* -1 (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b)))) (* 2 (pow b 3)))))) a))) (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a)))) (taylor -inf a) (#s(alt (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) (patch (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (+ (* -2 b) (* 2 b))) a)))) (taylor -inf a) (#s(alt (-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- 4 (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a)))) (taylor -inf a) (#s(alt (-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- (+ 4 (* -1 (/ (- (* -4 (pow b 2)) (+ (* -2 (pow b 3)) (+ (* -1 (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b)))) (+ (* -1 (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b)))) (* 2 (pow b 3)))))) a))) (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a)))) (taylor -inf a) (#s(alt (-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 8) (taylor -inf a) (#s(alt (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 8) (+ 1 (* -2 (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 8) (+ 1 (+ (* -2 (/ (pow b 4) (pow a 4))) (/ (pow b 8) (pow a 8))))) (taylor -inf a) (#s(alt (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 8) (+ 1 (+ (* -2 (/ (pow b 4) (pow a 4))) (/ (pow b 8) (pow a 8))))) (taylor -inf a) (#s(alt (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) (patch (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) (patch (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) (patch (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) (patch (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 4)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -2 (/ b a)) (* 2 (/ b a)))) (pow a 4)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow b 2) a)) (+ (* -1 (/ (pow (+ (* -2 b) (* 2 b)) 2) a)) (* 2 (/ (pow b 2) a)))) (+ (* -2 b) (* 2 b))) a))) (pow a 4)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b))) a)) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b))) a)) (* 2 (/ (pow b 3) a))))) (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a)) (+ (* -2 b) (* 2 b))) a))) (pow a 4)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) (- (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) 1) (pow (- (pow a 4) (pow b 4)) 2) (- (pow a 4) (pow b 4)) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) (/ 1 (pow (* (+ a b) (- a b)) 2)))
6.0ms	b	@	-inf	((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) (- (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) 1) (pow (- (pow a 4) (pow b 4)) 2) (- (pow a 4) (pow b 4)) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) (/ 1 (pow (* (+ a b) (- a b)) 2)))
5.0ms	b	@	0	((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) (- (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) 1) (pow (- (pow a 4) (pow b 4)) 2) (- (pow a 4) (pow b 4)) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) (/ 1 (pow (* (+ a b) (- a b)) 2)))
4.0ms	a	@	0	((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) (- (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) 1) (pow (- (pow a 4) (pow b 4)) 2) (- (pow a 4) (pow b 4)) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) (/ 1 (pow (* (+ a b) (- a b)) 2)))
4.0ms	b	@	inf	((+ (* a a) (* (- 1 a) 4)) (* (- 1 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* b b) (+ (* a 4) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow b 4) (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) (- (+ (* (pow (- (pow a 4) (pow b 4)) 2) (/ 1 (pow (* (+ a b) (- a b)) 2))) (* (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) 4)) 1) (pow (- (pow a 4) (pow b 4)) 2) (- (pow a 4) (pow b 4)) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (+ (* (* (- 1 a) a) a) (* (* (+ 3 a) b) b)) (/ 1 (pow (* (+ a b) (- a b)) 2)))

simplify174.0ms (2%)

Memory

-8.8MiB live, 212.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 312×	`lower-fma.f64`
9 312×	`lower-fma.f32`
4 722×	`lower-+.f64`
4 722×	`lower-+.f32`
4 356×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	641	9578
1	2122	8324
0	8381	7674

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(- (+ (* 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)
(+ (* 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)))
(- (+ (* 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)
(+ (* 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 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* (pow b 2) (+ 12 (+ (* 4 a) (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))))
(- (+ (* 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)
(+ (* 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)))
(- (+ (* 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)
(+ (* 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)
(pow b 4)
(pow b 4)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* -1 (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* b (- (* b (- (* 4 (+ 3 a)) (+ (* -4 (pow a 2)) (+ (* -1 (/ (pow (+ (* -2 (pow a 3)) (* 2 (pow a 3))) 2) (pow a 4))) (* 2 (pow a 2)))))) (+ (* -2 (pow a 3)) (* 2 (pow a 3))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -2 a) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (* 2 (pow a 2))) (+ (* -2 (pow a 3)) (* 2 (pow a 3)))) (pow a 4))) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (+ (* -1 (/ (pow (+ (* -2 (pow a 3)) (* 2 (pow a 3))) 2) (pow a 4))) (* 2 (pow a 2)))) (+ (* -2 (pow a 3)) (* 2 (pow a 3)))) (pow a 4))) (* 2 a)))))) (* 4 (+ 3 a))) (+ (* -4 (pow a 2)) (+ (* -1 (/ (pow (+ (* -2 (pow a 3)) (* 2 (pow a 3))) 2) (pow a 4))) (* 2 (pow a 2)))))) (+ (* -2 (pow a 3)) (* 2 (pow a 3))))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* -1 (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* b (- (* b (- (* 4 (+ 3 a)) (+ (* -4 (pow a 2)) (+ (* -1 (/ (pow (+ (* -2 (pow a 3)) (* 2 (pow a 3))) 2) (pow a 4))) (* 2 (pow a 2)))))) (+ (* -2 (pow a 3)) (* 2 (pow a 3))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -2 a) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (* 2 (pow a 2))) (+ (* -2 (pow a 3)) (* 2 (pow a 3)))) (pow a 4))) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (+ (* -1 (/ (pow (+ (* -2 (pow a 3)) (* 2 (pow a 3))) 2) (pow a 4))) (* 2 (pow a 2)))) (+ (* -2 (pow a 3)) (* 2 (pow a 3)))) (pow a 4))) (* 2 a)))))) (* 4 (+ 3 a))) (+ (* -4 (pow a 2)) (+ (* -1 (/ (pow (+ (* -2 (pow a 3)) (* 2 (pow a 3))) 2) (pow a 4))) (* 2 (pow a 2)))))) (+ (* -2 (pow a 3)) (* 2 (pow a 3))))) (pow a 4))) 1)
(pow a 8)
(+ (* -2 (* (pow a 4) (pow b 4))) (pow a 8))
(+ (* (pow b 4) (+ (* -2 (pow a 4)) (pow b 4))) (pow a 8))
(+ (* (pow b 4) (+ (* -2 (pow a 4)) (pow b 4))) (pow a 8))
(pow a 4)
(+ (* -1 (pow b 4)) (pow a 4))
(+ (* -1 (pow b 4)) (pow a 4))
(+ (* -1 (pow b 4)) (pow a 4))
(* (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)))
(/ 1 (pow a 4))
(+ (* 2 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))
(+ (* (pow b 2) (+ (* -2 (/ (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3)))) (pow a 10))) (* 2 (/ 1 (pow a 6))))) (/ 1 (pow a 4)))
(+ (* (pow b 2) (+ (* b (- (* -1 (* b (+ (* -2 (/ (pow (+ (* -2 (pow a 3)) (* 2 (pow a 3))) 2) (pow a 14))) (+ (* 2 (/ (+ (* -4 (pow a 2)) (* 2 (pow a 2))) (pow a 10))) (/ 1 (pow a 8)))))) (* 2 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) (pow a 10))))) (* 2 (/ 1 (pow a 6))))) (/ 1 (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)))))) (/ 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)))))))
(* (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)))))) (/ 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)))))))
(* (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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (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))))))
(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 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)))))))
(* (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)))))) (/ 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)))))))
(* (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)
(pow b 4)
(pow b 4)
(pow b 4)
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (* 2 a)) b))))
(* (pow b 4) (- (+ 1 (* 4 (/ (+ 3 a) (pow b 2)))) (+ (* -4 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ a b)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow b 2))) (+ (* 2 (/ a b)) (* 2 (/ (pow a 2) (pow b 2)))))))))
(* (pow b 4) (- (+ 1 (+ (* -1 (/ (+ (* -2 (pow a 3)) (+ (* -1 (* (+ (* -4 (pow a 2)) (* 2 (pow a 2))) (+ (* -2 a) (* 2 a)))) (+ (* -1 (* (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2)))) (+ (* -2 a) (* 2 a)))) (* 2 (pow a 3))))) (pow b 3))) (* 4 (/ (+ 3 a) (pow b 2))))) (+ (* -4 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ a b)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow b 2))) (+ (* 2 (/ a b)) (* 2 (/ (pow a 2) (pow b 2)))))))))
(pow b 4)
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (* 2 a)) b))))
(* (pow b 4) (- (+ 1 (* 4 (/ (+ 3 a) (pow b 2)))) (+ (* -4 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ a b)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow b 2))) (+ (* 2 (/ a b)) (* 2 (/ (pow a 2) (pow b 2)))))))))
(* (pow b 4) (- (+ 1 (+ (* -1 (/ (+ (* -2 (pow a 3)) (+ (* -1 (* (+ (* -4 (pow a 2)) (* 2 (pow a 2))) (+ (* -2 a) (* 2 a)))) (+ (* -1 (* (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2)))) (+ (* -2 a) (* 2 a)))) (* 2 (pow a 3))))) (pow b 3))) (* 4 (/ (+ 3 a) (pow b 2))))) (+ (* -4 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ a b)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow b 2))) (+ (* 2 (/ a b)) (* 2 (/ (pow a 2) (pow b 2)))))))))
(pow b 8)
(* (pow b 8) (+ 1 (* -2 (/ (pow a 4) (pow b 4)))))
(* (pow b 8) (+ 1 (+ (* -2 (/ (pow a 4) (pow b 4))) (/ (pow a 8) (pow b 8)))))
(* (pow b 8) (+ 1 (+ (* -2 (/ (pow a 4) (pow b 4))) (/ (pow a 8) (pow b 8)))))
(* -1 (pow b 4))
(* (pow b 4) (- (/ (pow a 4) (pow b 4)) 1))
(* (pow b 4) (- (/ (pow a 4) (pow b 4)) 1))
(* (pow b 4) (- (/ (pow a 4) (pow b 4)) 1))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ (* -2 a) (* 2 a)) b))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2)))) (pow b 2)))) (+ (* -2 (/ a b)) (* 2 (/ a b)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (pow a 3)) (+ (* -1 (* (+ (* -4 (pow a 2)) (* 2 (pow a 2))) (+ (* -2 a) (* 2 a)))) (+ (* -1 (* (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2)))) (+ (* -2 a) (* 2 a)))) (* 2 (pow a 3))))) (pow b 3)))) (+ (* -4 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ a b)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) (pow b 2))) (+ (* 2 (/ a b)) (* 2 (/ (pow a 2) (pow b 2)))))))) (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) (+ 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)))))) (/ 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)))))))
(* (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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (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))))))
(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)))
(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)))))))
(* (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)))))) (/ 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)))))))
(* (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)
(pow b 4)
(pow b 4)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (* 2 (/ a b)))))
(* (pow b 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 4 (+ 3 a)) (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2))))) b)) (+ (* -2 a) (* 2 a))) b))))
(* (pow b 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow a 3) b)) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (* 2 (pow a 2))) (+ (* -2 a) (* 2 a))) b)) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2)))) (+ (* -2 a) (* 2 a))) b)) (+ (* 2 (/ (pow a 3) b)) (* 4 (+ 3 a)))))) (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2))))) b)) (+ (* -2 a) (* 2 a))) b))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (* 2 (/ a b)))))
(* (pow b 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 4 (+ 3 a)) (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2))))) b)) (+ (* -2 a) (* 2 a))) b))))
(* (pow b 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow a 3) b)) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (* 2 (pow a 2))) (+ (* -2 a) (* 2 a))) b)) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2)))) (+ (* -2 a) (* 2 a))) b)) (+ (* 2 (/ (pow a 3) b)) (* 4 (+ 3 a)))))) (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2))))) b)) (+ (* -2 a) (* 2 a))) b))))
(pow b 8)
(* (pow b 8) (+ 1 (* -2 (/ (pow a 4) (pow b 4)))))
(* (pow b 8) (+ 1 (+ (* -2 (/ (pow a 4) (pow b 4))) (/ (pow a 8) (pow b 8)))))
(* (pow b 8) (+ 1 (+ (* -2 (/ (pow a 4) (pow b 4))) (/ (pow a 8) (pow b 8)))))
(* -1 (pow b 4))
(* (pow b 4) (- (/ (pow a 4) (pow b 4)) 1))
(* (pow b 4) (- (/ (pow a 4) (pow b 4)) 1))
(* (pow b 4) (- (/ (pow a 4) (pow b 4)) 1))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(/ 1 (pow b 4))
(/ (+ 1 (+ (* -2 (/ a b)) (* 2 (/ a b)))) (pow b 4))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow a 2) b)) (+ (* -1 (/ (pow (+ (* -2 a) (* 2 a)) 2) b)) (* 2 (/ (pow a 2) b)))) (+ (* -2 a) (* 2 a))) b))) (pow b 4))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow a 3) b)) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (* 2 (pow a 2))) (+ (* -2 a) (* 2 a))) b)) (+ (* -1 (/ (* (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2)))) (+ (* -2 a) (* 2 a))) b)) (* 2 (/ (pow a 3) b))))) (+ (* -4 (pow a 2)) (+ (* -1 (pow (+ (* -2 a) (* 2 a)) 2)) (* 2 (pow a 2))))) b)) (+ (* -2 a) (* 2 a))) b))) (pow b 4))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
4
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(+ 4 (* -4 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)
(+ (* 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)))
(- (+ (* 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)
(+ (* 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 b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(* 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))))
(- (+ (* 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)
(+ (* 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)
(pow a 4)
(pow a 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)
(+ (* 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)))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 12 (pow b 2)) (+ (* a (- (* 4 (pow b 2)) (+ (* -2 (pow b 3)) (* 2 (pow b 3))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (- (+ (* 4 (pow b 2)) (* a (- 4 (+ (* -4 (pow b 2)) (+ (* -1 (/ (pow (+ (* -2 (pow b 3)) (* 2 (pow b 3))) 2) (pow b 4))) (* 2 (pow b 2))))))) (+ (* -2 (pow b 3)) (* 2 (pow b 3))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (- (+ (* 4 (pow b 2)) (* a (- (+ 4 (* -1 (* a (+ 4 (+ (* -2 b) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4))) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (+ (* -1 (/ (pow (+ (* -2 (pow b 3)) (* 2 (pow b 3))) 2) (pow b 4))) (* 2 (pow b 2)))) (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4))) (* 2 b)))))))) (+ (* -4 (pow b 2)) (+ (* -1 (/ (pow (+ (* -2 (pow b 3)) (* 2 (pow b 3))) 2) (pow b 4))) (* 2 (pow b 2))))))) (+ (* -2 (pow b 3)) (* 2 (pow b 3))))) (pow b 4)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (- (* 4 (pow b 2)) (+ (* -2 (pow b 3)) (* 2 (pow b 3))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (- (+ (* 4 (pow b 2)) (* a (- 4 (+ (* -4 (pow b 2)) (+ (* -1 (/ (pow (+ (* -2 (pow b 3)) (* 2 (pow b 3))) 2) (pow b 4))) (* 2 (pow b 2))))))) (+ (* -2 (pow b 3)) (* 2 (pow b 3))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (- (+ (* 4 (pow b 2)) (* a (- (+ 4 (* -1 (* a (+ 4 (+ (* -2 b) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4))) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (+ (* -1 (/ (pow (+ (* -2 (pow b 3)) (* 2 (pow b 3))) 2) (pow b 4))) (* 2 (pow b 2)))) (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4))) (* 2 b)))))))) (+ (* -4 (pow b 2)) (+ (* -1 (/ (pow (+ (* -2 (pow b 3)) (* 2 (pow b 3))) 2) (pow b 4))) (* 2 (pow b 2))))))) (+ (* -2 (pow b 3)) (* 2 (pow b 3))))) (pow b 4))) 1)
(pow b 8)
(+ (* -2 (* (pow a 4) (pow b 4))) (pow b 8))
(+ (* (pow a 4) (+ (* -2 (pow b 4)) (pow a 4))) (pow b 8))
(+ (* (pow a 4) (+ (* -2 (pow b 4)) (pow a 4))) (pow b 8))
(* -1 (pow b 4))
(- (pow a 4) (pow b 4))
(- (pow a 4) (pow b 4))
(- (pow a 4) (pow b 4))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(* (pow a 2) (+ 4 (* a (- a 4))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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 b 4))
(+ (* 2 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))
(+ (* (pow a 2) (+ (* -2 (/ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 10))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4)))
(+ (* (pow a 2) (+ (* a (- (* -1 (* a (+ (* -2 (/ (pow (+ (* -2 (pow b 3)) (* 2 (pow b 3))) 2) (pow b 14))) (+ (* 2 (/ (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (pow b 10))) (/ 1 (pow b 8)))))) (* 2 (/ (+ (* -2 (pow b 3)) (* 2 (pow b 3))) (pow b 10))))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 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))))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 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 (+ (* 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 (+ (* 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 (+ (* 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))))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* 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)))
(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 (+ (* 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)
(pow a 4)
(pow a 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 (+ (* 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 (* -1 (/ (+ 4 (+ (* -2 b) (* 2 b))) a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* -4 (/ (pow b 2) (pow a 2))) (+ (* -2 (/ b a)) (+ (* -1 (/ (pow (+ (* -2 b) (* 2 b)) 2) (pow a 2))) (+ (* 2 (/ b a)) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))))))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2)))) (+ (* -4 (/ (pow b 2) (pow a 2))) (+ (* -2 (/ b a)) (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b))) (pow a 3))) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b))) (pow a 3))) (+ (* -1 (/ (pow (+ (* -2 b) (* 2 b)) 2) (pow a 2))) (+ (* 2 (/ b a)) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (* 4 (/ 1 a)))))))))))))
(pow a 4)
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (+ (* -2 b) (* 2 b))) a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* -4 (/ (pow b 2) (pow a 2))) (+ (* -2 (/ b a)) (+ (* -1 (/ (pow (+ (* -2 b) (* 2 b)) 2) (pow a 2))) (+ (* 2 (/ b a)) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))))))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2)))) (+ (* -4 (/ (pow b 2) (pow a 2))) (+ (* -2 (/ b a)) (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b))) (pow a 3))) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b))) (pow a 3))) (+ (* -1 (/ (pow (+ (* -2 b) (* 2 b)) 2) (pow a 2))) (+ (* 2 (/ b a)) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (* 4 (/ 1 a)))))))))))))
(pow a 8)
(* (pow a 8) (+ 1 (* -2 (/ (pow b 4) (pow a 4)))))
(* (pow a 8) (+ 1 (+ (* -2 (/ (pow b 4) (pow a 4))) (/ (pow b 8) (pow a 8)))))
(* (pow a 8) (+ 1 (+ (* -2 (/ (pow b 4) (pow a 4))) (/ (pow b 8) (pow a 8)))))
(pow a 4)
(* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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 4))
(/ (+ 1 (* -1 (/ (+ (* -2 b) (* 2 b)) a))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (pow a 2)))) (+ (* -2 (/ b a)) (* 2 (/ b a)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (pow b 3)) (+ (* -1 (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b)))) (+ (* -1 (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b)))) (* 2 (pow b 3))))) (pow a 3)))) (+ (* -4 (/ (pow b 2) (pow a 2))) (+ (* -2 (/ b a)) (+ (* -1 (/ (pow (+ (* -2 b) (* 2 b)) 2) (pow a 2))) (+ (* 2 (/ b a)) (* 2 (/ (pow b 2) (pow a 2)))))))) (pow a 4))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -4 a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 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))))
(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))))
(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))))
(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 (* a (pow b 2)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 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)))))
(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))))
(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))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(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))))
(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))))
(pow a 4)
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (+ (* -2 b) (* 2 b))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- 4 (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- (+ 4 (* -1 (/ (- (* -4 (pow b 2)) (+ (* -2 (pow b 3)) (+ (* -1 (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b)))) (+ (* -1 (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b)))) (* 2 (pow b 3)))))) a))) (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (+ (* -2 b) (* 2 b))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- 4 (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- (+ 4 (* -1 (/ (- (* -4 (pow b 2)) (+ (* -2 (pow b 3)) (+ (* -1 (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b)))) (+ (* -1 (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b)))) (* 2 (pow b 3)))))) a))) (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a))))
(pow a 8)
(* (pow a 8) (+ 1 (* -2 (/ (pow b 4) (pow a 4)))))
(* (pow a 8) (+ 1 (+ (* -2 (/ (pow b 4) (pow a 4))) (/ (pow b 8) (pow a 8)))))
(* (pow a 8) (+ 1 (+ (* -2 (/ (pow b 4) (pow a 4))) (/ (pow b 8) (pow a 8)))))
(pow a 4)
(* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (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 (* 4 (/ 1 a))) a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -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)))))
(/ 1 (pow a 4))
(/ (+ 1 (+ (* -2 (/ b a)) (* 2 (/ b a)))) (pow a 4))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow b 2) a)) (+ (* -1 (/ (pow (+ (* -2 b) (* 2 b)) 2) a)) (* 2 (/ (pow b 2) a)))) (+ (* -2 b) (* 2 b))) a))) (pow a 4))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b))) a)) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b))) a)) (* 2 (/ (pow b 3) a))))) (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a)) (+ (* -2 b) (* 2 b))) a))) (pow a 4))

Outputs
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (-.f64 (pow.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)
(+.f64 (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.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)
(+.f64 (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.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)
(+.f64 (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (-.f64 (pow.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)
(+.f64 (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.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)
(+.f64 (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.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)
(+.f64 (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))))
(* (pow b 2) (+ 12 (* 4 a)))
(.f64 (.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)
(* b (+ 12 (* 4 a)))
(*.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (-.f64 (pow.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)
(+.f64 (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.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)
(+.f64 (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.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)
(+.f64 (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (-.f64 (pow.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)
(+.f64 (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.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)
(+.f64 (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.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)
(+.f64 (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 a #s(literal 4 binary64)) a) (-.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64))))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))
(+ (* -1 (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))
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4
#s(literal 4 binary64)
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 b (/.f64 b a)) #s(literal 4 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 b (/.f64 b a)) #s(literal 4 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 b (/.f64 b a)) #s(literal 4 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 b (/.f64 b a)) #s(literal 4 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (+ (* -2 b) (* 2 b))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- 4 (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 b b) #s(literal 0 binary64))) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- (+ 4 (* -1 (/ (- (* -4 (pow b 2)) (+ (* -2 (pow b 3)) (+ (* -1 (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b)))) (+ (* -1 (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b)))) (* 2 (pow b 3)))))) a))) (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (.f64 b b) #s(literal 0 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))) a)) (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal 0 binary64))) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (+ (* -2 b) (* 2 b))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- 4 (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 b b) #s(literal 0 binary64))) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (+ 4 (* -1 (/ (- (+ 4 (* -1 (/ (- (* -4 (pow b 2)) (+ (* -2 (pow b 3)) (+ (* -1 (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b)))) (+ (* -1 (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b)))) (* 2 (pow b 3)))))) a))) (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a))) (+ (* -2 b) (* 2 b))) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (.f64 b b) #s(literal 0 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))) a)) (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal 0 binary64))) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 8)
(pow.f64 a #s(literal 8 binary64))
(* (pow a 8) (+ 1 (* -2 (/ (pow b 4) (pow a 4)))))
(*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (+ 1 (+ (* -2 (/ (pow b 4) (pow a 4))) (/ (pow b 8) (pow a 8)))))
(*.f64 (+.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 8 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (+ 1 (+ (* -2 (/ (pow b 4) (pow a 4))) (/ (pow b 8) (pow a 8)))))
(*.f64 (+.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 8 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 8 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (pow b 4) (pow a 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 b) b (.f64 #s(literal -3 binary64) (*.f64 b (/.f64 b a)))) a)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(/ 1 (pow a 4))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))
(/ (+ 1 (+ (* -2 (/ b a)) (* 2 (/ b a)))) (pow a 4))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))
(/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow b 2) a)) (+ (* -1 (/ (pow (+ (* -2 b) (* 2 b)) 2) a)) (* 2 (/ (pow b 2) a)))) (+ (* -2 b) (* 2 b))) a))) (pow a 4))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b (/.f64 b a)) #s(literal -4 binary64) (fma.f64 (.f64 b (/.f64 b a)) #s(literal 2 binary64) #s(literal 0 binary64))) a)) (pow.f64 a #s(literal 4 binary64)))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (* 2 (pow b 2))) (+ (* -2 b) (* 2 b))) a)) (+ (* -1 (/ (* (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2)))) (+ (* -2 b) (* 2 b))) a)) (* 2 (/ (pow b 3) a))))) (+ (* -4 (pow b 2)) (+ (* -1 (pow (+ (* -2 b) (* 2 b)) 2)) (* 2 (pow b 2))))) a)) (+ (* -2 b) (* 2 b))) a))) (pow a 4))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal -2 binary64) (fma.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (.f64 b b) #s(literal 0 binary64)) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal 0 binary64))) a) #s(literal -1 binary64) #s(literal 0 binary64)) a)) (pow.f64 a #s(literal 4 binary64)))

rewrite182.0ms (2.1%)

Memory

40.2MiB live, 354.6MiB allocated

Rules

4 912×	`lower-*.f32`
4 892×	`lower-*.f64`
4 316×	`lower-fma.f32`
4 306×	`lower-fma.f64`
2 996×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	461
0	85	447
1	404	429
2	3131	429
0	8859	399

Stop Event

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

Counts

22 → 714

Calls

Call 1

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

Outputs
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eval252.0ms (2.9%)

Memory: -23.5MiB live, 254.1MiB allocated
Compiler: Compiled 58 961 to 3 620 computations (93.9% saved)

prune31.0ms (0.4%)

Memory

-6.6MiB live, 83.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1 202	10	1 212
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	1 207	10	1 217

Accuracy

100.0%

Counts

1 217 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 b b) (*.f64 b b))) #s(literal 1 binary64))
	69.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64))
▶	69.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
▶	44.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
▶	53.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	64.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
▶	70.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
	67.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
	42.6%	#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)))
	44.7%	#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)))

Compiler

Compiled 206 to 174 computations (15.5% saved)

simplify201.0ms (2.3%)

Memory

28.9MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
cost-diff	832	(.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #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))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff	-5504	(.f64 (.f64 a a) (*.f64 a a))
cost-diff	0	(*.f64 a a)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a 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 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #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))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
cost-diff	0	#s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))

Rules

20 124×	`lower-fma.f32`
20 118×	`lower-fma.f64`
3 710×	`lower--.f32`
3 698×	`lower--.f64`
3 624×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	695
0	81	695
1	166	686
2	383	647
3	887	647
4	1860	639
5	3920	639
6	7332	639
0	8145	602

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

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

localize129.0ms (1.5%)

Memory

-43.5MiB live, 130.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.351325311122427	(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
accuracy	4.7554834726507185	(.f64 (.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))
accuracy	6.585653133914263	(.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
accuracy	25.03174398508463	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)))
accuracy	0	(*.f64 a a)
accuracy	0.11851503907376808	(.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy	25.355550744656654	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
accuracy	30.495518089132947	#s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
accuracy	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
accuracy	0	(*.f64 a a)
accuracy	0.12957001953688402	(.f64 (.f64 a a) (*.f64 a a))
accuracy	31.19430578350101	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	0	(*.f64 a a)
accuracy	0.11851503907376808	(.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))
accuracy	25.355550744656654	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64))))
accuracy	30.80325203282158	#s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64))
accuracy	0	#s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
accuracy	0.04296875	(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
accuracy	0.046875	(.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
accuracy	25.355550744656654	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))

Samples

63.0ms

256×

valid

Compiler

Compiled 472 to 42 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 26.0ms (58% of total)

ival-add: 11.0ms (24.5% of total)

ival-sub: 3.0ms (6.7% of total)

ival-div: 2.0ms (4.5% of total)

ival-pow2: 2.0ms (4.5% of total)

exact: 1.0ms (2.2% of total)

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

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

series40.0ms (0.5%)

Memory

25.2MiB live, 60.4MiB allocated

Counts

23 → 444

Calls

Call 1

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

Outputs
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* a (* (pow b 2) (+ 4 (* 12 (/ 1 a))))) (taylor 0 b) (#s(alt (.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) (patch (.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 12 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (+ (* (- a 4) a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* (- a 4) a) 4) a) (+ (* a a) (* (- 1 a) 4)) (+ (* a a) (* (- 1 a) 4)) (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) (/ (+ (* b b) 12) a))
2.0ms	a	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (+ (* (- a 4) a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* (- a 4) a) 4) a) (+ (* a a) (* (- 1 a) 4)) (+ (* a a) (* (- 1 a) 4)) (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) (/ (+ (* b b) 12) a))
2.0ms	a	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (+ (* (- a 4) a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* (- a 4) a) 4) a) (+ (* a a) (* (- 1 a) 4)) (+ (* a a) (* (- 1 a) 4)) (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) (/ (+ (* b b) 12) a))
2.0ms	b	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (+ (* (- a 4) a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* (- a 4) a) 4) a) (+ (* a a) (* (- 1 a) 4)) (+ (* a a) (* (- 1 a) 4)) (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) (/ (+ (* b b) 12) a))
2.0ms	b	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (+ (* (- a 4) a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (+ (* (- a 4) a) 4) a) (+ (* a a) (* (- 1 a) 4)) (+ (* a a) (* (- 1 a) 4)) (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) (/ (+ (* b b) 12) a))

simplify234.0ms (2.7%)

Memory

-2.5MiB live, 307.8MiB allocated

Algorithm

1×	egg-herbie

Rules

23 742×	`lower-fma.f64`
23 742×	`lower-fma.f32`
5 340×	`lower-*.f64`
5 340×	`lower-*.f32`
3 470×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	7966
1	617	7654
2	1861	7340
3	7026	7260
0	8128	6610

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

rewrite156.0ms (1.8%)

Memory

-29.5MiB live, 265.8MiB allocated

Rules

3 990×	`lower-*.f32`
3 972×	`lower-*.f64`
3 588×	`lower-/.f32`
3 586×	`lower-/.f64`
3 432×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	644
0	82	638
1	372	629
2	2987	629
0	8120	575

Stop Event

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

Counts

23 → 288

Calls

Call 1

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

Outputs
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eval150.0ms (1.7%)

Memory: 30.1MiB live, 139.1MiB allocated
Compiler: Compiled 17 171 to 1 605 computations (90.7% saved)

prune36.0ms (0.4%)

Memory

-15.7MiB live, 65.6MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	798	3	801
Fresh	1	4	5
Picked	1	4	5
Done	0	0	0
Total	800	11	811

Accuracy

100.0%

Counts

811 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64))
✓	69.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓	44.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
✓	53.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	64.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a))) #s(literal 1 binary64))
▶	64.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a))) #s(literal 1 binary64))
✓	70.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
▶	67.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
▶	67.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
	42.6%	#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)))
	44.7%	#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)))

Compiler

Compiled 201 to 168 computations (16.4% saved)

simplify154.0ms (1.8%)

Memory

31.8MiB live, 185.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a))) #s(literal 1 binary64))
cost-diff	192	(.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))
cost-diff	0	#s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a))) #s(literal 1 binary64))
cost-diff	832	(.f64 (.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a)
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 b b #s(literal 12 binary64))
cost-diff	0	(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 b b #s(literal 12 binary64))
cost-diff	0	(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
cost-diff	0	(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #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))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64))

Rules

17 256×	`lower-fma.f32`
17 244×	`lower-fma.f64`
4 200×	`lower-+.f32`
4 198×	`lower-+.f64`
3 308×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	710
0	85	709
1	163	709
2	393	709
3	1037	709
4	2496	692
5	4310	692
0	8494	663

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

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

localize148.0ms (1.7%)

Memory

5.2MiB live, 127.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b)
accuracy	2.511476498189049	(.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))
accuracy	6.585653133914263	(.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a)
accuracy	25.03174398508463	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a)))
accuracy	0.11328125	(*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b)
accuracy	3.351325311122427	(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
accuracy	6.585653133914263	(.f64 (.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a)
accuracy	25.03174398508463	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a)))
accuracy	0	(fma.f64 b b #s(literal 12 binary64))
accuracy	0	(*.f64 b b)
accuracy	0.08984375	(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
accuracy	20.86903631348092	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
accuracy	0	(fma.f64 b b #s(literal 12 binary64))
accuracy	0.02734375	(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
accuracy	0.15234375	(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
accuracy	20.86903631348092	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
accuracy	0.00390625	(fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64)))
accuracy	0.11851503907376808	(.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))
accuracy	25.355550744656654	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64)))))
accuracy	31.142289115053167	#s(approx (* (- 1 a) 4) #s(literal 4 binary64))

Samples

60.0ms	220×	0	valid
10.0ms	15×	2	valid
8.0ms	9×	3	valid
6.0ms	12×	1	valid

Compiler

Compiled 476 to 44 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 35.0ms (56.1% of total)

ival-add: 13.0ms (20.8% of total)

adjust: 5.0ms (8% of total)

ival-div: 4.0ms (6.4% of total)

ival-pow2: 3.0ms (4.8% of total)

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

exact: 1.0ms (1.6% of total)

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

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

series42.0ms (0.5%)

Memory

-12.9MiB live, 61.1MiB allocated

Counts

25 → 492

Calls

Call 1

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

Outputs
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 12 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 12 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 12 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 12 b) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b #s(literal 12 binary64)) b) (patch (.f64 (fma.f64 b b #s(literal 12 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (pow b 2))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b #s(literal 12 binary64)) b) (patch (.f64 (fma.f64 b b #s(literal 12 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (pow b 2))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b #s(literal 12 binary64)) b) (patch (.f64 (fma.f64 b b #s(literal 12 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 12 (pow b 2))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b #s(literal 12 binary64)) b) (patch (.f64 (fma.f64 b b #s(literal 12 binary64)) b) #<representation binary64>) () ())) ())
#s(alt 12 (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 12 binary64)) (patch (fma.f64 b b #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 12 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 12 binary64)) (patch (fma.f64 b b #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 12 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 12 binary64)) (patch (fma.f64 b b #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 12 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 12 binary64)) (patch (fma.f64 b b #s(literal 12 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 12 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 12 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 12 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (.f64 b b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (* a (* (pow b 2) (+ 4 (* 12 (/ 1 a))))) (taylor 0 b) (#s(alt (.f64 (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a) (patch (.f64 (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) (taylor 0 b) (#s(alt (.f64 (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a) (patch (.f64 (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) (taylor 0 b) (#s(alt (.f64 (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a) (patch (.f64 (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) b) a) #<representation binary64>) () ())) ())
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#s(alt (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)) (taylor -inf a) (#s(alt (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) (patch (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a (pow b 2))) (taylor -inf a) (#s(alt (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a) (patch (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a) (patch (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a) (patch (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a) (patch (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (/.f64 b a))) a) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a b)) (taylor -inf a) (#s(alt (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) (patch (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) 12) (* b b)) -1) (* b b) (* (* (* (+ (/ (+ (* b b) 12) a) 4) b) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (* (+ (* b b) (+ (* a 4) 12)) b) (/ b a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (- 1 a) 4) (+ (* a a) (* (- 1 a) 4)) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (* (+ (* b b) (+ (* a 4) 12)) b))
3.0ms	b	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) 12) (* b b)) -1) (* b b) (* (* (* (+ (/ (+ (* b b) 12) a) 4) b) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (* (+ (* b b) (+ (* a 4) 12)) b) (/ b a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (- 1 a) 4) (+ (* a a) (* (- 1 a) 4)) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (* (+ (* b b) (+ (* a 4) 12)) b))
2.0ms	b	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) 12) (* b b)) -1) (* b b) (* (* (* (+ (/ (+ (* b b) 12) a) 4) b) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (* (+ (* b b) (+ (* a 4) 12)) b) (/ b a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (- 1 a) 4) (+ (* a a) (* (- 1 a) 4)) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (* (+ (* b b) (+ (* a 4) 12)) b))
2.0ms	a	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) 12) (* b b)) -1) (* b b) (* (* (* (+ (/ (+ (* b b) 12) a) 4) b) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (* (+ (* b b) (+ (* a 4) 12)) b) (/ b a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (- 1 a) 4) (+ (* a a) (* (- 1 a) 4)) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (* (+ (* b b) (+ (* a 4) 12)) b))
2.0ms	a	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (* (- 1 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) 12) (* b b)) -1) (* b b) (* (* (* (+ (/ (+ (* b b) 12) a) 4) b) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (* (+ (* b b) (+ (* a 4) 12)) b) (/ b a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (* (- 1 a) 4) (+ (* a a) (* (- 1 a) 4)) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b) (* (* (* b b) (+ (/ (+ (* b b) 12) a) 4)) a) (* (+ (* b b) (+ (* a 4) 12)) b))

simplify225.0ms (2.6%)

Memory

1.7MiB live, 203.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 732×	`lower-fma.f64`
17 732×	`lower-fma.f32`
4 374×	`lower-*.f64`
4 374×	`lower-*.f32`
3 726×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	7924
1	750	7743
2	2268	7333
3	6590	7202
0	8155	6485

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

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

rewrite182.0ms (2.1%)

Memory

-15.7MiB live, 232.5MiB allocated

Rules

4 698×	`lower-*.f32`
4 678×	`lower-*.f64`
3 938×	`lower-/.f32`
3 934×	`lower-/.f64`
3 270×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	623
0	85	623
1	360	623
2	2801	623
0	8662	591

Stop Event

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

Counts

25 → 388

Calls

Call 1

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

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eval113.0ms (1.3%)

Memory: 3.4MiB live, 195.8MiB allocated
Compiler: Compiled 21 285 to 2 523 computations (88.1% saved)

prune35.0ms (0.4%)

Memory

-17.4MiB live, 73.5MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	943	9	952
Fresh	0	2	2
Picked	4	1	5
Done	0	4	4
Total	947	16	963

Accuracy

100.0%

Counts

963 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))) a) a)) #s(literal 1 binary64))
✓	69.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓	44.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
✓	53.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
	63.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 (.f64 #s(approx (* (+ (/ (+ (* b b) 12) a) 4) b) (*.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) b)) b) a))) #s(literal 1 binary64))
	62.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 #s(approx ( (* b b) (+ (/ (+ (* b b) 12) a) 4)) (.f64 #s(approx ( (+ (* b b) (+ (* a 4) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) (/.f64 b a))) a))) #s(literal 1 binary64))
	66.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* a 4) 12)) b) b) (.f64 b (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))))) #s(literal 1 binary64))
✓	70.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
✓	67.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
	67.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)))
	51.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
	67.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) 12) (.f64 b b)) (.f64 b b) #s(literal -1 binary64)))
	51.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
	42.6%	#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)))
	44.7%	#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)))
	26.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) 12) (* b b)) -1) #s(literal -1 binary64)))

Compiler

Compiled 531 to 288 computations (45.8% saved)

regimes41.0ms (0.5%)

Memory

12.6MiB live, 51.7MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

9.0ms	b
8.0ms	a
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
8.0ms	(*.f64 b b)
7.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
96.8%	3	`a`
97.3%	2	`b`
96.9%	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))`
96.9%	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)))))`
97.3%	2	`(*.f64 b b)`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes18.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

5.0ms	b
4.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
4.0ms	(*.f64 b b)
4.0ms	(-.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
77.3%	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))`
77.3%	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)))))`
96.2%	2	`b`
96.2%	2	`(*.f64 b b)`

Compiler

Compiled 60 to 40 computations (33.3% saved)

regimes57.0ms (0.7%)

Memory

-25.8MiB live, 13.5MiB 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) 12) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) 12) #s(literal 12 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) (fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 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 #s(approx (+ (* b b) 12) (.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) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (*.f64 b b)) 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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 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))))) (.f64 (.f64 a 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 (.f64 b b) (*.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))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) (fma.f64 #s(literal -4 binary64) a #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))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 a) 4) #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))))) (.f64 (.f64 (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))) a) a)) #s(literal 1 binary64))

Outputs

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

Calls

3 calls:

48.0ms	b
4.0ms	a
4.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
96.1%	3	`a`
95.2%	2	`b`
95.2%	2	`(*.f64 b b)`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes9.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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) 12) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) 12) #s(literal 12 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) (fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 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 #s(approx (+ (* b b) 12) (.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) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (*.f64 b b)) 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 (fma.f64 b b #s(literal 12 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
84.7%	3	`a`
83.1%	2	`b`
83.1%	2	`(*.f64 b b)`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes42.0ms (0.5%)

Memory

-25.4MiB live, 14.3MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

36.0ms	(*.f64 b b)
3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
82.7%	2	`b`
82.7%	2	`(*.f64 b b)`
84.4%	3	`a`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB 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) 12) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) 12) #s(literal 12 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) (fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))

Outputs

(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (* (- 1 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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) (*.f64 b b) #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))
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
58.4%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
58.4%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
71.1%	2	`b`
71.1%	2	`(*.f64 b b)`
70.9%	3	`a`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes9.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB 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) 12) (* b b)) -1) #s(literal -1 binary64)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.3%	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))`
51.3%	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)))))`
51.3%	1	`a`
51.3%	1	`b`
51.3%	1	`(*.f64 b b)`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes10.0ms (0.1%)

Memory

-31.6MiB live, 10.1MiB 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) 12) (* b b)) -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) 12) (* b b)) -1) #s(literal -1 binary64)))

Calls

5 calls:

5.0ms	b
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	(*.f64 b b)

Results

Accuracy	Segments	Branch
26.1%	1	`a`
26.1%	1	`b`
26.1%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
26.1%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
26.1%	1	`(*.f64 b b)`

Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6609114511690007e-40	1.0659398931133076e-33

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6609114511690007e-40	1.0659398931133076e-33

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6609114511690007e-40	1.0659398931133076e-33

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6609114511690007e-40	1.0659398931133076e-33

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6609114511690007e-40	1.0659398931133076e-33

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch73.0ms (0.8%)

Memory

1.0MiB live, 39.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	7.089035849041698e+138	9.559954066693019e+145
20.0ms	-5.695195773166931e+155	-3.46879435948081e+143

Samples

56.0ms

304×

valid

Compiler

Compiled 393 to 383 computations (2.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 38.0ms (77.7% of total)

ival-add: 5.0ms (10.2% of total)

ival-sub: 3.0ms (6.1% of total)

ival-pow2: 3.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.089035849041698e+138	9.559954066693019e+145
1.0ms	-5.695195773166931e+155	-3.46879435948081e+143

Compiler

Compiled 393 to 383 computations (2.5% saved)

bsearch2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.089035849041698e+138	9.559954066693019e+145
1.0ms	-5.695195773166931e+155	-3.46879435948081e+143

Compiler

Compiled 393 to 364 computations (7.4% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3818805889263645e+294	6.24956787370898e+297

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify55.0ms (0.6%)

Memory

-1.9MiB live, 37.2MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-commutative-binary64-.f64`
18×	`sub-neg-binary64-neg.f64-+.f64--.f64`
16×	`+-commutative-binary64-+.f64`
4×	`mul-1-neg-binary64-neg.f64-*.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1059
1	114	1059
2	125	1059
3	137	1059
4	138	1059

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) 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 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.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 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -6099999999999999793695973563508337464929203715360386912358217977399889269819144856936787000611004457850983329830755069213668739649631378259467578126630912 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 94999999999999994804266271122165073836834383259187354824554533851165510035828081492182109952909051022356650662839694890461494792367458459108507648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -6099999999999999793695973563508337464929203715360386912358217977399889269819144856936787000611004457850983329830755069213668739649631378259467578126630912 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 94999999999999994804266271122165073836834383259187354824554533851165510035828081492182109952909051022356650662839694890461494792367458459108507648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (.f64 b b)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -6099999999999999793695973563508337464929203715360386912358217977399889269819144856936787000611004457850983329830755069213668739649631378259467578126630912 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 94999999999999994804266271122165073836834383259187354824554533851165510035828081492182109952909051022356650662839694890461494792367458459108507648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) 12) (.f64 b b)) (.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))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 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 #s(approx (+ (* b b) 12) #s(literal 12 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) (fma.f64 #s(approx (+ (* b b) 12) #s(literal 12 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) #s(approx (+ (* (+ (* b b) 12) (* b b)) -1) #s(literal -1 binary64)))

Outputs
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) 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 (.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* a a) (+ (* a a) (* (- 1 a) 4))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a a #s(approx (* (- 1 a) 4) #s(literal 4 binary64))) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a #s(approx (* (- 1 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.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 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -6099999999999999793695973563508337464929203715360386912358217977399889269819144856936787000611004457850983329830755069213668739649631378259467578126630912 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 94999999999999994804266271122165073836834383259187354824554533851165510035828081492182109952909051022356650662839694890461494792367458459108507648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -6099999999999999793695973563508337464929203715360386912358217977399889269819144856936787000611004457850983329830755069213668739649631378259467578126630912 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx (+ ( a a) (* (- 1 a) 4)) #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 94999999999999994804266271122165073836834383259187354824554533851165510035828081492182109952909051022356650662839694890461494792367458459108507648 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx (+ ( a a) (* (- 1 a) 4)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -6099999999999999793695973563508337464929203715360386912358217977399889269819144856936787000611004457850983329830755069213668739649631378259467578126630912 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 94999999999999994804266271122165073836834383259187354824554533851165510035828081492182109952909051022356650662839694890461494792367458459108507648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (.f64 b b)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -6099999999999999793695973563508337464929203715360386912358217977399889269819144856936787000611004457850983329830755069213668739649631378259467578126630912 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx (+ ( a a) (* (- 1 a) 4)) #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 94999999999999994804266271122165073836834383259187354824554533851165510035828081492182109952909051022356650662839694890461494792367458459108507648 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (.f64 b b)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx (+ ( a a) (* (- 1 a) 4)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -6099999999999999793695973563508337464929203715360386912358217977399889269819144856936787000611004457850983329830755069213668739649631378259467578126630912 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 94999999999999994804266271122165073836834383259187354824554533851165510035828081492182109952909051022356650662839694890461494792367458459108507648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) 12) (.f64 b b)) (.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))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -6099999999999999793695973563508337464929203715360386912358217977399889269819144856936787000611004457850983329830755069213668739649631378259467578126630912 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx (+ ( a a) (* (- 1 a) 4)) #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 94999999999999994804266271122165073836834383259187354824554533851165510035828081492182109952909051022356650662839694890461494792367458459108507648 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) 12) (.f64 b b)) (.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))))) (.f64 #s(approx (+ ( a a) (* (- 1 a) 4)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (* (- 1 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 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx (+ ( a a) (* (- 1 a) 4)) #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 #s(approx (+ (* b b) 12) #s(literal 12 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) (fma.f64 #s(approx (+ (* b b) 12) #s(literal 12 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) #s(approx (+ (* (+ (* b b) 12) (* b b)) -1) #s(literal -1 binary64)))

soundness1.2s (13.9%)

Memory

5.3MiB live, 605.5MiB allocated

Rules

23 742×	`lower-fma.f64`
23 742×	`lower-fma.f32`
17 732×	`lower-fma.f64`
17 732×	`lower-fma.f32`
16 152×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	7966
1	617	7654
2	1861	7340
3	7026	7260
0	8128	6610
0	226	7924
1	750	7743
2	2268	7333
3	6590	7202
0	8155	6485
0	641	9578
1	2122	8324
0	8381	7674
0	52	461
0	85	447
1	404	429
2	3131	429
0	8859	399
0	61	623
0	85	623
1	360	623
2	2801	623
0	8662	591
0	181	1598
1	564	1573
2	1722	1533
3	5129	1478
4	7247	1478
0	8272	1357

Stop Event

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

Compiler

Compiled 723 to 431 computations (40.4% saved)

preprocess105.0ms (1.2%)

Memory: 2.1MiB live, 119.8MiB allocated
Remove: (abs b)
Compiler: Compiled 702 to 224 computations (68.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (19.1%)

explain794.0ms (9.1%)

preprocess572.0ms (6.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify310.0ms (3.6%)

localize88.0ms (1%)

series15.0ms (0.2%)

simplify214.0ms (2.5%)

rewrite239.0ms (2.7%)

eval154.0ms (1.8%)

prune14.0ms (0.2%)

simplify189.0ms (2.2%)

localize203.0ms (2.3%)

series85.0ms (1%)

simplify174.0ms (2%)

rewrite182.0ms (2.1%)

eval252.0ms (2.9%)

prune31.0ms (0.4%)

simplify201.0ms (2.3%)

localize129.0ms (1.5%)

series40.0ms (0.5%)

simplify234.0ms (2.7%)

rewrite156.0ms (1.8%)

eval150.0ms (1.7%)

prune36.0ms (0.4%)

simplify154.0ms (1.8%)

localize148.0ms (1.7%)

series42.0ms (0.5%)

simplify225.0ms (2.6%)

rewrite182.0ms (2.1%)

eval113.0ms (1.3%)

prune35.0ms (0.4%)

regimes41.0ms (0.5%)

regimes18.0ms (0.2%)

regimes57.0ms (0.7%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes42.0ms (0.5%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch73.0ms (0.8%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

simplify55.0ms (0.6%)

soundness1.2s (13.9%)

preprocess105.0ms (1.2%)

end0.0ms (0%)

Profiling